Extensions 1→N→G→Q→1 with N=C₆xD₅ and Q=C₂²

Direct product G=NxQ with N=C₆xD₅ and Q=C₂²

		d	ρ	Label	ID
D₅xC₂²xC₆		120		D5xC2^2xC6	240,205

Semidirect products G=N:Q with N=C₆xD₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆xD₅):₁C₂² = S₃xD₂₀	φ: C₂²/C₁ → C₂² ⊆ Out C₆xD₅	60	4+	(C6xD5):1C2^2	240,137
(C₆xD₅):₂C₂² = C₂₀:D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₆xD₅	60	4	(C6xD5):2C2^2	240,138
(C₆xD₅):₃C₂² = S₃xC₅:D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₆xD₅	60	4	(C6xD5):3C2^2	240,150
(C₆xD₅):₄C₂² = D₁₀:D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₆xD₅	60	4+	(C6xD5):4C2^2	240,151
(C₆xD₅):₅C₂² = C₂xC₁₅:D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₆xD₅	120		(C6xD5):5C2^2	240,145
(C₆xD₅):₆C₂² = C₂xC₃:D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₆xD₅	120		(C6xD5):6C2^2	240,146
(C₆xD₅):₇C₂² = D₅xC₃:D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₆xD₅	60	4	(C6xD5):7C2^2	240,149
(C₆xD₅):₈C₂² = C₂²xS₃xD₅	φ: C₂²/C₂ → C₂ ⊆ Out C₆xD₅	60		(C6xD5):8C2^2	240,202
(C₆xD₅):₉C₂² = C₆xD₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₆xD₅	120		(C6xD5):9C2^2	240,157
(C₆xD₅):₁₀C₂² = C₃xD₄xD₅	φ: C₂²/C₂ → C₂ ⊆ Out C₆xD₅	60	4	(C6xD5):10C2^2	240,159
(C₆xD₅):₁₁C₂² = C₆xC₅:D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₆xD₅	120		(C6xD5):11C2^2	240,164

Non-split extensions G=N.Q with N=C₆xD₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆xD₅).₁C₂² = D₂₀:₅S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₆xD₅	120	4-	(C6xD5).1C2^2	240,126
(C₆xD₅).₂C₂² = D₂₀:S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₆xD₅	120	4	(C6xD5).2C2^2	240,127
(C₆xD₅).₃C₂² = Dic₅.D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₆xD₅	120	4	(C6xD5).3C2^2	240,140
(C₆xD₅).₄C₂² = C₃₀.C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₆xD₅	120	4-	(C6xD5).4C2^2	240,141
(C₆xD₅).₅C₂² = Dic₃xF₅	φ: C₂²/C₁ → C₂² ⊆ Out C₆xD₅	60	8-	(C6xD5).5C2^2	240,95
(C₆xD₅).₆C₂² = D₆:F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₆xD₅	60	8+	(C6xD5).6C2^2	240,96
(C₆xD₅).₇C₂² = Dic₃:F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₆xD₅	60	8-	(C6xD5).7C2^2	240,97
(C₆xD₅).₈C₂² = C₂xS₃xF₅	φ: C₂²/C₁ → C₂² ⊆ Out C₆xD₅	30	8+	(C6xD5).8C2^2	240,195
(C₆xD₅).₉C₂² = D₅xDic₆	φ: C₂²/C₂ → C₂ ⊆ Out C₆xD₅	120	4-	(C6xD5).9C2^2	240,125
(C₆xD₅).₁₀C₂² = D₆.D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₆xD₅	120	4	(C6xD5).10C2^2	240,132
(C₆xD₅).₁₁C₂² = D₁₂:₅D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₆xD₅	120	4-	(C6xD5).11C2^2	240,133
(C₆xD₅).₁₂C₂² = C₁₂.₂₈D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₆xD₅	120	4+	(C6xD5).12C2^2	240,134
(C₆xD₅).₁₃C₂² = C₄xS₃xD₅	φ: C₂²/C₂ → C₂ ⊆ Out C₆xD₅	60	4	(C6xD5).13C2^2	240,135
(C₆xD₅).₁₄C₂² = D₅xD₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₆xD₅	60	4+	(C6xD5).14C2^2	240,136
(C₆xD₅).₁₅C₂² = C₂xD₅xDic₃	φ: C₂²/C₂ → C₂ ⊆ Out C₆xD₅	120		(C6xD5).15C2^2	240,139
(C₆xD₅).₁₆C₂² = C₃xC₄oD₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₆xD₅	120	2	(C6xD5).16C2^2	240,158
(C₆xD₅).₁₇C₂² = C₃xD₄:₂D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₆xD₅	120	4	(C6xD5).17C2^2	240,160
(C₆xD₅).₁₈C₂² = C₃xQ₈:₂D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₆xD₅	120	4	(C6xD5).18C2^2	240,162
(C₆xD₅).₁₉C₂² = C₄xC₃:F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₆xD₅	60	4	(C6xD5).19C2^2	240,120
(C₆xD₅).₂₀C₂² = C₆₀:C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₆xD₅	60	4	(C6xD5).20C2^2	240,121
(C₆xD₅).₂₁C₂² = D₁₀.D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₆xD₅	60	4	(C6xD5).21C2^2	240,124
(C₆xD₅).₂₂C₂² = C₂²xC₃:F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₆xD₅	60		(C6xD5).22C2^2	240,201
(C₆xD₅).₂₃C₂² = C₁₂xF₅	φ: C₂²/C₂ → C₂ ⊆ Out C₆xD₅	60	4	(C6xD5).23C2^2	240,113
(C₆xD₅).₂₄C₂² = C₃xC₄:F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₆xD₅	60	4	(C6xD5).24C2^2	240,114
(C₆xD₅).₂₅C₂² = C₃xC₂²:F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₆xD₅	60	4	(C6xD5).25C2^2	240,117
(C₆xD₅).₂₆C₂² = C₂xC₆xF₅	φ: C₂²/C₂ → C₂ ⊆ Out C₆xD₅	60		(C6xD5).26C2^2	240,200
(C₆xD₅).₂₇C₂² = D₅xC₂xC₁₂	φ: trivial image	120		(C6xD5).27C2^2	240,156
(C₆xD₅).₂₈C₂² = C₃xQ₈xD₅	φ: trivial image	120	4	(C6xD5).28C2^2	240,161

Extensions 1→N→G→Q→1 with N=C6xD5 and Q=C22

Extensions 1→N→G→Q→1 with N=C₆xD₅ and Q=C₂²