Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂³.₇Q₈

Direct product G=N×Q with N=C₇ and Q=C₂³.₇Q₈

		d	ρ	Label	ID
C₇×C₂³.₇Q₈		224		C7xC2^3.7Q8	448,788

Semidirect products G=N:Q with N=C₇ and Q=C₂³.₇Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂³.₇Q₈) = D₁₄⋊(C₄⋊C₄)	φ: C₂³.₇Q₈/C₂.C₄² → C₂ ⊆ Aut C₇	224		C7:1(C2^3.7Q8)	448,201
C₇⋊₂(C₂³.₇Q₈) = C₂⁴.₄₄D₁₄	φ: C₂³.₇Q₈/C₂×C₂²⋊C₄ → C₂ ⊆ Aut C₇	224		C7:2(C2^3.7Q8)	448,476
C₇⋊₃(C₂³.₇Q₈) = C₄⋊(D₁₄⋊C₄)	φ: C₂³.₇Q₈/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₇	224		C7:3(C2^3.7Q8)	448,521
C₇⋊₄(C₂³.₇Q₈) = C₂³.₂₇D₂₈	φ: C₂³.₇Q₈/C₂³×C₄ → C₂ ⊆ Aut C₇	224		C7:4(C2^3.7Q8)	448,746

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