Extensions 1→N→G→Q→1 with N=C₄³ and Q=C₂

Direct product G=NxQ with N=C₄³ and Q=C₂

		d	ρ	Label	ID
C₂xC₄³		128		C2xC4^3	128,997

Semidirect products G=N:Q with N=C₄³ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄³:₁C₂ = C₄xC₄²:C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄³	64		C4^3:1C2	128,1002
C₄³:₂C₂ = C₄³:₂C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄³	64		C4^3:2C2	128,1030
C₄³:₃C₂ = C₄xC₄²:₂C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄³	64		C4^3:3C2	128,1036
C₄³:₄C₂ = C₄³:₄C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄³	64		C4^3:4C2	128,1597
C₄³:₅C₂ = C₄³:₅C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄³	64		C4^3:5C2	128,1598
C₄³:₆C₂ = C₄xC₄wrC₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄³	32		C4^3:6C2	128,490
C₄³:₇C₂ = C₄³:C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄³	32		C4^3:7C2	128,694
C₄³:₈C₂ = D₄xC₄²	φ: C₂/C₁ → C₂ ⊆ Aut C₄³	64		C4^3:8C2	128,1003
C₄³:₉C₂ = C₄³:₉C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄³	64		C4^3:9C2	128,1025
C₄³:₁₀C₂ = C₄xC₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄³	64		C4^3:10C2	128,1035
C₄³:₁₁C₂ = C₄xC₄:₁D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄³	64		C4^3:11C2	128,1038
C₄³:₁₂C₂ = C₄³:₁₂C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄³	64		C4^3:12C2	128,1590
C₄³:₁₃C₂ = C₄³:₁₃C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄³	64		C4^3:13C2	128,1592
C₄³:₁₄C₂ = C₄³:₁₄C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄³	64		C4^3:14C2	128,1593
C₄³:₁₅C₂ = C₄³:₁₅C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄³	64		C4^3:15C2	128,1599

Non-split extensions G=N.Q with N=C₄³ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄³.₁C₂ = C₄xC₈:C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄³	128		C4^3.1C2	128,457
C₄³.₂C₂ = C₄²:₄C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄³	128		C4^3.2C2	128,476
C₄³.₃C₂ = C₄³.C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄³	128		C4^3.3C2	128,477
C₄³.₄C₂ = C₄²:₅C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄³	128		C4^3.4C2	128,571
C₄³.₅C₂ = C₄²:₆C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄³	32		C4^3.5C2	128,8
C₄³.₆C₂ = C₄xC₄:C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄³	128		C4^3.6C2	128,498
C₄³.₇C₂ = C₄³.₇C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄³	128		C4^3.7C2	128,499
C₄³.₈C₂ = C₄²:₈C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄³	128		C4^3.8C2	128,563
C₄³.₉C₂ = C₄²:₉C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄³	128		C4^3.9C2	128,574
C₄³.₁₀C₂ = C₄²:₁₆Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄³	32		C4^3.10C2	128,726
C₄³.₁₁C₂ = Q₈xC₄²	φ: C₂/C₁ → C₂ ⊆ Aut C₄³	128		C4^3.11C2	128,1004
C₄³.₁₂C₂ = C₄²:₁₄Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄³	128		C4^3.12C2	128,1027
C₄³.₁₃C₂ = C₄xC₄².C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄³	128		C4^3.13C2	128,1037
C₄³.₁₄C₂ = C₄xC₄:Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄³	128		C4^3.14C2	128,1039
C₄³.₁₅C₂ = C₄³.₁₅C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄³	128		C4^3.15C2	128,1591
C₄³.₁₆C₂ = C₄²:₁₈Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄³	128		C4^3.16C2	128,1594
C₄³.₁₇C₂ = C₄²:₁₅Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄³	128		C4^3.17C2	128,1595
C₄³.₁₈C₂ = C₄³.₁₈C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄³	128		C4^3.18C2	128,1596
C₄³.₁₉C₂ = C₄²:₁₉Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄³	128		C4^3.19C2	128,1600

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