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Extensions 1→N→G→Q→1 with N=C3×C22⋊C4 and Q=C4

Direct product G=N×Q with N=C3×C22⋊C4 and Q=C4
dρLabelID
C12×C22⋊C496C12xC2^2:C4192,810

Semidirect products G=N:Q with N=C3×C22⋊C4 and Q=C4
extensionφ:Q→Out NdρLabelID
(C3×C22⋊C4)⋊1C4 = C24⋊5Dic3φ: C4/C1 → C4 ⊆ Out C3×C22⋊C4244(C3xC2^2:C4):1C4192,95
(C3×C22⋊C4)⋊2C4 = (C22×C12)⋊C4φ: C4/C1 → C4 ⊆ Out C3×C22⋊C4484(C3xC2^2:C4):2C4192,98
(C3×C22⋊C4)⋊3C4 = C3×C2≀C4φ: C4/C1 → C4 ⊆ Out C3×C22⋊C4244(C3xC2^2:C4):3C4192,157
(C3×C22⋊C4)⋊4C4 = C3×C23.D4φ: C4/C1 → C4 ⊆ Out C3×C22⋊C4484(C3xC2^2:C4):4C4192,158
(C3×C22⋊C4)⋊5C4 = C24.13D6φ: C4/C2 → C2 ⊆ Out C3×C22⋊C448(C3xC2^2:C4):5C4192,86
(C3×C22⋊C4)⋊6C4 = C3×C23.9D4φ: C4/C2 → C2 ⊆ Out C3×C22⋊C448(C3xC2^2:C4):6C4192,148
(C3×C22⋊C4)⋊7C4 = C24.58D6φ: C4/C2 → C2 ⊆ Out C3×C22⋊C496(C3xC2^2:C4):7C4192,509
(C3×C22⋊C4)⋊8C4 = C24.19D6φ: C4/C2 → C2 ⊆ Out C3×C22⋊C496(C3xC2^2:C4):8C4192,510
(C3×C22⋊C4)⋊9C4 = Dic3×C22⋊C4φ: C4/C2 → C2 ⊆ Out C3×C22⋊C496(C3xC2^2:C4):9C4192,500
(C3×C22⋊C4)⋊10C4 = C3×C23.8Q8φ: C4/C2 → C2 ⊆ Out C3×C22⋊C496(C3xC2^2:C4):10C4192,818
(C3×C22⋊C4)⋊11C4 = C3×C24.C22φ: C4/C2 → C2 ⊆ Out C3×C22⋊C496(C3xC2^2:C4):11C4192,821

Non-split extensions G=N.Q with N=C3×C22⋊C4 and Q=C4
extensionφ:Q→Out NdρLabelID
(C3×C22⋊C4).1C4 = (C2×C12).Q8φ: C4/C2 → C2 ⊆ Out C3×C22⋊C4484(C3xC2^2:C4).1C4192,92
(C3×C22⋊C4).2C4 = C3×M4(2)⋊4C4φ: C4/C2 → C2 ⊆ Out C3×C22⋊C4484(C3xC2^2:C4).2C4192,150
(C3×C22⋊C4).3C4 = C42.43D6φ: C4/C2 → C2 ⊆ Out C3×C22⋊C496(C3xC2^2:C4).3C4192,558
(C3×C22⋊C4).4C4 = C42.187D6φ: C4/C2 → C2 ⊆ Out C3×C22⋊C496(C3xC2^2:C4).4C4192,559
(C3×C22⋊C4).5C4 = C42.47D6φ: C4/C2 → C2 ⊆ Out C3×C22⋊C496(C3xC2^2:C4).5C4192,570
(C3×C22⋊C4).6C4 = C12⋊3M4(2)φ: C4/C2 → C2 ⊆ Out C3×C22⋊C496(C3xC2^2:C4).6C4192,571
(C3×C22⋊C4).7C4 = C12.5C42φ: C4/C2 → C2 ⊆ Out C3×C22⋊C496(C3xC2^2:C4).7C4192,556
(C3×C22⋊C4).8C4 = D4×C3⋊C8φ: C4/C2 → C2 ⊆ Out C3×C22⋊C496(C3xC2^2:C4).8C4192,569
(C3×C22⋊C4).9C4 = C3×C42.6C22φ: C4/C2 → C2 ⊆ Out C3×C22⋊C496(C3xC2^2:C4).9C4192,857
(C3×C22⋊C4).10C4 = C3×C42.7C22φ: C4/C2 → C2 ⊆ Out C3×C22⋊C496(C3xC2^2:C4).10C4192,866
(C3×C22⋊C4).11C4 = C3×C8⋊9D4φ: C4/C2 → C2 ⊆ Out C3×C22⋊C496(C3xC2^2:C4).11C4192,868
(C3×C22⋊C4).12C4 = C3×C8⋊6D4φ: C4/C2 → C2 ⊆ Out C3×C22⋊C496(C3xC2^2:C4).12C4192,869
(C3×C22⋊C4).13C4 = C3×C8○2M4(2)φ: trivial image96(C3xC2^2:C4).13C4192,838
(C3×C22⋊C4).14C4 = D4×C24φ: trivial image96(C3xC2^2:C4).14C4192,867

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