Extensions 1→N→G→Q→1 with N=C₁₂₀ and Q=C₂²

Direct product G=N×Q with N=C₁₂₀ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₁₂₀		480		C2^2xC120	480,934

Semidirect products G=N:Q with N=C₁₂₀ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂₀⋊₁C₂² = C₈⋊D₃₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	120	4+	C120:1C2^2	480,873
C₁₂₀⋊₂C₂² = S₃×D₄₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	120	4+	C120:2C2^2	480,328
C₁₂₀⋊₃C₂² = D₈×D₁₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	120	4+	C120:3C2^2	480,875
C₁₂₀⋊₄C₂² = Q₈⋊₃D₃₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	120	4+	C120:4C2^2	480,879
C₁₂₀⋊₅C₂² = D₅×D₂₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	120	4+	C120:5C2^2	480,324
C₁₂₀⋊₆C₂² = C₄₀⋊₁D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	120	4+	C120:6C2^2	480,329
C₁₂₀⋊₇C₂² = C₂₄⋊D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	120	4+	C120:7C2^2	480,325
C₁₂₀⋊₈C₂² = D₄₀⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	120	4	C120:8C2^2	480,330
C₁₂₀⋊₉C₂² = D₈⋊D₁₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	120	4	C120:9C2^2	480,876
C₁₂₀⋊₁₀C₂² = SD₁₆×D₁₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	120	4	C120:10C2^2	480,878
C₁₂₀⋊₁₁C₂² = D₂₄⋊D₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	120	4	C120:11C2^2	480,326
C₁₂₀⋊₁₂C₂² = S₃×C₄₀⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	120	4	C120:12C2^2	480,327
C₁₂₀⋊₁₃C₂² = D₅×C₂₄⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	120	4	C120:13C2^2	480,323
C₁₂₀⋊₁₄C₂² = C₄₀⋊₅D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	120	4	C120:14C2^2	480,332
C₁₂₀⋊₁₅C₂² = C₄₀⋊₈D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	120	4	C120:15C2^2	480,334
C₁₂₀⋊₁₆C₂² = C₃×C₈⋊D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	120	4	C120:16C2^2	480,701
C₁₂₀⋊₁₇C₂² = C₃×D₅×D₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	120	4	C120:17C2^2	480,703
C₁₂₀⋊₁₈C₂² = C₃×D₄₀⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	120	4	C120:18C2^2	480,707
C₁₂₀⋊₁₉C₂² = D₂₄⋊₆D₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	120	4	C120:19C2^2	480,333
C₁₂₀⋊₂₀C₂² = C₄₀⋊₁₄D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	120	4	C120:20C2^2	480,331
C₁₂₀⋊₂₁C₂² = S₃×C₈×D₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	120	4	C120:21C2^2	480,319
C₁₂₀⋊₂₂C₂² = D₅×C₈⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	120	4	C120:22C2^2	480,320
C₁₂₀⋊₂₃C₂² = S₃×C₈⋊D₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	120	4	C120:23C2^2	480,321
C₁₂₀⋊₂₄C₂² = C₄₀⋊D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	120	4	C120:24C2^2	480,322
C₁₂₀⋊₂₅C₂² = M₄(2)×D₁₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	120	4	C120:25C2^2	480,871
C₁₂₀⋊₂₆C₂² = C₅×C₈⋊D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	120	4	C120:26C2^2	480,787
C₁₂₀⋊₂₇C₂² = C₅×S₃×D₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	120	4	C120:27C2^2	480,789
C₁₂₀⋊₂₈C₂² = C₅×Q₈⋊₃D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	120	4	C120:28C2^2	480,793
C₁₂₀⋊₂₉C₂² = C₃×D₈⋊D₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	120	4	C120:29C2^2	480,704
C₁₂₀⋊₃₀C₂² = C₃×D₅×SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	120	4	C120:30C2^2	480,706
C₁₂₀⋊₃₁C₂² = C₅×D₈⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	120	4	C120:31C2^2	480,790
C₁₂₀⋊₃₂C₂² = C₅×S₃×SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	120	4	C120:32C2^2	480,792
C₁₂₀⋊₃₃C₂² = C₃×D₅×M₄(2)	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	120	4	C120:33C2^2	480,699
C₁₂₀⋊₃₄C₂² = C₁₅×C₈⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	120	4	C120:34C2^2	480,941
C₁₂₀⋊₃₅C₂² = C₅×S₃×M₄(2)	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	120	4	C120:35C2^2	480,785
C₁₂₀⋊₃₆C₂² = C₂×D₁₂₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	240		C120:36C2^2	480,868
C₁₂₀⋊₃₇C₂² = C₂×C₂₄⋊D₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	240		C120:37C2^2	480,867
C₁₂₀⋊₃₈C₂² = C₆×D₄₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	240		C120:38C2^2	480,696
