Extensions 1→N→G→Q→1 with N=C₄⋊C₄ and Q=C₆

Direct product G=N×Q with N=C₄⋊C₄ and Q=C₆

		d	ρ	Label	ID
C₆×C₄⋊C₄		96		C6xC4:C4	96,163

Semidirect products G=N:Q with N=C₄⋊C₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊C₄⋊₁C₆ = C₃×D₄⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₄⋊C₄	48		C4:C4:1C6	96,52
C₄⋊C₄⋊₂C₆ = C₃×C₄⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄⋊C₄	48		C4:C4:2C6	96,168
C₄⋊C₄⋊₃C₆ = C₃×C₂²⋊Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₄⋊C₄	48		C4:C4:3C6	96,169
C₄⋊C₄⋊₄C₆ = C₃×C₂².D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄⋊C₄	48		C4:C4:4C6	96,170
C₄⋊C₄⋊₅C₆ = C₃×C₄²⋊₂C₂	φ: C₆/C₃ → C₂ ⊆ Out C₄⋊C₄	48		C4:C4:5C6	96,173
C₄⋊C₄⋊₆C₆ = C₃×C₄²⋊C₂	φ: trivial image	48		C4:C4:6C6	96,164
C₄⋊C₄⋊₇C₆ = D₄×C₁₂	φ: trivial image	48		C4:C4:7C6	96,165

Non-split extensions G=N.Q with N=C₄⋊C₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊C₄.₁C₆ = C₃×Q₈⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₄⋊C₄	96		C4:C4.1C6	96,53
C₄⋊C₄.₂C₆ = C₃×C₄.Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₄⋊C₄	96		C4:C4.2C6	96,56
C₄⋊C₄.₃C₆ = C₃×C₂.D₈	φ: C₆/C₃ → C₂ ⊆ Out C₄⋊C₄	96		C4:C4.3C6	96,57
C₄⋊C₄.₄C₆ = C₃×C₄².C₂	φ: C₆/C₃ → C₂ ⊆ Out C₄⋊C₄	96		C4:C4.4C6	96,172
C₄⋊C₄.₅C₆ = C₃×C₄⋊Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₄⋊C₄	96		C4:C4.5C6	96,175
C₄⋊C₄.₆C₆ = Q₈×C₁₂	φ: trivial image	96		C4:C4.6C6	96,166

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