Extensions 1→N→G→Q→1 with N=C₅×Dic₃ and Q=C₂²

Direct product G=N×Q with N=C₅×Dic₃ and Q=C₂²

		d	ρ	Label	ID
Dic₃×C₂×C₁₀		240		Dic3xC2xC10	240,173

Semidirect products G=N:Q with N=C₅×Dic₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Dic₃)⋊₁C₂² = D₅×C₃⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₅×Dic₃	60	4	(C5xDic3):1C2^2	240,149
(C₅×Dic₃)⋊₂C₂² = D₁₀⋊D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₅×Dic₃	60	4+	(C5xDic3):2C2^2	240,151
(C₅×Dic₃)⋊₃C₂² = C₄×S₃×D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Dic₃	60	4	(C5xDic3):3C2^2	240,135
(C₅×Dic₃)⋊₄C₂² = S₃×D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Dic₃	60	4+	(C5xDic3):4C2^2	240,137
(C₅×Dic₃)⋊₅C₂² = C₂×D₅×Dic₃	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Dic₃	120		(C5xDic3):5C2^2	240,139
(C₅×Dic₃)⋊₆C₂² = C₂×D₃₀.C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Dic₃	120		(C5xDic3):6C2^2	240,144
(C₅×Dic₃)⋊₇C₂² = C₂×C₃⋊D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Dic₃	120		(C5xDic3):7C2^2	240,146
(C₅×Dic₃)⋊₈C₂² = C₅×S₃×D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Dic₃	60	4	(C5xDic3):8C2^2	240,169
(C₅×Dic₃)⋊₉C₂² = C₁₀×C₃⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Dic₃	120		(C5xDic3):9C2^2	240,174
(C₅×Dic₃)⋊₁₀C₂² = S₃×C₂×C₂₀	φ: trivial image	120		(C5xDic3):10C2^2	240,166

Non-split extensions G=N.Q with N=C₅×Dic₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Dic₃).₁C₂² = D₅×Dic₆	φ: C₂²/C₁ → C₂² ⊆ Out C₅×Dic₃	120	4-	(C5xDic3).1C2^2	240,125
(C₅×Dic₃).₂C₂² = D₂₀⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₅×Dic₃	120	4	(C5xDic3).2C2^2	240,127
(C₅×Dic₃).₃C₂² = D₁₅⋊Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₅×Dic₃	120	4	(C5xDic3).3C2^2	240,131
(C₅×Dic₃).₄C₂² = C₁₂.₂₈D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×Dic₃	120	4+	(C5xDic3).4C2^2	240,134
(C₅×Dic₃).₅C₂² = C₃₀.C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₅×Dic₃	120	4-	(C5xDic3).5C2^2	240,141
(C₅×Dic₃).₆C₂² = Dic₃.D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×Dic₃	120	4	(C5xDic3).6C2^2	240,143
(C₅×Dic₃).₇C₂² = D₂₀⋊₅S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Dic₃	120	4-	(C5xDic3).7C2^2	240,126
(C₅×Dic₃).₈C₂² = S₃×Dic₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Dic₃	120	4-	(C5xDic3).8C2^2	240,128
(C₅×Dic₃).₉C₂² = D₆₀⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Dic₃	120	4+	(C5xDic3).9C2^2	240,130
(C₅×Dic₃).₁₀C₂² = D₆.D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Dic₃	120	4	(C5xDic3).10C2^2	240,132
(C₅×Dic₃).₁₁C₂² = Dic₅.D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Dic₃	120	4	(C5xDic3).11C2^2	240,140
(C₅×Dic₃).₁₂C₂² = C₂×C₁₅⋊Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Dic₃	240		(C5xDic3).12C2^2	240,148
(C₅×Dic₃).₁₃C₂² = C₁₀×Dic₆	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Dic₃	240		(C5xDic3).13C2^2	240,165
(C₅×Dic₃).₁₄C₂² = C₅×C₄○D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Dic₃	120	2	(C5xDic3).14C2^2	240,168
(C₅×Dic₃).₁₅C₂² = C₅×S₃×Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Dic₃	120	4	(C5xDic3).15C2^2	240,171
(C₅×Dic₃).₁₆C₂² = C₅×D₄⋊₂S₃	φ: trivial image	120	4	(C5xDic3).16C2^2	240,170
(C₅×Dic₃).₁₇C₂² = C₅×Q₈⋊₃S₃	φ: trivial image	120	4	(C5xDic3).17C2^2	240,172

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