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Extensions 1→N→G→Q→1 with N=C2×C33⋊5C4 and Q=C2

Direct product G=N×Q with N=C2×C33⋊5C4 and Q=C2
dρLabelID
C22×C33⋊5C4432C2^2xC3^3:5C4432,728

Semidirect products G=N:Q with N=C2×C33⋊5C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C33⋊5C4)⋊1C2 = C62.77D6φ: C2/C1 → C2 ⊆ Out C2×C33⋊5C4144(C2xC3^3:5C4):1C2432,449
(C2×C33⋊5C4)⋊2C2 = C62.78D6φ: C2/C1 → C2 ⊆ Out C2×C33⋊5C4144(C2xC3^3:5C4):2C2432,450
(C2×C33⋊5C4)⋊3C2 = C62.148D6φ: C2/C1 → C2 ⊆ Out C2×C33⋊5C4216(C2xC3^3:5C4):3C2432,506
(C2×C33⋊5C4)⋊4C2 = C63.C2φ: C2/C1 → C2 ⊆ Out C2×C33⋊5C4216(C2xC3^3:5C4):4C2432,511
(C2×C33⋊5C4)⋊5C2 = C2×S3×C3⋊Dic3φ: C2/C1 → C2 ⊆ Out C2×C33⋊5C4144(C2xC3^3:5C4):5C2432,674
(C2×C33⋊5C4)⋊6C2 = C62.91D6φ: C2/C1 → C2 ⊆ Out C2×C33⋊5C472(C2xC3^3:5C4):6C2432,676
(C2×C33⋊5C4)⋊7C2 = C2×Dic3×C3⋊S3φ: C2/C1 → C2 ⊆ Out C2×C33⋊5C4144(C2xC3^3:5C4):7C2432,677
(C2×C33⋊5C4)⋊8C2 = C2×C33⋊6D4φ: C2/C1 → C2 ⊆ Out C2×C33⋊5C4144(C2xC3^3:5C4):8C2432,680
(C2×C33⋊5C4)⋊9C2 = C62.100D6φ: C2/C1 → C2 ⊆ Out C2×C33⋊5C4216(C2xC3^3:5C4):9C2432,725
(C2×C33⋊5C4)⋊10C2 = C2×C33⋊15D4φ: C2/C1 → C2 ⊆ Out C2×C33⋊5C4216(C2xC3^3:5C4):10C2432,729
(C2×C33⋊5C4)⋊11C2 = C2×C4×C33⋊C2φ: trivial image216(C2xC3^3:5C4):11C2432,721

Non-split extensions G=N.Q with N=C2×C33⋊5C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C33⋊5C4).1C2 = Dic3×C3⋊Dic3φ: C2/C1 → C2 ⊆ Out C2×C33⋊5C4144(C2xC3^3:5C4).1C2432,448
(C2×C33⋊5C4).2C2 = C62.80D6φ: C2/C1 → C2 ⊆ Out C2×C33⋊5C4144(C2xC3^3:5C4).2C2432,452
(C2×C33⋊5C4).3C2 = C62.81D6φ: C2/C1 → C2 ⊆ Out C2×C33⋊5C4144(C2xC3^3:5C4).3C2432,453
(C2×C33⋊5C4).4C2 = C62.82D6φ: C2/C1 → C2 ⊆ Out C2×C33⋊5C4144(C2xC3^3:5C4).4C2432,454
(C2×C33⋊5C4).5C2 = C62.146D6φ: C2/C1 → C2 ⊆ Out C2×C33⋊5C4432(C2xC3^3:5C4).5C2432,504
(C2×C33⋊5C4).6C2 = C62.147D6φ: C2/C1 → C2 ⊆ Out C2×C33⋊5C4432(C2xC3^3:5C4).6C2432,505
(C2×C33⋊5C4).7C2 = C2×C33⋊4Q8φ: C2/C1 → C2 ⊆ Out C2×C33⋊5C4144(C2xC3^3:5C4).7C2432,683
(C2×C33⋊5C4).8C2 = C2×C33⋊8Q8φ: C2/C1 → C2 ⊆ Out C2×C33⋊5C4432(C2xC3^3:5C4).8C2432,720
(C2×C33⋊5C4).9C2 = C4×C33⋊5C4φ: trivial image432(C2xC3^3:5C4).9C2432,503

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