Extensions 1→N→G→Q→1 with N=C₈₀ and Q=C₂²

Direct product G=N×Q with N=C₈₀ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₈₀		320		C2^2xC80	320,1003

Semidirect products G=N:Q with N=C₈₀ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈₀⋊₁C₂² = D₈₀⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₈₀	80	4+	C80:1C2^2	320,535
C₈₀⋊₂C₂² = D₅×D₁₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₈₀	80	4+	C80:2C2^2	320,537
C₈₀⋊₃C₂² = C₁₆⋊D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₈₀	80	4+	C80:3C2^2	320,541
C₈₀⋊₄C₂² = D₁₆⋊D₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₈₀	80	4	C80:4C2^2	320,538
C₈₀⋊₅C₂² = D₅×SD₃₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₈₀	80	4	C80:5C2^2	320,540
C₈₀⋊₆C₂² = C₅×C₁₆⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Aut C₈₀	80	4	C80:6C2^2	320,1010
C₈₀⋊₇C₂² = D₅×M₅(2)	φ: C₂²/C₁ → C₂² ⊆ Aut C₈₀	80	4	C80:7C2^2	320,533
C₈₀⋊₈C₂² = C₂×D₈₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₀	160		C80:8C2^2	320,529
C₈₀⋊₉C₂² = C₂×C₁₆⋊D₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₀	160		C80:9C2^2	320,530
C₈₀⋊₁₀C₂² = C₁₀×D₁₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₀	160		C80:10C2^2	320,1006
C₈₀⋊₁₁C₂² = D₅×C₂×C₁₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₀	160		C80:11C2^2	320,526
C₈₀⋊₁₂C₂² = C₂×C₈₀⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₀	160		C80:12C2^2	320,527
C₈₀⋊₁₃C₂² = C₁₀×SD₃₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₀	160		C80:13C2^2	320,1007
C₈₀⋊₁₄C₂² = C₁₀×M₅(2)	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₀	160		C80:14C2^2	320,1004

Non-split extensions G=N.Q with N=C₈₀ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈₀.₁C₂² = C₁₆.D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₈₀	160	4-	C80.1C2^2	320,536
C₈₀.₂C₂² = C₅⋊D₃₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₈₀	160	4+	C80.2C2^2	320,77
C₈₀.₃C₂² = D₁₆.D₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₈₀	160	4-	C80.3C2^2	320,78
C₈₀.₄C₂² = C₅⋊SD₆₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₈₀	160	4+	C80.4C2^2	320,79
C₈₀.₅C₂² = C₅⋊Q₆₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₈₀	320	4-	C80.5C2^2	320,80
C₈₀.₆C₂² = D₁₆⋊₃D₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₈₀	160	4-	C80.6C2^2	320,539
C₈₀.₇C₂² = D₅×Q₃₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₈₀	160	4-	C80.7C2^2	320,544
C₈₀.₈C₂² = D₈₀⋊₅C₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₈₀	160	4+	C80.8C2^2	320,546
C₈₀.₉C₂² = SD₃₂⋊D₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₈₀	160	4-	C80.9C2^2	320,542
C₈₀.₁₀C₂² = Q₃₂⋊D₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₈₀	160	4	C80.10C2^2	320,545
C₈₀.₁₁C₂² = SD₃₂⋊₃D₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₈₀	160	4	C80.11C2^2	320,543
C₈₀.₁₂C₂² = C₅×Q₃₂⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₈₀	160	4	C80.12C2^2	320,1011
C₈₀.₁₃C₂² = D₂₀.₅C₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₈₀	160	4	C80.13C2^2	320,534
C₈₀.₁₄C₂² = D₁₆₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₀	160	2+	C80.14C2^2	320,6
C₈₀.₁₅C₂² = C₁₆₀⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₀	160	2	C80.15C2^2	320,7
C₈₀.₁₆C₂² = Dic₈₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₀	320	2-	C80.16C2^2	320,8
C₈₀.₁₇C₂² = C₂×Dic₄₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₀	320		C80.17C2^2	320,532
C₈₀.₁₈C₂² = D₈₀⋊₇C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₀	160	2	C80.18C2^2	320,531
C₈₀.₁₉C₂² = C₅×D₃₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₀	160	2	C80.19C2^2	320,176
C₈₀.₂₀C₂² = C₅×SD₆₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₀	160	2	C80.20C2^2	320,177
C₈₀.₂₁C₂² = C₅×Q₆₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₀	320	2	C80.21C2^2	320,178
C₈₀.₂₂C₂² = C₁₀×Q₃₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₀	320		C80.22C2^2	320,1008
C₈₀.₂₃C₂² = C₅×C₄○D₁₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₀	160	2	C80.23C2^2	320,1009
C₈₀.₂₄C₂² = D₅×C₃₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₀	160	2	C80.24C2^2	320,4
C₈₀.₂₅C₂² = C₃₂⋊D₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₀	160	2	C80.25C2^2	320,5
C₈₀.₂₆C₂² = C₂×C₅⋊₂C₃₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₀	320		C80.26C2^2	320,56
C₈₀.₂₇C₂² = C₈₀.₉C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₀	160	2	C80.27C2^2	320,57
C₈₀.₂₈C₂² = D₂₀.₆C₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₀	160	2	C80.28C2^2	320,528
C₈₀.₂₉C₂² = C₅×D₄○C₁₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₀	160	2	C80.29C2^2	320,1005
C₈₀.₃₀C₂² = C₅×M₆(2)	central extension (φ=1)	160	2	C80.30C2^2	320,175

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Extensions 1→N→G→Q→1 with N=C80 and Q=C22

Extensions 1→N→G→Q→1 with N=C₈₀ and Q=C₂²