Extensions 1→N→G→Q→1 with N=C₇₅ and Q=C₆

Direct product G=N×Q with N=C₇₅ and Q=C₆

		d	ρ	Label	ID
C₃×C₁₅₀		450		C3xC150	450,10

Semidirect products G=N:Q with N=C₇₅ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇₅⋊₁C₆ = C₃×D₇₅	φ: C₆/C₃ → C₂ ⊆ Aut C₇₅	150	2	C75:1C6	450,7
C₇₅⋊₂C₆ = C₃²×D₂₅	φ: C₆/C₃ → C₂ ⊆ Aut C₇₅	225		C75:2C6	450,5
C₇₅⋊₃C₆ = S₃×C₇₅	φ: C₆/C₃ → C₂ ⊆ Aut C₇₅	150	2	C75:3C6	450,6

Non-split extensions G=N.Q with N=C₇₅ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇₅.C₆ = C₉×D₂₅	φ: C₆/C₃ → C₂ ⊆ Aut C₇₅	225	2	C75.C6	450,2

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Extensions 1→N→G→Q→1 with N=C75 and Q=C6