Extensions 1→N→G→Q→1 with N=C₃ and Q=C₁₂.₅₈D₆

Direct product G=NxQ with N=C₃ and Q=C₁₂.₅₈D₆

		d	ρ	Label	ID
C₃xC₁₂.₅₈D₆		72		C3xC12.58D6	432,486

Semidirect products G=N:Q with N=C₃ and Q=C₁₂.₅₈D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₁₂.₅₈D₆) = C₃³:₇M₄(2)	φ: C₁₂.₅₈D₆/C₃²:₄C₈ → C₂ ⊆ Aut C₃	144		C3:1(C12.58D6)	432,433
C₃:₂(C₁₂.₅₈D₆) = C₃³:₁₈M₄(2)	φ: C₁₂.₅₈D₆/C₆xC₁₂ → C₂ ⊆ Aut C₃	216		C3:2(C12.58D6)	432,502

Non-split extensions G=N.Q with N=C₃ and Q=C₁₂.₅₈D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₁₂.₅₈D₆) = C₃₆.₆₉D₆	φ: C₁₂.₅₈D₆/C₆xC₁₂ → C₂ ⊆ Aut C₃	216		C3.(C12.58D6)	432,179
C₃.₂(C₁₂.₅₈D₆) = He₃:₈M₄(2)	central stem extension (φ=1)	72	6	C3.2(C12.58D6)	432,185

Extensions 1→N→G→Q→1 with N=C3 and Q=C12.58D6