Extensions 1→N→G→Q→1 with N=C₂²≀C₂ and Q=C₆

Direct product G=N×Q with N=C₂²≀C₂ and Q=C₆

		d	ρ	Label	ID
C₆×C₂²≀C₂		48		C6xC2^2wrC2	192,1410

Semidirect products G=N:Q with N=C₂²≀C₂ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²≀C₂⋊C₆ = C₂⁴⋊A₄	φ: C₆/C₁ → C₆ ⊆ Out C₂²≀C₂	16	12+	C2^2wrC2:C6	192,1009
C₂²≀C₂⋊₂C₆ = C₂×C₂⁴⋊C₆	φ: C₆/C₂ → C₃ ⊆ Out C₂²≀C₂	12	6+	C2^2wrC2:2C6	192,1000
C₂²≀C₂⋊₃C₆ = C₃×C₂≀C₂²	φ: C₆/C₃ → C₂ ⊆ Out C₂²≀C₂	24	4	C2^2wrC2:3C6	192,890
C₂²≀C₂⋊₄C₆ = C₃×C₂³⋊₃D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²≀C₂	48		C2^2wrC2:4C6	192,1423
C₂²≀C₂⋊₅C₆ = C₃×C₂².₂₉C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₂²≀C₂	48		C2^2wrC2:5C6	192,1424
C₂²≀C₂⋊₆C₆ = C₃×C₂².₃₂C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₂²≀C₂	48		C2^2wrC2:6C6	192,1427
C₂²≀C₂⋊₇C₆ = C₃×D₄²	φ: C₆/C₃ → C₂ ⊆ Out C₂²≀C₂	48		C2^2wrC2:7C6	192,1434
C₂²≀C₂⋊₈C₆ = C₃×D₄⋊₅D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²≀C₂	48		C2^2wrC2:8C6	192,1435
C₂²≀C₂⋊₉C₆ = C₃×C₂².₅₄C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₂²≀C₂	48		C2^2wrC2:9C6	192,1449
C₂²≀C₂⋊₁₀C₆ = C₃×C₂⁴⋊C₂²	φ: C₆/C₃ → C₂ ⊆ Out C₂²≀C₂	48		C2^2wrC2:10C6	192,1450
C₂²≀C₂⋊₁₁C₆ = C₃×C₂².₁₉C₂⁴	φ: trivial image	48		C2^2wrC2:11C6	192,1414

Non-split extensions G=N.Q with N=C₂²≀C₂ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²≀C₂.₁C₆ = C₃×C₂≀C₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²≀C₂	24	4	C2^2wrC2.1C6	192,157
C₂²≀C₂.₂C₆ = C₃×C₂².₄₅C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₂²≀C₂	48		C2^2wrC2.2C6	192,1440

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