Extensions 1→N→G→Q→1 with N=C₃ and Q=A₄⋊C₄

Direct product G=N×Q with N=C₃ and Q=A₄⋊C₄

		d	ρ	Label	ID
C₃×A₄⋊C₄		36	3	C3xA4:C4	144,123

Semidirect products G=N:Q with N=C₃ and Q=A₄⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(A₄⋊C₄) = C₆.₇S₄	φ: A₄⋊C₄/C₂×A₄ → C₂ ⊆ Aut C₃	36	6-	C3:(A4:C4)	144,126

Non-split extensions G=N.Q with N=C₃ and Q=A₄⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(A₄⋊C₄) = C₆.S₄	φ: A₄⋊C₄/C₂×A₄ → C₂ ⊆ Aut C₃	36	6-	C3.(A4:C4)	144,33

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C3 and Q=A4⋊C4