Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂³.₃₁D₄

Direct product G=N×Q with N=C₇ and Q=C₂³.₃₁D₄

		d	ρ	Label	ID
C₇×C₂³.₃₁D₄		112		C7xC2^3.31D4	448,132

Semidirect products G=N:Q with N=C₇ and Q=C₂³.₃₁D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂³.₃₁D₄) = C₄⋊Dic₇⋊C₄	φ: C₂³.₃₁D₄/C₂.C₄² → C₂ ⊆ Aut C₇	112		C7:1(C2^3.31D4)	448,9
C₇⋊₂(C₂³.₃₁D₄) = C₂³.₃₀D₂₈	φ: C₂³.₃₁D₄/C₂²⋊C₈ → C₂ ⊆ Aut C₇	112		C7:2(C2^3.31D4)	448,24
C₇⋊₃(C₂³.₃₁D₄) = C₄⋊C₄⋊Dic₇	φ: C₂³.₃₁D₄/C₂²⋊Q₈ → C₂ ⊆ Aut C₇	112		C7:3(C2^3.31D4)	448,95

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