Extensions 1→N→G→Q→1 with N=C₇ and Q=C₈⋊₇D₄

Direct product G=N×Q with N=C₇ and Q=C₈⋊₇D₄

		d	ρ	Label	ID
C₇×C₈⋊₇D₄		224		C7xC8:7D4	448,874

Semidirect products G=N:Q with N=C₇ and Q=C₈⋊₇D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₈⋊₇D₄) = D₁₄⋊D₈	φ: C₈⋊₇D₄/D₄⋊C₄ → C₂ ⊆ Aut C₇	224		C7:1(C8:7D4)	448,309
C₇⋊₂(C₈⋊₇D₄) = C₈⋊₇D₂₈	φ: C₈⋊₇D₄/C₂.D₈ → C₂ ⊆ Aut C₇	224		C7:2(C8:7D4)	448,417
C₇⋊₃(C₈⋊₇D₄) = C₇⋊C₈⋊₂₂D₄	φ: C₈⋊₇D₄/C₄⋊D₄ → C₂ ⊆ Aut C₇	224		C7:3(C8:7D4)	448,572
C₇⋊₄(C₈⋊₇D₄) = C₅₆⋊₂₉D₄	φ: C₈⋊₇D₄/C₂²×C₈ → C₂ ⊆ Aut C₇	224		C7:4(C8:7D4)	448,649
C₇⋊₅(C₈⋊₇D₄) = C₅₆⋊₆D₄	φ: C₈⋊₇D₄/C₂×D₈ → C₂ ⊆ Aut C₇	224		C7:5(C8:7D4)	448,691

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