Extensions 1→N→G→Q→1 with N=C₆ and Q=C₄×C₈

Direct product G=N×Q with N=C₆ and Q=C₄×C₈

		d	ρ	Label	ID
C₂×C₄×C₂₄		192		C2xC4xC24	192,835

Semidirect products G=N:Q with N=C₆ and Q=C₄×C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊₁(C₄×C₈) = C₂×C₄×C₃⋊C₈	φ: C₄×C₈/C₄² → C₂ ⊆ Aut C₆	192		C6:1(C4xC8)	192,479
C₆⋊₂(C₄×C₈) = Dic₃×C₂×C₈	φ: C₄×C₈/C₂×C₈ → C₂ ⊆ Aut C₆	192		C6:2(C4xC8)	192,657

Non-split extensions G=N.Q with N=C₆ and Q=C₄×C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₄×C₈) = C₈×C₃⋊C₈	φ: C₄×C₈/C₄² → C₂ ⊆ Aut C₆	192		C6.1(C4xC8)	192,12
C₆.₂(C₄×C₈) = C₂₄⋊C₈	φ: C₄×C₈/C₄² → C₂ ⊆ Aut C₆	192		C6.2(C4xC8)	192,14
C₆.₃(C₄×C₈) = C₄×C₃⋊C₁₆	φ: C₄×C₈/C₄² → C₂ ⊆ Aut C₆	192		C6.3(C4xC8)	192,19
C₆.₄(C₄×C₈) = C₂₄.C₈	φ: C₄×C₈/C₄² → C₂ ⊆ Aut C₆	192		C6.4(C4xC8)	192,20
C₆.₅(C₄×C₈) = (C₂×C₁₂)⋊₃C₈	φ: C₄×C₈/C₄² → C₂ ⊆ Aut C₆	192		C6.5(C4xC8)	192,83
C₆.₆(C₄×C₈) = C₄².₂₇₉D₆	φ: C₄×C₈/C₂×C₈ → C₂ ⊆ Aut C₆	192		C6.6(C4xC8)	192,13
C₆.₇(C₄×C₈) = Dic₃×C₁₆	φ: C₄×C₈/C₂×C₈ → C₂ ⊆ Aut C₆	192		C6.7(C4xC8)	192,59
C₆.₈(C₄×C₈) = C₄₈⋊₁₀C₄	φ: C₄×C₈/C₂×C₈ → C₂ ⊆ Aut C₆	192		C6.8(C4xC8)	192,61
C₆.₉(C₄×C₈) = (C₂×C₂₄)⋊₅C₄	φ: C₄×C₈/C₂×C₈ → C₂ ⊆ Aut C₆	192		C6.9(C4xC8)	192,109
C₆.₁₀(C₄×C₈) = C₃×C₈⋊C₈	central extension (φ=1)	192		C6.10(C4xC8)	192,128
C₆.₁₁(C₄×C₈) = C₃×C₂².₇C₄²	central extension (φ=1)	192		C6.11(C4xC8)	192,142
C₆.₁₂(C₄×C₈) = C₃×C₁₆⋊₅C₄	central extension (φ=1)	192		C6.12(C4xC8)	192,152

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