Extensions 1→N→G→Q→1 with N=C₆ and Q=C₄xC₈

Direct product G=NxQ with N=C₆ and Q=C₄xC₈

		d	ρ	Label	ID
C₂xC₄xC₂₄		192		C2xC4xC24	192,835

Semidirect products G=N:Q with N=C₆ and Q=C₄xC₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆:₁(C₄xC₈) = C₂xC₄xC₃:C₈	φ: C₄xC₈/C₄² → C₂ ⊆ Aut C₆	192		C6:1(C4xC8)	192,479
C₆:₂(C₄xC₈) = Dic₃xC₂xC₈	φ: C₄xC₈/C₂xC₈ → C₂ ⊆ Aut C₆	192		C6:2(C4xC8)	192,657

Non-split extensions G=N.Q with N=C₆ and Q=C₄xC₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₄xC₈) = C₈xC₃:C₈	φ: C₄xC₈/C₄² → C₂ ⊆ Aut C₆	192		C6.1(C4xC8)	192,12
C₆.₂(C₄xC₈) = C₂₄:C₈	φ: C₄xC₈/C₄² → C₂ ⊆ Aut C₆	192		C6.2(C4xC8)	192,14
C₆.₃(C₄xC₈) = C₄xC₃:C₁₆	φ: C₄xC₈/C₄² → C₂ ⊆ Aut C₆	192		C6.3(C4xC8)	192,19
C₆.₄(C₄xC₈) = C₂₄.C₈	φ: C₄xC₈/C₄² → C₂ ⊆ Aut C₆	192		C6.4(C4xC8)	192,20
C₆.₅(C₄xC₈) = (C₂xC₁₂):₃C₈	φ: C₄xC₈/C₄² → C₂ ⊆ Aut C₆	192		C6.5(C4xC8)	192,83
C₆.₆(C₄xC₈) = C₄².₂₇₉D₆	φ: C₄xC₈/C₂xC₈ → C₂ ⊆ Aut C₆	192		C6.6(C4xC8)	192,13
C₆.₇(C₄xC₈) = Dic₃xC₁₆	φ: C₄xC₈/C₂xC₈ → C₂ ⊆ Aut C₆	192		C6.7(C4xC8)	192,59
C₆.₈(C₄xC₈) = C₄₈:₁₀C₄	φ: C₄xC₈/C₂xC₈ → C₂ ⊆ Aut C₆	192		C6.8(C4xC8)	192,61
C₆.₉(C₄xC₈) = (C₂xC₂₄):₅C₄	φ: C₄xC₈/C₂xC₈ → C₂ ⊆ Aut C₆	192		C6.9(C4xC8)	192,109
C₆.₁₀(C₄xC₈) = C₃xC₈:C₈	central extension (φ=1)	192		C6.10(C4xC8)	192,128
C₆.₁₁(C₄xC₈) = C₃xC₂².₇C₄²	central extension (φ=1)	192		C6.11(C4xC8)	192,142
C₆.₁₂(C₄xC₈) = C₃xC₁₆:₅C₄	central extension (φ=1)	192		C6.12(C4xC8)	192,152

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