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Extensions 1→N→G→Q→1 with N=C22xHe3:C2 and Q=C2

Direct product G=NxQ with N=C22xHe3:C2 and Q=C2
dρLabelID
C23xHe3:C272C2^3xHe3:C2432,561

Semidirect products G=N:Q with N=C22xHe3:C2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22xHe3:C2):1C2 = C2xHe3:3D4φ: C2/C1 → C2 ⊆ Out C22xHe3:C272(C2^2xHe3:C2):1C2432,322
(C22xHe3:C2):2C2 = C62:2D6φ: C2/C1 → C2 ⊆ Out C22xHe3:C2366(C2^2xHe3:C2):2C2432,324
(C22xHe3:C2):3C2 = C2xHe3:5D4φ: C2/C1 → C2 ⊆ Out C22xHe3:C272(C2^2xHe3:C2):3C2432,386
(C22xHe3:C2):4C2 = D4xHe3:C2φ: C2/C1 → C2 ⊆ Out C22xHe3:C2366(C2^2xHe3:C2):4C2432,390
(C22xHe3:C2):5C2 = C2xHe3:7D4φ: C2/C1 → C2 ⊆ Out C22xHe3:C272(C2^2xHe3:C2):5C2432,399
(C22xHe3:C2):6C2 = C22xC32:D6φ: C2/C1 → C2 ⊆ Out C22xHe3:C236(C2^2xHe3:C2):6C2432,545

Non-split extensions G=N.Q with N=C22xHe3:C2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22xHe3:C2).1C2 = C62.5D6φ: C2/C1 → C2 ⊆ Out C22xHe3:C272(C2^2xHe3:C2).1C2432,98
(C22xHe3:C2).2C2 = C62.31D6φ: C2/C1 → C2 ⊆ Out C22xHe3:C272(C2^2xHe3:C2).2C2432,189
(C22xHe3:C2).3C2 = C22:(He3:C4)φ: C2/C1 → C2 ⊆ Out C22xHe3:C2366(C2^2xHe3:C2).3C2432,279
(C22xHe3:C2).4C2 = C2xHe3:(C2xC4)φ: C2/C1 → C2 ⊆ Out C22xHe3:C272(C2^2xHe3:C2).4C2432,321
(C22xHe3:C2).5C2 = C22xHe3:C4φ: C2/C1 → C2 ⊆ Out C22xHe3:C272(C2^2xHe3:C2).5C2432,543
(C22xHe3:C2).6C2 = C2xC4xHe3:C2φ: trivial image72(C2^2xHe3:C2).6C2432,385

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