Extensions 1→N→G→Q→1 with N=C₃ and Q=C₁₂.₅₉D₆

Direct product G=N×Q with N=C₃ and Q=C₁₂.₅₉D₆

		d	ρ	Label	ID
C₃×C₁₂.₅₉D₆		72		C3xC12.59D6	432,713

Semidirect products G=N:Q with N=C₃ and Q=C₁₂.₅₉D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₁₂.₅₉D₆) = C₁₂.₅₈S₃²	φ: C₁₂.₅₉D₆/C₃²⋊₄Q₈ → C₂ ⊆ Aut C₃	72		C3:1(C12.59D6)	432,669
C₃⋊₂(C₁₂.₅₉D₆) = C₁₂.₇₃S₃²	φ: C₁₂.₅₉D₆/C₄×C₃⋊S₃ → C₂ ⊆ Aut C₃	72		C3:2(C12.59D6)	432,667
C₃⋊₃(C₁₂.₅₉D₆) = C₁₂.₅₇S₃²	φ: C₁₂.₅₉D₆/C₁₂⋊S₃ → C₂ ⊆ Aut C₃	144		C3:3(C12.59D6)	432,668
C₃⋊₄(C₁₂.₅₉D₆) = C₆².₉₃D₆	φ: C₁₂.₅₉D₆/C₃²⋊₇D₄ → C₂ ⊆ Aut C₃	72		C3:4(C12.59D6)	432,678
C₃⋊₅(C₁₂.₅₉D₆) = C₆².₁₆₀D₆	φ: C₁₂.₅₉D₆/C₆×C₁₂ → C₂ ⊆ Aut C₃	216		C3:5(C12.59D6)	432,723

Non-split extensions G=N.Q with N=C₃ and Q=C₁₂.₅₉D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₁₂.₅₉D₆) = C₃₆.₇₀D₆	φ: C₁₂.₅₉D₆/C₆×C₁₂ → C₂ ⊆ Aut C₃	216		C3.(C12.59D6)	432,383
C₃.₂(C₁₂.₅₉D₆) = C₆².₄₇D₆	central stem extension (φ=1)	72	6	C3.2(C12.59D6)	432,387

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