Extensions 1→N→G→Q→1 with N=C₃³ and Q=C₁₈

Direct product G=N×Q with N=C₃³ and Q=C₁₈

		d	ρ	Label	ID
C₃³×C₁₈		486		C3^3xC18	486,250

Semidirect products G=N:Q with N=C₃³ and Q=C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃³⋊₁C₁₈ = C₃³⋊₁C₁₈	φ: C₁₈/C₃ → C₆ ⊆ Aut C₃³	18	6	C3^3:1C18	486,18
C₃³⋊₂C₁₈ = C₃×C₃²⋊C₁₈	φ: C₁₈/C₃ → C₆ ⊆ Aut C₃³	54		C3^3:2C18	486,93
C₃³⋊₃C₁₈ = S₃×C₃²⋊C₉	φ: C₁₈/C₃ → C₆ ⊆ Aut C₃³	54		C3^3:3C18	486,95
C₃³⋊₄C₁₈ = C₃³⋊C₁₈	φ: C₁₈/C₃ → C₆ ⊆ Aut C₃³	54		C3^3:4C18	486,136
C₃³⋊₅C₁₈ = C₂×C₃³⋊C₉	φ: C₁₈/C₆ → C₃ ⊆ Aut C₃³	54		C3^3:5C18	486,73
C₃³⋊₆C₁₈ = C₆×C₃²⋊C₉	φ: C₁₈/C₆ → C₃ ⊆ Aut C₃³	162		C3^3:6C18	486,191
C₃³⋊₇C₁₈ = S₃×C₃²×C₉	φ: C₁₈/C₉ → C₂ ⊆ Aut C₃³	162		C3^3:7C18	486,221
C₃³⋊₈C₁₈ = C₃⋊S₃×C₃×C₉	φ: C₁₈/C₉ → C₂ ⊆ Aut C₃³	54		C3^3:8C18	486,228
C₃³⋊₉C₁₈ = C₉×C₃³⋊C₂	φ: C₁₈/C₉ → C₂ ⊆ Aut C₃³	162		C3^3:9C18	486,241

Non-split extensions G=N.Q with N=C₃³ and Q=C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃³.₁C₁₈ = C₃²⋊C₅₄	φ: C₁₈/C₃ → C₆ ⊆ Aut C₃³	54	6	C3^3.1C18	486,16
C₃³.₂C₁₈ = S₃×C₂₇⋊C₃	φ: C₁₈/C₃ → C₆ ⊆ Aut C₃³	54	6	C3^3.2C18	486,114
C₃³.₃C₁₈ = C₂×C₃²⋊C₂₇	φ: C₁₈/C₆ → C₃ ⊆ Aut C₃³	162		C3^3.3C18	486,72
C₃³.₄C₁₈ = C₂×C₉.₄He₃	φ: C₁₈/C₆ → C₃ ⊆ Aut C₃³	54	3	C3^3.4C18	486,76
C₃³.₅C₁₈ = C₆×C₂₇⋊C₃	φ: C₁₈/C₆ → C₃ ⊆ Aut C₃³	162		C3^3.5C18	486,208
C₃³.₆C₁₈ = S₃×C₃×C₂₇	φ: C₁₈/C₉ → C₂ ⊆ Aut C₃³	162		C3^3.6C18	486,112
C₃³.₇C₁₈ = C₃⋊S₃×C₂₇	φ: C₁₈/C₉ → C₂ ⊆ Aut C₃³	162		C3^3.7C18	486,161

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