Extensions 1→N→G→Q→1 with N=C₅×D₁₂ and Q=C₂²

Direct product G=N×Q with N=C₅×D₁₂ and Q=C₂²

		d	ρ	Label	ID
C₂×C₁₀×D₁₂		240		C2xC10xD12	480,1152

Semidirect products G=N:Q with N=C₅×D₁₂ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₁₂)⋊₁C₂² = D₅×D₄⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	120	8+	(C5xD12):1C2^2	480,553
(C₅×D₁₂)⋊₂C₂² = S₃×D₄⋊D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	120	8+	(C5xD12):2C2^2	480,555
(C₅×D₁₂)⋊₃C₂² = D₁₅⋊D₈	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	120	8+	(C5xD12):3C2^2	480,557
(C₅×D₁₂)⋊₄C₂² = D₁₂⋊₁₀D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	120	8-	(C5xD12):4C2^2	480,565
(C₅×D₁₂)⋊₅C₂² = D₁₂⋊₅D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	120	8+	(C5xD12):5C2^2	480,576
(C₅×D₁₂)⋊₆C₂² = D₁₂⋊D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	120	8+	(C5xD12):6C2^2	480,580
(C₅×D₁₂)⋊₇C₂² = S₃×D₄×D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	60	8+	(C5xD12):7C2^2	480,1097
(C₅×D₁₂)⋊₈C₂² = S₃×D₄⋊₂D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	120	8-	(C5xD12):8C2^2	480,1099
(C₅×D₁₂)⋊₉C₂² = D₂₀⋊₁₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	120	8-	(C5xD12):9C2^2	480,1101
(C₅×D₁₂)⋊₁₀C₂² = D₁₂⋊₁₄D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	120	8+	(C5xD12):10C2^2	480,1103
(C₅×D₁₂)⋊₁₁C₂² = D₅×Q₈⋊₃S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	120	8+	(C5xD12):11C2^2	480,1108
(C₅×D₁₂)⋊₁₂C₂² = D₂₀⋊₁₆D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	120	8-	(C5xD12):12C2^2	480,1110
(C₅×D₁₂)⋊₁₃C₂² = D₂₀⋊₁₇D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	120	8+	(C5xD12):13C2^2	480,1111
(C₅×D₁₂)⋊₁₄C₂² = D₅×D₂₄	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	120	4+	(C5xD12):14C2^2	480,324
(C₅×D₁₂)⋊₁₅C₂² = D₂₄⋊D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	120	4	(C5xD12):15C2^2	480,326
(C₅×D₁₂)⋊₁₆C₂² = C₄₀⋊₅D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	120	4	(C5xD12):16C2^2	480,332
(C₅×D₁₂)⋊₁₇C₂² = D₂₄⋊₆D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	120	4	(C5xD12):17C2^2	480,333
(C₅×D₁₂)⋊₁₈C₂² = C₅×S₃×D₈	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	120	4	(C5xD12):18C2^2	480,789
(C₅×D₁₂)⋊₁₉C₂² = C₅×Q₈⋊₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	120	4	(C5xD12):19C2^2	480,793
(C₅×D₁₂)⋊₂₀C₂² = C₂×C₅⋊D₂₄	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₁₂	240		(C5xD12):20C2^2	480,378
(C₅×D₁₂)⋊₂₁C₂² = C₆₀.₃₈D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₁₂	120	4+	(C5xD12):21C2^2	480,381
(C₅×D₁₂)⋊₂₂C₂² = C₂×D₁₂⋊₅D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₁₂	240		(C5xD12):22C2^2	480,1084
(C₅×D₁₂)⋊₂₃C₂² = C₂×D₅×D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₁₂	120		(C5xD12):23C2^2	480,1087
(C₅×D₁₂)⋊₂₄C₂² = D₅×C₄○D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₁₂	120	4	(C5xD12):24C2^2	480,1090
(C₅×D₁₂)⋊₂₅C₂² = D₂₀⋊₂₆D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₁₂	120	4	(C5xD12):25C2^2	480,1094
(C₅×D₁₂)⋊₂₆C₂² = D₂₀⋊₂₉D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₁₂	120	4+	(C5xD12):26C2^2	480,1095
(C₅×D₁₂)⋊₂₇C₂² = C₂×C₁₅⋊D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₁₂	240		(C5xD12):27C2^2	480,372
(C₅×D₁₂)⋊₂₈C₂² = C₆₀.₃₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₁₂	120	4	(C5xD12):28C2^2	480,374
(C₅×D₁₂)⋊₂₉C₂² = C₂×D₁₂⋊D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₁₂	240		(C5xD12):29C2^2	480,1079
(C₅×D₁₂)⋊₃₀C₂² = C₂×C₂₀⋊D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₁₂	120		(C5xD12):30C2^2	480,1089
(C₅×D₁₂)⋊₃₁C₂² = D₂₀⋊₂₄D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₁₂	120	4	(C5xD12):31C2^2	480,1092
(C₅×D₁₂)⋊₃₂C₂² = D₂₀⋊₂₅D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₁₂	120	4	(C5xD12):32C2^2	480,1093
(C₅×D₁₂)⋊₃₃C₂² = C₁₀×D₂₄	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₁₂	240		(C5xD12):33C2^2	480,782
(C₅×D₁₂)⋊₃₄C₂² = C₅×C₈⋊D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₁₂	120	4	(C5xD12):34C2^2	480,787
(C₅×D₁₂)⋊₃₅C₂² = C₁₀×D₄⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₁₂	240		(C5xD12):35C2^2	480,810
(C₅×D₁₂)⋊₃₆C₂² = C₅×D₁₂⋊₆C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₁₂	120	4	(C5xD12):36C2^2	480,811
(C₅×D₁₂)⋊₃₇C₂² = S₃×D₄×C₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₁₂	120		(C5xD12):37C2^2	480,1154
(C₅×D₁₂)⋊₃₈C₂² = C₅×D₄⋊₆D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₁₂	120	4	(C5xD12):38C2^2	480,1156
(C₅×D₁₂)⋊₃₉C₂² = C₁₀×Q₈⋊₃S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₁₂	240		(C5xD12):39C2^2	480,1158
(C₅×D₁₂)⋊₄₀C₂² = C₅×S₃×C₄○D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₁₂	120	4	(C5xD12):40C2^2	480,1160
(C₅×D₁₂)⋊₄₁C₂² = C₅×D₄○D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₁₂	120	4	(C5xD12):41C2^2	480,1161
(C₅×D₁₂)⋊₄₂C₂² = C₁₀×C₄○D₁₂	φ: trivial image	240		(C5xD12):42C2^2	480,1153

