Extensions 1→N→G→Q→1 with N=C₁₂ and Q=D₂₀

Direct product G=N×Q with N=C₁₂ and Q=D₂₀

		d	ρ	Label	ID
C₁₂×D₂₀		240		C12xD20	480,666

Semidirect products G=N:Q with N=C₁₂ and Q=D₂₀

extension	φ:Q→Aut N	d	Label	ID
C₁₂⋊₁D₂₀ = C₁₂⋊D₂₀	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₁₂	240	C12:1D20	480,534
C₁₂⋊₂D₂₀ = C₁₂⋊₂D₂₀	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₁₂	240	C12:2D20	480,541
C₁₂⋊₃D₂₀ = C₄⋊D₆₀	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₁₂	240	C12:3D20	480,860
C₁₂⋊₄D₂₀ = C₄²⋊₆D₁₅	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₁₂	240	C12:4D20	480,839
C₁₂⋊₅D₂₀ = C₄×D₆₀	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₁₂	240	C12:5D20	480,838
C₁₂⋊₆D₂₀ = C₃×C₂₀⋊₄D₄	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₁₂	240	C12:6D20	480,667
C₁₂⋊₇D₂₀ = C₁₂⋊₇D₂₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₁₂	240	C12:7D20	480,526
C₁₂⋊₈D₂₀ = C₄×C₃⋊D₂₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₁₂	240	C12:8D20	480,519
C₁₂⋊₉D₂₀ = C₃×C₄⋊D₂₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₁₂	240	C12:9D20	480,688

