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Extensions 1→N→G→Q→1 with N=C2×C3⋊C8 and Q=C2

Direct product G=N×Q with N=C2×C3⋊C8 and Q=C2
dρLabelID
C22×C3⋊C896C2^2xC3:C896,127

Semidirect products G=N:Q with N=C2×C3⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C3⋊C8)⋊1C2 = C6.D8φ: C2/C1 → C2 ⊆ Out C2×C3⋊C848(C2xC3:C8):1C296,16
(C2×C3⋊C8)⋊2C2 = D4⋊Dic3φ: C2/C1 → C2 ⊆ Out C2×C3⋊C848(C2xC3:C8):2C296,39
(C2×C3⋊C8)⋊3C2 = D12.C4φ: C2/C1 → C2 ⊆ Out C2×C3⋊C8484(C2xC3:C8):3C296,114
(C2×C3⋊C8)⋊4C2 = C2×D4⋊S3φ: C2/C1 → C2 ⊆ Out C2×C3⋊C848(C2xC3:C8):4C296,138
(C2×C3⋊C8)⋊5C2 = C2×D4.S3φ: C2/C1 → C2 ⊆ Out C2×C3⋊C848(C2xC3:C8):5C296,140
(C2×C3⋊C8)⋊6C2 = C2×Q8⋊2S3φ: C2/C1 → C2 ⊆ Out C2×C3⋊C848(C2xC3:C8):6C296,148
(C2×C3⋊C8)⋊7C2 = D4.Dic3φ: C2/C1 → C2 ⊆ Out C2×C3⋊C8484(C2xC3:C8):7C296,155
(C2×C3⋊C8)⋊8C2 = Q8.13D6φ: C2/C1 → C2 ⊆ Out C2×C3⋊C8484(C2xC3:C8):8C296,157
(C2×C3⋊C8)⋊9C2 = D6⋊C8φ: C2/C1 → C2 ⊆ Out C2×C3⋊C848(C2xC3:C8):9C296,27
(C2×C3⋊C8)⋊10C2 = C12.55D4φ: C2/C1 → C2 ⊆ Out C2×C3⋊C848(C2xC3:C8):10C296,37
(C2×C3⋊C8)⋊11C2 = C2×C8⋊S3φ: C2/C1 → C2 ⊆ Out C2×C3⋊C848(C2xC3:C8):11C296,107
(C2×C3⋊C8)⋊12C2 = C2×C4.Dic3φ: C2/C1 → C2 ⊆ Out C2×C3⋊C848(C2xC3:C8):12C296,128
(C2×C3⋊C8)⋊13C2 = S3×C2×C8φ: trivial image48(C2xC3:C8):13C296,106

Non-split extensions G=N.Q with N=C2×C3⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C3⋊C8).1C2 = C6.Q16φ: C2/C1 → C2 ⊆ Out C2×C3⋊C896(C2xC3:C8).1C296,14
(C2×C3⋊C8).2C2 = C12.Q8φ: C2/C1 → C2 ⊆ Out C2×C3⋊C896(C2xC3:C8).2C296,15
(C2×C3⋊C8).3C2 = C6.SD16φ: C2/C1 → C2 ⊆ Out C2×C3⋊C896(C2xC3:C8).3C296,17
(C2×C3⋊C8).4C2 = C12.53D4φ: C2/C1 → C2 ⊆ Out C2×C3⋊C8484(C2xC3:C8).4C296,29
(C2×C3⋊C8).5C2 = Q8⋊2Dic3φ: C2/C1 → C2 ⊆ Out C2×C3⋊C896(C2xC3:C8).5C296,42
(C2×C3⋊C8).6C2 = C2×C3⋊Q16φ: C2/C1 → C2 ⊆ Out C2×C3⋊C896(C2xC3:C8).6C296,150
(C2×C3⋊C8).7C2 = C42.S3φ: C2/C1 → C2 ⊆ Out C2×C3⋊C896(C2xC3:C8).7C296,10
(C2×C3⋊C8).8C2 = C12⋊C8φ: C2/C1 → C2 ⊆ Out C2×C3⋊C896(C2xC3:C8).8C296,11
(C2×C3⋊C8).9C2 = Dic3⋊C8φ: C2/C1 → C2 ⊆ Out C2×C3⋊C896(C2xC3:C8).9C296,21
(C2×C3⋊C8).10C2 = C24⋊C4φ: C2/C1 → C2 ⊆ Out C2×C3⋊C896(C2xC3:C8).10C296,22
(C2×C3⋊C8).11C2 = C4×C3⋊C8φ: trivial image96(C2xC3:C8).11C296,9
(C2×C3⋊C8).12C2 = C8×Dic3φ: trivial image96(C2xC3:C8).12C296,20

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