Extensions 1→N→G→Q→1 with N=Q₈×C₁₅ and Q=C₂²

Direct product G=N×Q with N=Q₈×C₁₅ and Q=C₂²

		d	ρ	Label	ID
Q₈×C₂×C₃₀		480		Q8xC2xC30	480,1182

Semidirect products G=N:Q with N=Q₈×C₁₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₁₅)⋊₁C₂² = D₅×Q₈⋊₂S₃	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	120	8+	(Q8xC15):1C2^2	480,577
(Q₈×C₁₅)⋊₂C₂² = D₂₀⋊D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	120	8+	(Q8xC15):2C2^2	480,578
(Q₈×C₁₅)⋊₃C₂² = S₃×Q₈⋊D₅	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	120	8+	(Q8xC15):3C2^2	480,579
(Q₈×C₁₅)⋊₄C₂² = D₁₂⋊D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	120	8+	(Q8xC15):4C2^2	480,580
(Q₈×C₁₅)⋊₅C₂² = D₁₅⋊SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	120	8-	(Q8xC15):5C2^2	480,581
(Q₈×C₁₅)⋊₆C₂² = D₆₀⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	120	8+	(Q8xC15):6C2^2	480,582
(Q₈×C₁₅)⋊₇C₂² = S₃×Q₈×D₅	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	120	8-	(Q8xC15):7C2^2	480,1107
(Q₈×C₁₅)⋊₈C₂² = D₅×Q₈⋊₃S₃	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	120	8+	(Q8xC15):8C2^2	480,1108
(Q₈×C₁₅)⋊₉C₂² = S₃×Q₈⋊₂D₅	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	120	8+	(Q8xC15):9C2^2	480,1109
(Q₈×C₁₅)⋊₁₀C₂² = D₂₀⋊₁₆D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	120	8-	(Q8xC15):10C2^2	480,1110
(Q₈×C₁₅)⋊₁₁C₂² = D₂₀⋊₁₇D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	120	8+	(Q8xC15):11C2^2	480,1111
(Q₈×C₁₅)⋊₁₂C₂² = SD₁₆×D₁₅	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	120	4	(Q8xC15):12C2^2	480,878
(Q₈×C₁₅)⋊₁₃C₂² = Q₈⋊₃D₃₀	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	120	4+	(Q8xC15):13C2^2	480,879
(Q₈×C₁₅)⋊₁₄C₂² = C₃×D₅×SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	120	4	(Q8xC15):14C2^2	480,706
(Q₈×C₁₅)⋊₁₅C₂² = C₃×D₄₀⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	120	4	(Q8xC15):15C2^2	480,707
(Q₈×C₁₅)⋊₁₆C₂² = C₅×S₃×SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	120	4	(Q8xC15):16C2^2	480,792
(Q₈×C₁₅)⋊₁₇C₂² = C₅×Q₈⋊₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	120	4	(Q8xC15):17C2^2	480,793
(Q₈×C₁₅)⋊₁₈C₂² = C₂×Q₈⋊₂D₁₅	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₅	240		(Q8xC15):18C2^2	480,906
(Q₈×C₁₅)⋊₁₉C₂² = D₄⋊D₃₀	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₅	120	4+	(Q8xC15):19C2^2	480,914
(Q₈×C₁₅)⋊₂₀C₂² = C₂×Q₈×D₁₅	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₅	240		(Q8xC15):20C2^2	480,1172
(Q₈×C₁₅)⋊₂₁C₂² = C₂×Q₈⋊₃D₁₅	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₅	240		(Q8xC15):21C2^2	480,1173
(Q₈×C₁₅)⋊₂₂C₂² = C₄○D₄×D₁₅	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₅	120	4	(Q8xC15):22C2^2	480,1175
(Q₈×C₁₅)⋊₂₃C₂² = D₄⋊₈D₃₀	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₅	120	4+	(Q8xC15):23C2^2	480,1176
(Q₈×C₁₅)⋊₂₄C₂² = C₆×Q₈⋊D₅	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₅	240		(Q8xC15):24C2^2	480,734
(Q₈×C₁₅)⋊₂₅C₂² = C₃×D₄⋊D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₅	120	4	(Q8xC15):25C2^2	480,742
(Q₈×C₁₅)⋊₂₆C₂² = C₆×Q₈×D₅	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₅	240		(Q8xC15):26C2^2	480,1142
(Q₈×C₁₅)⋊₂₇C₂² = C₆×Q₈⋊₂D₅	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₅	240		(Q8xC15):27C2^2	480,1143
(Q₈×C₁₅)⋊₂₈C₂² = C₃×D₅×C₄○D₄	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₅	120	4	(Q8xC15):28C2^2	480,1145
(Q₈×C₁₅)⋊₂₉C₂² = C₃×D₄⋊₈D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₅	120	4	(Q8xC15):29C2^2	480,1146
(Q₈×C₁₅)⋊₃₀C₂² = C₁₀×Q₈⋊₂S₃	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₅	240		(Q8xC15):30C2^2	480,820
(Q₈×C₁₅)⋊₃₁C₂² = C₅×D₄⋊D₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₅	120	4	(Q8xC15):31C2^2	480,828
(Q₈×C₁₅)⋊₃₂C₂² = S₃×Q₈×C₁₀	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₅	240		(Q8xC15):32C2^2	480,1157
(Q₈×C₁₅)⋊₃₃C₂² = C₁₀×Q₈⋊₃S₃	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₅	240		(Q8xC15):33C2^2	480,1158
(Q₈×C₁₅)⋊₃₄C₂² = C₅×S₃×C₄○D₄	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₅	120	4	(Q8xC15):34C2^2	480,1160
(Q₈×C₁₅)⋊₃₅C₂² = C₅×D₄○D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₅	120	4	(Q8xC15):35C2^2	480,1161
(Q₈×C₁₅)⋊₃₆C₂² = SD₁₆×C₃₀	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₅	240		(Q8xC15):36C2^2	480,938
(Q₈×C₁₅)⋊₃₇C₂² = C₁₅×C₈⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₅	120	4	(Q8xC15):37C2^2	480,941
(Q₈×C₁₅)⋊₃₈C₂² = C₄○D₄×C₃₀	φ: trivial image	240		(Q8xC15):38C2^2	480,1183
(Q₈×C₁₅)⋊₃₉C₂² = C₁₅×2₊¹⁺⁴	φ: trivial image	120	4	(Q8xC15):39C2^2	480,1184

