Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂³.₄₈D₄

Direct product G=N×Q with N=C₇ and Q=C₂³.₄₈D₄

		d	ρ	Label	ID
C₇×C₂³.₄₈D₄		224		C7xC2^3.48D4	448,892

Semidirect products G=N:Q with N=C₇ and Q=C₂³.₄₈D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂³.₄₈D₄) = C₂³.₃₅D₂₈	φ: C₂³.₄₈D₄/C₂²⋊C₈ → C₂ ⊆ Aut C₇	224		C7:1(C2^3.48D4)	448,256
C₇⋊₂(C₂³.₄₈D₄) = D₁₄.Q₁₆	φ: C₂³.₄₈D₄/Q₈⋊C₄ → C₂ ⊆ Aut C₇	224		C7:2(C2^3.48D4)	448,343
C₇⋊₃(C₂³.₄₈D₄) = D₁₄.₂Q₁₆	φ: C₂³.₄₈D₄/C₂.D₈ → C₂ ⊆ Aut C₇	224		C7:3(C2^3.48D4)	448,418
C₇⋊₄(C₂³.₄₈D₄) = C₄⋊C₄.₂₃₀D₁₄	φ: C₂³.₄₈D₄/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₇	224		C7:4(C2^3.48D4)	448,504
C₇⋊₅(C₂³.₄₈D₄) = (C₂×C₁₄).Q₁₆	φ: C₂³.₄₈D₄/C₂²⋊Q₈ → C₂ ⊆ Aut C₇	224		C7:5(C2^3.48D4)	448,578

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