Extensions 1→N→G→Q→1 with N=C₃xDic₅ and Q=C₂²

Direct product G=NxQ with N=C₃xDic₅ and Q=C₂²

		d	ρ	Label	ID
C₂xC₆xDic₅		240		C2xC6xDic5	240,163

Semidirect products G=N:Q with N=C₃xDic₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xDic₅):₁C₂² = S₃xC₅:D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₃xDic₅	60	4	(C3xDic5):1C2^2	240,150
(C₃xDic₅):₂C₂² = D₁₀:D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xDic₅	60	4+	(C3xDic5):2C2^2	240,151
(C₃xDic₅):₃C₂² = C₄xS₃xD₅	φ: C₂²/C₂ → C₂ ⊆ Out C₃xDic₅	60	4	(C3xDic5):3C2^2	240,135
(C₃xDic₅):₄C₂² = D₅xD₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₃xDic₅	60	4+	(C3xDic5):4C2^2	240,136
(C₃xDic₅):₅C₂² = C₂xS₃xDic₅	φ: C₂²/C₂ → C₂ ⊆ Out C₃xDic₅	120		(C3xDic5):5C2^2	240,142
(C₃xDic₅):₆C₂² = C₂xD₃₀.C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₃xDic₅	120		(C3xDic5):6C2^2	240,144
(C₃xDic₅):₇C₂² = C₂xC₅:D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₃xDic₅	120		(C3xDic5):7C2^2	240,147
(C₃xDic₅):₈C₂² = C₃xD₄xD₅	φ: C₂²/C₂ → C₂ ⊆ Out C₃xDic₅	60	4	(C3xDic5):8C2^2	240,159
(C₃xDic₅):₉C₂² = C₆xC₅:D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃xDic₅	120		(C3xDic5):9C2^2	240,164
(C₃xDic₅):₁₀C₂² = D₅xC₂xC₁₂	φ: trivial image	120		(C3xDic5):10C2^2	240,156

Non-split extensions G=N.Q with N=C₃xDic₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xDic₅).₁C₂² = S₃xDic₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₃xDic₅	120	4-	(C3xDic5).1C2^2	240,128
(C₃xDic₅).₂C₂² = D₁₂:D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₃xDic₅	120	4	(C3xDic5).2C2^2	240,129
(C₃xDic₅).₃C₂² = D₆₀:C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₃xDic₅	120	4+	(C3xDic5).3C2^2	240,130
(C₃xDic₅).₄C₂² = D₁₅:Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₃xDic₅	120	4	(C3xDic5).4C2^2	240,131
(C₃xDic₅).₅C₂² = Dic₅.D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xDic₅	120	4	(C3xDic5).5C2^2	240,140
(C₃xDic₅).₆C₂² = C₃₀.C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₃xDic₅	120	4-	(C3xDic5).6C2^2	240,141
(C₃xDic₅).₇C₂² = S₃xC₅:C₈	φ: C₂²/C₁ → C₂² ⊆ Out C₃xDic₅	120	8-	(C3xDic5).7C2^2	240,98
(C₃xDic₅).₈C₂² = D₁₅:C₈	φ: C₂²/C₁ → C₂² ⊆ Out C₃xDic₅	120	8+	(C3xDic5).8C2^2	240,99
(C₃xDic₅).₉C₂² = D₆.F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₃xDic₅	120	8-	(C3xDic5).9C2^2	240,100
(C₃xDic₅).₁₀C₂² = Dic₃.F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₃xDic₅	120	8+	(C3xDic5).10C2^2	240,101
(C₃xDic₅).₁₁C₂² = D₅xDic₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃xDic₅	120	4-	(C3xDic5).11C2^2	240,125
(C₃xDic₅).₁₂C₂² = D₆.D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₃xDic₅	120	4	(C3xDic5).12C2^2	240,132
(C₃xDic₅).₁₃C₂² = D₁₂:₅D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₃xDic₅	120	4-	(C3xDic5).13C2^2	240,133
(C₃xDic₅).₁₄C₂² = C₁₂.₂₈D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₃xDic₅	120	4+	(C3xDic5).14C2^2	240,134
(C₃xDic₅).₁₅C₂² = Dic₃.D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₃xDic₅	120	4	(C3xDic5).15C2^2	240,143
(C₃xDic₅).₁₆C₂² = C₂xC₁₅:Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₃xDic₅	240		(C3xDic5).16C2^2	240,148
(C₃xDic₅).₁₇C₂² = C₆xDic₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₃xDic₅	240		(C3xDic5).17C2^2	240,155
(C₃xDic₅).₁₈C₂² = C₃xC₄oD₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₃xDic₅	120	2	(C3xDic5).18C2^2	240,158
(C₃xDic₅).₁₉C₂² = C₃xD₄:₂D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₃xDic₅	120	4	(C3xDic5).19C2^2	240,160
(C₃xDic₅).₂₀C₂² = C₃xQ₈xD₅	φ: C₂²/C₂ → C₂ ⊆ Out C₃xDic₅	120	4	(C3xDic5).20C2^2	240,161
(C₃xDic₅).₂₁C₂² = C₆₀.C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃xDic₅	120	4	(C3xDic5).21C2^2	240,118
(C₃xDic₅).₂₂C₂² = C₁₂.F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₃xDic₅	120	4	(C3xDic5).22C2^2	240,119
(C₃xDic₅).₂₃C₂² = C₂xC₁₅:C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₃xDic₅	240		(C3xDic5).23C2^2	240,122
(C₃xDic₅).₂₄C₂² = C₁₅:₈M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₃xDic₅	120	4	(C3xDic5).24C2^2	240,123
(C₃xDic₅).₂₅C₂² = C₃xD₅:C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₃xDic₅	120	4	(C3xDic5).25C2^2	240,111
(C₃xDic₅).₂₆C₂² = C₃xC₄.F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₃xDic₅	120	4	(C3xDic5).26C2^2	240,112
(C₃xDic₅).₂₇C₂² = C₆xC₅:C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₃xDic₅	240		(C3xDic5).27C2^2	240,115
(C₃xDic₅).₂₈C₂² = C₃xC₂².F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₃xDic₅	120	4	(C3xDic5).28C2^2	240,116
(C₃xDic₅).₂₉C₂² = C₃xQ₈:₂D₅	φ: trivial image	120	4	(C3xDic5).29C2^2	240,162

Extensions 1→N→G→Q→1 with N=C3xDic5 and Q=C22

Extensions 1→N→G→Q→1 with N=C₃xDic₅ and Q=C₂²