Extensions 1→N→G→Q→1 with N=C₄₅ and Q=C₈

Direct product G=N×Q with N=C₄₅ and Q=C₈

		d	ρ	Label	ID
C₃₆₀		360	1	C360	360,4

Semidirect products G=N:Q with N=C₄₅ and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₅⋊₁C₈ = C₄₅⋊C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₄₅	360	4	C45:1C8	360,6
C₄₅⋊₂C₈ = C₉×C₅⋊C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₄₅	360	4	C45:2C8	360,5
C₄₅⋊₃C₈ = C₄₅⋊₃C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₄₅	360	2	C45:3C8	360,3
C₄₅⋊₄C₈ = C₅×C₉⋊C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₄₅	360	2	C45:4C8	360,1
C₄₅⋊₅C₈ = C₉×C₅⋊₂C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₄₅	360	2	C45:5C8	360,2

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