Extensions 1→N→G→Q→1 with N=C₄²⋊₂C₂ and Q=C₆

Direct product G=N×Q with N=C₄²⋊₂C₂ and Q=C₆

		d	ρ	Label	ID
C₆×C₄²⋊₂C₂		96		C6xC4^2:2C2	192,1417

Semidirect products G=N:Q with N=C₄²⋊₂C₂ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₄²⋊₂C₂⋊C₆ = C₂⁴.₆A₄	φ: C₆/C₁ → C₆ ⊆ Out C₄²⋊₂C₂	16	12+	C4^2:2C2:C6	192,1008
C₄²⋊₂C₂⋊₂C₆ = C₂×C₄²⋊C₆	φ: C₆/C₂ → C₃ ⊆ Out C₄²⋊₂C₂	24	6	C4^2:2C2:2C6	192,1001
C₄²⋊₂C₂⋊₃C₆ = C₃×C₂².₃₂C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄²⋊₂C₂	48		C4^2:2C2:3C6	192,1427
C₄²⋊₂C₂⋊₄C₆ = C₃×C₂².₃₃C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄²⋊₂C₂	96		C4^2:2C2:4C6	192,1428
C₄²⋊₂C₂⋊₅C₆ = C₃×C₂².₃₆C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄²⋊₂C₂	96		C4^2:2C2:5C6	192,1431
C₄²⋊₂C₂⋊₆C₆ = C₃×C₂².₄₅C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄²⋊₂C₂	48		C4^2:2C2:6C6	192,1440
C₄²⋊₂C₂⋊₇C₆ = C₃×C₂².₄₆C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄²⋊₂C₂	96		C4^2:2C2:7C6	192,1441
C₄²⋊₂C₂⋊₈C₆ = C₃×C₂².₄₇C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄²⋊₂C₂	96		C4^2:2C2:8C6	192,1442
C₄²⋊₂C₂⋊₉C₆ = C₃×C₂².₅₀C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄²⋊₂C₂	96		C4^2:2C2:9C6	192,1445
C₄²⋊₂C₂⋊₁₀C₆ = C₃×C₂².₅₄C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄²⋊₂C₂	48		C4^2:2C2:10C6	192,1449
C₄²⋊₂C₂⋊₁₁C₆ = C₃×C₂².₅₇C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄²⋊₂C₂	96		C4^2:2C2:11C6	192,1452
C₄²⋊₂C₂⋊₁₂C₆ = C₃×C₂³.₃₆C₂³	φ: trivial image	96		C4^2:2C2:12C6	192,1418

Non-split extensions G=N.Q with N=C₄²⋊₂C₂ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₄²⋊₂C₂.C₆ = C₃×C₂².₃₅C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄²⋊₂C₂	96		C4^2:2C2.C6	192,1430

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