Extensions 1→N→G→Q→1 with N=C₂²×3_-¹⁺² and Q=C₂²

Direct product G=N×Q with N=C₂²×3_-¹⁺² and Q=C₂²

		d	ρ	Label	ID
C₂⁴×3_-¹⁺²		144		C2^4xES-(3,1)	432,564

Semidirect products G=N:Q with N=C₂²×3_-¹⁺² and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×3_-¹⁺²)⋊C₂² = D₄×C₉⋊C₆	φ: C₂²/C₁ → C₂² ⊆ Out C₂²×3_-¹⁺²	36	12+	(C2^2xES-(3,1)):C2^2	432,362
(C₂²×3_-¹⁺²)⋊₂C₂² = C₂×Dic₉⋊C₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂²×3_-¹⁺²	72		(C2^2xES-(3,1)):2C2^2	432,379
(C₂²×3_-¹⁺²)⋊₃C₂² = C₂³×C₉⋊C₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂²×3_-¹⁺²	72		(C2^2xES-(3,1)):3C2^2	432,559
(C₂²×3_-¹⁺²)⋊₄C₂² = C₂×D₄×3_-¹⁺²	φ: C₂²/C₂ → C₂ ⊆ Out C₂²×3_-¹⁺²	72		(C2^2xES-(3,1)):4C2^2	432,405

Non-split extensions G=N.Q with N=C₂²×3_-¹⁺² and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×3_-¹⁺²).C₂² = Dic₁₈⋊₂C₆	φ: C₂²/C₁ → C₂² ⊆ Out C₂²×3_-¹⁺²	72	12-	(C2^2xES-(3,1)).C2^2	432,363
(C₂²×3_-¹⁺²).₂C₂² = C₄×C₉⋊C₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₂²×3_-¹⁺²	144		(C2^2xES-(3,1)).2C2^2	432,144
(C₂²×3_-¹⁺²).₃C₂² = Dic₉⋊C₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₂²×3_-¹⁺²	144		(C2^2xES-(3,1)).3C2^2	432,145
(C₂²×3_-¹⁺²).₄C₂² = C₃₆⋊C₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₂²×3_-¹⁺²	144		(C2^2xES-(3,1)).4C2^2	432,146
(C₂²×3_-¹⁺²).₅C₂² = D₁₈⋊C₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₂²×3_-¹⁺²	72		(C2^2xES-(3,1)).5C2^2	432,147
(C₂²×3_-¹⁺²).₆C₂² = C₆².₂₇D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂²×3_-¹⁺²	72		(C2^2xES-(3,1)).6C2^2	432,167
(C₂²×3_-¹⁺²).₇C₂² = C₂×C₃₆.C₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂²×3_-¹⁺²	144		(C2^2xES-(3,1)).7C2^2	432,352
(C₂²×3_-¹⁺²).₈C₂² = C₂×C₄×C₉⋊C₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂²×3_-¹⁺²	72		(C2^2xES-(3,1)).8C2^2	432,353
(C₂²×3_-¹⁺²).₉C₂² = C₂×D₃₆⋊C₃	φ: C₂²/C₂ → C₂ ⊆ Out C₂²×3_-¹⁺²	72		(C2^2xES-(3,1)).9C2^2	432,354
(C₂²×3_-¹⁺²).₁₀C₂² = D₃₆⋊₆C₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂²×3_-¹⁺²	72	6	(C2^2xES-(3,1)).10C2^2	432,355
(C₂²×3_-¹⁺²).₁₁C₂² = C₂²×C₉⋊C₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₂²×3_-¹⁺²	144		(C2^2xES-(3,1)).11C2^2	432,378
(C₂²×3_-¹⁺²).₁₂C₂² = C₄○D₄×3_-¹⁺²	φ: C₂²/C₂ → C₂ ⊆ Out C₂²×3_-¹⁺²	72	6	(C2^2xES-(3,1)).12C2^2	432,411
(C₂²×3_-¹⁺²).₁₃C₂² = C₄²×3_-¹⁺²	φ: trivial image	144		(C2^2xES-(3,1)).13C2^2	432,202
(C₂²×3_-¹⁺²).₁₄C₂² = C₂²⋊C₄×3_-¹⁺²	φ: trivial image	72		(C2^2xES-(3,1)).14C2^2	432,205
(C₂²×3_-¹⁺²).₁₅C₂² = C₄⋊C₄×3_-¹⁺²	φ: trivial image	144		(C2^2xES-(3,1)).15C2^2	432,208
(C₂²×3_-¹⁺²).₁₆C₂² = C₂²×C₄×3_-¹⁺²	φ: trivial image	144		(C2^2xES-(3,1)).16C2^2	432,402
(C₂²×3_-¹⁺²).₁₇C₂² = C₂×Q₈×3_-¹⁺²	φ: trivial image	144		(C2^2xES-(3,1)).17C2^2	432,408

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