Extensions 1→N→G→Q→1 with N=S₃×C₁₀ and Q=C₂²

Direct product G=N×Q with N=S₃×C₁₀ and Q=C₂²

		d	ρ	Label	ID
S₃×C₂²×C₁₀		120		S3xC2^2xC10	240,206

Semidirect products G=N:Q with N=S₃×C₁₀ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₁₀)⋊₁C₂² = D₅×D₁₂	φ: C₂²/C₁ → C₂² ⊆ Out S₃×C₁₀	60	4+	(S3xC10):1C2^2	240,136
(S₃×C₁₀)⋊₂C₂² = C₂₀⋊D₆	φ: C₂²/C₁ → C₂² ⊆ Out S₃×C₁₀	60	4	(S3xC10):2C2^2	240,138
(S₃×C₁₀)⋊₃C₂² = D₅×C₃⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out S₃×C₁₀	60	4	(S3xC10):3C2^2	240,149
(S₃×C₁₀)⋊₄C₂² = D₁₀⋊D₆	φ: C₂²/C₁ → C₂² ⊆ Out S₃×C₁₀	60	4+	(S3xC10):4C2^2	240,151
(S₃×C₁₀)⋊₅C₂² = C₂×C₁₅⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out S₃×C₁₀	120		(S3xC10):5C2^2	240,145
(S₃×C₁₀)⋊₆C₂² = C₂×C₅⋊D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out S₃×C₁₀	120		(S3xC10):6C2^2	240,147
(S₃×C₁₀)⋊₇C₂² = S₃×C₅⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out S₃×C₁₀	60	4	(S3xC10):7C2^2	240,150
(S₃×C₁₀)⋊₈C₂² = C₂²×S₃×D₅	φ: C₂²/C₂ → C₂ ⊆ Out S₃×C₁₀	60		(S3xC10):8C2^2	240,202
(S₃×C₁₀)⋊₉C₂² = C₁₀×D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out S₃×C₁₀	120		(S3xC10):9C2^2	240,167
(S₃×C₁₀)⋊₁₀C₂² = C₅×S₃×D₄	φ: C₂²/C₂ → C₂ ⊆ Out S₃×C₁₀	60	4	(S3xC10):10C2^2	240,169
(S₃×C₁₀)⋊₁₁C₂² = C₁₀×C₃⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out S₃×C₁₀	120		(S3xC10):11C2^2	240,174

Non-split extensions G=N.Q with N=S₃×C₁₀ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₁₀).₁C₂² = D₁₂⋊D₅	φ: C₂²/C₁ → C₂² ⊆ Out S₃×C₁₀	120	4	(S3xC10).1C2^2	240,129
(S₃×C₁₀).₂C₂² = D₁₂⋊₅D₅	φ: C₂²/C₁ → C₂² ⊆ Out S₃×C₁₀	120	4-	(S3xC10).2C2^2	240,133
(S₃×C₁₀).₃C₂² = C₃₀.C₂³	φ: C₂²/C₁ → C₂² ⊆ Out S₃×C₁₀	120	4-	(S3xC10).3C2^2	240,141
(S₃×C₁₀).₄C₂² = Dic₃.D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out S₃×C₁₀	120	4	(S3xC10).4C2^2	240,143
(S₃×C₁₀).₅C₂² = D₂₀⋊₅S₃	φ: C₂²/C₂ → C₂ ⊆ Out S₃×C₁₀	120	4-	(S3xC10).5C2^2	240,126
(S₃×C₁₀).₆C₂² = S₃×Dic₁₀	φ: C₂²/C₂ → C₂ ⊆ Out S₃×C₁₀	120	4-	(S3xC10).6C2^2	240,128
(S₃×C₁₀).₇C₂² = D₆₀⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out S₃×C₁₀	120	4+	(S3xC10).7C2^2	240,130
(S₃×C₁₀).₈C₂² = D₆.D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out S₃×C₁₀	120	4	(S3xC10).8C2^2	240,132
(S₃×C₁₀).₉C₂² = C₄×S₃×D₅	φ: C₂²/C₂ → C₂ ⊆ Out S₃×C₁₀	60	4	(S3xC10).9C2^2	240,135
(S₃×C₁₀).₁₀C₂² = S₃×D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out S₃×C₁₀	60	4+	(S3xC10).10C2^2	240,137
(S₃×C₁₀).₁₁C₂² = C₂×S₃×Dic₅	φ: C₂²/C₂ → C₂ ⊆ Out S₃×C₁₀	120		(S3xC10).11C2^2	240,142
(S₃×C₁₀).₁₂C₂² = C₅×C₄○D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out S₃×C₁₀	120	2	(S3xC10).12C2^2	240,168
(S₃×C₁₀).₁₃C₂² = C₅×D₄⋊₂S₃	φ: C₂²/C₂ → C₂ ⊆ Out S₃×C₁₀	120	4	(S3xC10).13C2^2	240,170
(S₃×C₁₀).₁₄C₂² = C₅×Q₈⋊₃S₃	φ: C₂²/C₂ → C₂ ⊆ Out S₃×C₁₀	120	4	(S3xC10).14C2^2	240,172
(S₃×C₁₀).₁₅C₂² = S₃×C₂×C₂₀	φ: trivial image	120		(S3xC10).15C2^2	240,166
(S₃×C₁₀).₁₆C₂² = C₅×S₃×Q₈	φ: trivial image	120	4	(S3xC10).16C2^2	240,171

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