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Extensions 1→N→G→Q→1 with N=C22×C33⋊C2 and Q=C2

Direct product G=N×Q with N=C22×C33⋊C2 and Q=C2
dρLabelID
C23×C33⋊C2216C2^3xC3^3:C2432,774

Semidirect products G=N:Q with N=C22×C33⋊C2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22×C33⋊C2)⋊1C2 = C2×C33⋊7D4φ: C2/C1 → C2 ⊆ Out C22×C33⋊C272(C2^2xC3^3:C2):1C2432,681
(C22×C33⋊C2)⋊2C2 = C2×C33⋊8D4φ: C2/C1 → C2 ⊆ Out C22×C33⋊C272(C2^2xC3^3:C2):2C2432,682
(C22×C33⋊C2)⋊3C2 = C62⋊23D6φ: C2/C1 → C2 ⊆ Out C22×C33⋊C236(C2^2xC3^3:C2):3C2432,686
(C22×C33⋊C2)⋊4C2 = C2×C33⋊12D4φ: C2/C1 → C2 ⊆ Out C22×C33⋊C2216(C2^2xC3^3:C2):4C2432,722
(C22×C33⋊C2)⋊5C2 = D4×C33⋊C2φ: C2/C1 → C2 ⊆ Out C22×C33⋊C2108(C2^2xC3^3:C2):5C2432,724
(C22×C33⋊C2)⋊6C2 = C2×C33⋊15D4φ: C2/C1 → C2 ⊆ Out C22×C33⋊C2216(C2^2xC3^3:C2):6C2432,729
(C22×C33⋊C2)⋊7C2 = C22×S3×C3⋊S3φ: C2/C1 → C2 ⊆ Out C22×C33⋊C272(C2^2xC3^3:C2):7C2432,768

Non-split extensions G=N.Q with N=C22×C33⋊C2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22×C33⋊C2).1C2 = C62.79D6φ: C2/C1 → C2 ⊆ Out C22×C33⋊C272(C2^2xC3^3:C2).1C2432,451
(C22×C33⋊C2).2C2 = C62.148D6φ: C2/C1 → C2 ⊆ Out C22×C33⋊C2216(C2^2xC3^3:C2).2C2432,506
(C22×C33⋊C2).3C2 = C2×C33⋊8(C2×C4)φ: C2/C1 → C2 ⊆ Out C22×C33⋊C272(C2^2xC3^3:C2).3C2432,679
(C22×C33⋊C2).4C2 = C2×C4×C33⋊C2φ: trivial image216(C2^2xC3^3:C2).4C2432,721

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