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Extensions 1→N→G→Q→1 with N=C2xC24 and Q=C2

Direct product G=NxQ with N=C2xC24 and Q=C2
dρLabelID
C22xC2496C2^2xC2496,176

Semidirect products G=N:Q with N=C2xC24 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C2xC24):1C2 = D6:C8φ: C2/C1 → C2 ⊆ Aut C2xC2448(C2xC24):1C296,27
(C2xC24):2C2 = C2.D24φ: C2/C1 → C2 ⊆ Aut C2xC2448(C2xC24):2C296,28
(C2xC24):3C2 = C3xC22:C8φ: C2/C1 → C2 ⊆ Aut C2xC2448(C2xC24):3C296,48
(C2xC24):4C2 = C3xD4:C4φ: C2/C1 → C2 ⊆ Aut C2xC2448(C2xC24):4C296,52
(C2xC24):5C2 = C2xD24φ: C2/C1 → C2 ⊆ Aut C2xC2448(C2xC24):5C296,110
(C2xC24):6C2 = C4oD24φ: C2/C1 → C2 ⊆ Aut C2xC24482(C2xC24):6C296,111
(C2xC24):7C2 = C2xC24:C2φ: C2/C1 → C2 ⊆ Aut C2xC2448(C2xC24):7C296,109
(C2xC24):8C2 = C6xD8φ: C2/C1 → C2 ⊆ Aut C2xC2448(C2xC24):8C296,179
(C2xC24):9C2 = C3xC4oD8φ: C2/C1 → C2 ⊆ Aut C2xC24482(C2xC24):9C296,182
(C2xC24):10C2 = S3xC2xC8φ: C2/C1 → C2 ⊆ Aut C2xC2448(C2xC24):10C296,106
(C2xC24):11C2 = C2xC8:S3φ: C2/C1 → C2 ⊆ Aut C2xC2448(C2xC24):11C296,107
(C2xC24):12C2 = C8oD12φ: C2/C1 → C2 ⊆ Aut C2xC24482(C2xC24):12C296,108
(C2xC24):13C2 = C6xSD16φ: C2/C1 → C2 ⊆ Aut C2xC2448(C2xC24):13C296,180
(C2xC24):14C2 = C6xM4(2)φ: C2/C1 → C2 ⊆ Aut C2xC2448(C2xC24):14C296,177
(C2xC24):15C2 = C3xC8oD4φ: C2/C1 → C2 ⊆ Aut C2xC24482(C2xC24):15C296,178

Non-split extensions G=N.Q with N=C2xC24 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C2xC24).1C2 = Dic3:C8φ: C2/C1 → C2 ⊆ Aut C2xC2496(C2xC24).1C296,21
(C2xC24).2C2 = C2.Dic12φ: C2/C1 → C2 ⊆ Aut C2xC2496(C2xC24).2C296,23
(C2xC24).3C2 = C3xQ8:C4φ: C2/C1 → C2 ⊆ Aut C2xC2496(C2xC24).3C296,53
(C2xC24).4C2 = C3xC4:C8φ: C2/C1 → C2 ⊆ Aut C2xC2496(C2xC24).4C296,55
(C2xC24).5C2 = C24:1C4φ: C2/C1 → C2 ⊆ Aut C2xC2496(C2xC24).5C296,25
(C2xC24).6C2 = C2xDic12φ: C2/C1 → C2 ⊆ Aut C2xC2496(C2xC24).6C296,112
(C2xC24).7C2 = C24.C4φ: C2/C1 → C2 ⊆ Aut C2xC24482(C2xC24).7C296,26
(C2xC24).8C2 = C8:Dic3φ: C2/C1 → C2 ⊆ Aut C2xC2496(C2xC24).8C296,24
(C2xC24).9C2 = C3xC2.D8φ: C2/C1 → C2 ⊆ Aut C2xC2496(C2xC24).9C296,57
(C2xC24).10C2 = C6xQ16φ: C2/C1 → C2 ⊆ Aut C2xC2496(C2xC24).10C296,181
(C2xC24).11C2 = C3xC8.C4φ: C2/C1 → C2 ⊆ Aut C2xC24482(C2xC24).11C296,58
(C2xC24).12C2 = C2xC3:C16φ: C2/C1 → C2 ⊆ Aut C2xC2496(C2xC24).12C296,18
(C2xC24).13C2 = C12.C8φ: C2/C1 → C2 ⊆ Aut C2xC24482(C2xC24).13C296,19
(C2xC24).14C2 = C8xDic3φ: C2/C1 → C2 ⊆ Aut C2xC2496(C2xC24).14C296,20
(C2xC24).15C2 = C24:C4φ: C2/C1 → C2 ⊆ Aut C2xC2496(C2xC24).15C296,22
(C2xC24).16C2 = C3xC4.Q8φ: C2/C1 → C2 ⊆ Aut C2xC2496(C2xC24).16C296,56
(C2xC24).17C2 = C3xC8:C4φ: C2/C1 → C2 ⊆ Aut C2xC2496(C2xC24).17C296,47
(C2xC24).18C2 = C3xM5(2)φ: C2/C1 → C2 ⊆ Aut C2xC24482(C2xC24).18C296,60

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