Extensions 1→N→G→Q→1 with N=C₃×Dic₅ and Q=C₂²

Direct product G=N×Q with N=C₃×Dic₅ and Q=C₂²

		d	ρ	Label	ID
C₂×C₆×Dic₅		240		C2xC6xDic5	240,163

Semidirect products G=N:Q with N=C₃×Dic₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₅)⋊₁C₂² = S₃×C₅⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₃×Dic₅	60	4	(C3xDic5):1C2^2	240,150
(C₃×Dic₅)⋊₂C₂² = D₁₀⋊D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃×Dic₅	60	4+	(C3xDic5):2C2^2	240,151
(C₃×Dic₅)⋊₃C₂² = C₄×S₃×D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₅	60	4	(C3xDic5):3C2^2	240,135
(C₃×Dic₅)⋊₄C₂² = D₅×D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₅	60	4+	(C3xDic5):4C2^2	240,136
(C₃×Dic₅)⋊₅C₂² = C₂×S₃×Dic₅	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₅	120		(C3xDic5):5C2^2	240,142
(C₃×Dic₅)⋊₆C₂² = C₂×D₃₀.C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₅	120		(C3xDic5):6C2^2	240,144
(C₃×Dic₅)⋊₇C₂² = C₂×C₅⋊D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₅	120		(C3xDic5):7C2^2	240,147
(C₃×Dic₅)⋊₈C₂² = C₃×D₄×D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₅	60	4	(C3xDic5):8C2^2	240,159
(C₃×Dic₅)⋊₉C₂² = C₆×C₅⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₅	120		(C3xDic5):9C2^2	240,164
(C₃×Dic₅)⋊₁₀C₂² = D₅×C₂×C₁₂	φ: trivial image	120		(C3xDic5):10C2^2	240,156

Non-split extensions G=N.Q with N=C₃×Dic₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₅).₁C₂² = S₃×Dic₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₃×Dic₅	120	4-	(C3xDic5).1C2^2	240,128
(C₃×Dic₅).₂C₂² = D₁₂⋊D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₃×Dic₅	120	4	(C3xDic5).2C2^2	240,129
(C₃×Dic₅).₃C₂² = D₆₀⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₃×Dic₅	120	4+	(C3xDic5).3C2^2	240,130
(C₃×Dic₅).₄C₂² = D₁₅⋊Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₃×Dic₅	120	4	(C3xDic5).4C2^2	240,131
(C₃×Dic₅).₅C₂² = Dic₅.D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃×Dic₅	120	4	(C3xDic5).5C2^2	240,140
(C₃×Dic₅).₆C₂² = C₃₀.C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₃×Dic₅	120	4-	(C3xDic5).6C2^2	240,141
(C₃×Dic₅).₇C₂² = S₃×C₅⋊C₈	φ: C₂²/C₁ → C₂² ⊆ Out C₃×Dic₅	120	8-	(C3xDic5).7C2^2	240,98
(C₃×Dic₅).₈C₂² = D₁₅⋊C₈	φ: C₂²/C₁ → C₂² ⊆ Out C₃×Dic₅	120	8+	(C3xDic5).8C2^2	240,99
(C₃×Dic₅).₉C₂² = D₆.F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₃×Dic₅	120	8-	(C3xDic5).9C2^2	240,100
(C₃×Dic₅).₁₀C₂² = Dic₃.F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₃×Dic₅	120	8+	(C3xDic5).10C2^2	240,101
(C₃×Dic₅).₁₁C₂² = D₅×Dic₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₅	120	4-	(C3xDic5).11C2^2	240,125
(C₃×Dic₅).₁₂C₂² = D₆.D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₅	120	4	(C3xDic5).12C2^2	240,132
(C₃×Dic₅).₁₃C₂² = D₁₂⋊₅D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₅	120	4-	(C3xDic5).13C2^2	240,133
(C₃×Dic₅).₁₄C₂² = C₁₂.₂₈D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₅	120	4+	(C3xDic5).14C2^2	240,134
(C₃×Dic₅).₁₅C₂² = Dic₃.D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₅	120	4	(C3xDic5).15C2^2	240,143
(C₃×Dic₅).₁₆C₂² = C₂×C₁₅⋊Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₅	240		(C3xDic5).16C2^2	240,148
(C₃×Dic₅).₁₇C₂² = C₆×Dic₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₅	240		(C3xDic5).17C2^2	240,155
(C₃×Dic₅).₁₈C₂² = C₃×C₄○D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₅	120	2	(C3xDic5).18C2^2	240,158
(C₃×Dic₅).₁₉C₂² = C₃×D₄⋊₂D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₅	120	4	(C3xDic5).19C2^2	240,160
(C₃×Dic₅).₂₀C₂² = C₃×Q₈×D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₅	120	4	(C3xDic5).20C2^2	240,161
(C₃×Dic₅).₂₁C₂² = C₆₀.C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₅	120	4	(C3xDic5).21C2^2	240,118
(C₃×Dic₅).₂₂C₂² = C₁₂.F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₅	120	4	(C3xDic5).22C2^2	240,119
(C₃×Dic₅).₂₃C₂² = C₂×C₁₅⋊C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₅	240		(C3xDic5).23C2^2	240,122
(C₃×Dic₅).₂₄C₂² = C₁₅⋊₈M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₅	120	4	(C3xDic5).24C2^2	240,123
(C₃×Dic₅).₂₅C₂² = C₃×D₅⋊C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₅	120	4	(C3xDic5).25C2^2	240,111
(C₃×Dic₅).₂₆C₂² = C₃×C₄.F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₅	120	4	(C3xDic5).26C2^2	240,112
(C₃×Dic₅).₂₇C₂² = C₆×C₅⋊C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₅	240		(C3xDic5).27C2^2	240,115
(C₃×Dic₅).₂₈C₂² = C₃×C₂².F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₅	120	4	(C3xDic5).28C2^2	240,116
(C₃×Dic₅).₂₉C₂² = C₃×Q₈⋊₂D₅	φ: trivial image	120	4	(C3xDic5).29C2^2	240,162

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Extensions 1→N→G→Q→1 with N=C3×Dic5 and Q=C22

Extensions 1→N→G→Q→1 with N=C₃×Dic₅ and Q=C₂²