Extensions 1→N→G→Q→1 with N=C₃ and Q=C₆²⋊C₄

Direct product G=N×Q with N=C₃ and Q=C₆²⋊C₄

		d	ρ	Label	ID
C₃×C₆²⋊C₄		24	4	C3xC6^2:C4	432,634

Semidirect products G=N:Q with N=C₃ and Q=C₆²⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₆²⋊C₄) = D₆⋊(C₃²⋊C₄)	φ: C₆²⋊C₄/C₂×C₃²⋊C₄ → C₂ ⊆ Aut C₃	24	8+	C3:1(C6^2:C4)	432,568
C₃⋊₂(C₆²⋊C₄) = C₆²⋊₁₁Dic₃	φ: C₆²⋊C₄/C₂²×C₃⋊S₃ → C₂ ⊆ Aut C₃	24	4	C3:2(C6^2:C4)	432,641

Non-split extensions G=N.Q with N=C₃ and Q=C₆²⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₆²⋊C₄) = C₂²⋊(He₃⋊C₄)	central stem extension (φ=1)	36	6	C3.(C6^2:C4)	432,279

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Extensions 1→N→G→Q→1 with N=C3 and Q=C62⋊C4