Extensions 1→N→G→Q→1 with N=C₂₇⋊C₃ and Q=C₆

Direct product G=N×Q with N=C₂₇⋊C₃ and Q=C₆

		d	ρ	Label	ID
C₆×C₂₇⋊C₃		162		C6xC27:C3	486,208

Semidirect products G=N:Q with N=C₂₇⋊C₃ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₂₇⋊C₃⋊₁C₆ = C₂×C₉.₄He₃	φ: C₆/C₂ → C₃ ⊆ Out C₂₇⋊C₃	54	3	C27:C3:1C6	486,76
C₂₇⋊C₃⋊₂C₆ = C₂×C₉.₅He₃	φ: C₆/C₂ → C₃ ⊆ Out C₂₇⋊C₃	162	3	C27:C3:2C6	486,79
C₂₇⋊C₃⋊₃C₆ = C₂×C₉.₆He₃	φ: C₆/C₂ → C₃ ⊆ Out C₂₇⋊C₃	162	3	C27:C3:3C6	486,80
C₂₇⋊C₃⋊₄C₆ = C₃×C₂₇⋊C₆	φ: C₆/C₃ → C₂ ⊆ Out C₂₇⋊C₃	54	6	C27:C3:4C6	486,113
C₂₇⋊C₃⋊₅C₆ = C₂×C₂₇○He₃	φ: trivial image	162	3	C27:C3:5C6	486,209

Non-split extensions G=N.Q with N=C₂₇⋊C₃ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₂₇⋊C₃.C₆ = C₂₇⋊C₁₈	φ: C₆/C₁ → C₆ ⊆ Out C₂₇⋊C₃	27	18+	C27:C3.C6	486,31
C₂₇⋊C₃.₂C₆ = C₂×C₂₇⋊C₉	φ: C₆/C₂ → C₃ ⊆ Out C₂₇⋊C₃	54	9	C27:C3.2C6	486,82

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