Extensions 1→N→G→Q→1 with N=C₄² and Q=C₈

Direct product G=N×Q with N=C₄² and Q=C₈

		d	ρ	Label	ID
C₄²×C₈		128		C4^2xC8	128,456

Semidirect products G=N:Q with N=C₄² and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄²⋊₁C₈ = C₄²⋊₁C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₄²	32		C4^2:1C8	128,6
C₄²⋊₂C₈ = C₄²⋊C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₄²	32		C4^2:2C8	128,56
C₄²⋊₃C₈ = C₄²⋊₃C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₄²	32		C4^2:3C8	128,57
C₄²⋊₄C₈ = C₄²⋊₄C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₄²	128		C4^2:4C8	128,476
C₄²⋊₅C₈ = C₄²⋊₅C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₄²	128		C4^2:5C8	128,571
C₄²⋊₆C₈ = C₄²⋊₆C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₄²	32		C4^2:6C8	128,8
C₄²⋊₇C₈ = C₄×C₄⋊C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₄²	128		C4^2:7C8	128,498
C₄²⋊₈C₈ = C₄²⋊₈C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₄²	128		C4^2:8C8	128,563
C₄²⋊₉C₈ = C₄²⋊₉C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₄²	128		C4^2:9C8	128,574

Non-split extensions G=N.Q with N=C₄² and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄².₁C₈ = C₄².C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₄²	16	4	C4^2.1C8	128,59
C₄².₂C₈ = C₄².₂C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₄²	32		C4^2.2C8	128,107
C₄².₃C₈ = C₃₂⋊C₄	φ: C₈/C₂ → C₄ ⊆ Aut C₄²	32	4	C4^2.3C8	128,130
C₄².₄C₈ = C₃₂⋊₅C₄	φ: C₈/C₄ → C₂ ⊆ Aut C₄²	128		C4^2.4C8	128,129
C₄².₅C₈ = C₂×C₁₆⋊₅C₄	φ: C₈/C₄ → C₂ ⊆ Aut C₄²	128		C4^2.5C8	128,838
C₄².₆C₈ = C₄².₆C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₄²	64		C4^2.6C8	128,895
C₄².₇C₈ = C₄².₇C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₄²	32		C4^2.7C8	128,108
C₄².₈C₈ = C₄⋊C₃₂	φ: C₈/C₄ → C₂ ⊆ Aut C₄²	128		C4^2.8C8	128,153
C₄².₉C₈ = C₈.C₁₆	φ: C₈/C₄ → C₂ ⊆ Aut C₄²	32	2	C4^2.9C8	128,154
C₄².₁₀C₈ = C₄×M₅(2)	φ: C₈/C₄ → C₂ ⊆ Aut C₄²	64		C4^2.10C8	128,839
C₄².₁₁C₈ = C₂×C₄⋊C₁₆	φ: C₈/C₄ → C₂ ⊆ Aut C₄²	128		C4^2.11C8	128,881
C₄².₁₂C₈ = C₄⋊M₅(2)	φ: C₈/C₄ → C₂ ⊆ Aut C₄²	64		C4^2.12C8	128,882
C₄².₁₃C₈ = C₄².₁₃C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₄²	64		C4^2.13C8	128,894

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