Extensions 1→N→G→Q→1 with N=C₂³ and Q=D₂₀

Direct product G=N×Q with N=C₂³ and Q=D₂₀

		d	ρ	Label	ID
C₂³×D₂₀		160		C2^3xD20	320,1610

Semidirect products G=N:Q with N=C₂³ and Q=D₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊D₂₀ = C₂³⋊D₂₀	φ: D₂₀/C₅ → D₄ ⊆ Aut C₂³	40	8+	C2^3:D20	320,368
C₂³⋊₂D₂₀ = C₂³⋊₂D₂₀	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₂³	160		C2^3:2D20	320,587
C₂³⋊₃D₂₀ = C₂³⋊₃D₂₀	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₂³	80		C2^3:3D20	320,1165
C₂³⋊₄D₂₀ = C₂×C₂₀⋊₇D₄	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₂³	160		C2^3:4D20	320,1462
C₂³⋊₅D₂₀ = C₂×C₂²⋊D₂₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂³	80		C2^3:5D20	320,1159

Non-split extensions G=N.Q with N=C₂³ and Q=D₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.₁D₂₀ = C₂³.D₂₀	φ: D₂₀/C₅ → D₄ ⊆ Aut C₂³	80	8-	C2^3.1D20	320,31
C₂³.₂D₂₀ = C₂³.₂D₂₀	φ: D₂₀/C₅ → D₄ ⊆ Aut C₂³	40	8+	C2^3.2D20	320,32
C₂³.₃D₂₀ = C₂³.₃D₂₀	φ: D₂₀/C₅ → D₄ ⊆ Aut C₂³	40	8+	C2^3.3D20	320,33
C₂³.₄D₂₀ = C₂³.₄D₂₀	φ: D₂₀/C₅ → D₄ ⊆ Aut C₂³	80	8-	C2^3.4D20	320,34
C₂³.₅D₂₀ = C₂³.₅D₂₀	φ: D₂₀/C₅ → D₄ ⊆ Aut C₂³	80	8-	C2^3.5D20	320,369
C₂³.₆D₂₀ = D₂₀.₁D₄	φ: D₂₀/C₅ → D₄ ⊆ Aut C₂³	80	8-	C2^3.6D20	320,373
C₂³.₇D₂₀ = D₂₀⋊₁D₄	φ: D₂₀/C₅ → D₄ ⊆ Aut C₂³	40	8+	C2^3.7D20	320,374
C₂³.₈D₂₀ = C₂⁴.D₁₀	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₂³	80		C2^3.8D20	320,84
C₂³.₉D₂₀ = C₂³.₉D₂₀	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₂³	80	4	C2^3.9D20	320,115
C₂³.₁₀D₂₀ = C₂³.₁₀D₂₀	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₂³	160		C2^3.10D20	320,350
C₂³.₁₁D₂₀ = D₂₀.₃₂D₄	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₂³	160		C2^3.11D20	320,360
C₂³.₁₂D₂₀ = D₂₀⋊₁₄D₄	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₂³	160		C2^3.12D20	320,361
C₂³.₁₃D₂₀ = C₂³.₁₃D₂₀	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₂³	160		C2^3.13D20	320,364
C₂³.₁₄D₂₀ = C₂³.₁₄D₂₀	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₂³	160		C2^3.14D20	320,580
C₂³.₁₅D₂₀ = C₂×C₂³.₁D₁₀	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₂³	80		C2^3.15D20	320,581
C₂³.₁₆D₂₀ = C₂⁴.₁₆D₁₀	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₂³	160		C2^3.16D20	320,588
C₂³.₁₇D₂₀ = C₄₀⋊₂D₄	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₂³	160		C2^3.17D20	320,761
C₂³.₁₈D₂₀ = C₄₀⋊₃D₄	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₂³	160		C2^3.18D20	320,762
C₂³.₁₉D₂₀ = C₄₀.₄D₄	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₂³	160		C2^3.19D20	320,764
C₂³.₂₀D₂₀ = C₂³.₂₀D₂₀	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₂³	80	4	C2^3.20D20	320,766
C₂³.₂₁D₂₀ = C₄₀.₉C₂³	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₂³	80	4	C2^3.21D20	320,1420
C₂³.₂₂D₂₀ = C₂³.₂₂D₂₀	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₂³	160		C2^3.22D20	320,733
C₂³.₂₃D₂₀ = C₂³.₂₃D₂₀	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₂³	160		C2^3.23D20	320,740
C₂³.₂₄D₂₀ = C₄₀⋊₃₀D₄	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₂³	160		C2^3.24D20	320,741
C₂³.₂₅D₂₀ = C₄₀⋊₂₉D₄	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₂³	160		C2^3.25D20	320,742
C₂³.₂₆D₂₀ = C₄₀.₈₂D₄	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₂³	160		C2^3.26D20	320,743
C₂³.₂₇D₂₀ = C₂⁴.₆₄D₁₀	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₂³	160		C2^3.27D20	320,839
C₂³.₂₈D₂₀ = C₂⁴.₆₅D₁₀	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₂³	160		C2^3.28D20	320,840
