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Extensions 1→N→G→Q→1 with N=C4×C33⋊C2 and Q=C2

Direct product G=N×Q with N=C4×C33⋊C2 and Q=C2
dρLabelID
C2×C4×C33⋊C2216C2xC4xC3^3:C2432,721

Semidirect products G=N:Q with N=C4×C33⋊C2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4×C33⋊C2)⋊1C2 = D12⋊(C3⋊S3)φ: C2/C1 → C2 ⊆ Out C4×C33⋊C272(C4xC3^3:C2):1C2432,662
(C4×C33⋊C2)⋊2C2 = C12.39S32φ: C2/C1 → C2 ⊆ Out C4×C33⋊C272(C4xC3^3:C2):2C2432,664
(C4×C33⋊C2)⋊3C2 = C12⋊S32φ: C2/C1 → C2 ⊆ Out C4×C33⋊C272(C4xC3^3:C2):3C2432,673
(C4×C33⋊C2)⋊4C2 = D4×C33⋊C2φ: C2/C1 → C2 ⊆ Out C4×C33⋊C2108(C4xC3^3:C2):4C2432,724
(C4×C33⋊C2)⋊5C2 = C62.100D6φ: C2/C1 → C2 ⊆ Out C4×C33⋊C2216(C4xC3^3:C2):5C2432,725
(C4×C33⋊C2)⋊6C2 = (Q8×C33)⋊C2φ: C2/C1 → C2 ⊆ Out C4×C33⋊C2216(C4xC3^3:C2):6C2432,727
(C4×C33⋊C2)⋊7C2 = C12.73S32φ: C2/C1 → C2 ⊆ Out C4×C33⋊C272(C4xC3^3:C2):7C2432,667
(C4×C33⋊C2)⋊8C2 = C4×S3×C3⋊S3φ: C2/C1 → C2 ⊆ Out C4×C33⋊C272(C4xC3^3:C2):8C2432,670
(C4×C33⋊C2)⋊9C2 = C62.160D6φ: C2/C1 → C2 ⊆ Out C4×C33⋊C2216(C4xC3^3:C2):9C2432,723

Non-split extensions G=N.Q with N=C4×C33⋊C2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4×C33⋊C2).1C2 = C32⋊9(S3×Q8)φ: C2/C1 → C2 ⊆ Out C4×C33⋊C272(C4xC3^3:C2).1C2432,666
(C4×C33⋊C2).2C2 = Q8×C33⋊C2φ: C2/C1 → C2 ⊆ Out C4×C33⋊C2216(C4xC3^3:C2).2C2432,726
(C4×C33⋊C2).3C2 = C12.69S32φ: C2/C1 → C2 ⊆ Out C4×C33⋊C272(C4xC3^3:C2).3C2432,432
(C4×C33⋊C2).4C2 = C33⋊9M4(2)φ: C2/C1 → C2 ⊆ Out C4×C33⋊C272(C4xC3^3:C2).4C2432,435
(C4×C33⋊C2).5C2 = C33⋊15M4(2)φ: C2/C1 → C2 ⊆ Out C4×C33⋊C2216(C4xC3^3:C2).5C2432,497
(C4×C33⋊C2).6C2 = C8×C33⋊C2φ: trivial image216(C4xC3^3:C2).6C2432,496

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