Extensions 1→N→G→Q→1 with N=C₄₅ and Q=C₆

Direct product G=N×Q with N=C₄₅ and Q=C₆

		d	ρ	Label	ID
C₃×C₉₀		270		C3xC90	270,20

Semidirect products G=N:Q with N=C₄₅ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₅⋊₁C₆ = D₄₅⋊C₃	φ: C₆/C₁ → C₆ ⊆ Aut C₄₅	45	6+	C45:1C6	270,15
C₄₅⋊₂C₆ = C₅×C₉⋊C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₄₅	45	6	C45:2C6	270,11
C₄₅⋊₃C₆ = D₅×3_-¹⁺²	φ: C₆/C₁ → C₆ ⊆ Aut C₄₅	45	6	C45:3C6	270,7
C₄₅⋊₄C₆ = C₁₀×3_-¹⁺²	φ: C₆/C₂ → C₃ ⊆ Aut C₄₅	90	3	C45:4C6	270,22
C₄₅⋊₅C₆ = C₃×D₄₅	φ: C₆/C₃ → C₂ ⊆ Aut C₄₅	90	2	C45:5C6	270,12
C₄₅⋊₆C₆ = C₁₅×D₉	φ: C₆/C₃ → C₂ ⊆ Aut C₄₅	90	2	C45:6C6	270,8
C₄₅⋊₇C₆ = D₅×C₃×C₉	φ: C₆/C₃ → C₂ ⊆ Aut C₄₅	135		C45:7C6	270,5

Non-split extensions G=N.Q with N=C₄₅ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₅.C₆ = D₅×C₂₇	φ: C₆/C₃ → C₂ ⊆ Aut C₄₅	135	2	C45.C6	270,2

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