Extensions 1→N→G→Q→1 with N=C₇ and Q=D₄⋊₆D₄

Direct product G=N×Q with N=C₇ and Q=D₄⋊₆D₄

		d	ρ	Label	ID
C₇×D₄⋊₆D₄		224		C7xD4:6D4	448,1330

Semidirect products G=N:Q with N=C₇ and Q=D₄⋊₆D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(D₄⋊₆D₄) = C₁₄.2_-¹⁺⁴	φ: D₄⋊₆D₄/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₇	224		C7:1(D4:6D4)	448,960
C₇⋊₂(D₄⋊₆D₄) = D₂₈⋊₂₄D₄	φ: D₄⋊₆D₄/C₄×D₄ → C₂ ⊆ Aut C₇	224		C7:2(D4:6D4)	448,1004
C₇⋊₃(D₄⋊₆D₄) = D₄⋊₆D₂₈	φ: D₄⋊₆D₄/C₄×D₄ → C₂ ⊆ Aut C₇	224		C7:3(D4:6D4)	448,1008
C₇⋊₄(D₄⋊₆D₄) = C₁₄.₇₃2_-¹⁺⁴	φ: D₄⋊₆D₄/C₄⋊D₄ → C₂ ⊆ Aut C₇	224		C7:4(D4:6D4)	448,1064
C₇⋊₅(D₄⋊₆D₄) = D₂₈⋊₂₂D₄	φ: D₄⋊₆D₄/C₂²⋊Q₈ → C₂ ⊆ Aut C₇	224		C7:5(D4:6D4)	448,1084
C₇⋊₆(D₄⋊₆D₄) = C₁₄.₈₂2_-¹⁺⁴	φ: D₄⋊₆D₄/C₂².D₄ → C₂ ⊆ Aut C₇	224		C7:6(D4:6D4)	448,1108
C₇⋊₇(D₄⋊₆D₄) = D₂₈⋊₁₂D₄	φ: D₄⋊₆D₄/C₄⋊Q₈ → C₂ ⊆ Aut C₇	224		C7:7(D4:6D4)	448,1179
C₇⋊₈(D₄⋊₆D₄) = C₁₄.₁₀₄2_-¹⁺⁴	φ: D₄⋊₆D₄/C₂×C₄○D₄ → C₂ ⊆ Aut C₇	224		C7:8(D4:6D4)	448,1277

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