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Extensions 1→N→G→Q→1 with N=C3×C32⋊C4 and Q=C22

Direct product G=N×Q with N=C3×C32⋊C4 and Q=C22
dρLabelID
C2×C6×C32⋊C448C2xC6xC3^2:C4432,765

Semidirect products G=N:Q with N=C3×C32⋊C4 and Q=C22
extensionφ:Q→Out NdρLabelID
(C3×C32⋊C4)⋊C22 = S3×S3≀C2φ: C22/C1 → C22 ⊆ Out C3×C32⋊C4128+(C3xC3^2:C4):C2^2432,741
(C3×C32⋊C4)⋊2C22 = C2×C32⋊2D12φ: C22/C2 → C2 ⊆ Out C3×C32⋊C4248+(C3xC3^2:C4):2C2^2432,756
(C3×C32⋊C4)⋊3C22 = C2×S3×C32⋊C4φ: C22/C2 → C2 ⊆ Out C3×C32⋊C4248+(C3xC3^2:C4):3C2^2432,753
(C3×C32⋊C4)⋊4C22 = C6×S3≀C2φ: C22/C2 → C2 ⊆ Out C3×C32⋊C4244(C3xC3^2:C4):4C2^2432,754

Non-split extensions G=N.Q with N=C3×C32⋊C4 and Q=C22
extensionφ:Q→Out NdρLabelID
(C3×C32⋊C4).1C22 = F9⋊S3φ: C22/C1 → C22 ⊆ Out C3×C32⋊C42416+(C3xC3^2:C4).1C2^2432,740
(C3×C32⋊C4).2C22 = C33⋊SD16φ: C22/C1 → C22 ⊆ Out C3×C32⋊C4248(C3xC3^2:C4).2C2^2432,738
(C3×C32⋊C4).3C22 = C33⋊3SD16φ: C22/C1 → C22 ⊆ Out C3×C32⋊C42416+(C3xC3^2:C4).3C2^2432,739
(C3×C32⋊C4).4C22 = S3×PSU3(𝔽2)φ: C22/C1 → C22 ⊆ Out C3×C32⋊C42416+(C3xC3^2:C4).4C2^2432,742
(C3×C32⋊C4).5C22 = S3×F9φ: C22/C1 → C22 ⊆ Out C3×C32⋊C42416+(C3xC3^2:C4).5C2^2432,736
(C3×C32⋊C4).6C22 = C3×AΓL1(𝔽9)φ: C22/C1 → C22 ⊆ Out C3×C32⋊C4248(C3xC3^2:C4).6C2^2432,737
(C3×C32⋊C4).7C22 = C6×F9φ: C22/C2 → C2 ⊆ Out C3×C32⋊C4488(C3xC3^2:C4).7C2^2432,751
(C3×C32⋊C4).8C22 = C2×C33⋊Q8φ: C22/C2 → C2 ⊆ Out C3×C32⋊C4488(C3xC3^2:C4).8C2^2432,758
(C3×C32⋊C4).9C22 = C2×C3⋊F9φ: C22/C2 → C2 ⊆ Out C3×C32⋊C4488(C3xC3^2:C4).9C2^2432,752
(C3×C32⋊C4).10C22 = C6×PSU3(𝔽2)φ: C22/C2 → C2 ⊆ Out C3×C32⋊C4488(C3xC3^2:C4).10C2^2432,757

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