Non-split extensions G=N.Q with N=Q₈×C₁₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₁₅).₁C₂² = D₅×C₃⋊Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	240	8-	(Q8xC15).1C2^2	480,583
(Q₈×C₁₅).₂C₂² = D₂₀.₁₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	240	8-	(Q8xC15).2C2^2	480,584
(Q₈×C₁₅).₃C₂² = S₃×C₅⋊Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	240	8-	(Q8xC15).3C2^2	480,585
(Q₈×C₁₅).₄C₂² = Dic₁₀.₂₆D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	240	8-	(Q8xC15).4C2^2	480,586
(Q₈×C₁₅).₅C₂² = D₁₅⋊Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	240	8-	(Q8xC15).5C2^2	480,587
(Q₈×C₁₅).₆C₂² = C₆₀.C₂³	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	240	8+	(Q8xC15).6C2^2	480,588
(Q₈×C₁₅).₇C₂² = D₁₂.₂₇D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	240	8-	(Q8xC15).7C2^2	480,589
(Q₈×C₁₅).₈C₂² = D₂₀.₁₄D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	240	8-	(Q8xC15).8C2^2	480,590
(Q₈×C₁₅).₉C₂² = C₆₀.₃₉C₂³	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	240	8+	(Q8xC15).9C2^2	480,591
(Q₈×C₁₅).₁₀C₂² = D₂₀.D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	240	8+	(Q8xC15).10C2^2	480,592
(Q₈×C₁₅).₁₁C₂² = D₂₀.₂₇D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	240	8-	(Q8xC15).11C2^2	480,593
(Q₈×C₁₅).₁₂C₂² = D₂₀.₂₈D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	240	8-	(Q8xC15).12C2^2	480,594
(Q₈×C₁₅).₁₃C₂² = Dic₁₀.₂₇D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	240	8+	(Q8xC15).13C2^2	480,595
(Q₈×C₁₅).₁₄C₂² = C₆₀.₄₄C₂³	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	240	8+	(Q8xC15).14C2^2	480,596
(Q₈×C₁₅).₁₅C₂² = D₂₀.₁₆D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	240	8+	(Q8xC15).15C2^2	480,597
(Q₈×C₁₅).₁₆C₂² = D₂₀.₁₇D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	240	8-	(Q8xC15).16C2^2	480,598
(Q₈×C₁₅).₁₇C₂² = D₁₂.D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	240	8+	(Q8xC15).17C2^2	480,599
(Q₈×C₁₅).₁₈C₂² = D₃₀.₄₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	240	8-	(Q8xC15).18C2^2	480,600
(Q₈×C₁₅).₁₉C₂² = D₂₀.₂₉D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	240	8-	(Q8xC15).19C2^2	480,1104
(Q₈×C₁₅).₂₀C₂² = C₃₀.₃₃C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	240	8+	(Q8xC15).20C2^2	480,1105
(Q₈×C₁₅).₂₁C₂² = D₁₂.₂₉D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	240	8-	(Q8xC15).21C2^2	480,1106
(Q₈×C₁₅).₂₂C₂² = SD₁₆⋊D₁₅	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	240	4-	(Q8xC15).22C2^2	480,880
(Q₈×C₁₅).₂₃C₂² = D₄.₅D₃₀	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	240	4	(Q8xC15).23C2^2	480,881
(Q₈×C₁₅).₂₄C₂² = Q₁₆×D₁₅	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	240	4-	(Q8xC15).24C2^2	480,882
(Q₈×C₁₅).₂₅C₂² = Q₁₆⋊D₁₅	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	240	4	(Q8xC15).25C2^2	480,883
(Q₈×C₁₅).₂₆C₂² = D₁₂₀⋊₈C₂	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	240	4+	(Q8xC15).26C2^2	480,884
(Q₈×C₁₅).₂₇C₂² = C₃×SD₁₆⋊D₅	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	240	4	(Q8xC15).27C2^2	480,708
(Q₈×C₁₅).₂₈C₂² = C₃×SD₁₆⋊₃D₅	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	240	4	(Q8xC15).28C2^2	480,709
(Q₈×C₁₅).₂₉C₂² = C₃×D₅×Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	240	4	(Q8xC15).29C2^2	480,710
