Extensions 1→N→G→Q→1 with N=C₆ and Q=M₅(2)

Direct product G=N×Q with N=C₆ and Q=M₅(2)

		d	ρ	Label	ID
C₆×M₅(2)		96		C6xM5(2)	192,936

Semidirect products G=N:Q with N=C₆ and Q=M₅(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊₁M₅(2) = C₂×D₆.C₈	φ: M₅(2)/C₁₆ → C₂ ⊆ Aut C₆	96		C6:1M5(2)	192,459
C₆⋊₂M₅(2) = C₂×C₁₂.C₈	φ: M₅(2)/C₂×C₈ → C₂ ⊆ Aut C₆	96		C6:2M5(2)	192,656

Non-split extensions G=N.Q with N=C₆ and Q=M₅(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁M₅(2) = Dic₃⋊C₁₆	φ: M₅(2)/C₁₆ → C₂ ⊆ Aut C₆	192		C6.1M5(2)	192,60
C₆.₂M₅(2) = C₄₈⋊₁₀C₄	φ: M₅(2)/C₁₆ → C₂ ⊆ Aut C₆	192		C6.2M5(2)	192,61
C₆.₃M₅(2) = D₆⋊C₁₆	φ: M₅(2)/C₁₆ → C₂ ⊆ Aut C₆	96		C6.3M5(2)	192,66
C₆.₄M₅(2) = C₂₄.C₈	φ: M₅(2)/C₂×C₈ → C₂ ⊆ Aut C₆	192		C6.4M5(2)	192,20
C₆.₅M₅(2) = C₁₂⋊C₁₆	φ: M₅(2)/C₂×C₈ → C₂ ⊆ Aut C₆	192		C6.5M5(2)	192,21
C₆.₆M₅(2) = C₂₄.₉₈D₄	φ: M₅(2)/C₂×C₈ → C₂ ⊆ Aut C₆	96		C6.6M5(2)	192,108
C₆.₇M₅(2) = C₃×C₁₆⋊₅C₄	central extension (φ=1)	192		C6.7M5(2)	192,152
C₆.₈M₅(2) = C₃×C₂²⋊C₁₆	central extension (φ=1)	96		C6.8M5(2)	192,154
C₆.₉M₅(2) = C₃×C₄⋊C₁₆	central extension (φ=1)	192		C6.9M5(2)	192,169

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