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

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

		d	ρ	Label	ID
C₆×C₂.C₄²		192		C6xC2.C4^2	192,808

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₂.C₄²⋊₁C₆ = C₂⁴.₂A₄	φ: C₆/C₁ → C₆ ⊆ Out C₂.C₄²	12	6+	C2.C4^2:1C6	192,197
C₂.C₄²⋊₂C₆ = C₂⁴.₃A₄	φ: C₆/C₁ → C₆ ⊆ Out C₂.C₄²	24	6	C2.C4^2:2C6	192,198
C₂.C₄²⋊₃C₆ = C₂×C₂³.₃A₄	φ: C₆/C₂ → C₃ ⊆ Out C₂.C₄²	24		C2.C4^2:3C6	192,189
C₂.C₄²⋊₄C₆ = C₃×C₂³.₇Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₂.C₄²	96		C2.C4^2:4C6	192,813
C₂.C₄²⋊₅C₆ = C₃×C₂³.₃₄D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂.C₄²	96		C2.C4^2:5C6	192,814
C₂.C₄²⋊₆C₆ = C₃×C₂⁴.C₂²	φ: C₆/C₃ → C₂ ⊆ Out C₂.C₄²	96		C2.C4^2:6C6	192,821
C₂.C₄²⋊₇C₆ = C₃×C₂³.Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₂.C₄²	96		C2.C4^2:7C6	192,829
C₂.C₄²⋊₈C₆ = C₃×C₂³.₁₁D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂.C₄²	96		C2.C4^2:8C6	192,830
C₂.C₄²⋊₉C₆ = C₃×C₂².SD₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₂.C₄²	48		C2.C4^2:9C6	192,133
C₂.C₄²⋊₁₀C₆ = C₃×C₂³.₈Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₂.C₄²	96		C2.C4^2:10C6	192,818
C₂.C₄²⋊₁₁C₆ = C₃×C₂³.₂₃D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂.C₄²	96		C2.C4^2:11C6	192,819
C₂.C₄²⋊₁₂C₆ = C₃×C₂³⋊₂D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂.C₄²	96		C2.C4^2:12C6	192,825
C₂.C₄²⋊₁₃C₆ = C₃×C₂³⋊Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₂.C₄²	96		C2.C4^2:13C6	192,826
C₂.C₄²⋊₁₄C₆ = C₃×C₂³.₁₀D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂.C₄²	96		C2.C4^2:14C6	192,827
C₂.C₄²⋊₁₅C₆ = C₃×C₂³.₄Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₂.C₄²	96		C2.C4^2:15C6	192,832
C₂.C₄²⋊₁₆C₆ = C₁₂×C₂²⋊C₄	φ: trivial image	96		C2.C4^2:16C6	192,810

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₂.C₄².₁C₆ = C₂³.₁₉(C₂×A₄)	φ: C₆/C₁ → C₆ ⊆ Out C₂.C₄²	24	6	C2.C4^2.1C6	192,199
C₂.C₄².₂C₆ = C₂³⋊₂D₄⋊C₃	φ: C₆/C₁ → C₆ ⊆ Out C₂.C₄²	12	6+	C2.C4^2.2C6	192,194
C₂.C₄².₃C₆ = C₄²⋊₄C₄⋊C₃	φ: C₆/C₂ → C₃ ⊆ Out C₂.C₄²	24	6	C2.C4^2.3C6	192,190
C₂.C₄².₄C₆ = C₃×C₄²⋊₈C₄	φ: C₆/C₃ → C₂ ⊆ Out C₂.C₄²	192		C2.C4^2.4C6	192,815
C₂.C₄².₅C₆ = C₃×C₄²⋊₅C₄	φ: C₆/C₃ → C₂ ⊆ Out C₂.C₄²	192		C2.C4^2.5C6	192,816
C₂.C₄².₆C₆ = C₃×C₂³.₆₃C₂³	φ: C₆/C₃ → C₂ ⊆ Out C₂.C₄²	192		C2.C4^2.6C6	192,820
C₂.C₄².₇C₆ = C₃×C₂³.₈₄C₂³	φ: C₆/C₃ → C₂ ⊆ Out C₂.C₄²	192		C2.C4^2.7C6	192,834
C₂.C₄².₈C₆ = C₃×C₂³.₃₁D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂.C₄²	48		C2.C4^2.8C6	192,134
C₂.C₄².₉C₆ = C₃×C₂³.₆₅C₂³	φ: C₆/C₃ → C₂ ⊆ Out C₂.C₄²	192		C2.C4^2.9C6	192,822
C₂.C₄².₁₀C₆ = C₃×C₂³.₆₇C₂³	φ: C₆/C₃ → C₂ ⊆ Out C₂.C₄²	192		C2.C4^2.10C6	192,824
C₂.C₄².₁₁C₆ = C₃×C₂³.₇₈C₂³	φ: C₆/C₃ → C₂ ⊆ Out C₂.C₄²	192		C2.C4^2.11C6	192,828
C₂.C₄².₁₂C₆ = C₃×C₂³.₈₁C₂³	φ: C₆/C₃ → C₂ ⊆ Out C₂.C₄²	192		C2.C4^2.12C6	192,831
C₂.C₄².₁₃C₆ = C₃×C₂³.₈₃C₂³	φ: C₆/C₃ → C₂ ⊆ Out C₂.C₄²	192		C2.C4^2.13C6	192,833
C₂.C₄².₁₄C₆ = C₃×C₄²⋊₄C₄	φ: trivial image	192		C2.C4^2.14C6	192,809
C₂.C₄².₁₅C₆ = C₁₂×C₄⋊C₄	φ: trivial image	192		C2.C4^2.15C6	192,811

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