# Extensions 1→N→G→Q→1 with N=C3×C3⋊S3 and Q=C2×C4

Direct product G=N×Q with N=C3×C3⋊S3 and Q=C2×C4
dρLabelID
C3⋊S3×C2×C12144C3:S3xC2xC12432,711

Semidirect products G=N:Q with N=C3×C3⋊S3 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
(C3×C3⋊S3)⋊1(C2×C4) = S32×Dic3φ: C2×C4/C2C22 ⊆ Out C3×C3⋊S3488-(C3xC3:S3):1(C2xC4)432,594
(C3×C3⋊S3)⋊2(C2×C4) = S3×C6.D6φ: C2×C4/C2C22 ⊆ Out C3×C3⋊S3248+(C3xC3:S3):2(C2xC4)432,595
(C3×C3⋊S3)⋊3(C2×C4) = Dic36S32φ: C2×C4/C2C22 ⊆ Out C3×C3⋊S3488-(C3xC3:S3):3(C2xC4)432,596
(C3×C3⋊S3)⋊4(C2×C4) = C2×S3×C32⋊C4φ: C2×C4/C2C22 ⊆ Out C3×C3⋊S3248+(C3xC3:S3):4(C2xC4)432,753
(C3×C3⋊S3)⋊5(C2×C4) = S32×C12φ: C2×C4/C4C2 ⊆ Out C3×C3⋊S3484(C3xC3:S3):5(C2xC4)432,648
(C3×C3⋊S3)⋊6(C2×C4) = C4×S3×C3⋊S3φ: C2×C4/C4C2 ⊆ Out C3×C3⋊S372(C3xC3:S3):6(C2xC4)432,670
(C3×C3⋊S3)⋊7(C2×C4) = C4×C324D6φ: C2×C4/C4C2 ⊆ Out C3×C3⋊S3484(C3xC3:S3):7(C2xC4)432,690
(C3×C3⋊S3)⋊8(C2×C4) = C6×C6.D6φ: C2×C4/C22C2 ⊆ Out C3×C3⋊S348(C3xC3:S3):8(C2xC4)432,654
(C3×C3⋊S3)⋊9(C2×C4) = C2×C6×C32⋊C4φ: C2×C4/C22C2 ⊆ Out C3×C3⋊S348(C3xC3:S3):9(C2xC4)432,765
(C3×C3⋊S3)⋊10(C2×C4) = C2×Dic3×C3⋊S3φ: C2×C4/C22C2 ⊆ Out C3×C3⋊S3144(C3xC3:S3):10(C2xC4)432,677
(C3×C3⋊S3)⋊11(C2×C4) = C2×C339(C2×C4)φ: C2×C4/C22C2 ⊆ Out C3×C3⋊S348(C3xC3:S3):11(C2xC4)432,692
(C3×C3⋊S3)⋊12(C2×C4) = C22×C33⋊C4φ: C2×C4/C22C2 ⊆ Out C3×C3⋊S348(C3xC3:S3):12(C2xC4)432,766

Non-split extensions G=N.Q with N=C3×C3⋊S3 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
(C3×C3⋊S3).(C2×C4) = S3×F9φ: C2×C4/C1C2×C4 ⊆ Out C3×C3⋊S32416+(C3xC3:S3).(C2xC4)432,736
(C3×C3⋊S3).2(C2×C4) = C6×F9φ: C2×C4/C2C4 ⊆ Out C3×C3⋊S3488(C3xC3:S3).2(C2xC4)432,751
(C3×C3⋊S3).3(C2×C4) = C2×C3⋊F9φ: C2×C4/C2C4 ⊆ Out C3×C3⋊S3488(C3xC3:S3).3(C2xC4)432,752
(C3×C3⋊S3).4(C2×C4) = C3×S32⋊C4φ: C2×C4/C2C22 ⊆ Out C3×C3⋊S3244(C3xC3:S3).4(C2xC4)432,574
(C3×C3⋊S3).5(C2×C4) = C3×C3⋊S3.Q8φ: C2×C4/C2C22 ⊆ Out C3×C3⋊S3484(C3xC3:S3).5(C2xC4)432,575
(C3×C3⋊S3).6(C2×C4) = C3×C2.PSU3(𝔽2)φ: C2×C4/C2C22 ⊆ Out C3×C3⋊S3488(C3xC3:S3).6(C2xC4)432,591
(C3×C3⋊S3).7(C2×C4) = Dic3×C32⋊C4φ: C2×C4/C2C22 ⊆ Out C3×C3⋊S3488-(C3xC3:S3).7(C2xC4)432,567
(C3×C3⋊S3).8(C2×C4) = C3⋊S3.2D12φ: C2×C4/C2C22 ⊆ Out C3×C3⋊S3244(C3xC3:S3).8(C2xC4)432,579
(C3×C3⋊S3).9(C2×C4) = S32⋊Dic3φ: C2×C4/C2C22 ⊆ Out C3×C3⋊S3244(C3xC3:S3).9(C2xC4)432,580
(C3×C3⋊S3).10(C2×C4) = C33⋊C4⋊C4φ: C2×C4/C2C22 ⊆ Out C3×C3⋊S3484(C3xC3:S3).10(C2xC4)432,581
(C3×C3⋊S3).11(C2×C4) = (C3×C6).8D12φ: C2×C4/C2C22 ⊆ Out C3×C3⋊S3248+(C3xC3:S3).11(C2xC4)432,586
(C3×C3⋊S3).12(C2×C4) = (C3×C6).9D12φ: C2×C4/C2C22 ⊆ Out C3×C3⋊S3488-(C3xC3:S3).12(C2xC4)432,587
(C3×C3⋊S3).13(C2×C4) = C6.PSU3(𝔽2)φ: C2×C4/C2C22 ⊆ Out C3×C3⋊S3488(C3xC3:S3).13(C2xC4)432,592
(C3×C3⋊S3).14(C2×C4) = C6.2PSU3(𝔽2)φ: C2×C4/C2C22 ⊆ Out C3×C3⋊S3488(C3xC3:S3).14(C2xC4)432,593
(C3×C3⋊S3).15(C2×C4) = C12×C32⋊C4φ: C2×C4/C4C2 ⊆ Out C3×C3⋊S3484(C3xC3:S3).15(C2xC4)432,630
(C3×C3⋊S3).16(C2×C4) = C4×C33⋊C4φ: C2×C4/C4C2 ⊆ Out C3×C3⋊S3484(C3xC3:S3).16(C2xC4)432,637

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