Extensions 1→N→G→Q→1 with N=C22 and Q=C15:Q8

Direct product G=NxQ with N=C22 and Q=C15:Q8
dρLabelID
C22xC15:Q8480C2^2xC15:Q8480,1121

Semidirect products G=N:Q with N=C22 and Q=C15:Q8
extensionφ:Q→Aut NdρLabelID
C22:(C15:Q8) = A4:Dic10φ: C15:Q8/Dic5S3 ⊆ Aut C221206-C2^2:(C15:Q8)480,975
C22:2(C15:Q8) = (C2xC10):8Dic6φ: C15:Q8/C5xDic3C2 ⊆ Aut C22240C2^2:2(C15:Q8)480,651
C22:3(C15:Q8) = (C2xC30):Q8φ: C15:Q8/C3xDic5C2 ⊆ Aut C22240C2^2:3(C15:Q8)480,650
C22:4(C15:Q8) = Dic15.48D4φ: C15:Q8/Dic15C2 ⊆ Aut C22240C2^2:4(C15:Q8)480,652

Non-split extensions G=N.Q with N=C22 and Q=C15:Q8
extensionφ:Q→Aut NdρLabelID
C22.1(C15:Q8) = C12.59D20φ: C15:Q8/C5xDic3C2 ⊆ Aut C222404C2^2.1(C15:Q8)480,69
C22.2(C15:Q8) = C60.105D4φ: C15:Q8/C3xDic5C2 ⊆ Aut C222404C2^2.2(C15:Q8)480,67
C22.3(C15:Q8) = C60.D4φ: C15:Q8/Dic15C2 ⊆ Aut C222404C2^2.3(C15:Q8)480,68
C22.4(C15:Q8) = C30.24C42central extension (φ=1)480C2^2.4(C15:Q8)480,70
C22.5(C15:Q8) = C2xC30.Q8central extension (φ=1)480C2^2.5(C15:Q8)480,617
C22.6(C15:Q8) = C2xDic15:5C4central extension (φ=1)480C2^2.6(C15:Q8)480,620
C22.7(C15:Q8) = C2xC6.Dic10central extension (φ=1)480C2^2.7(C15:Q8)480,621

׿
x
:
Z
F
o
wr
Q
<