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

Direct product G=N×Q with N=C₂² and Q=C₂×He₃

		d	ρ	Label	ID
C₂³×He₃		72		C2^3xHe3	216,115

Semidirect products G=N:Q with N=C₂² and Q=C₂×He₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₂×He₃) = C₂×C₃²⋊A₄	φ: C₂×He₃/C₃×C₆ → C₃ ⊆ Aut C₂²	18	3	C2^2:(C2xHe3)	216,107
C₂²⋊₂(C₂×He₃) = D₄×He₃	φ: C₂×He₃/He₃ → C₂ ⊆ Aut C₂²	36	6	C2^2:2(C2xHe3)	216,77

Non-split extensions G=N.Q with N=C₂² and Q=C₂×He₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₂×He₃) = C₂×C₄×He₃	central extension (φ=1)	72		C2^2.(C2xHe3)	216,74

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