Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂³.₆₇C₂³

Direct product G=N×Q with N=C₅ and Q=C₂³.₆₇C₂³

		d	ρ	Label	ID
C₅×C₂³.₆₇C₂³		320		C5xC2^3.67C2^3	320,892

Semidirect products G=N:Q with N=C₅ and Q=C₂³.₆₇C₂³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₂³.₆₇C₂³) = (C₂×F₅)⋊Q₈	φ: C₂³.₆₇C₂³/C₂×Q₈ → C₄ ⊆ Aut C₅	80		C5:(C2^3.67C2^3)	320,1128
C₅⋊₂(C₂³.₆₇C₂³) = (C₂×C₂₀)⋊Q₈	φ: C₂³.₆₇C₂³/C₂.C₄² → C₂ ⊆ Aut C₅	320		C5:2(C2^3.67C2^3)	320,273
C₅⋊₃(C₂³.₆₇C₂³) = (C₂×C₂₀)⋊₁₀Q₈	φ: C₂³.₆₇C₂³/C₂×C₄² → C₂ ⊆ Aut C₅	320		C5:3(C2^3.67C2^3)	320,556
C₅⋊₄(C₂³.₆₇C₂³) = (C₂×Dic₅)⋊₆Q₈	φ: C₂³.₆₇C₂³/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₅	320		C5:4(C2^3.67C2^3)	320,601
C₅⋊₅(C₂³.₆₇C₂³) = (Q₈×C₁₀)⋊₁₇C₄	φ: C₂³.₆₇C₂³/C₂²×Q₈ → C₂ ⊆ Aut C₅	320		C5:5(C2^3.67C2^3)	320,857

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