Extensions 1→N→G→Q→1 with N=C₆ and Q=C₄≀C₂

Direct product G=N×Q with N=C₆ and Q=C₄≀C₂

		d	ρ	Label	ID
C₆×C₄≀C₂		48		C6xC4wrC2	192,853

Semidirect products G=N:Q with N=C₆ and Q=C₄≀C₂

extension	φ:Q→Aut N	d	Label	ID
C₆⋊₁C₄≀C₂ = C₂×C₄²⋊₄S₃	φ: C₄≀C₂/C₄² → C₂ ⊆ Aut C₆	48	C6:1C4wrC2	192,486
C₆⋊₂C₄≀C₂ = C₂×D₁₂⋊C₄	φ: C₄≀C₂/M₄(2) → C₂ ⊆ Aut C₆	48	C6:2C4wrC2	192,697
C₆⋊₃C₄≀C₂ = C₂×Q₈⋊₃Dic₃	φ: C₄≀C₂/C₄○D₄ → C₂ ⊆ Aut C₆	48	C6:3C4wrC2	192,794

Non-split extensions G=N.Q with N=C₆ and Q=C₄≀C₂

extension	φ:Q→Aut N	d	Label	ID
C₆.₁C₄≀C₂ = C₆.C₄≀C₂	φ: C₄≀C₂/C₄² → C₂ ⊆ Aut C₆	48	C6.1C4wrC2	192,10
C₆.₂C₄≀C₂ = C₄⋊Dic₃⋊C₄	φ: C₄≀C₂/C₄² → C₂ ⊆ Aut C₆	48	C6.2C4wrC2	192,11
C₆.₃C₄≀C₂ = C₄.₈Dic₁₂	φ: C₄≀C₂/C₄² → C₂ ⊆ Aut C₆	192	C6.3C4wrC2	192,15
C₆.₄C₄≀C₂ = C₄.₁₇D₂₄	φ: C₄≀C₂/C₄² → C₂ ⊆ Aut C₆	96	C6.4C4wrC2	192,18
C₆.₅C₄≀C₂ = C₄².D₆	φ: C₄≀C₂/C₄² → C₂ ⊆ Aut C₆	96	C6.5C4wrC2	192,23
C₆.₆C₄≀C₂ = C₄².₂D₆	φ: C₄≀C₂/C₄² → C₂ ⊆ Aut C₆	192	C6.6C4wrC2	192,24
C₆.₇C₄≀C₂ = C₁₂.₈C₄²	φ: C₄≀C₂/C₄² → C₂ ⊆ Aut C₆	48	C6.7C4wrC2	192,82
C₆.₈C₄≀C₂ = C₂³.₃₅D₁₂	φ: C₄≀C₂/M₄(2) → C₂ ⊆ Aut C₆	48	C6.8C4wrC2	192,26
C₆.₉C₄≀C₂ = C₂².₂D₂₄	φ: C₄≀C₂/M₄(2) → C₂ ⊆ Aut C₆	48	C6.9C4wrC2	192,29
C₆.₁₀C₄≀C₂ = D₁₂⋊₂C₈	φ: C₄≀C₂/M₄(2) → C₂ ⊆ Aut C₆	96	C6.10C4wrC2	192,42
C₆.₁₁C₄≀C₂ = Dic₆⋊₂C₈	φ: C₄≀C₂/M₄(2) → C₂ ⊆ Aut C₆	192	C6.11C4wrC2	192,43
C₆.₁₂C₄≀C₂ = C₁₂.₃C₄²	φ: C₄≀C₂/M₄(2) → C₂ ⊆ Aut C₆	48	C6.12C4wrC2	192,114
C₆.₁₃C₄≀C₂ = C₁₂.₂C₄²	φ: C₄≀C₂/C₄○D₄ → C₂ ⊆ Aut C₆	48	C6.13C4wrC2	192,91
C₆.₁₄C₄≀C₂ = C₁₂.₅₇D₈	φ: C₄≀C₂/C₄○D₄ → C₂ ⊆ Aut C₆	96	C6.14C4wrC2	192,93
C₆.₁₅C₄≀C₂ = C₁₂.₂₆Q₁₆	φ: C₄≀C₂/C₄○D₄ → C₂ ⊆ Aut C₆	192	C6.15C4wrC2	192,94
C₆.₁₆C₄≀C₂ = (C₆×D₄)⋊C₄	φ: C₄≀C₂/C₄○D₄ → C₂ ⊆ Aut C₆	48	C6.16C4wrC2	192,96
C₆.₁₇C₄≀C₂ = (C₆×Q₈)⋊C₄	φ: C₄≀C₂/C₄○D₄ → C₂ ⊆ Aut C₆	48	C6.17C4wrC2	192,97
C₆.₁₈C₄≀C₂ = C₄².₇D₆	φ: C₄≀C₂/C₄○D₄ → C₂ ⊆ Aut C₆	96	C6.18C4wrC2	192,99
C₆.₁₉C₄≀C₂ = C₄².₈D₆	φ: C₄≀C₂/C₄○D₄ → C₂ ⊆ Aut C₆	192	C6.19C4wrC2	192,102
C₆.₂₀C₄≀C₂ = C₃×D₄⋊C₈	central extension (φ=1)	96	C6.20C4wrC2	192,131
C₆.₂₁C₄≀C₂ = C₃×Q₈⋊C₈	central extension (φ=1)	192	C6.21C4wrC2	192,132
C₆.₂₂C₄≀C₂ = C₃×C₂².SD₁₆	central extension (φ=1)	48	C6.22C4wrC2	192,133
C₆.₂₃C₄≀C₂ = C₃×C₂³.₃₁D₄	central extension (φ=1)	48	C6.23C4wrC2	192,134
C₆.₂₄C₄≀C₂ = C₃×C₄².C₂²	central extension (φ=1)	96	C6.24C4wrC2	192,135
C₆.₂₅C₄≀C₂ = C₃×C₄².₂C₂²	central extension (φ=1)	192	C6.25C4wrC2	192,136
C₆.₂₆C₄≀C₂ = C₃×C₄²⋊₆C₄	central extension (φ=1)	48	C6.26C4wrC2	192,145

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Extensions 1→N→G→Q→1 with N=C6 and Q=C4≀C2

Extensions 1→N→G→Q→1 with N=C₆ and Q=C₄≀C₂