Extensions 1→N→G→Q→1 with N=C₆ and Q=C₃⋊C₈

Direct product G=N×Q with N=C₆ and Q=C₃⋊C₈

		d	ρ	Label	ID
C₆×C₃⋊C₈		48		C6xC3:C8	144,74

Semidirect products G=N:Q with N=C₆ and Q=C₃⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(C₃⋊C₈) = C₂×C₃²⋊₄C₈	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Aut C₆	144		C6:(C3:C8)	144,90

Non-split extensions G=N.Q with N=C₆ and Q=C₃⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₃⋊C₈) = C₉⋊C₁₆	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Aut C₆	144	2	C6.1(C3:C8)	144,1
C₆.₂(C₃⋊C₈) = C₂×C₉⋊C₈	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Aut C₆	144		C6.2(C3:C8)	144,9
C₆.₃(C₃⋊C₈) = C₂₄.S₃	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Aut C₆	144		C6.3(C3:C8)	144,29
C₆.₄(C₃⋊C₈) = C₃×C₃⋊C₁₆	central extension (φ=1)	48	2	C6.4(C3:C8)	144,28

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Extensions 1→N→G→Q→1 with N=C6 and Q=C3⋊C8