Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂×C₄×He₃

Direct product G=N×Q with N=C₂ and Q=C₂×C₄×He₃

		d	ρ	Label	ID
C₂²×C₄×He₃		144		C2^2xC4xHe3	432,401

Non-split extensions G=N.Q with N=C₂ and Q=C₂×C₄×He₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂×C₄×He₃) = C₄²×He₃	central extension (φ=1)	144		C2.1(C2xC4xHe3)	432,201
C₂.₂(C₂×C₄×He₃) = C₂×C₈×He₃	central extension (φ=1)	144		C2.2(C2xC4xHe3)	432,210
C₂.₃(C₂×C₄×He₃) = C₂²⋊C₄×He₃	central stem extension (φ=1)	72		C2.3(C2xC4xHe3)	432,204
C₂.₄(C₂×C₄×He₃) = C₄⋊C₄×He₃	central stem extension (φ=1)	144		C2.4(C2xC4xHe3)	432,207
C₂.₅(C₂×C₄×He₃) = M₄(2)×He₃	central stem extension (φ=1)	72	6	C2.5(C2xC4xHe3)	432,213

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