Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂³.₃₆C₂³

Direct product G=N×Q with N=C₇ and Q=C₂³.₃₆C₂³

		d	ρ	Label	ID
C₇×C₂³.₃₆C₂³		224		C7xC2^3.36C2^3	448,1312

Semidirect products G=N:Q with N=C₇ and Q=C₂³.₃₆C₂³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂³.₃₆C₂³) = C₄².₂₇₇D₁₄	φ: C₂³.₃₆C₂³/C₂×C₄² → C₂ ⊆ Aut C₇	224		C7:1(C2^3.36C2^3)	448,932
C₇⋊₂(C₂³.₃₆C₂³) = C₄².₉₃D₁₄	φ: C₂³.₃₆C₂³/C₄²⋊C₂ → C₂ ⊆ Aut C₇	224		C7:2(C2^3.36C2^3)	448,981
C₇⋊₃(C₂³.₃₆C₂³) = C₄².₁₀₂D₁₄	φ: C₂³.₃₆C₂³/C₄×D₄ → C₂ ⊆ Aut C₇	224		C7:3(C2^3.36C2^3)	448,991
C₇⋊₄(C₂³.₃₆C₂³) = C₄².₂₂₉D₁₄	φ: C₂³.₃₆C₂³/C₄×D₄ → C₂ ⊆ Aut C₇	224		C7:4(C2^3.36C2^3)	448,1010
C₇⋊₅(C₂³.₃₆C₂³) = C₄².₁₃₁D₁₄	φ: C₂³.₃₆C₂³/C₄×Q₈ → C₂ ⊆ Aut C₇	224		C7:5(C2^3.36C2^3)	448,1033
C₇⋊₆(C₂³.₃₆C₂³) = C₄⋊C₄.₁₇₈D₁₄	φ: C₂³.₃₆C₂³/C₄⋊D₄ → C₂ ⊆ Aut C₇	224		C7:6(C2^3.36C2^3)	448,1053
C₇⋊₇(C₂³.₃₆C₂³) = C₂²⋊Q₈⋊₂₅D₇	φ: C₂³.₃₆C₂³/C₂²⋊Q₈ → C₂ ⊆ Aut C₇	224		C7:7(C2^3.36C2^3)	448,1077
C₇⋊₈(C₂³.₃₆C₂³) = C₄⋊C₄.₁₉₇D₁₄	φ: C₂³.₃₆C₂³/C₂².D₄ → C₂ ⊆ Aut C₇	224		C7:8(C2^3.36C2^3)	448,1102
C₇⋊₉(C₂³.₃₆C₂³) = C₄².₂₃₄D₁₄	φ: C₂³.₃₆C₂³/C₄.₄D₄ → C₂ ⊆ Aut C₇	224		C7:9(C2^3.36C2^3)	448,1133
C₇⋊₁₀(C₂³.₃₆C₂³) = C₄².₂₃₇D₁₄	φ: C₂³.₃₆C₂³/C₄².C₂ → C₂ ⊆ Aut C₇	224		C7:10(C2^3.36C2^3)	448,1144
C₇⋊₁₁(C₂³.₃₆C₂³) = C₄².₁₈₉D₁₄	φ: C₂³.₃₆C₂³/C₄²⋊₂C₂ → C₂ ⊆ Aut C₇	224		C7:11(C2^3.36C2^3)	448,1159

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