C₁₂₀⋊₃₉C₂² = C₂×C₈×D₁₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	240		C120:39C2^2	480,864
C₁₂₀⋊₄₀C₂² = C₂×C₄₀⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	240		C120:40C2^2	480,865
C₁₂₀⋊₄₁C₂² = C₁₀×D₂₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	240		C120:41C2^2	480,782
C₁₂₀⋊₄₂C₂² = C₆×C₄₀⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	240		C120:42C2^2	480,695
C₁₂₀⋊₄₃C₂² = C₁₀×C₂₄⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	240		C120:43C2^2	480,781
C₁₂₀⋊₄₄C₂² = D₅×C₂×C₂₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	240		C120:44C2^2	480,692
C₁₂₀⋊₄₅C₂² = C₆×C₈⋊D₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	240		C120:45C2^2	480,693
C₁₂₀⋊₄₆C₂² = D₈×C₃₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	240		C120:46C2^2	480,937
C₁₂₀⋊₄₇C₂² = S₃×C₂×C₄₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	240		C120:47C2^2	480,778
C₁₂₀⋊₄₈C₂² = C₁₀×C₈⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	240		C120:48C2^2	480,779
C₁₂₀⋊₄₉C₂² = SD₁₆×C₃₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	240		C120:49C2^2	480,938
C₁₂₀⋊₅₀C₂² = M₄(2)×C₃₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	240		C120:50C2^2	480,935

Non-split extensions G=N.Q with N=C₁₂₀ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂₀.₁C₂² = C₈.D₃₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4-	C120.1C2^2	480,874
C₁₂₀.₂C₂² = C₃⋊D₈₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4+	C120.2C2^2	480,14
C₁₂₀.₃C₂² = D₄₀.S₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4-	C120.3C2^2	480,18
C₁₂₀.₄C₂² = C₂₄.D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4+	C120.4C2^2	480,19
C₁₂₀.₅C₂² = C₃⋊Dic₄₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	480	4-	C120.5C2^2	480,23
C₁₂₀.₆C₂² = S₃×Dic₂₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4-	C120.6C2^2	480,338
C₁₂₀.₇C₂² = D₄₀⋊₇S₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4-	C120.7C2^2	480,349
C₁₂₀.₈C₂² = D₁₂₀⋊₅C₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4+	C120.8C2^2	480,351
C₁₂₀.₉C₂² = C₁₅⋊₇D₁₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4+	C120.9C2^2	480,186
C₁₂₀.₁₀C₂² = D₈.D₁₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4-	C120.10C2^2	480,187
C₁₂₀.₁₁C₂² = C₈.₆D₃₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4+	C120.11C2^2	480,188
C₁₂₀.₁₂C₂² = C₁₅⋊₇Q₃₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	480	4-	C120.12C2^2	480,189
C₁₂₀.₁₃C₂² = D₈⋊₃D₁₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4-	C120.13C2^2	480,877
C₁₂₀.₁₄C₂² = Q₁₆×D₁₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4-	C120.14C2^2	480,882
C₁₂₀.₁₅C₂² = D₁₂₀⋊₈C₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4+	C120.15C2^2	480,884
C₁₂₀.₁₆C₂² = SD₁₆⋊D₁₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4-	C120.16C2^2	480,880
C₁₂₀.₁₇C₂² = C₅⋊D₄₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4+	C120.17C2^2	480,15
C₁₂₀.₁₈C₂² = D₂₄.D₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4-	C120.18C2^2	480,20
C₁₂₀.₁₉C₂² = Dic₁₂⋊D₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4+	C120.19C2^2	480,21
C₁₂₀.₂₀C₂² = C₅⋊Dic₂₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	480	4-	C120.20C2^2	480,24
C₁₂₀.₂₁C₂² = D₅×Dic₁₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4-	C120.21C2^2	480,335
C₁₂₀.₂₂C₂² = D₂₄⋊₇D₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4-	C120.22C2^2	480,346
C₁₂₀.₂₃C₂² = D₁₂₀⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4+	C120.23C2^2	480,347
C₁₂₀.₂₄C₂² = C₄₀.₂D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4-	C120.24C2^2	480,350
C₁₂₀.₂₅C₂² = Dic₆₀⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4-	C120.25C2^2	480,336
C₁₂₀.₂₆C₂² = Dic₂₀⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.26C2^2	480,339
C₁₂₀.₂₇C₂² = Q₁₆⋊D₁₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.27C2^2	480,883
C₁₂₀.₂₈C₂² = D₄.₅D₃₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.28C2^2	480,881
C₁₂₀.₂₉C₂² = C₂₄.₂D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.29C2^2	480,337
C₁₂₀.₃₀C₂² = D₆.₁D₂₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.30C2^2	480,348
