Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂²x3_-¹⁺²

Direct product G=NxQ with N=C₂² and Q=C₂²x3_-¹⁺²

		d	ρ	Label	ID
C₂⁴x3_-¹⁺²		144		C2^4xES-(3,1)	432,564

Semidirect products G=N:Q with N=C₂² and Q=C₂²x3_-¹⁺²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²:₁(C₂²x3_-¹⁺²) = C₂²xC₉:A₄	φ: C₂²x3_-¹⁺²/C₂xC₁₈ → C₃ ⊆ Aut C₂²	108		C2^2:1(C2^2xES-(3,1))	432,547
C₂²:₂(C₂²x3_-¹⁺²) = C₂²xC₃².A₄	φ: C₂²x3_-¹⁺²/C₆² → C₃ ⊆ Aut C₂²	36		C2^2:2(C2^2xES-(3,1))	432,549
C₂²:₃(C₂²x3_-¹⁺²) = C₂xD₄x3_-¹⁺²	φ: C₂²x3_-¹⁺²/C₂x3_-¹⁺² → C₂ ⊆ Aut C₂²	72		C2^2:3(C2^2xES-(3,1))	432,405

Non-split extensions G=N.Q with N=C₂² and Q=C₂²x3_-¹⁺²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₂²x3_-¹⁺²) = C₄oD₄x3_-¹⁺²	φ: C₂²x3_-¹⁺²/C₂x3_-¹⁺² → C₂ ⊆ Aut C₂²	72	6	C2^2.(C2^2xES-(3,1))	432,411
C₂².₂(C₂²x3_-¹⁺²) = C₄²x3_-¹⁺²	central extension (φ=1)	144		C2^2.2(C2^2xES-(3,1))	432,202
C₂².₃(C₂²x3_-¹⁺²) = C₂²:C₄x3_-¹⁺²	central extension (φ=1)	72		C2^2.3(C2^2xES-(3,1))	432,205
C₂².₄(C₂²x3_-¹⁺²) = C₄:C₄x3_-¹⁺²	central extension (φ=1)	144		C2^2.4(C2^2xES-(3,1))	432,208
C₂².₅(C₂²x3_-¹⁺²) = C₂²xC₄x3_-¹⁺²	central extension (φ=1)	144		C2^2.5(C2^2xES-(3,1))	432,402
C₂².₆(C₂²x3_-¹⁺²) = C₂xQ₈x3_-¹⁺²	central extension (φ=1)	144		C2^2.6(C2^2xES-(3,1))	432,408

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