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Extensions 1→N→G→Q→1 with N=C2×C24 and Q=C2

Direct product G=N×Q with N=C2×C24 and Q=C2
dρLabelID
C22×C2496C2^2xC2496,176

Semidirect products G=N:Q with N=C2×C24 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C2×C24)⋊1C2 = D6⋊C8φ: C2/C1 → C2 ⊆ Aut C2×C2448(C2xC24):1C296,27
(C2×C24)⋊2C2 = C2.D24φ: C2/C1 → C2 ⊆ Aut C2×C2448(C2xC24):2C296,28
(C2×C24)⋊3C2 = C3×C22⋊C8φ: C2/C1 → C2 ⊆ Aut C2×C2448(C2xC24):3C296,48
(C2×C24)⋊4C2 = C3×D4⋊C4φ: C2/C1 → C2 ⊆ Aut C2×C2448(C2xC24):4C296,52
(C2×C24)⋊5C2 = C2×D24φ: C2/C1 → C2 ⊆ Aut C2×C2448(C2xC24):5C296,110
(C2×C24)⋊6C2 = C4○D24φ: C2/C1 → C2 ⊆ Aut C2×C24482(C2xC24):6C296,111
(C2×C24)⋊7C2 = C2×C24⋊C2φ: C2/C1 → C2 ⊆ Aut C2×C2448(C2xC24):7C296,109
(C2×C24)⋊8C2 = C6×D8φ: C2/C1 → C2 ⊆ Aut C2×C2448(C2xC24):8C296,179
(C2×C24)⋊9C2 = C3×C4○D8φ: C2/C1 → C2 ⊆ Aut C2×C24482(C2xC24):9C296,182
(C2×C24)⋊10C2 = S3×C2×C8φ: C2/C1 → C2 ⊆ Aut C2×C2448(C2xC24):10C296,106
(C2×C24)⋊11C2 = C2×C8⋊S3φ: C2/C1 → C2 ⊆ Aut C2×C2448(C2xC24):11C296,107
(C2×C24)⋊12C2 = C8○D12φ: C2/C1 → C2 ⊆ Aut C2×C24482(C2xC24):12C296,108
(C2×C24)⋊13C2 = C6×SD16φ: C2/C1 → C2 ⊆ Aut C2×C2448(C2xC24):13C296,180
(C2×C24)⋊14C2 = C6×M4(2)φ: C2/C1 → C2 ⊆ Aut C2×C2448(C2xC24):14C296,177
(C2×C24)⋊15C2 = C3×C8○D4φ: C2/C1 → C2 ⊆ Aut C2×C24482(C2xC24):15C296,178

Non-split extensions G=N.Q with N=C2×C24 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C2×C24).1C2 = Dic3⋊C8φ: C2/C1 → C2 ⊆ Aut C2×C2496(C2xC24).1C296,21
(C2×C24).2C2 = C2.Dic12φ: C2/C1 → C2 ⊆ Aut C2×C2496(C2xC24).2C296,23
(C2×C24).3C2 = C3×Q8⋊C4φ: C2/C1 → C2 ⊆ Aut C2×C2496(C2xC24).3C296,53
(C2×C24).4C2 = C3×C4⋊C8φ: C2/C1 → C2 ⊆ Aut C2×C2496(C2xC24).4C296,55
(C2×C24).5C2 = C24⋊1C4φ: C2/C1 → C2 ⊆ Aut C2×C2496(C2xC24).5C296,25
(C2×C24).6C2 = C2×Dic12φ: C2/C1 → C2 ⊆ Aut C2×C2496(C2xC24).6C296,112
(C2×C24).7C2 = C24.C4φ: C2/C1 → C2 ⊆ Aut C2×C24482(C2xC24).7C296,26
(C2×C24).8C2 = C8⋊Dic3φ: C2/C1 → C2 ⊆ Aut C2×C2496(C2xC24).8C296,24
(C2×C24).9C2 = C3×C2.D8φ: C2/C1 → C2 ⊆ Aut C2×C2496(C2xC24).9C296,57
(C2×C24).10C2 = C6×Q16φ: C2/C1 → C2 ⊆ Aut C2×C2496(C2xC24).10C296,181
(C2×C24).11C2 = C3×C8.C4φ: C2/C1 → C2 ⊆ Aut C2×C24482(C2xC24).11C296,58
(C2×C24).12C2 = C2×C3⋊C16φ: C2/C1 → C2 ⊆ Aut C2×C2496(C2xC24).12C296,18
(C2×C24).13C2 = C12.C8φ: C2/C1 → C2 ⊆ Aut C2×C24482(C2xC24).13C296,19
(C2×C24).14C2 = C8×Dic3φ: C2/C1 → C2 ⊆ Aut C2×C2496(C2xC24).14C296,20
(C2×C24).15C2 = C24⋊C4φ: C2/C1 → C2 ⊆ Aut C2×C2496(C2xC24).15C296,22
(C2×C24).16C2 = C3×C4.Q8φ: C2/C1 → C2 ⊆ Aut C2×C2496(C2xC24).16C296,56
(C2×C24).17C2 = C3×C8⋊C4φ: C2/C1 → C2 ⊆ Aut C2×C2496(C2xC24).17C296,47
(C2×C24).18C2 = C3×M5(2)φ: C2/C1 → C2 ⊆ Aut C2×C24482(C2xC24).18C296,60

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