C₁₂₀.₃₁C₂² = C₄₀.₃₁D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.31C2^2	480,345
C₁₂₀.₃₂C₂² = C₁₅⋊D₁₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.32C2^2	480,13
C₁₂₀.₃₃C₂² = C₄₀.D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.33C2^2	480,16
C₁₂₀.₃₄C₂² = C₁₅⋊SD₃₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.34C2^2	480,17
C₁₂₀.₃₅C₂² = C₁₅⋊Q₃₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	480	4	C120.35C2^2	480,22
C₁₂₀.₃₆C₂² = Dic₁₀.D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.36C2^2	480,340
C₁₂₀.₃₇C₂² = D₄₀⋊₅S₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.37C2^2	480,353
C₁₂₀.₃₈C₂² = D₂₄⋊₅D₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.38C2^2	480,355
C₁₂₀.₃₉C₂² = D₃₀.₄D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.39C2^2	480,356
C₁₂₀.₄₀C₂² = C₃×C₈.D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.40C2^2	480,702
C₁₂₀.₄₁C₂² = C₃×C₅⋊D₁₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.41C2^2	480,104
C₁₂₀.₄₂C₂² = C₃×D₈.D₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.42C2^2	480,105
C₁₂₀.₄₃C₂² = C₃×C₅⋊SD₃₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.43C2^2	480,106
C₁₂₀.₄₄C₂² = C₃×C₅⋊Q₃₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	480	4	C120.44C2^2	480,107
C₁₂₀.₄₅C₂² = C₃×D₈⋊₃D₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.45C2^2	480,705
C₁₂₀.₄₆C₂² = C₃×D₅×Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.46C2^2	480,710
C₁₂₀.₄₇C₂² = C₃×Q₈.D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.47C2^2	480,712
C₁₂₀.₄₈C₂² = C₃×SD₁₆⋊D₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.48C2^2	480,708
C₁₂₀.₄₉C₂² = D₃₀.₃D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.49C2^2	480,354
C₁₂₀.₅₀C₂² = Dic₆.D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.50C2^2	480,352
C₁₂₀.₅₁C₂² = D₅×C₃⋊C₁₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.51C2^2	480,7
C₁₂₀.₅₂C₂² = S₃×C₅⋊₂C₁₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.52C2^2	480,8
C₁₂₀.₅₃C₂² = D₁₅⋊₂C₁₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.53C2^2	480,9
C₁₂₀.₅₄C₂² = C₄₀.₅₁D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.54C2^2	480,10
C₁₂₀.₅₅C₂² = C₄₀.₅₂D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.55C2^2	480,11
C₁₂₀.₅₆C₂² = D₃₀.₅C₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.56C2^2	480,12
C₁₂₀.₅₇C₂² = C₄₀.₅₄D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.57C2^2	480,341
C₁₂₀.₅₈C₂² = C₄₀.₃₄D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.58C2^2	480,342
C₁₂₀.₅₉C₂² = C₄₀.₅₅D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.59C2^2	480,343
C₁₂₀.₆₀C₂² = C₄₀.₃₅D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.60C2^2	480,344
C₁₂₀.₆₁C₂² = D₆₀.₃C₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.61C2^2	480,872
C₁₂₀.₆₂C₂² = C₅×C₈.D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.62C2^2	480,788
C₁₂₀.₆₃C₂² = C₅×C₃⋊D₁₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.63C2^2	480,145
C₁₂₀.₆₄C₂² = C₅×D₈.S₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.64C2^2	480,146
C₁₂₀.₆₅C₂² = C₅×C₈.₆D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.65C2^2	480,147
C₁₂₀.₆₆C₂² = C₅×C₃⋊Q₃₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	480	4	C120.66C2^2	480,148
C₁₂₀.₆₇C₂² = C₅×D₈⋊₃S₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.67C2^2	480,791
C₁₂₀.₆₈C₂² = C₅×S₃×Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.68C2^2	480,796
C₁₂₀.₆₉C₂² = C₅×D₂₄⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.69C2^2	480,798
C₁₂₀.₇₀C₂² = C₅×D₄.D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.70C2^2	480,794
C₁₂₀.₇₁C₂² = C₃×Q₁₆⋊D₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.71C2^2	480,711
C₁₂₀.₇₂C₂² = C₃×SD₁₆⋊₃D₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.72C2^2	480,709
C₁₂₀.₇₃C₂² = C₅×Q₁₆⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.73C2^2	480,797
C₁₂₀.₇₄C₂² = C₅×Q₈.₇D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.74C2^2	480,795
C₁₂₀.₇₅C₂² = C₃×D₂₀.₂C₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.75C2^2	480,700
