Extensions 1→N→G→Q→1 with N=C₃ and Q=D₆⋊D₆

Direct product G=N×Q with N=C₃ and Q=D₆⋊D₆

		d	ρ	Label	ID
C₃×D₆⋊D₆		48	4	C3xD6:D6	432,650

Semidirect products G=N:Q with N=C₃ and Q=D₆⋊D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₆⋊D₆) = (S₃×C₆)⋊D₆	φ: D₆⋊D₆/D₆⋊S₃ → C₂ ⊆ Aut C₃	24	8+	C3:1(D6:D6)	432,601
C₃⋊₂(D₆⋊D₆) = C₁₂⋊S₃²	φ: D₆⋊D₆/C₃×D₁₂ → C₂ ⊆ Aut C₃	72		C3:2(D6:D6)	432,673
C₃⋊₃(D₆⋊D₆) = C₁₂⋊₃S₃²	φ: D₆⋊D₆/C₄×C₃⋊S₃ → C₂ ⊆ Aut C₃	48	4	C3:3(D6:D6)	432,691
C₃⋊₄(D₆⋊D₆) = D₆⋊S₃²	φ: D₆⋊D₆/C₂×S₃² → C₂ ⊆ Aut C₃	48	8-	C3:4(D6:D6)	432,600

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(D₆⋊D₆) = C₃₆⋊D₆	φ: D₆⋊D₆/C₃×D₁₂ → C₂ ⊆ Aut C₃	72	4	C3.1(D6:D6)	432,293
C₃.₂(D₆⋊D₆) = C₁₂.₈₆S₃²	φ: D₆⋊D₆/C₄×C₃⋊S₃ → C₂ ⊆ Aut C₃	36	6+	C3.2(D6:D6)	432,302

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