Non-split extensions G=N.Q with N=C₁₂ and Q=D₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁D₂₀ = C₃⋊D₈₀	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₁₂	240	4+	C12.1D20	480,14
C₁₂.₂D₂₀ = D₄₀.S₃	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₁₂	240	4-	C12.2D20	480,18
C₁₂.₃D₂₀ = C₂₄.D₁₀	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₁₂	240	4+	C12.3D20	480,19
C₁₂.₄D₂₀ = C₃⋊Dic₄₀	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₁₂	480	4-	C12.4D20	480,23
C₁₂.₅D₂₀ = C₆₀.₂₈D₄	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₁₂	120	4	C12.5D20	480,34
C₁₂.₆D₂₀ = C₁₂.₆D₂₀	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₁₂	240	4	C12.6D20	480,37
C₁₂.₇D₂₀ = C₃₀.D₈	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₁₂	240		C12.7D20	480,40
C₁₂.₈D₂₀ = C₃₀.Q₁₆	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₁₂	480		C12.8D20	480,46
C₁₂.₉D₂₀ = D₆₀⋊₉C₄	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₁₂	240		C12.9D20	480,169
C₁₂.₁₀D₂₀ = Dic₃₀⋊₉C₄	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₁₂	480		C12.10D20	480,170
C₁₂.₁₁D₂₀ = M₄(2)⋊D₁₅	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₁₂	120	4+	C12.11D20	480,183
C₁₂.₁₂D₂₀ = C₄.D₆₀	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₁₂	240	4-	C12.12D20	480,184
C₁₂.₁₃D₂₀ = C₂×C₃⋊D₄₀	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₁₂	240		C12.13D20	480,376
C₁₂.₁₄D₂₀ = C₂×C₆.D₂₀	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₁₂	240		C12.14D20	480,386
C₁₂.₁₅D₂₀ = D₆₀⋊₃₀C₂²	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₁₂	120	4	C12.15D20	480,388
C₁₂.₁₆D₂₀ = C₂×C₁₅⋊SD₁₆	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₁₂	240		C12.16D20	480,390
C₁₂.₁₇D₂₀ = C₁₂.D₂₀	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₁₂	240	4	C12.17D20	480,391
C₁₂.₁₈D₂₀ = C₂×C₃⋊Dic₂₀	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₁₂	480		C12.18D20	480,395
C₁₂.₁₉D₂₀ = C₆₀.₄₄D₄	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₁₂	240		C12.19D20	480,440
C₁₂.₂₀D₂₀ = C₆₀.₄₇D₄	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₁₂	240		C12.20D20	480,450
C₁₂.₂₁D₂₀ = C₆₀.₄₈D₄	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₁₂	480		C12.21D20	480,465
C₁₂.₂₂D₂₀ = D₃₀⋊₁₀Q₈	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₁₂	240		C12.22D20	480,466
C₁₂.₂₃D₂₀ = D₃₀⋊₆Q₈	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₁₂	240		C12.23D20	480,862
C₁₂.₂₄D₂₀ = C₈⋊D₃₀	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₁₂	120	4+	C12.24D20	480,873
C₁₂.₂₅D₂₀ = C₈.D₃₀	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₁₂	240	4-	C12.25D20	480,874
C₁₂.₂₆D₂₀ = D₂₄₀	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₁₂	240	2+	C12.26D20	480,159
C₁₂.₂₇D₂₀ = C₄₈⋊D₅	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₁₂	240	2	C12.27D20	480,160
C₁₂.₂₈D₂₀ = Dic₁₂₀	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₁₂	480	2-	C12.28D20	480,161
C₁₂.₂₉D₂₀ = C₆₀⋊₈Q₈	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₁₂	480		C12.29D20	480,834
C₁₂.₃₀D₂₀ = C₄²⋊₇D₁₅	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₁₂	240		C12.30D20	480,840
C₁₂.₃₁D₂₀ = C₂×C₂₄⋊D₅	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₁₂	240		C12.31D20	480,867
C₁₂.₃₂D₂₀ = C₂×D₁₂₀	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₁₂	240		C12.32D20	480,868
C₁₂.₃₃D₂₀ = C₂×Dic₆₀	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₁₂	480		C12.33D20	480,870
C₁₂.₃₄D₂₀ = C₆₀⋊₅C₈	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₁₂	480		C12.34D20	480,164
C₁₂.₃₅D₂₀ = D₆₀⋊₇C₄	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₁₂	120	2	C12.35D20	480,165
C₁₂.₃₆D₂₀ = C₄.₁₈D₆₀	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₁₂	240	2	C12.36D20	480,179
C₁₂.₃₇D₂₀ = D₃₀⋊₃C₈	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₁₂	240		C12.37D20	480,180
C₁₂.₃₈D₂₀ = C₄₀.₆₉D₆	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₁₂	240	2	C12.38D20	480,869
C₁₂.₃₉D₂₀ = C₃×D₈₀	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₁₂	240	2	C12.39D20	480,77
C₁₂.₄₀D₂₀ = C₃×C₁₆⋊D₅	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₁₂	240	2	C12.40D20	480,78
C₁₂.₄₁D₂₀ = C₃×Dic₄₀	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₁₂	480	2	C12.41D20	480,79
C₁₂.₄₂D₂₀ = C₃×C₂₀⋊₂Q₈	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₁₂	480		C12.42D20	480,662
C₁₂.₄₃D₂₀ = C₃×C₄.D₂₀	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₁₂	240		C12.43D20	480,668
C₁₂.₄₄D₂₀ = C₆×C₄₀⋊C₂	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₁₂	240		C12.44D20	480,695
C₁₂.₄₅D₂₀ = C₆×D₄₀	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₁₂	240		C12.45D20	480,696
C₁₂.₄₆D₂₀ = C₆×Dic₂₀	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₁₂	480		C12.46D20	480,698
C₁₂.₄₇D₂₀ = C₆₀.₂₉D₄	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₁₂	120	4+	C12.47D20	480,36
C₁₂.₄₈D₂₀ = C₆₀.₃₁D₄	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₁₂	240	4-	C12.48D20	480,39
C₁₂.₄₉D₂₀ = D₆₀⋊₁₅C₄	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₁₂	240		C12.49D20	480,45
C₁₂.₅₀D₂₀ = Dic₃₀⋊₁₅C₄	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₁₂	480		C12.50D20	480,51
C₁₂.₅₁D₂₀ = D₂₀⋊₁₉D₆	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₁₂	120	4+	C12.51D20	480,377
C₁₂.₅₂D₂₀ = C₆₀.₆₃D₄	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₁₂	240	4-	C12.52D20	480,389
C₁₂.₅₃D₂₀ = C₆₀.₆₈D₄	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₁₂	240		C12.53D20	480,436
C₁₂.₅₄D₂₀ = C₆₀.₉₃D₄	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₁₂	240		C12.54D20	480,31
C₁₂.₅₅D₂₀ = D₃₀⋊₄C₈	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₁₂	240		C12.55D20	480,33
C₁₂.₅₆D₂₀ = C₆₀.₉₇D₄	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₁₂	120	4	C12.56D20	480,53
C₁₂.₅₇D₂₀ = D₆₀⋊₁₃C₄	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₁₂	120	4	C12.57D20	480,56
C₁₂.₅₈D₂₀ = C₆₀.₁₅Q₈	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₁₂	480		C12.58D20	480,60
C₁₂.₅₉D₂₀ = C₁₂.₅₉D₂₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₁₂	240	4	C12.59D20	480,69
C₁₂.₆₀D₂₀ = D₂₀.₃₁D₆	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₁₂	240	4	C12.60D20	480,387
C₁₂.₆₁D₂₀ = C₃×D₂₀⋊₆C₄	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₁₂	240		C12.61D20	480,87
C₁₂.₆₂D₂₀ = C₃×C₁₀.Q₁₆	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₁₂	480		C12.62D20	480,88
C₁₂.₆₃D₂₀ = C₃×C₂₀.₄₆D₄	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₁₂	120	4	C12.63D20	480,101
C₁₂.₆₄D₂₀ = C₃×C₄.₁₂D₂₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₁₂	240	4	C12.64D20	480,102
C₁₂.₆₅D₂₀ = C₃×D₁₀⋊₂Q₈	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₁₂	240		C12.65D20	480,690
C₁₂.₆₆D₂₀ = C₃×C₈⋊D₁₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₁₂	120	4	C12.66D20	480,701
C₁₂.₆₇D₂₀ = C₃×C₈.D₁₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₁₂	240	4	C12.67D20	480,702
C₁₂.₆₈D₂₀ = C₃×C₂₀⋊₃C₈	central extension (φ=1)	480		C12.68D20	480,82
C₁₂.₆₉D₂₀ = C₃×D₂₀⋊₄C₄	central extension (φ=1)	120	2	C12.69D20	480,83
C₁₂.₇₀D₂₀ = C₃×C₄₀.₆C₄	central extension (φ=1)	240	2	C12.70D20	480,97
C₁₂.₇₁D₂₀ = C₃×D₁₀⋊₁C₈	central extension (φ=1)	240		C12.71D20	480,98
C₁₂.₇₂D₂₀ = C₃×D₄₀⋊₇C₂	central extension (φ=1)	240	2	C12.72D20	480,697

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Extensions 1→N→G→Q→1 with N=C12 and Q=D20

Extensions 1→N→G→Q→1 with N=C₁₂ and Q=D₂₀