Extensions 1→N→G→Q→1 with N=D₅×Dic₃ and Q=C₂²

Direct product G=N×Q with N=D₅×Dic₃ and Q=C₂²

		d	ρ	Label	ID
C₂²×D₅×Dic₃		240		C2^2xD5xDic3	480,1112

Semidirect products G=N:Q with N=D₅×Dic₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×Dic₃)⋊₁C₂² = D₂₀⋊₂₅D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₅×Dic₃	120	4	(D5xDic3):1C2^2	480,1093
(D₅×Dic₃)⋊₂C₂² = D₂₀⋊₁₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₅×Dic₃	120	8-	(D5xDic3):2C2^2	480,1101
(D₅×Dic₃)⋊₃C₂² = D₂₀⋊₁₄D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₅×Dic₃	120	8+	(D5xDic3):3C2^2	480,1102
(D₅×Dic₃)⋊₄C₂² = C₁₅⋊2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out D₅×Dic₃	120	4	(D5xDic3):4C2^2	480,1125
(D₅×Dic₃)⋊₅C₂² = C₂×D₂₀⋊₅S₃	φ: C₂²/C₂ → C₂ ⊆ Out D₅×Dic₃	240		(D5xDic3):5C2^2	480,1074
(D₅×Dic₃)⋊₆C₂² = C₂×D₂₀⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Out D₅×Dic₃	240		(D5xDic3):6C2^2	480,1075
(D₅×Dic₃)⋊₇C₂² = S₃×C₄○D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out D₅×Dic₃	120	4	(D5xDic3):7C2^2	480,1091
(D₅×Dic₃)⋊₈C₂² = D₂₀⋊₂₄D₆	φ: C₂²/C₂ → C₂ ⊆ Out D₅×Dic₃	120	4	(D5xDic3):8C2^2	480,1092
(D₅×Dic₃)⋊₉C₂² = S₃×D₄×D₅	φ: C₂²/C₂ → C₂ ⊆ Out D₅×Dic₃	60	8+	(D5xDic3):9C2^2	480,1097
(D₅×Dic₃)⋊₁₀C₂² = D₅×D₄⋊₂S₃	φ: C₂²/C₂ → C₂ ⊆ Out D₅×Dic₃	120	8-	(D5xDic3):10C2^2	480,1098
(D₅×Dic₃)⋊₁₁C₂² = S₃×D₄⋊₂D₅	φ: C₂²/C₂ → C₂ ⊆ Out D₅×Dic₃	120	8-	(D5xDic3):11C2^2	480,1099
(D₅×Dic₃)⋊₁₂C₂² = D₃₀.C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₅×Dic₃	120	8+	(D5xDic3):12C2^2	480,1100
(D₅×Dic₃)⋊₁₃C₂² = S₃×Q₈⋊₂D₅	φ: C₂²/C₂ → C₂ ⊆ Out D₅×Dic₃	120	8+	(D5xDic3):13C2^2	480,1109
(D₅×Dic₃)⋊₁₄C₂² = D₂₀⋊₁₆D₆	φ: C₂²/C₂ → C₂ ⊆ Out D₅×Dic₃	120	8-	(D5xDic3):14C2^2	480,1110
(D₅×Dic₃)⋊₁₅C₂² = C₂×Dic₅.D₆	φ: C₂²/C₂ → C₂ ⊆ Out D₅×Dic₃	240		(D5xDic3):15C2^2	480,1113
(D₅×Dic₃)⋊₁₆C₂² = C₂×C₃₀.C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₅×Dic₃	240		(D5xDic3):16C2^2	480,1114
(D₅×Dic₃)⋊₁₇C₂² = C₂×D₅×C₃⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₅×Dic₃	120		(D5xDic3):17C2^2	480,1122
(D₅×Dic₃)⋊₁₈C₂² = S₃×C₂×C₄×D₅	φ: trivial image	120		(D5xDic3):18C2^2	480,1086

