Extensions 1→N→G→Q→1 with N=C₃² and Q=M₅(2)

Direct product G=N×Q with N=C₃² and Q=M₅(2)

		d	ρ	Label	ID
C₃²×M₅(2)		144		C3^2xM5(2)	288,328

Semidirect products G=N:Q with N=C₃² and Q=M₅(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊₁M₅(2) = C₄.F₉	φ: M₅(2)/C₄ → C₈ ⊆ Aut C₃²	48	8	C3^2:1M5(2)	288,862
C₃²⋊₂M₅(2) = C₂².F₉	φ: M₅(2)/C₂² → C₈ ⊆ Aut C₃²	48	8-	C3^2:2M5(2)	288,866
C₃²⋊₃M₅(2) = C₃²⋊₃M₅(2)	φ: M₅(2)/C₈ → C₄ ⊆ Aut C₃²	48	4	C3^2:3M5(2)	288,413
C₃²⋊₄M₅(2) = C₂₄.₆₁D₆	φ: M₅(2)/C₈ → C₂² ⊆ Aut C₃²	96	4	C3^2:4M5(2)	288,191
C₃²⋊₅M₅(2) = C₂₄.₆₂D₆	φ: M₅(2)/C₈ → C₂² ⊆ Aut C₃²	48	4	C3^2:5M5(2)	288,192
C₃²⋊₆M₅(2) = C₆².₄C₈	φ: M₅(2)/C₂×C₄ → C₄ ⊆ Aut C₃²	48	4	C3^2:6M5(2)	288,421
C₃²⋊₇M₅(2) = C₃×D₆.C₈	φ: M₅(2)/C₁₆ → C₂ ⊆ Aut C₃²	96	2	C3^2:7M5(2)	288,232
C₃²⋊₈M₅(2) = C₄₈⋊S₃	φ: M₅(2)/C₁₆ → C₂ ⊆ Aut C₃²	144		C3^2:8M5(2)	288,273
C₃²⋊₉M₅(2) = C₃×C₁₂.C₈	φ: M₅(2)/C₂×C₈ → C₂ ⊆ Aut C₃²	48	2	C3^2:9M5(2)	288,246
C₃²⋊₁₀M₅(2) = C₂₄.₉₄D₆	φ: M₅(2)/C₂×C₈ → C₂ ⊆ Aut C₃²	144		C3^2:10M5(2)	288,287

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