Non-split extensions G=N.Q with N=C₅×D₁₂ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₁₂).₁C₂² = Dic₁₀⋊₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	120	8+	(C5xD12).1C2^2	480,554
(C₅×D₁₂).₂C₂² = D₃₀.₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	120	8-	(C5xD12).2C2^2	480,558
(C₅×D₁₂).₃C₂² = S₃×D₄.D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	120	8-	(C5xD12).3C2^2	480,561
(C₅×D₁₂).₄C₂² = D₁₂.₂₄D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	240	8-	(C5xD12).4C2^2	480,566
(C₅×D₁₂).₅C₂² = D₂₀⋊₁₀D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	120	8-	(C5xD12).5C2^2	480,570
(C₅×D₁₂).₆C₂² = D₁₂.₉D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	120	8+	(C5xD12).6C2^2	480,572
(C₅×D₁₂).₇C₂² = D₃₀.₁₁D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	240	8-	(C5xD12).7C2^2	480,575
(C₅×D₁₂).₈C₂² = D₅×Q₈⋊₂S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	120	8+	(C5xD12).8C2^2	480,577
(C₅×D₁₂).₉C₂² = D₂₀⋊D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	120	8+	(C5xD12).9C2^2	480,578
(C₅×D₁₂).₁₀C₂² = D₁₅⋊SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	120	8-	(C5xD12).10C2^2	480,581
(C₅×D₁₂).₁₁C₂² = D₆₀⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	120	8+	(C5xD12).11C2^2	480,582
(C₅×D₁₂).₁₂C₂² = Dic₁₀.₂₆D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	240	8-	(C5xD12).12C2^2	480,586
(C₅×D₁₂).₁₃C₂² = D₁₂.₂₇D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	240	8-	(C5xD12).13C2^2	480,589
(C₅×D₁₂).₁₄C₂² = D₂₀.₁₄D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	240	8-	(C5xD12).14C2^2	480,590
(C₅×D₁₂).₁₅C₂² = D₂₀.₂₇D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	240	8-	(C5xD12).15C2^2	480,593
(C₅×D₁₂).₁₆C₂² = Dic₁₀.₂₇D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	240	8+	(C5xD12).16C2^2	480,595
(C₅×D₁₂).₁₇C₂² = D₁₂.D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	240	8+	(C5xD12).17C2^2	480,599
(C₅×D₁₂).₁₈C₂² = D₃₀.₄₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	240	8-	(C5xD12).18C2^2	480,600
(C₅×D₁₂).₁₉C₂² = D₁₂.₂₉D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	240	8-	(C5xD12).19C2^2	480,1106
(C₅×D₁₂).₂₀C₂² = D₅×C₂₄⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	120	4	(C5xD12).20C2^2	480,323
(C₅×D₁₂).₂₁C₂² = C₂₄⋊D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	120	4+	(C5xD12).21C2^2	480,325
(C₅×D₁₂).₂₂C₂² = Dic₆₀⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	240	4-	(C5xD12).22C2^2	480,336
(C₅×D₁₂).₂₃C₂² = C₄₀.₃₁D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	240	4	(C5xD12).23C2^2	480,345
(C₅×D₁₂).₂₄C₂² = D₂₄⋊₇D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	240	4-	(C5xD12).24C2^2	480,346
(C₅×D₁₂).₂₅C₂² = C₄₀⋊₁₄D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	120	4	(C5xD12).25C2^2	480,331
(C₅×D₁₂).₂₆C₂² = C₄₀⋊₈D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	120	4	(C5xD12).26C2^2	480,334
(C₅×D₁₂).₂₇C₂² = Dic₆.D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	240	4	(C5xD12).27C2^2	480,352