C₁₂₀.₇₆C₂² = C₁₅×C₈.C₂²	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.76C2^2	480,942
C₁₂₀.₇₇C₂² = C₅×D₁₂.C₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₀	240	4	C120.77C2^2	480,786
C₁₂₀.₇₈C₂² = D₂₄₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	240	2+	C120.78C2^2	480,159
C₁₂₀.₇₉C₂² = C₄₈⋊D₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	240	2	C120.79C2^2	480,160
C₁₂₀.₈₀C₂² = Dic₁₂₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	480	2-	C120.80C2^2	480,161
C₁₂₀.₈₁C₂² = C₄₀.₆₉D₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	240	2	C120.81C2^2	480,869
C₁₂₀.₈₂C₂² = C₂×Dic₆₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	480		C120.82C2^2	480,870
C₁₂₀.₈₃C₂² = C₃×D₈₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	240	2	C120.83C2^2	480,77
C₁₂₀.₈₄C₂² = C₃×C₁₆⋊D₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	240	2	C120.84C2^2	480,78
C₁₂₀.₈₅C₂² = C₃×Dic₄₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	480	2	C120.85C2^2	480,79
C₁₂₀.₈₆C₂² = C₃×D₄₀⋊₇C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	240	2	C120.86C2^2	480,697
C₁₂₀.₈₇C₂² = C₆×Dic₂₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	480		C120.87C2^2	480,698
C₁₂₀.₈₈C₂² = C₁₆×D₁₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	240	2	C120.88C2^2	480,157
C₁₂₀.₈₉C₂² = C₈₀⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	240	2	C120.89C2^2	480,158
C₁₂₀.₉₀C₂² = C₂×C₁₅⋊₃C₁₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	480		C120.90C2^2	480,171
C₁₂₀.₉₁C₂² = C₆₀.₇C₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	240	2	C120.91C2^2	480,172
C₁₂₀.₉₂C₂² = D₆₀.₆C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	240	2	C120.92C2^2	480,866
C₁₂₀.₉₃C₂² = C₅×D₄₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	240	2	C120.93C2^2	480,118
C₁₂₀.₉₄C₂² = C₅×C₄₈⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	240	2	C120.94C2^2	480,119
C₁₂₀.₉₅C₂² = C₅×Dic₂₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	480	2	C120.95C2^2	480,120
C₁₂₀.₉₆C₂² = C₅×C₄○D₂₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	240	2	C120.96C2^2	480,783
C₁₂₀.₉₇C₂² = C₁₀×Dic₁₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	480		C120.97C2^2	480,784
C₁₂₀.₉₈C₂² = D₅×C₄₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	240	2	C120.98C2^2	480,75
C₁₂₀.₉₉C₂² = C₃×C₈₀⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	240	2	C120.99C2^2	480,76
C₁₂₀.₁₀₀C₂² = C₆×C₅⋊₂C₁₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	480		C120.100C2^2	480,89
C₁₂₀.₁₀₁C₂² = C₃×C₂₀.₄C₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	240	2	C120.101C2^2	480,90
C₁₂₀.₁₀₂C₂² = C₃×D₂₀.₃C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	240	2	C120.102C2^2	480,694
C₁₂₀.₁₀₃C₂² = C₁₅×D₁₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	240	2	C120.103C2^2	480,214
C₁₂₀.₁₀₄C₂² = C₁₅×SD₃₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	240	2	C120.104C2^2	480,215
C₁₂₀.₁₀₅C₂² = C₁₅×Q₃₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	480	2	C120.105C2^2	480,216
C₁₂₀.₁₀₆C₂² = Q₁₆×C₃₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	480		C120.106C2^2	480,939
C₁₂₀.₁₀₇C₂² = S₃×C₈₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	240	2	C120.107C2^2	480,116
C₁₂₀.₁₀₈C₂² = C₅×D₆.C₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	240	2	C120.108C2^2	480,117
C₁₂₀.₁₀₉C₂² = C₁₀×C₃⋊C₁₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	480		C120.109C2^2	480,130
C₁₂₀.₁₁₀C₂² = C₅×C₁₂.C₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	240	2	C120.110C2^2	480,131
C₁₂₀.₁₁₁C₂² = C₅×C₈○D₁₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	240	2	C120.111C2^2	480,780
C₁₂₀.₁₁₂C₂² = C₁₅×C₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	240	2	C120.112C2^2	480,940
C₁₂₀.₁₁₃C₂² = C₁₅×C₈○D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₀	240	2	C120.113C2^2	480,936
C₁₂₀.₁₁₄C₂² = C₁₅×M₅(2)	central extension (φ=1)	240	2	C120.114C2^2	480,213

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Extensions 1→N→G→Q→1 with N=C120 and Q=C22

Extensions 1→N→G→Q→1 with N=C₁₂₀ and Q=C₂²