Extensions 1→N→G→Q→1 with N=C₃ and Q=D₆.₃D₆

Direct product G=N×Q with N=C₃ and Q=D₆.₃D₆

		d	ρ	Label	ID
C₃×D₆.₃D₆		24	4	C3xD6.3D6	432,652

Semidirect products G=N:Q with N=C₃ and Q=D₆.₃D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₆.₃D₆) = (S₃×C₆).D₆	φ: D₆.₃D₆/S₃×Dic₃ → C₂ ⊆ Aut C₃	24	8+	C3:1(D6.3D6)	432,606
C₃⋊₂(D₆.₃D₆) = D₆.S₃²	φ: D₆.₃D₆/C₆.D₆ → C₂ ⊆ Aut C₃	48	8-	C3:2(D6.3D6)	432,607
C₃⋊₃(D₆.₃D₆) = D₆.₄S₃²	φ: D₆.₃D₆/C₃⋊D₁₂ → C₂ ⊆ Aut C₃	48	8-	C3:3(D6.3D6)	432,608
C₃⋊₄(D₆.₃D₆) = D₆.₃S₃²	φ: D₆.₃D₆/C₃²⋊₂Q₈ → C₂ ⊆ Aut C₃	24	8+	C3:4(D6.3D6)	432,609
C₃⋊₅(D₆.₃D₆) = C₆².₉₃D₆	φ: D₆.₃D₆/C₆×Dic₃ → C₂ ⊆ Aut C₃	72		C3:5(D6.3D6)	432,678
C₃⋊₆(D₆.₃D₆) = C₆².₉₀D₆	φ: D₆.₃D₆/C₃×C₃⋊D₄ → C₂ ⊆ Aut C₃	72		C3:6(D6.3D6)	432,675
C₃⋊₇(D₆.₃D₆) = C₆².₉₆D₆	φ: D₆.₃D₆/C₃²⋊₇D₄ → C₂ ⊆ Aut C₃	24	4	C3:7(D6.3D6)	432,693

Non-split extensions G=N.Q with N=C₃ and Q=D₆.₃D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(D₆.₃D₆) = D₁₈.₃D₆	φ: D₆.₃D₆/C₆×Dic₃ → C₂ ⊆ Aut C₃	72	4	C3.1(D6.3D6)	432,305
C₃.₂(D₆.₃D₆) = Dic₃.D₁₈	φ: D₆.₃D₆/C₃×C₃⋊D₄ → C₂ ⊆ Aut C₃	72	4	C3.2(D6.3D6)	432,309
C₃.₃(D₆.₃D₆) = C₆².₈D₆	φ: D₆.₃D₆/C₃²⋊₇D₄ → C₂ ⊆ Aut C₃	72	12-	C3.3(D6.3D6)	432,318

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