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

Direct product G=N×Q with N=C2×C33⋊C4 and Q=C2
dρLabelID
C22×C33⋊C448C2^2xC3^3:C4432,766

Semidirect products G=N:Q with N=C2×C33⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C33⋊C4)⋊1C2 = D6⋊(C32⋊C4)φ: C2/C1C2 ⊆ Out C2×C33⋊C4248+(C2xC3^3:C4):1C2432,568
(C2×C33⋊C4)⋊2C2 = C3⋊S3.2D12φ: C2/C1C2 ⊆ Out C2×C33⋊C4244(C2xC3^3:C4):2C2432,579
(C2×C33⋊C4)⋊3C2 = S32⋊Dic3φ: C2/C1C2 ⊆ Out C2×C33⋊C4244(C2xC3^3:C4):3C2432,580
(C2×C33⋊C4)⋊4C2 = C6211Dic3φ: C2/C1C2 ⊆ Out C2×C33⋊C4244(C2xC3^3:C4):4C2432,641
(C2×C33⋊C4)⋊5C2 = C2×S3×C32⋊C4φ: C2/C1C2 ⊆ Out C2×C33⋊C4248+(C2xC3^3:C4):5C2432,753
(C2×C33⋊C4)⋊6C2 = C2×C33⋊D4φ: C2/C1C2 ⊆ Out C2×C33⋊C4244(C2xC3^3:C4):6C2432,755

Non-split extensions G=N.Q with N=C2×C33⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C33⋊C4).1C2 = Dic3×C32⋊C4φ: C2/C1C2 ⊆ Out C2×C33⋊C4488-(C2xC3^3:C4).1C2432,567
(C2×C33⋊C4).2C2 = C33⋊(C4⋊C4)φ: C2/C1C2 ⊆ Out C2×C33⋊C4488-(C2xC3^3:C4).2C2432,569
(C2×C33⋊C4).3C2 = C33⋊C4⋊C4φ: C2/C1C2 ⊆ Out C2×C33⋊C4484(C2xC3^3:C4).3C2432,581
(C2×C33⋊C4).4C2 = C6.PSU3(𝔽2)φ: C2/C1C2 ⊆ Out C2×C33⋊C4488(C2xC3^3:C4).4C2432,592
(C2×C33⋊C4).5C2 = C6.2PSU3(𝔽2)φ: C2/C1C2 ⊆ Out C2×C33⋊C4488(C2xC3^3:C4).5C2432,593
(C2×C33⋊C4).6C2 = C339(C4⋊C4)φ: C2/C1C2 ⊆ Out C2×C33⋊C4484(C2xC3^3:C4).6C2432,638
(C2×C33⋊C4).7C2 = C2×C33⋊Q8φ: C2/C1C2 ⊆ Out C2×C33⋊C4488(C2xC3^3:C4).7C2432,758
(C2×C33⋊C4).8C2 = C4×C33⋊C4φ: trivial image484(C2xC3^3:C4).8C2432,637

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