Extensions 1→N→G→Q→1 with N=C₇ and Q=C₄×D₈

Direct product G=N×Q with N=C₇ and Q=C₄×D₈

		d	ρ	Label	ID
D₈×C₂₈		224		D8xC28	448,845

Semidirect products G=N:Q with N=C₇ and Q=C₄×D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₄×D₈) = C₄×D₅₆	φ: C₄×D₈/C₄×C₈ → C₂ ⊆ Aut C₇	224		C7:1(C4xD8)	448,226
C₇⋊₂(C₄×D₈) = Dic₇⋊₄D₈	φ: C₄×D₈/D₄⋊C₄ → C₂ ⊆ Aut C₇	224		C7:2(C4xD8)	448,290
C₇⋊₃(C₄×D₈) = Dic₇⋊₅D₈	φ: C₄×D₈/C₂.D₈ → C₂ ⊆ Aut C₇	224		C7:3(C4xD8)	448,406
C₇⋊₄(C₄×D₈) = C₄×D₄⋊D₇	φ: C₄×D₈/C₄×D₄ → C₂ ⊆ Aut C₇	224		C7:4(C4xD8)	448,547
C₇⋊₅(C₄×D₈) = D₈×Dic₇	φ: C₄×D₈/C₂×D₈ → C₂ ⊆ Aut C₇	224		C7:5(C4xD8)	448,683

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