Extensions 1→N→G→Q→1 with N=He₃ and Q=M₄(2)

Direct product G=N×Q with N=He₃ and Q=M₄(2)

		d	ρ	Label	ID
M₄(2)×He₃		72	6	M4(2)xHe3	432,213

Semidirect products G=N:Q with N=He₃ and Q=M₄(2)

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊₁M₄(2) = He₃⋊₁M₄(2)	φ: M₄(2)/C₄ → C₄ ⊆ Out He₃	72	6	He3:1M4(2)	432,274
He₃⋊₂M₄(2) = He₃⋊M₄(2)	φ: M₄(2)/C₄ → C₂² ⊆ Out He₃	72	6	He3:2M4(2)	432,77
He₃⋊₃M₄(2) = He₃⋊₃M₄(2)	φ: M₄(2)/C₄ → C₂² ⊆ Out He₃	72	6	He3:3M4(2)	432,82
He₃⋊₄M₄(2) = He₃⋊₄M₄(2)	φ: M₄(2)/C₂² → C₄ ⊆ Out He₃	72	6	He3:4M4(2)	432,278
He₃⋊₅M₄(2) = He₃⋊₅M₄(2)	φ: M₄(2)/C₈ → C₂ ⊆ Out He₃	72	6	He3:5M4(2)	432,116
He₃⋊₆M₄(2) = He₃⋊₆M₄(2)	φ: M₄(2)/C₈ → C₂ ⊆ Out He₃	72	6	He3:6M4(2)	432,174
He₃⋊₇M₄(2) = He₃⋊₇M₄(2)	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out He₃	72	6	He3:7M4(2)	432,137
He₃⋊₈M₄(2) = He₃⋊₈M₄(2)	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out He₃	72	6	He3:8M4(2)	432,185

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