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	432,633

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) = C₃³⋊M₄(2)	φ: C₆².C₄/C₃²⋊₂C₈ → C₂ ⊆ Aut C₃	48	8-	C3:1(C6^2.C4)	432,572
C₃⋊₂(C₆².C₄) = C₃³⋊₁₂M₄(2)	φ: C₆².C₄/C₂×C₃⋊Dic₃ → C₂ ⊆ Aut C₃	24	4	C3:2(C6^2.C4)	432,640

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) = He₃⋊₄M₄(2)	central stem extension (φ=1)	72	6	C3.(C6^2.C4)	432,278

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