Extensions 1→N→G→Q→1 with N=C₅×C₃⋊S₃ and Q=C₂²

Direct product G=N×Q with N=C₅×C₃⋊S₃ and Q=C₂²

		d	ρ	Label	ID
C₃⋊S₃×C₂×C₁₀		180		C3:S3xC2xC10	360,160

Semidirect products G=N:Q with N=C₅×C₃⋊S₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×C₃⋊S₃)⋊C₂² = S₃²×D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊S₃	30	8+	(C5xC3:S3):C2^2	360,137
(C₅×C₃⋊S₃)⋊₂C₂² = C₂×D₅×C₃⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₅×C₃⋊S₃	90		(C5xC3:S3):2C2^2	360,152
(C₅×C₃⋊S₃)⋊₃C₂² = C₂×D₁₅⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₅×C₃⋊S₃	60	4	(C5xC3:S3):3C2^2	360,155
(C₅×C₃⋊S₃)⋊₄C₂² = S₃²×C₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×C₃⋊S₃	60	4	(C5xC3:S3):4C2^2	360,153

Non-split extensions G=N.Q with N=C₅×C₃⋊S₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×C₃⋊S₃).₁C₂² = D₅×C₃²⋊C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊S₃	30	8+	(C5xC3:S3).1C2^2	360,130
(C₅×C₃⋊S₃).₂C₂² = S₃²⋊D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊S₃	30	4	(C5xC3:S3).2C2^2	360,133
(C₅×C₃⋊S₃).₃C₂² = C₃²⋊D₂₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊S₃	30	8+	(C5xC3:S3).3C2^2	360,134
(C₅×C₃⋊S₃).₄C₂² = C₅×S₃≀C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊S₃	30	4	(C5xC3:S3).4C2^2	360,132
(C₅×C₃⋊S₃).₅C₂² = C₅×PSU₃(𝔽₂)	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊S₃	45	8	(C5xC3:S3).5C2^2	360,135
(C₅×C₃⋊S₃).₆C₂² = C₃²⋊Dic₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₃⋊S₃	45	8	(C5xC3:S3).6C2^2	360,136
(C₅×C₃⋊S₃).₇C₂² = C₁₀×C₃²⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₅×C₃⋊S₃	60	4	(C5xC3:S3).7C2^2	360,148
(C₅×C₃⋊S₃).₈C₂² = C₂×C₃²⋊Dic₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅×C₃⋊S₃	60	4	(C5xC3:S3).8C2^2	360,149

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