(C₅×D₁₂).₂₈C₂² = D₂₄⋊₅D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	240	4	(C5xD12).28C2^2	480,355
(C₅×D₁₂).₂₉C₂² = D₃₀.₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	240	4	(C5xD12).29C2^2	480,356
(C₅×D₁₂).₃₀C₂² = C₅×D₈⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	120	4	(C5xD12).30C2^2	480,790
(C₅×D₁₂).₃₁C₂² = C₅×S₃×SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	120	4	(C5xD12).31C2^2	480,792
(C₅×D₁₂).₃₂C₂² = C₅×Q₈.₇D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	240	4	(C5xD12).32C2^2	480,795
(C₅×D₁₂).₃₃C₂² = C₅×Q₁₆⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	240	4	(C5xD12).33C2^2	480,797
(C₅×D₁₂).₃₄C₂² = C₅×D₂₄⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₁₂	240	4	(C5xD12).34C2^2	480,798
(C₅×D₁₂).₃₅C₂² = C₂₀.₆₀D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₁₂	240	4	(C5xD12).35C2^2	480,379
(C₅×D₁₂).₃₆C₂² = D₆₀⋊₃₆C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₁₂	120	4	(C5xD12).36C2^2	480,380
(C₅×D₁₂).₃₇C₂² = C₂×D₁₂.D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₁₂	240		(C5xD12).37C2^2	480,392
(C₅×D₁₂).₃₈C₂² = D₁₂.₃₃D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₁₂	240	4-	(C5xD12).38C2^2	480,398
(C₅×D₁₂).₃₉C₂² = D₂₀.₃₉D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₁₂	240	4-	(C5xD12).39C2^2	480,1077
(C₅×D₁₂).₄₀C₂² = D₂₀.₃₄D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₁₂	240	4	(C5xD12).40C2^2	480,373
(C₅×D₁₂).₄₁C₂² = D₂₀⋊₂₁D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₁₂	120	4	(C5xD12).41C2^2	480,375
(C₅×D₁₂).₄₂C₂² = C₂×C₂₀.D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₁₂	240		(C5xD12).42C2^2	480,384
(C₅×D₁₂).₄₃C₂² = D₁₂.₃₇D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₁₂	240	4	(C5xD12).43C2^2	480,385
(C₅×D₁₂).₄₄C₂² = C₃₀.C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₁₂	240	4	(C5xD12).44C2^2	480,1080
(C₅×D₁₂).₄₅C₂² = C₁₀×C₂₄⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₁₂	240		(C5xD12).45C2^2	480,781
(C₅×D₁₂).₄₆C₂² = C₅×C₄○D₂₄	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₁₂	240	2	(C5xD12).46C2^2	480,783
(C₅×D₁₂).₄₇C₂² = C₅×C₈.D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₁₂	240	4	(C5xD12).47C2^2	480,788
(C₅×D₁₂).₄₈C₂² = C₁₀×Q₈⋊₂S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₁₂	240		(C5xD12).48C2^2	480,820
(C₅×D₁₂).₄₉C₂² = C₅×Q₈.₁₁D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₁₂	240	4	(C5xD12).49C2^2	480,821
(C₅×D₁₂).₅₀C₂² = C₅×D₄⋊D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₁₂	120	4	(C5xD12).50C2^2	480,828
(C₅×D₁₂).₅₁C₂² = C₅×Q₈.₁₃D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₁₂	240	4	(C5xD12).51C2^2	480,829
(C₅×D₁₂).₅₂C₂² = C₅×Q₈.₁₅D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₁₂	240	4	(C5xD12).52C2^2	480,1159
(C₅×D₁₂).₅₃C₂² = C₅×Q₈○D₁₂	φ: trivial image	240	4	(C5xD12).53C2^2	480,1162

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Extensions 1→N→G→Q→1 with N=C5×D12 and Q=C22

Extensions 1→N→G→Q→1 with N=C₅×D₁₂ and Q=C₂²