Extensions 1→N→G→Q→1 with N=S₃×Dic₅ and Q=C₂²

Direct product G=N×Q with N=S₃×Dic₅ and Q=C₂²

		d	ρ	Label	ID
C₂²×S₃×Dic₅		240		C2^2xS3xDic5	480,1115

Semidirect products G=N:Q with N=S₃×Dic₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×Dic₅)⋊₁C₂² = D₂₀⋊₂₆D₆	φ: C₂²/C₁ → C₂² ⊆ Out S₃×Dic₅	120	4	(S3xDic5):1C2^2	480,1094
(S₃×Dic₅)⋊₂C₂² = D₂₀⋊₁₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out S₃×Dic₅	120	8-	(S3xDic5):2C2^2	480,1101
(S₃×Dic₅)⋊₃C₂² = D₁₂⋊₁₄D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out S₃×Dic₅	120	8+	(S3xDic5):3C2^2	480,1103
(S₃×Dic₅)⋊₄C₂² = C₁₅⋊2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out S₃×Dic₅	120	4	(S3xDic5):4C2^2	480,1125
(S₃×Dic₅)⋊₅C₂² = C₂×D₁₂⋊D₅	φ: C₂²/C₂ → C₂ ⊆ Out S₃×Dic₅	240		(S3xDic5):5C2^2	480,1079
(S₃×Dic₅)⋊₆C₂² = C₂×D₁₂⋊₅D₅	φ: C₂²/C₂ → C₂ ⊆ Out S₃×Dic₅	240		(S3xDic5):6C2^2	480,1084
(S₃×Dic₅)⋊₇C₂² = D₅×C₄○D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out S₃×Dic₅	120	4	(S3xDic5):7C2^2	480,1090
(S₃×Dic₅)⋊₈C₂² = D₂₀⋊₂₄D₆	φ: C₂²/C₂ → C₂ ⊆ Out S₃×Dic₅	120	4	(S3xDic5):8C2^2	480,1092
(S₃×Dic₅)⋊₉C₂² = S₃×D₄×D₅	φ: C₂²/C₂ → C₂ ⊆ Out S₃×Dic₅	60	8+	(S3xDic5):9C2^2	480,1097
(S₃×Dic₅)⋊₁₀C₂² = D₅×D₄⋊₂S₃	φ: C₂²/C₂ → C₂ ⊆ Out S₃×Dic₅	120	8-	(S3xDic5):10C2^2	480,1098
(S₃×Dic₅)⋊₁₁C₂² = S₃×D₄⋊₂D₅	φ: C₂²/C₂ → C₂ ⊆ Out S₃×Dic₅	120	8-	(S3xDic5):11C2^2	480,1099
(S₃×Dic₅)⋊₁₂C₂² = D₃₀.C₂³	φ: C₂²/C₂ → C₂ ⊆ Out S₃×Dic₅	120	8+	(S3xDic5):12C2^2	480,1100
(S₃×Dic₅)⋊₁₃C₂² = D₅×Q₈⋊₃S₃	φ: C₂²/C₂ → C₂ ⊆ Out S₃×Dic₅	120	8+	(S3xDic5):13C2^2	480,1108
(S₃×Dic₅)⋊₁₄C₂² = D₂₀⋊₁₆D₆	φ: C₂²/C₂ → C₂ ⊆ Out S₃×Dic₅	120	8-	(S3xDic5):14C2^2	480,1110
(S₃×Dic₅)⋊₁₅C₂² = C₂×C₃₀.C₂³	φ: C₂²/C₂ → C₂ ⊆ Out S₃×Dic₅	240		(S3xDic5):15C2^2	480,1114
(S₃×Dic₅)⋊₁₆C₂² = C₂×Dic₃.D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out S₃×Dic₅	240		(S3xDic5):16C2^2	480,1116
(S₃×Dic₅)⋊₁₇C₂² = C₂×S₃×C₅⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out S₃×Dic₅	120		(S3xDic5):17C2^2	480,1123
(S₃×Dic₅)⋊₁₈C₂² = S₃×C₂×C₄×D₅	φ: trivial image	120		(S3xDic5):18C2^2	480,1086

