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Extensions 1→N→G→Q→1 with N=C2×C32⋊C4 and Q=C6

Direct product G=N×Q with N=C2×C32⋊C4 and Q=C6
dρLabelID
C2×C6×C32⋊C448C2xC6xC3^2:C4432,765

Semidirect products G=N:Q with N=C2×C32⋊C4 and Q=C6
extensionφ:Q→Out NdρLabelID
(C2×C32⋊C4)⋊1C6 = C3×S32⋊C4φ: C6/C3 → C2 ⊆ Out C2×C32⋊C4244(C2xC3^2:C4):1C6432,574
(C2×C32⋊C4)⋊2C6 = C3×C62⋊C4φ: C6/C3 → C2 ⊆ Out C2×C32⋊C4244(C2xC3^2:C4):2C6432,634
(C2×C32⋊C4)⋊3C6 = C6×S3≀C2φ: C6/C3 → C2 ⊆ Out C2×C32⋊C4244(C2xC3^2:C4):3C6432,754

Non-split extensions G=N.Q with N=C2×C32⋊C4 and Q=C6
extensionφ:Q→Out NdρLabelID
(C2×C32⋊C4).1C6 = C3×C3⋊S3.Q8φ: C6/C3 → C2 ⊆ Out C2×C32⋊C4484(C2xC3^2:C4).1C6432,575
(C2×C32⋊C4).2C6 = C3×C2.PSU3(𝔽2)φ: C6/C3 → C2 ⊆ Out C2×C32⋊C4488(C2xC3^2:C4).2C6432,591
(C2×C32⋊C4).3C6 = C3×C4⋊(C32⋊C4)φ: C6/C3 → C2 ⊆ Out C2×C32⋊C4484(C2xC3^2:C4).3C6432,631
(C2×C32⋊C4).4C6 = C6×F9φ: C6/C3 → C2 ⊆ Out C2×C32⋊C4488(C2xC3^2:C4).4C6432,751
(C2×C32⋊C4).5C6 = C6×PSU3(𝔽2)φ: C6/C3 → C2 ⊆ Out C2×C32⋊C4488(C2xC3^2:C4).5C6432,757
(C2×C32⋊C4).6C6 = C12×C32⋊C4φ: trivial image484(C2xC3^2:C4).6C6432,630

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