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

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

		d	ρ	Label	ID
C₆×C₈⋊C₄		192		C6xC8:C4	192,836

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊₁(C₈⋊C₄) = C₂×C₄².S₃	φ: C₈⋊C₄/C₄² → C₂ ⊆ Aut C₆	192		C6:1(C8:C4)	192,480
C₆⋊₂(C₈⋊C₄) = C₂×C₂₄⋊C₄	φ: C₈⋊C₄/C₂×C₈ → C₂ ⊆ Aut C₆	192		C6:2(C8:C4)	192,659

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₈⋊C₄) = C₄².₂₇₉D₆	φ: C₈⋊C₄/C₄² → C₂ ⊆ Aut C₆	192		C6.1(C8:C4)	192,13
C₆.₂(C₈⋊C₄) = C₁₂.₁₅C₄²	φ: C₈⋊C₄/C₄² → C₂ ⊆ Aut C₆	48	4	C6.2(C8:C4)	192,25
C₆.₃(C₈⋊C₄) = (C₂×C₁₂)⋊₃C₈	φ: C₈⋊C₄/C₄² → C₂ ⊆ Aut C₆	192		C6.3(C8:C4)	192,83
C₆.₄(C₈⋊C₄) = C₂₄⋊C₈	φ: C₈⋊C₄/C₂×C₈ → C₂ ⊆ Aut C₆	192		C6.4(C8:C4)	192,14
C₆.₅(C₈⋊C₄) = C₄₈⋊C₄	φ: C₈⋊C₄/C₂×C₈ → C₂ ⊆ Aut C₆	48	4	C6.5(C8:C4)	192,71
C₆.₆(C₈⋊C₄) = (C₂×C₂₄)⋊₅C₄	φ: C₈⋊C₄/C₂×C₈ → C₂ ⊆ Aut C₆	192		C6.6(C8:C4)	192,109
C₆.₇(C₈⋊C₄) = C₃×C₈⋊C₈	central extension (φ=1)	192		C6.7(C8:C4)	192,128
C₆.₈(C₈⋊C₄) = C₃×C₂².₇C₄²	central extension (φ=1)	192		C6.8(C8:C4)	192,142
C₆.₉(C₈⋊C₄) = C₃×C₁₆⋊C₄	central extension (φ=1)	48	4	C6.9(C8:C4)	192,153

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