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

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

		d	ρ	Label	ID
C₆×C₄²⋊C₂		96		C6xC4^2:C2	192,1403

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄²⋊C₂⋊₁C₆ = C₃×C₂³.C₂³	φ: C₆/C₃ → C₂ ⊆ Out C₄²⋊C₂	48	4	C4^2:C2:1C6	192,843
C₄²⋊C₂⋊₂C₆ = C₃×C₂³.₂₄D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄²⋊C₂	96		C4^2:C2:2C6	192,849
C₄²⋊C₂⋊₃C₆ = C₃×C₂³.₃₇D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄²⋊C₂	48		C4^2:C2:3C6	192,851
C₄²⋊C₂⋊₄C₆ = C₃×C₄²⋊C₂²	φ: C₆/C₃ → C₂ ⊆ Out C₄²⋊C₂	48	4	C4^2:C2:4C6	192,854
C₄²⋊C₂⋊₅C₆ = C₃×C₂³.₁₉D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄²⋊C₂	96		C4^2:C2:5C6	192,915
C₄²⋊C₂⋊₆C₆ = C₃×C₂².₁₁C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄²⋊C₂	48		C4^2:C2:6C6	192,1407
C₄²⋊C₂⋊₇C₆ = C₃×C₂³.₃₃C₂³	φ: C₆/C₃ → C₂ ⊆ Out C₄²⋊C₂	96		C4^2:C2:7C6	192,1409
C₄²⋊C₂⋊₈C₆ = C₃×C₂².₁₉C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄²⋊C₂	48		C4^2:C2:8C6	192,1414
C₄²⋊C₂⋊₉C₆ = C₃×C₂³.₃₆C₂³	φ: C₆/C₃ → C₂ ⊆ Out C₄²⋊C₂	96		C4^2:C2:9C6	192,1418
C₄²⋊C₂⋊₁₀C₆ = C₃×C₂².₂₉C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄²⋊C₂	48		C4^2:C2:10C6	192,1424
C₄²⋊C₂⋊₁₁C₆ = C₃×C₂³.₃₈C₂³	φ: C₆/C₃ → C₂ ⊆ Out C₄²⋊C₂	96		C4^2:C2:11C6	192,1425
C₄²⋊C₂⋊₁₂C₆ = C₃×C₂².₃₄C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄²⋊C₂	96		C4^2:C2:12C6	192,1429
C₄²⋊C₂⋊₁₃C₆ = C₃×C₂².₃₆C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄²⋊C₂	96		C4^2:C2:13C6	192,1431
C₄²⋊C₂⋊₁₄C₆ = C₃×C₂².₄₅C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄²⋊C₂	48		C4^2:C2:14C6	192,1440
C₄²⋊C₂⋊₁₅C₆ = C₃×C₂².₄₆C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄²⋊C₂	96		C4^2:C2:15C6	192,1441
C₄²⋊C₂⋊₁₆C₆ = C₃×C₂².₄₇C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄²⋊C₂	96		C4^2:C2:16C6	192,1442
C₄²⋊C₂⋊₁₇C₆ = C₃×C₂².₄₉C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄²⋊C₂	96		C4^2:C2:17C6	192,1444
C₄²⋊C₂⋊₁₈C₆ = C₃×C₂².₅₀C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄²⋊C₂	96		C4^2:C2:18C6	192,1445
C₄²⋊C₂⋊₁₉C₆ = C₁₂×C₄○D₄	φ: trivial image	96		C4^2:C2:19C6	192,1406

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄²⋊C₂.₁C₆ = C₃×C₄.₉C₄²	φ: C₆/C₃ → C₂ ⊆ Out C₄²⋊C₂	48	4	C4^2:C2.1C6	192,143
C₄²⋊C₂.₂C₆ = C₃×C₄²⋊₆C₄	φ: C₆/C₃ → C₂ ⊆ Out C₄²⋊C₂	48		C4^2:C2.2C6	192,145
C₄²⋊C₂.₃C₆ = C₃×M₄(2)⋊₄C₄	φ: C₆/C₃ → C₂ ⊆ Out C₄²⋊C₂	48	4	C4^2:C2.3C6	192,150
C₄²⋊C₂.₄C₆ = C₃×C₂³.₃₈D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄²⋊C₂	96		C4^2:C2.4C6	192,852
C₄²⋊C₂.₅C₆ = C₃×C₄².₆C₂²	φ: C₆/C₃ → C₂ ⊆ Out C₄²⋊C₂	96		C4^2:C2.5C6	192,857
C₄²⋊C₂.₆C₆ = C₃×C₂³.₂₅D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄²⋊C₂	96		C4^2:C2.6C6	192,860
C₄²⋊C₂.₇C₆ = C₃×M₄(2)⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₄²⋊C₂	96		C4^2:C2.7C6	192,861
C₄²⋊C₂.₈C₆ = C₃×C₄².₇C₂²	φ: C₆/C₃ → C₂ ⊆ Out C₄²⋊C₂	96		C4^2:C2.8C6	192,866
C₄²⋊C₂.₉C₆ = C₃×C₂³.₂₀D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄²⋊C₂	96		C4^2:C2.9C6	192,918
C₄²⋊C₂.₁₀C₆ = C₃×C₂³.₃₂C₂³	φ: C₆/C₃ → C₂ ⊆ Out C₄²⋊C₂	96		C4^2:C2.10C6	192,1408
C₄²⋊C₂.₁₁C₆ = C₃×C₂³.₃₇C₂³	φ: C₆/C₃ → C₂ ⊆ Out C₄²⋊C₂	96		C4^2:C2.11C6	192,1422
C₄²⋊C₂.₁₂C₆ = C₃×C₂².₃₅C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄²⋊C₂	96		C4^2:C2.12C6	192,1430
C₄²⋊C₂.₁₃C₆ = C₃×C₂³.₄₁C₂³	φ: C₆/C₃ → C₂ ⊆ Out C₄²⋊C₂	96		C4^2:C2.13C6	192,1433
C₄²⋊C₂.₁₄C₆ = C₃×C₈○₂M₄(2)	φ: trivial image	96		C4^2:C2.14C6	192,838

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