(Q₈×C₁₅).₃₀C₂² = C₃×Q₁₆⋊D₅	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	240	4	(Q8xC15).30C2^2	480,711
(Q₈×C₁₅).₃₁C₂² = C₃×Q₈.D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	240	4	(Q8xC15).31C2^2	480,712
(Q₈×C₁₅).₃₂C₂² = C₅×D₄.D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	240	4	(Q8xC15).32C2^2	480,794
(Q₈×C₁₅).₃₃C₂² = C₅×Q₈.₇D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	240	4	(Q8xC15).33C2^2	480,795
(Q₈×C₁₅).₃₄C₂² = C₅×S₃×Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	240	4	(Q8xC15).34C2^2	480,796
(Q₈×C₁₅).₃₅C₂² = C₅×Q₁₆⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	240	4	(Q8xC15).35C2^2	480,797
(Q₈×C₁₅).₃₆C₂² = C₅×D₂₄⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₅	240	4	(Q8xC15).36C2^2	480,798
(Q₈×C₁₅).₃₇C₂² = Q₈.₁₁D₃₀	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₅	240	4	(Q8xC15).37C2^2	480,907
(Q₈×C₁₅).₃₈C₂² = C₂×C₁₅⋊₇Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₅	480		(Q8xC15).38C2^2	480,908
(Q₈×C₁₅).₃₉C₂² = D₄.₈D₃₀	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₅	240	4	(Q8xC15).39C2^2	480,915
(Q₈×C₁₅).₄₀C₂² = D₄.₉D₃₀	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₅	240	4-	(Q8xC15).40C2^2	480,916
(Q₈×C₁₅).₄₁C₂² = Q₈.₁₅D₃₀	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₅	240	4	(Q8xC15).41C2^2	480,1174
(Q₈×C₁₅).₄₂C₂² = D₄.₁₀D₃₀	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₅	240	4-	(Q8xC15).42C2^2	480,1177
(Q₈×C₁₅).₄₃C₂² = C₃×C₂₀.C₂³	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₅	240	4	(Q8xC15).43C2^2	480,735
(Q₈×C₁₅).₄₄C₂² = C₆×C₅⋊Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₅	480		(Q8xC15).44C2^2	480,736
(Q₈×C₁₅).₄₅C₂² = C₃×D₄.₈D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₅	240	4	(Q8xC15).45C2^2	480,743
(Q₈×C₁₅).₄₆C₂² = C₃×D₄.₉D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₅	240	4	(Q8xC15).46C2^2	480,744
(Q₈×C₁₅).₄₇C₂² = C₃×Q₈.₁₀D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₅	240	4	(Q8xC15).47C2^2	480,1144
(Q₈×C₁₅).₄₈C₂² = C₃×D₄.₁₀D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₅	240	4	(Q8xC15).48C2^2	480,1147
(Q₈×C₁₅).₄₉C₂² = C₅×Q₈.₁₁D₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₅	240	4	(Q8xC15).49C2^2	480,821
(Q₈×C₁₅).₅₀C₂² = C₁₀×C₃⋊Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₅	480		(Q8xC15).50C2^2	480,822
(Q₈×C₁₅).₅₁C₂² = C₅×Q₈.₁₃D₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₅	240	4	(Q8xC15).51C2^2	480,829
(Q₈×C₁₅).₅₂C₂² = C₅×Q₈.₁₄D₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₅	240	4	(Q8xC15).52C2^2	480,830
(Q₈×C₁₅).₅₃C₂² = C₅×Q₈.₁₅D₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₅	240	4	(Q8xC15).53C2^2	480,1159
(Q₈×C₁₅).₅₄C₂² = C₅×Q₈○D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₅	240	4	(Q8xC15).54C2^2	480,1162
(Q₈×C₁₅).₅₅C₂² = Q₁₆×C₃₀	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₅	480		(Q8xC15).55C2^2	480,939
(Q₈×C₁₅).₅₆C₂² = C₁₅×C₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₅	240	2	(Q8xC15).56C2^2	480,940
(Q₈×C₁₅).₅₇C₂² = C₁₅×C₈.C₂²	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₅	240	4	(Q8xC15).57C2^2	480,942
(Q₈×C₁₅).₅₈C₂² = C₁₅×2_-¹⁺⁴	φ: trivial image	240	4	(Q8xC15).58C2^2	480,1185

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=Q8×C15 and Q=C22

Extensions 1→N→G→Q→1 with N=Q₈×C₁₅ and Q=C₂²