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

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

		d	ρ	Label	ID
C₂×C₄³		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 = C₄×C₄²⋊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 = C₄×C₄²⋊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 = C₄×C₄≀C₂	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 = D₄×C₄²	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 = C₄×C₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄³	64		C4^3:10C2	128,1035
C₄³⋊₁₁C₂ = C₄×C₄⋊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 = C₄×C₈⋊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 = C₄×C₄⋊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 = Q₈×C₄²	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 = C₄×C₄².C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄³	128		C4^3.13C2	128,1037
C₄³.₁₄C₂ = C₄×C₄⋊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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