Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂².₃₆C₂⁴

Direct product G=N×Q with N=C₇ and Q=C₂².₃₆C₂⁴

		d	ρ	Label	ID
C₇×C₂².₃₆C₂⁴		224		C7xC2^2.36C2^4	448,1325

Semidirect products G=N:Q with N=C₇ and Q=C₂².₃₆C₂⁴

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂².₃₆C₂⁴) = C₄².₉₉D₁₄	φ: C₂².₃₆C₂⁴/C₄²⋊C₂ → C₂ ⊆ Aut C₇	224		C7:1(C2^2.36C2^4)	448,987
C₇⋊₂(C₂².₃₆C₂⁴) = C₄².₁₁₅D₁₄	φ: C₂².₃₆C₂⁴/C₄×D₄ → C₂ ⊆ Aut C₇	224		C7:2(C2^2.36C2^4)	448,1014
C₇⋊₃(C₂².₃₆C₂⁴) = C₄².₁₃₃D₁₄	φ: C₂².₃₆C₂⁴/C₄×Q₈ → C₂ ⊆ Aut C₇	224		C7:3(C2^2.36C2^4)	448,1035
C₇⋊₄(C₂².₃₆C₂⁴) = C₁₄.₇₁2_-¹⁺⁴	φ: C₂².₃₆C₂⁴/C₄⋊D₄ → C₂ ⊆ Aut C₇	224		C7:4(C2^2.36C2^4)	448,1056
C₇⋊₅(C₂².₃₆C₂⁴) = C₁₄.₂₂2_-¹⁺⁴	φ: C₂².₃₆C₂⁴/C₂²⋊Q₈ → C₂ ⊆ Aut C₇	224		C7:5(C2^2.36C2^4)	448,1093
C₇⋊₆(C₂².₃₆C₂⁴) = C₁₄.₂₄2_-¹⁺⁴	φ: C₂².₃₆C₂⁴/C₂²⋊Q₈ → C₂ ⊆ Aut C₇	224		C7:6(C2^2.36C2^4)	448,1096
C₇⋊₇(C₂².₃₆C₂⁴) = C₁₄.₈₄2_-¹⁺⁴	φ: C₂².₃₆C₂⁴/C₂².D₄ → C₂ ⊆ Aut C₇	224		C7:7(C2^2.36C2^4)	448,1115
C₇⋊₈(C₂².₃₆C₂⁴) = C₄².₁₃₇D₁₄	φ: C₂².₃₆C₂⁴/C₄.₄D₄ → C₂ ⊆ Aut C₇	224		C7:8(C2^2.36C2^4)	448,1122
C₇⋊₉(C₂².₃₆C₂⁴) = C₄².₁₄₄D₁₄	φ: C₂².₃₆C₂⁴/C₄.₄D₄ → C₂ ⊆ Aut C₇	224		C7:9(C2^2.36C2^4)	448,1135
C₇⋊₁₀(C₂².₃₆C₂⁴) = C₄².₁₆₄D₁₄	φ: C₂².₃₆C₂⁴/C₄²⋊₂C₂ → C₂ ⊆ Aut C₇	224		C7:10(C2^2.36C2^4)	448,1163
C₇⋊₁₁(C₂².₃₆C₂⁴) = C₄².₁₇₈D₁₄	φ: C₂².₃₆C₂⁴/C₄⋊Q₈ → C₂ ⊆ Aut C₇	224		C7:11(C2^2.36C2^4)	448,1186

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