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Extensions 1→N→G→Q→1 with N=C3×C4⋊C4 and Q=C2

Direct product G=N×Q with N=C3×C4⋊C4 and Q=C2
dρLabelID
C6×C4⋊C496C6xC4:C496,163

Semidirect products G=N:Q with N=C3×C4⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C4⋊C4)⋊1C2 = C6.D8φ: C2/C1 → C2 ⊆ Out C3×C4⋊C448(C3xC4:C4):1C296,16
(C3×C4⋊C4)⋊2C2 = S3×C4⋊C4φ: C2/C1 → C2 ⊆ Out C3×C4⋊C448(C3xC4:C4):2C296,98
(C3×C4⋊C4)⋊3C2 = C4⋊C4⋊7S3φ: C2/C1 → C2 ⊆ Out C3×C4⋊C448(C3xC4:C4):3C296,99
(C3×C4⋊C4)⋊4C2 = Dic3⋊5D4φ: C2/C1 → C2 ⊆ Out C3×C4⋊C448(C3xC4:C4):4C296,100
(C3×C4⋊C4)⋊5C2 = D6.D4φ: C2/C1 → C2 ⊆ Out C3×C4⋊C448(C3xC4:C4):5C296,101
(C3×C4⋊C4)⋊6C2 = C12⋊D4φ: C2/C1 → C2 ⊆ Out C3×C4⋊C448(C3xC4:C4):6C296,102
(C3×C4⋊C4)⋊7C2 = D6⋊Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊C448(C3xC4:C4):7C296,103
(C3×C4⋊C4)⋊8C2 = C4.D12φ: C2/C1 → C2 ⊆ Out C3×C4⋊C448(C3xC4:C4):8C296,104
(C3×C4⋊C4)⋊9C2 = C4⋊C4⋊S3φ: C2/C1 → C2 ⊆ Out C3×C4⋊C448(C3xC4:C4):9C296,105
(C3×C4⋊C4)⋊10C2 = C3×D4⋊C4φ: C2/C1 → C2 ⊆ Out C3×C4⋊C448(C3xC4:C4):10C296,52
(C3×C4⋊C4)⋊11C2 = C3×C4⋊D4φ: C2/C1 → C2 ⊆ Out C3×C4⋊C448(C3xC4:C4):11C296,168
(C3×C4⋊C4)⋊12C2 = C3×C22⋊Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊C448(C3xC4:C4):12C296,169
(C3×C4⋊C4)⋊13C2 = C3×C22.D4φ: C2/C1 → C2 ⊆ Out C3×C4⋊C448(C3xC4:C4):13C296,170
(C3×C4⋊C4)⋊14C2 = C3×C42⋊2C2φ: C2/C1 → C2 ⊆ Out C3×C4⋊C448(C3xC4:C4):14C296,173
(C3×C4⋊C4)⋊15C2 = C3×C42⋊C2φ: trivial image48(C3xC4:C4):15C296,164
(C3×C4⋊C4)⋊16C2 = D4×C12φ: trivial image48(C3xC4:C4):16C296,165

Non-split extensions G=N.Q with N=C3×C4⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C4⋊C4).1C2 = C6.Q16φ: C2/C1 → C2 ⊆ Out C3×C4⋊C496(C3xC4:C4).1C296,14
(C3×C4⋊C4).2C2 = C12.Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊C496(C3xC4:C4).2C296,15
(C3×C4⋊C4).3C2 = C6.SD16φ: C2/C1 → C2 ⊆ Out C3×C4⋊C496(C3xC4:C4).3C296,17
(C3×C4⋊C4).4C2 = Dic6⋊C4φ: C2/C1 → C2 ⊆ Out C3×C4⋊C496(C3xC4:C4).4C296,94
(C3×C4⋊C4).5C2 = C12⋊Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊C496(C3xC4:C4).5C296,95
(C3×C4⋊C4).6C2 = Dic3.Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊C496(C3xC4:C4).6C296,96
(C3×C4⋊C4).7C2 = C4.Dic6φ: C2/C1 → C2 ⊆ Out C3×C4⋊C496(C3xC4:C4).7C296,97
(C3×C4⋊C4).8C2 = C3×Q8⋊C4φ: C2/C1 → C2 ⊆ Out C3×C4⋊C496(C3xC4:C4).8C296,53
(C3×C4⋊C4).9C2 = C3×C4.Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊C496(C3xC4:C4).9C296,56
(C3×C4⋊C4).10C2 = C3×C2.D8φ: C2/C1 → C2 ⊆ Out C3×C4⋊C496(C3xC4:C4).10C296,57
(C3×C4⋊C4).11C2 = C3×C42.C2φ: C2/C1 → C2 ⊆ Out C3×C4⋊C496(C3xC4:C4).11C296,172
(C3×C4⋊C4).12C2 = C3×C4⋊Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊C496(C3xC4:C4).12C296,175
(C3×C4⋊C4).13C2 = Q8×C12φ: trivial image96(C3xC4:C4).13C296,166

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