# Extensions 1→N→G→Q→1 with N=C22×He3⋊C2 and Q=C2

Direct product G=N×Q with N=C22×He3⋊C2 and Q=C2
dρLabelID
C23×He3⋊C272C2^3xHe3:C2432,561

Semidirect products G=N:Q with N=C22×He3⋊C2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22×He3⋊C2)⋊1C2 = C2×He33D4φ: C2/C1C2 ⊆ Out C22×He3⋊C272(C2^2xHe3:C2):1C2432,322
(C22×He3⋊C2)⋊2C2 = C622D6φ: C2/C1C2 ⊆ Out C22×He3⋊C2366(C2^2xHe3:C2):2C2432,324
(C22×He3⋊C2)⋊3C2 = C2×He35D4φ: C2/C1C2 ⊆ Out C22×He3⋊C272(C2^2xHe3:C2):3C2432,386
(C22×He3⋊C2)⋊4C2 = D4×He3⋊C2φ: C2/C1C2 ⊆ Out C22×He3⋊C2366(C2^2xHe3:C2):4C2432,390
(C22×He3⋊C2)⋊5C2 = C2×He37D4φ: C2/C1C2 ⊆ Out C22×He3⋊C272(C2^2xHe3:C2):5C2432,399
(C22×He3⋊C2)⋊6C2 = C22×C32⋊D6φ: C2/C1C2 ⊆ Out C22×He3⋊C236(C2^2xHe3:C2):6C2432,545

Non-split extensions G=N.Q with N=C22×He3⋊C2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22×He3⋊C2).1C2 = C62.5D6φ: C2/C1C2 ⊆ Out C22×He3⋊C272(C2^2xHe3:C2).1C2432,98
(C22×He3⋊C2).2C2 = C62.31D6φ: C2/C1C2 ⊆ Out C22×He3⋊C272(C2^2xHe3:C2).2C2432,189
(C22×He3⋊C2).3C2 = C22⋊(He3⋊C4)φ: C2/C1C2 ⊆ Out C22×He3⋊C2366(C2^2xHe3:C2).3C2432,279
(C22×He3⋊C2).4C2 = C2×He3⋊(C2×C4)φ: C2/C1C2 ⊆ Out C22×He3⋊C272(C2^2xHe3:C2).4C2432,321
(C22×He3⋊C2).5C2 = C22×He3⋊C4φ: C2/C1C2 ⊆ Out C22×He3⋊C272(C2^2xHe3:C2).5C2432,543
(C22×He3⋊C2).6C2 = C2×C4×He3⋊C2φ: trivial image72(C2^2xHe3:C2).6C2432,385

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