Extensions 1→N→G→Q→1 with N=C₇ and Q=D₄⋊₅D₄

Direct product G=N×Q with N=C₇ and Q=D₄⋊₅D₄

		d	ρ	Label	ID
C₇×D₄⋊₅D₄		112		C7xD4:5D4	448,1329

Semidirect products G=N:Q with N=C₇ and Q=D₄⋊₅D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(D₄⋊₅D₄) = C₂⁴.₂₇D₁₄	φ: D₄⋊₅D₄/C₂×C₂²⋊C₄ → C₂ ⊆ Aut C₇	112		C7:1(D4:5D4)	448,943
C₇⋊₂(D₄⋊₅D₄) = D₂₈⋊₂₃D₄	φ: D₄⋊₅D₄/C₄×D₄ → C₂ ⊆ Aut C₇	112		C7:2(D4:5D4)	448,1003
C₇⋊₃(D₄⋊₅D₄) = D₄⋊₅D₂₈	φ: D₄⋊₅D₄/C₄×D₄ → C₂ ⊆ Aut C₇	112		C7:3(D4:5D4)	448,1007
C₇⋊₄(D₄⋊₅D₄) = C₂⁴.₃₃D₁₄	φ: D₄⋊₅D₄/C₂²≀C₂ → C₂ ⊆ Aut C₇	112		C7:4(D4:5D4)	448,1044
C₇⋊₅(D₄⋊₅D₄) = C₁₄.₄₀2₊¹⁺⁴	φ: D₄⋊₅D₄/C₄⋊D₄ → C₂ ⊆ Aut C₇	112		C7:5(D4:5D4)	448,1063
C₇⋊₆(D₄⋊₅D₄) = D₂₈⋊₂₀D₄	φ: D₄⋊₅D₄/C₄⋊D₄ → C₂ ⊆ Aut C₇	112		C7:6(D4:5D4)	448,1065
C₇⋊₇(D₄⋊₅D₄) = D₂₈⋊₂₁D₄	φ: D₄⋊₅D₄/C₂²⋊Q₈ → C₂ ⊆ Aut C₇	112		C7:7(D4:5D4)	448,1083
C₇⋊₈(D₄⋊₅D₄) = C₁₄.₁₂₁2₊¹⁺⁴	φ: D₄⋊₅D₄/C₂².D₄ → C₂ ⊆ Aut C₇	112		C7:8(D4:5D4)	448,1107
C₇⋊₉(D₄⋊₅D₄) = D₂₈⋊₁₀D₄	φ: D₄⋊₅D₄/C₄.₄D₄ → C₂ ⊆ Aut C₇	112		C7:9(D4:5D4)	448,1129
C₇⋊₁₀(D₄⋊₅D₄) = C₂⁴.₄₂D₁₄	φ: D₄⋊₅D₄/C₂²×D₄ → C₂ ⊆ Aut C₇	112		C7:10(D4:5D4)	448,1259
C₇⋊₁₁(D₄⋊₅D₄) = C₁₄.₁₄₅2₊¹⁺⁴	φ: D₄⋊₅D₄/C₂×C₄○D₄ → C₂ ⊆ Aut C₇	112		C7:11(D4:5D4)	448,1282

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