Extensions 1→N→G→Q→1 with N=C₂² and Q=C₆²

Direct product G=N×Q with N=C₂² and Q=C₆²

		d	ρ	Label	ID
C₂²×C₆²		144		C2^2xC6^2	144,197

Semidirect products G=N:Q with N=C₂² and Q=C₆²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊C₆² = A₄×C₂×C₆	φ: C₆²/C₂×C₆ → C₃ ⊆ Aut C₂²	36		C2^2:C6^2	144,193
C₂²⋊₂C₆² = D₄×C₃×C₆	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₂²	72		C2^2:2C6^2	144,179

Non-split extensions G=N.Q with N=C₂² and Q=C₆²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².C₆² = C₃²×C₄○D₄	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₂²	72		C2^2.C6^2	144,181
C₂².₂C₆² = C₃²×C₂²⋊C₄	central extension (φ=1)	72		C2^2.2C6^2	144,102
C₂².₃C₆² = C₃²×C₄⋊C₄	central extension (φ=1)	144		C2^2.3C6^2	144,103
C₂².₄C₆² = Q₈×C₃×C₆	central extension (φ=1)	144		C2^2.4C6^2	144,180

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