Extensions 1→N→G→Q→1 with N=C₇ and Q=M₄(2)⋊₄C₄

Direct product G=N×Q with N=C₇ and Q=M₄(2)⋊₄C₄

		d	ρ	Label	ID
C₇×M₄(2)⋊₄C₄		112	4	C7xM4(2):4C4	448,148

Semidirect products G=N:Q with N=C₇ and Q=M₄(2)⋊₄C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(M₄(2)⋊₄C₄) = (C₂×C₂₈).Q₈	φ: M₄(2)⋊₄C₄/C₄²⋊C₂ → C₂ ⊆ Aut C₇	112	4	C7:1(M4(2):4C4)	448,90
C₇⋊₂(M₄(2)⋊₄C₄) = (C₂×C₅₆)⋊C₄	φ: M₄(2)⋊₄C₄/C₂×M₄(2) → C₂ ⊆ Aut C₇	112	4	C7:2(M4(2):4C4)	448,113
C₇⋊₃(M₄(2)⋊₄C₄) = M₄(2)⋊₄Dic₇	φ: M₄(2)⋊₄C₄/C₂×M₄(2) → C₂ ⊆ Aut C₇	112	4	C7:3(M4(2):4C4)	448,116

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