Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂⁴.₄C₄

Direct product G=N×Q with N=C₇ and Q=C₂⁴.₄C₄

		d	ρ	Label	ID
C₇×C₂⁴.₄C₄		112		C7xC2^4.4C4	448,815

Semidirect products G=N:Q with N=C₇ and Q=C₂⁴.₄C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂⁴.₄C₄) = D₁₄⋊M₄(2)	φ: C₂⁴.₄C₄/C₂²⋊C₈ → C₂ ⊆ Aut C₇	112		C7:1(C2^4.4C4)	448,260
C₇⋊₂(C₂⁴.₄C₄) = D₁₄⋊₆M₄(2)	φ: C₂⁴.₄C₄/C₂×M₄(2) → C₂ ⊆ Aut C₇	112		C7:2(C2^4.4C4)	448,660
C₇⋊₃(C₂⁴.₄C₄) = C₂⁴.₄Dic₇	φ: C₂⁴.₄C₄/C₂³×C₄ → C₂ ⊆ Aut C₇	112		C7:3(C2^4.4C4)	448,741

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