C₂³.₂₉D₂₀ = C₂×D₄₀⋊₇C₂	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₂³	160		C2^3.29D20	320,1413
C₂³.₃₀D₂₀ = C₂³.₃₀D₂₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂³	80		C2^3.30D20	320,25
C₂³.₃₁D₂₀ = C₂².₂D₄₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂³	80		C2^3.31D20	320,28
C₂³.₃₂D₂₀ = C₂⁴.₂D₁₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂³	80		C2^3.32D20	320,85
C₂³.₃₃D₂₀ = C₂₀.₃₃C₄²	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂³	80		C2^3.33D20	320,113
C₂³.₃₄D₂₀ = C₂³.₃₄D₂₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂³	160		C2^3.34D20	320,348
C₂³.₃₅D₂₀ = C₂³.₃₅D₂₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂³	160		C2^3.35D20	320,349
C₂³.₃₆D₂₀ = D₂₀.₃₁D₄	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂³	80		C2^3.36D20	320,358
C₂³.₃₇D₂₀ = D₂₀⋊₁₃D₄	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂³	80		C2^3.37D20	320,359
C₂³.₃₈D₂₀ = C₂³.₃₈D₂₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂³	160		C2^3.38D20	320,362
C₂³.₃₉D₂₀ = C₂².D₄₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂³	160		C2^3.39D20	320,363
C₂³.₄₀D₂₀ = Dic₁₀⋊₁₄D₄	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂³	160		C2^3.40D20	320,365
C₂³.₄₁D₂₀ = C₂²⋊Dic₂₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂³	160		C2^3.41D20	320,366
C₂³.₄₂D₂₀ = C₂³.₄₂D₂₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂³	160		C2^3.42D20	320,570
C₂³.₄₃D₂₀ = C₂⁴.₄₇D₁₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂³	160		C2^3.43D20	320,577
C₂³.₄₄D₂₀ = C₂⁴.₄₈D₁₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂³	80		C2^3.44D20	320,582
C₂³.₄₅D₂₀ = C₂³.₄₅D₂₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂³	160		C2^3.45D20	320,585
C₂³.₄₆D₂₀ = C₂³.₄₆D₂₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂³	160		C2^3.46D20	320,747
C₂³.₄₇D₂₀ = C₂³.₄₇D₂₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂³	160		C2^3.47D20	320,748
C₂³.₄₈D₂₀ = C₂³.₄₈D₂₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂³	80		C2^3.48D20	320,758
C₂³.₄₉D₂₀ = C₂³.₄₉D₂₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂³	160		C2^3.49D20	320,760
C₂³.₅₀D₂₀ = C₂×D₂₀⋊₇C₄	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂³	80		C2^3.50D20	320,765
C₂³.₅₁D₂₀ = C₂×C₂².D₂₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂³	160		C2^3.51D20	320,1164
C₂³.₅₂D₂₀ = C₂×C₈⋊D₁₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂³	80		C2^3.52D20	320,1418
C₂³.₅₃D₂₀ = C₂×C₈.D₁₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂³	160		C2^3.53D20	320,1419
C₂³.₅₄D₂₀ = C₂₀.₃₉C₄²	central extension (φ=1)	320		C2^3.54D20	320,109
C₂³.₅₅D₂₀ = C₂×C₂₀.₄₄D₄	central extension (φ=1)	320		C2^3.55D20	320,730
C₂³.₅₆D₂₀ = C₂×C₄₀⋊₆C₄	central extension (φ=1)	320		C2^3.56D20	320,731
C₂³.₅₇D₂₀ = C₂×C₄₀⋊₅C₄	central extension (φ=1)	320		C2^3.57D20	320,732
C₂³.₅₈D₂₀ = C₂×D₂₀⋊₅C₄	central extension (φ=1)	160		C2^3.58D20	320,739
C₂³.₅₉D₂₀ = C₂×C₁₀.₁₀C₄²	central extension (φ=1)	320		C2^3.59D20	320,835
C₂³.₆₀D₂₀ = C₂²×C₄₀⋊C₂	central extension (φ=1)	160		C2^3.60D20	320,1411
C₂³.₆₁D₂₀ = C₂²×D₄₀	central extension (φ=1)	160		C2^3.61D20	320,1412
C₂³.₆₂D₂₀ = C₂²×Dic₂₀	central extension (φ=1)	320		C2^3.62D20	320,1414
C₂³.₆₃D₂₀ = C₂²×C₄⋊Dic₅	central extension (φ=1)	320		C2^3.63D20	320,1457
C₂³.₆₄D₂₀ = C₂²×D₁₀⋊C₄	central extension (φ=1)	160		C2^3.64D20	320,1459

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Extensions 1→N→G→Q→1 with N=C23 and Q=D20

Extensions 1→N→G→Q→1 with N=C₂³ and Q=D₂₀