Non-split extensions G=N.Q with N=S₃×Dic₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×Dic₅).₁C₂² = D₂₀.₃₉D₆	φ: C₂²/C₁ → C₂² ⊆ Out S₃×Dic₅	240	4-	(S3xDic5).1C2^2	480,1077
(S₃×Dic₅).₂C₂² = C₃₀.C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Out S₃×Dic₅	240	4	(S3xDic5).2C2^2	480,1080
(S₃×Dic₅).₃C₂² = C₁₅⋊2_-¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out S₃×Dic₅	240	8-	(S3xDic5).3C2^2	480,1096
(S₃×Dic₅).₄C₂² = D₁₂.₂₉D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out S₃×Dic₅	240	8-	(S3xDic5).4C2^2	480,1106
(S₃×Dic₅).₅C₂² = D₁₂.₂F₅	φ: C₂²/C₁ → C₂² ⊆ Out S₃×Dic₅	240	8-	(S3xDic5).5C2^2	480,987
(S₃×Dic₅).₆C₂² = D₁₂.F₅	φ: C₂²/C₁ → C₂² ⊆ Out S₃×Dic₅	240	8-	(S3xDic5).6C2^2	480,989
(S₃×Dic₅).₇C₂² = C₅⋊C₈.D₆	φ: C₂²/C₁ → C₂² ⊆ Out S₃×Dic₅	240	8	(S3xDic5).7C2^2	480,1003
(S₃×Dic₅).₈C₂² = D₁₅⋊C₈⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Out S₃×Dic₅	240	8	(S3xDic5).8C2^2	480,1005
(S₃×Dic₅).₉C₂² = C₂×S₃×Dic₁₀	φ: C₂²/C₂ → C₂ ⊆ Out S₃×Dic₅	240		(S3xDic5).9C2^2	480,1078
(S₃×Dic₅).₁₀C₂² = S₃×C₄○D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out S₃×Dic₅	120	4	(S3xDic5).10C2^2	480,1091
(S₃×Dic₅).₁₁C₂² = S₃×Q₈×D₅	φ: C₂²/C₂ → C₂ ⊆ Out S₃×Dic₅	120	8-	(S3xDic5).11C2^2	480,1107
(S₃×Dic₅).₁₂C₂² = S₃×D₅⋊C₈	φ: C₂²/C₂ → C₂ ⊆ Out S₃×Dic₅	120	8	(S3xDic5).12C2^2	480,986
(S₃×Dic₅).₁₃C₂² = S₃×C₄.F₅	φ: C₂²/C₂ → C₂ ⊆ Out S₃×Dic₅	120	8	(S3xDic5).13C2^2	480,988
(S₃×Dic₅).₁₄C₂² = D₁₅⋊M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out S₃×Dic₅	120	8	(S3xDic5).14C2^2	480,991
(S₃×Dic₅).₁₅C₂² = C₅⋊C₈⋊D₆	φ: C₂²/C₂ → C₂ ⊆ Out S₃×Dic₅	120	8	(S3xDic5).15C2^2	480,993
(S₃×Dic₅).₁₆C₂² = C₂×S₃×C₅⋊C₈	φ: C₂²/C₂ → C₂ ⊆ Out S₃×Dic₅	240		(S3xDic5).16C2^2	480,1002
(S₃×Dic₅).₁₇C₂² = S₃×C₂².F₅	φ: C₂²/C₂ → C₂ ⊆ Out S₃×Dic₅	120	8-	(S3xDic5).17C2^2	480,1004
(S₃×Dic₅).₁₈C₂² = C₂×D₆.F₅	φ: C₂²/C₂ → C₂ ⊆ Out S₃×Dic₅	240		(S3xDic5).18C2^2	480,1008
(S₃×Dic₅).₁₉C₂² = S₃×Q₈⋊₂D₅	φ: trivial image	120	8+	(S3xDic5).19C2^2	480,1109

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