Extensions 1→N→G→Q→1 with N=C₆² and Q=A₄

Direct product G=N×Q with N=C₆² and Q=A₄

		d	ρ	Label	ID
A₄×C₆²		108		A4xC6^2	432,770

Semidirect products G=N:Q with N=C₆² and Q=A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆²⋊₁A₄ = C₂²×C₃²⋊A₄	φ: A₄/C₂² → C₃ ⊆ Aut C₆²	36		C6^2:1A4	432,550
C₆²⋊₂A₄ = C₆²⋊A₄	φ: A₄/C₂² → C₃ ⊆ Aut C₆²	36		C6^2:2A4	432,555
C₆²⋊₃A₄ = C₃²×C₂²⋊A₄	φ: A₄/C₂² → C₃ ⊆ Aut C₆²	108		C6^2:3A4	432,771

Non-split extensions G=N.Q with N=C₆² and Q=A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆².₁A₄ = C₃×C₄²⋊C₉	φ: A₄/C₂² → C₃ ⊆ Aut C₆²	108		C6^2.1A4	432,101
C₆².₂A₄ = C₁₂².C₃	φ: A₄/C₂² → C₃ ⊆ Aut C₆²	36	3	C6^2.2A4	432,102
C₆².₃A₄ = C₄²⋊He₃	φ: A₄/C₂² → C₃ ⊆ Aut C₆²	36	3	C6^2.3A4	432,103
C₆².₄A₄ = C₂×Q₈⋊3_-¹⁺²	φ: A₄/C₂² → C₃ ⊆ Aut C₆²	144		C6^2.4A4	432,335
C₆².₅A₄ = C₂×Q₈⋊He₃	φ: A₄/C₂² → C₃ ⊆ Aut C₆²	144		C6^2.5A4	432,336
C₆².₆A₄ = C₃²×C₄²⋊C₃	φ: A₄/C₂² → C₃ ⊆ Aut C₆²	108		C6^2.6A4	432,463
C₆².₇A₄ = C₂²×C₃².A₄	φ: A₄/C₂² → C₃ ⊆ Aut C₆²	36		C6^2.7A4	432,549
C₆².₈A₄ = C₃×C₂⁴⋊C₉	φ: A₄/C₂² → C₃ ⊆ Aut C₆²	108		C6^2.8A4	432,553
C₆².₉A₄ = C₆².A₄	φ: A₄/C₂² → C₃ ⊆ Aut C₆²	36		C6^2.9A4	432,554
C₆².₁₀A₄ = C₆×Q₈⋊C₉	central extension (φ=1)	432		C6^2.10A4	432,334
C₆².₁₁A₄ = C₂×C₆×C₃.A₄	central extension (φ=1)	108		C6^2.11A4	432,548
C₆².₁₂A₄ = C₃×C₆×SL₂(𝔽₃)	central extension (φ=1)	144		C6^2.12A4	432,698

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