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

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

Semidirect products G=N:Q with N=C6×C32⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C6×C32⋊C4)⋊1C2 = D6⋊(C32⋊C4)φ: C2/C1C2 ⊆ Out C6×C32⋊C4248+(C6xC3^2:C4):1C2432,568
(C6×C32⋊C4)⋊2C2 = C3×S32⋊C4φ: C2/C1C2 ⊆ Out C6×C32⋊C4244(C6xC3^2:C4):2C2432,574
(C6×C32⋊C4)⋊3C2 = (C3×C6).8D12φ: C2/C1C2 ⊆ Out C6×C32⋊C4248+(C6xC3^2:C4):3C2432,586
(C6×C32⋊C4)⋊4C2 = C3×C62⋊C4φ: C2/C1C2 ⊆ Out C6×C32⋊C4244(C6xC3^2:C4):4C2432,634
(C6×C32⋊C4)⋊5C2 = C2×C322D12φ: C2/C1C2 ⊆ Out C6×C32⋊C4248+(C6xC3^2:C4):5C2432,756
(C6×C32⋊C4)⋊6C2 = C2×S3×C32⋊C4φ: C2/C1C2 ⊆ Out C6×C32⋊C4248+(C6xC3^2:C4):6C2432,753
(C6×C32⋊C4)⋊7C2 = C6×S3≀C2φ: C2/C1C2 ⊆ Out C6×C32⋊C4244(C6xC3^2:C4):7C2432,754

Non-split extensions G=N.Q with N=C6×C32⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C6×C32⋊C4).1C2 = C33⋊(C4⋊C4)φ: C2/C1C2 ⊆ Out C6×C32⋊C4488-(C6xC3^2:C4).1C2432,569
(C6×C32⋊C4).2C2 = C6.PSU3(𝔽2)φ: C2/C1C2 ⊆ Out C6×C32⋊C4488(C6xC3^2:C4).2C2432,592
(C6×C32⋊C4).3C2 = C3×C4⋊(C32⋊C4)φ: C2/C1C2 ⊆ Out C6×C32⋊C4484(C6xC3^2:C4).3C2432,631
(C6×C32⋊C4).4C2 = C6×F9φ: C2/C1C2 ⊆ Out C6×C32⋊C4488(C6xC3^2:C4).4C2432,751
(C6×C32⋊C4).5C2 = (C3×C6).9D12φ: C2/C1C2 ⊆ Out C6×C32⋊C4488-(C6xC3^2:C4).5C2432,587
(C6×C32⋊C4).6C2 = C6.2PSU3(𝔽2)φ: C2/C1C2 ⊆ Out C6×C32⋊C4488(C6xC3^2:C4).6C2432,593
(C6×C32⋊C4).7C2 = C2×C33⋊Q8φ: C2/C1C2 ⊆ Out C6×C32⋊C4488(C6xC3^2:C4).7C2432,758
(C6×C32⋊C4).8C2 = Dic3×C32⋊C4φ: C2/C1C2 ⊆ Out C6×C32⋊C4488-(C6xC3^2:C4).8C2432,567
(C6×C32⋊C4).9C2 = C2×C3⋊F9φ: C2/C1C2 ⊆ Out C6×C32⋊C4488(C6xC3^2:C4).9C2432,752
(C6×C32⋊C4).10C2 = C3×C3⋊S3.Q8φ: C2/C1C2 ⊆ Out C6×C32⋊C4484(C6xC3^2:C4).10C2432,575
(C6×C32⋊C4).11C2 = C3×C2.PSU3(𝔽2)φ: C2/C1C2 ⊆ Out C6×C32⋊C4488(C6xC3^2:C4).11C2432,591
(C6×C32⋊C4).12C2 = C6×PSU3(𝔽2)φ: C2/C1C2 ⊆ Out C6×C32⋊C4488(C6xC3^2:C4).12C2432,757
(C6×C32⋊C4).13C2 = C12×C32⋊C4φ: trivial image484(C6xC3^2:C4).13C2432,630

׿
×
𝔽