Extensions 1→N→G→Q→1 with N=C₃ and Q=D₆.₄D₆

Direct product G=N×Q with N=C₃ and Q=D₆.₄D₆

		d	ρ	Label	ID
C₃×D₆.₄D₆		24	4	C3xD6.4D6	432,653

Semidirect products G=N:Q with N=C₃ and Q=D₆.₄D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₆.₄D₆) = D₆.₄S₃²	φ: D₆.₄D₆/S₃×Dic₃ → C₂ ⊆ Aut C₃	48	8-	C3:1(D6.4D6)	432,608
C₃⋊₂(D₆.₄D₆) = D₆⋊S₃⋊S₃	φ: D₆.₄D₆/D₆⋊S₃ → C₂ ⊆ Aut C₃	48	8-	C3:2(D6.4D6)	432,610
C₃⋊₃(D₆.₄D₆) = D₆.₆S₃²	φ: D₆.₄D₆/C₃²⋊₂Q₈ → C₂ ⊆ Aut C₃	48	8-	C3:3(D6.4D6)	432,611
C₃⋊₄(D₆.₄D₆) = C₆².₉₁D₆	φ: D₆.₄D₆/C₃×C₃⋊D₄ → C₂ ⊆ Aut C₃	72		C3:4(D6.4D6)	432,676
C₃⋊₅(D₆.₄D₆) = C₆².₉₆D₆	φ: D₆.₄D₆/C₂×C₃⋊Dic₃ → C₂ ⊆ Aut C₃	24	4	C3:5(D6.4D6)	432,693

Non-split extensions G=N.Q with N=C₃ and Q=D₆.₄D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(D₆.₄D₆) = D₁₈.₄D₆	φ: D₆.₄D₆/C₃×C₃⋊D₄ → C₂ ⊆ Aut C₃	72	4-	C3.1(D6.4D6)	432,310
C₃.₂(D₆.₄D₆) = C₆².₉D₆	φ: D₆.₄D₆/C₂×C₃⋊Dic₃ → C₂ ⊆ Aut C₃	72	6	C3.2(D6.4D6)	432,319

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