Extensions 1→N→G→Q→1 with N=C₆×D₅ and Q=C₂²

Direct product G=N×Q with N=C₆×D₅ and Q=C₂²

		d	ρ	Label	ID
D₅×C₂²×C₆		120		D5xC2^2xC6	240,205

Semidirect products G=N:Q with N=C₆×D₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×D₅)⋊₁C₂² = S₃×D₂₀	φ: C₂²/C₁ → C₂² ⊆ Out C₆×D₅	60	4+	(C6xD5):1C2^2	240,137
(C₆×D₅)⋊₂C₂² = C₂₀⋊D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₆×D₅	60	4	(C6xD5):2C2^2	240,138
(C₆×D₅)⋊₃C₂² = S₃×C₅⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₆×D₅	60	4	(C6xD5):3C2^2	240,150
(C₆×D₅)⋊₄C₂² = D₁₀⋊D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₆×D₅	60	4+	(C6xD5):4C2^2	240,151
(C₆×D₅)⋊₅C₂² = C₂×C₁₅⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₅	120		(C6xD5):5C2^2	240,145
(C₆×D₅)⋊₆C₂² = C₂×C₃⋊D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₅	120		(C6xD5):6C2^2	240,146
(C₆×D₅)⋊₇C₂² = D₅×C₃⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₅	60	4	(C6xD5):7C2^2	240,149
(C₆×D₅)⋊₈C₂² = C₂²×S₃×D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₅	60		(C6xD5):8C2^2	240,202
(C₆×D₅)⋊₉C₂² = C₆×D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₅	120		(C6xD5):9C2^2	240,157
(C₆×D₅)⋊₁₀C₂² = C₃×D₄×D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₅	60	4	(C6xD5):10C2^2	240,159
(C₆×D₅)⋊₁₁C₂² = C₆×C₅⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₅	120		(C6xD5):11C2^2	240,164

Non-split extensions G=N.Q with N=C₆×D₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×D₅).₁C₂² = D₂₀⋊₅S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₆×D₅	120	4-	(C6xD5).1C2^2	240,126
(C₆×D₅).₂C₂² = D₂₀⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₆×D₅	120	4	(C6xD5).2C2^2	240,127
(C₆×D₅).₃C₂² = Dic₅.D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₆×D₅	120	4	(C6xD5).3C2^2	240,140
(C₆×D₅).₄C₂² = C₃₀.C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₆×D₅	120	4-	(C6xD5).4C2^2	240,141
(C₆×D₅).₅C₂² = Dic₃×F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₆×D₅	60	8-	(C6xD5).5C2^2	240,95
(C₆×D₅).₆C₂² = D₆⋊F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₆×D₅	60	8+	(C6xD5).6C2^2	240,96
(C₆×D₅).₇C₂² = Dic₃⋊F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₆×D₅	60	8-	(C6xD5).7C2^2	240,97
(C₆×D₅).₈C₂² = C₂×S₃×F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₆×D₅	30	8+	(C6xD5).8C2^2	240,195
(C₆×D₅).₉C₂² = D₅×Dic₆	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₅	120	4-	(C6xD5).9C2^2	240,125
(C₆×D₅).₁₀C₂² = D₆.D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₅	120	4	(C6xD5).10C2^2	240,132
(C₆×D₅).₁₁C₂² = D₁₂⋊₅D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₅	120	4-	(C6xD5).11C2^2	240,133
(C₆×D₅).₁₂C₂² = C₁₂.₂₈D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₅	120	4+	(C6xD5).12C2^2	240,134
(C₆×D₅).₁₃C₂² = C₄×S₃×D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₅	60	4	(C6xD5).13C2^2	240,135
(C₆×D₅).₁₄C₂² = D₅×D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₅	60	4+	(C6xD5).14C2^2	240,136
(C₆×D₅).₁₅C₂² = C₂×D₅×Dic₃	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₅	120		(C6xD5).15C2^2	240,139
(C₆×D₅).₁₆C₂² = C₃×C₄○D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₅	120	2	(C6xD5).16C2^2	240,158
(C₆×D₅).₁₇C₂² = C₃×D₄⋊₂D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₅	120	4	(C6xD5).17C2^2	240,160
(C₆×D₅).₁₈C₂² = C₃×Q₈⋊₂D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₅	120	4	(C6xD5).18C2^2	240,162
(C₆×D₅).₁₉C₂² = C₄×C₃⋊F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₅	60	4	(C6xD5).19C2^2	240,120
(C₆×D₅).₂₀C₂² = C₆₀⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₅	60	4	(C6xD5).20C2^2	240,121
(C₆×D₅).₂₁C₂² = D₁₀.D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₅	60	4	(C6xD5).21C2^2	240,124
(C₆×D₅).₂₂C₂² = C₂²×C₃⋊F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₅	60		(C6xD5).22C2^2	240,201
(C₆×D₅).₂₃C₂² = C₁₂×F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₅	60	4	(C6xD5).23C2^2	240,113
(C₆×D₅).₂₄C₂² = C₃×C₄⋊F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₅	60	4	(C6xD5).24C2^2	240,114
(C₆×D₅).₂₅C₂² = C₃×C₂²⋊F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₅	60	4	(C6xD5).25C2^2	240,117
(C₆×D₅).₂₆C₂² = C₂×C₆×F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₅	60		(C6xD5).26C2^2	240,200
(C₆×D₅).₂₇C₂² = D₅×C₂×C₁₂	φ: trivial image	120		(C6xD5).27C2^2	240,156
(C₆×D₅).₂₈C₂² = C₃×Q₈×D₅	φ: trivial image	120	4	(C6xD5).28C2^2	240,161

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Extensions 1→N→G→Q→1 with N=C6×D5 and Q=C22

Extensions 1→N→G→Q→1 with N=C₆×D₅ and Q=C₂²