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

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

		d	ρ	Label	ID
C₃×C₆×C₃⋊C₈		144		C3xC6xC3:C8	432,469

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊C₈⋊₁(C₃×C₆) = C₃²×D₄⋊S₃	φ: C₃×C₆/C₃² → C₂ ⊆ Out C₃⋊C₈	72		C3:C8:1(C3xC6)	432,475
C₃⋊C₈⋊₂(C₃×C₆) = C₃²×D₄.S₃	φ: C₃×C₆/C₃² → C₂ ⊆ Out C₃⋊C₈	72		C3:C8:2(C3xC6)	432,476
C₃⋊C₈⋊₃(C₃×C₆) = C₃²×Q₈⋊₂S₃	φ: C₃×C₆/C₃² → C₂ ⊆ Out C₃⋊C₈	144		C3:C8:3(C3xC6)	432,477
C₃⋊C₈⋊₄(C₃×C₆) = C₃²×C₈⋊S₃	φ: C₃×C₆/C₃² → C₂ ⊆ Out C₃⋊C₈	144		C3:C8:4(C3xC6)	432,465
C₃⋊C₈⋊₅(C₃×C₆) = C₃²×C₄.Dic₃	φ: C₃×C₆/C₃² → C₂ ⊆ Out C₃⋊C₈	72		C3:C8:5(C3xC6)	432,470
C₃⋊C₈⋊₆(C₃×C₆) = S₃×C₃×C₂₄	φ: trivial image	144		C3:C8:6(C3xC6)	432,464

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊C₈.(C₃×C₆) = C₃²×C₃⋊Q₁₆	φ: C₃×C₆/C₃² → C₂ ⊆ Out C₃⋊C₈	144		C3:C8.(C3xC6)	432,478

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