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

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

		d	ρ	Label	ID
C₂×He₃⋊(C₂×C₄)		72		C2xHe3:(C2xC4)	432,321

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(He₃⋊(C₂×C₄)) = C₁₂.₈₉S₃²	central extension (φ=1)	72	6	C2.1(He3:(C2xC4))	432,81
C₂.₂(He₃⋊(C₂×C₄)) = He₃⋊C₄²	central extension (φ=1)	144		C2.2(He3:(C2xC4))	432,94
C₂.₃(He₃⋊(C₂×C₄)) = He₃⋊₃M₄(2)	central stem extension (φ=1)	72	6	C2.3(He3:(C2xC4))	432,82
C₂.₄(He₃⋊(C₂×C₄)) = C₆².₃D₆	central stem extension (φ=1)	144		C2.4(He3:(C2xC4))	432,96
C₂.₅(He₃⋊(C₂×C₄)) = C₆².₅D₆	central stem extension (φ=1)	72		C2.5(He3:(C2xC4))	432,98

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