Name all groups of order 24?

Answer 1

Order 24 is a beast to classify. I'm doing my own little project working my way up the orders, but I'm not at 24 yet. Anyway, I did find the list of groups using the link from two answers above me.

The 3 abelian groups are:
C_24,
C_2 x C_12
C_2 x C_2 x C_6

The 12 nonabelian groups are:
C_3 x| C_8
SL_2(3) = Q_8 x| C_3
Dic(C_12)
D_3 x C_4
D_12 = C_4 x| D_3
Dic(C_6) x C_2 = C_6 x| C_4
C_3 x| D_4 (where the kernel of the action is non-cyclic)
D_4 x C_3 = C_4 x| C_6 = (C_2 x C_2) x| C_6
Q_8 x C_3
S_4 = PGL_2(3) = Hol(C_2 x C_2)
A_4 x C_2 = (C_2 x C_2 x C_2) x| C_3
D_6 x C_2 = Dih(C_2 x C_6)

I also found a powerpoint of a student's presentation on how to classify the groups of order 24. You can find his paper at http://www.uwec.edu/Math/papers/2006_ElgindiTM-A_Classification_of_Groups_of_Order_24.ppt

Answer 2

in the jiffy I even have lived and the few Church's i've got been in and the few i've got learn none have come close in my humble opinion as Jehovah's witness . they do no longer look to be appropriate and make blunders ,yet who's appropriate and is unifiable EX. the Jews have been Jehovah's chosen human beings and look on the various blunders they made .....( chatting with the jews "If purely you had paid interest to my instructions, your peace might have been like a river, your righteousness like the waves of the sea". Isaiah 40 8:18).. JW for my section keep striving and gaging there existence with the aid of bible important

Answer 3

r u sure u dont mean factors ...i never heard the term order .....the factors are 6 and 4, 2 and 12, 1 and 24

goodluck

Answer 4

Why?

ANYway: See the same question--with answers!--at http://www.groupsrv.com/science/viewtopic.php?p=533037

Be sure to read the whole thing. There's significant back and forth. (I don't know what it means, but presumably you will.)

Answer 5

what???????