Non-split extensions G=N.Q with N=D₅×Dic₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×Dic₃).₁C₂² = D₂₀.₃₈D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₅×Dic₃	240	4	(D5xDic3).1C2^2	480,1076
(D₅×Dic₃).₂C₂² = D₂₀.₃₉D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₅×Dic₃	240	4-	(D5xDic3).2C2^2	480,1077
(D₅×Dic₃).₃C₂² = C₁₅⋊2_-¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out D₅×Dic₃	240	8-	(D5xDic3).3C2^2	480,1096
(D₅×Dic₃).₄C₂² = D₂₀.₂₉D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₅×Dic₃	240	8-	(D5xDic3).4C2^2	480,1104
(D₅×Dic₃).₅C₂² = F₅×Dic₆	φ: C₂²/C₁ → C₂² ⊆ Out D₅×Dic₃	120	8-	(D5xDic3).5C2^2	480,982
(D₅×Dic₃).₆C₂² = Dic₆⋊₅F₅	φ: C₂²/C₁ → C₂² ⊆ Out D₅×Dic₃	120	8-	(D5xDic3).6C2^2	480,984
(D₅×Dic₃).₇C₂² = F₅×C₃⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₅×Dic₃	60	8	(D5xDic3).7C2^2	480,1010
(D₅×Dic₃).₈C₂² = C₃⋊D₄⋊F₅	φ: C₂²/C₁ → C₂² ⊆ Out D₅×Dic₃	60	8	(D5xDic3).8C2^2	480,1012
(D₅×Dic₃).₉C₂² = C₂×D₅×Dic₆	φ: C₂²/C₂ → C₂ ⊆ Out D₅×Dic₃	240		(D5xDic3).9C2^2	480,1073
(D₅×Dic₃).₁₀C₂² = D₅×C₄○D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out D₅×Dic₃	120	4	(D5xDic3).10C2^2	480,1090
(D₅×Dic₃).₁₁C₂² = S₃×Q₈×D₅	φ: C₂²/C₂ → C₂ ⊆ Out D₅×Dic₃	120	8-	(D5xDic3).11C2^2	480,1107
(D₅×Dic₃).₁₂C₂² = C₄⋊F₅⋊₃S₃	φ: C₂²/C₂ → C₂ ⊆ Out D₅×Dic₃	120	8	(D5xDic3).12C2^2	480,983
(D₅×Dic₃).₁₃C₂² = (C₄×S₃)⋊F₅	φ: C₂²/C₂ → C₂ ⊆ Out D₅×Dic₃	120	8	(D5xDic3).13C2^2	480,985
(D₅×Dic₃).₁₄C₂² = C₄×S₃×F₅	φ: C₂²/C₂ → C₂ ⊆ Out D₅×Dic₃	60	8	(D5xDic3).14C2^2	480,994
(D₅×Dic₃).₁₅C₂² = S₃×C₄⋊F₅	φ: C₂²/C₂ → C₂ ⊆ Out D₅×Dic₃	60	8	(D5xDic3).15C2^2	480,996
(D₅×Dic₃).₁₆C₂² = C₂×Dic₃×F₅	φ: C₂²/C₂ → C₂ ⊆ Out D₅×Dic₃	120		(D5xDic3).16C2^2	480,998
(D₅×Dic₃).₁₇C₂² = C₂²⋊F₅.S₃	φ: C₂²/C₂ → C₂ ⊆ Out D₅×Dic₃	120	8-	(D5xDic3).17C2^2	480,999
(D₅×Dic₃).₁₈C₂² = C₂×Dic₃⋊F₅	φ: C₂²/C₂ → C₂ ⊆ Out D₅×Dic₃	120		(D5xDic3).18C2^2	480,1001
(D₅×Dic₃).₁₉C₂² = D₅×Q₈⋊₃S₃	φ: trivial image	120	8+	(D5xDic3).19C2^2	480,1108

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