Extensions 1→N→G→Q→1 with N=C₃²×D₅ and Q=C₂²

Direct product G=N×Q with N=C₃²×D₅ and Q=C₂²

		d	ρ	Label	ID
D₅×C₆²		180		D5xC6^2	360,157

Semidirect products G=N:Q with N=C₃²×D₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²×D₅)⋊C₂² = S₃²×D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₃²×D₅	30	8+	(C3^2xD5):C2^2	360,137
(C₃²×D₅)⋊₂C₂² = S₃×C₆×D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₃²×D₅	60	4	(C3^2xD5):2C2^2	360,151
(C₃²×D₅)⋊₃C₂² = C₂×D₅×C₃⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃²×D₅	90		(C3^2xD5):3C2^2	360,152

Non-split extensions G=N.Q with N=C₃²×D₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²×D₅).₁C₂² = C₃×S₃×F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₃²×D₅	30	8	(C3^2xD5).1C2^2	360,126
(C₃²×D₅).₂C₂² = C₃⋊S₃×F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₃²×D₅	45		(C3^2xD5).2C2^2	360,127
(C₃²×D₅).₃C₂² = S₃×C₃⋊F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₃²×D₅	30	8	(C3^2xD5).3C2^2	360,128
(C₃²×D₅).₄C₂² = C₃⋊F₅⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₃²×D₅	30	8+	(C3^2xD5).4C2^2	360,129
(C₃²×D₅).₅C₂² = C₂×C₃²⋊₃F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₃²×D₅	90		(C3^2xD5).5C2^2	360,147
(C₃²×D₅).₆C₂² = C₆×C₃⋊F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₃²×D₅	60	4	(C3^2xD5).6C2^2	360,146
(C₃²×D₅).₇C₂² = C₃×C₆×F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₃²×D₅	90		(C3^2xD5).7C2^2	360,145

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