Extensions 1→N→G→Q→1 with N=C₄×3_-¹⁺² and Q=C₂²

Direct product G=N×Q with N=C₄×3_-¹⁺² and Q=C₂²

		d	ρ	Label	ID
C₂²×C₄×3_-¹⁺²		144		C2^2xC4xES-(3,1)	432,402

Semidirect products G=N:Q with N=C₄×3_-¹⁺² and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×3_-¹⁺²)⋊C₂² = D₄×C₉⋊C₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄×3_-¹⁺²	36	12+	(C4xES-(3,1)):C2^2	432,362
(C₄×3_-¹⁺²)⋊₂C₂² = C₂×D₃₆⋊C₃	φ: C₂²/C₂ → C₂ ⊆ Out C₄×3_-¹⁺²	72		(C4xES-(3,1)):2C2^2	432,354
(C₄×3_-¹⁺²)⋊₃C₂² = C₂×C₄×C₉⋊C₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄×3_-¹⁺²	72		(C4xES-(3,1)):3C2^2	432,353
(C₄×3_-¹⁺²)⋊₄C₂² = C₂×D₄×3_-¹⁺²	φ: C₂²/C₂ → C₂ ⊆ Out C₄×3_-¹⁺²	72		(C4xES-(3,1)):4C2^2	432,405

Non-split extensions G=N.Q with N=C₄×3_-¹⁺² and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×3_-¹⁺²).₁C₂² = Dic₁₈⋊C₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄×3_-¹⁺²	72	12-	(C4xES-(3,1)).1C2^2	432,154
(C₄×3_-¹⁺²).₂C₂² = D₃₆⋊C₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄×3_-¹⁺²	72	12+	(C4xES-(3,1)).2C2^2	432,155
(C₄×3_-¹⁺²).₃C₂² = Dic₁₈.C₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄×3_-¹⁺²	144	12-	(C4xES-(3,1)).3C2^2	432,162
(C₄×3_-¹⁺²).₄C₂² = D₃₆.C₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄×3_-¹⁺²	72	12+	(C4xES-(3,1)).4C2^2	432,163
(C₄×3_-¹⁺²).₅C₂² = Dic₁₈⋊₂C₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄×3_-¹⁺²	72	12-	(C4xES-(3,1)).5C2^2	432,363
(C₄×3_-¹⁺²).₆C₂² = Q₈×C₉⋊C₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄×3_-¹⁺²	72	12-	(C4xES-(3,1)).6C2^2	432,370
(C₄×3_-¹⁺²).₇C₂² = D₃₆⋊₃C₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄×3_-¹⁺²	72	12+	(C4xES-(3,1)).7C2^2	432,371
(C₄×3_-¹⁺²).₈C₂² = C₇₂.C₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄×3_-¹⁺²	144	6-	(C4xES-(3,1)).8C2^2	432,119
(C₄×3_-¹⁺²).₉C₂² = C₇₂⋊₂C₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄×3_-¹⁺²	72	6	(C4xES-(3,1)).9C2^2	432,122
(C₄×3_-¹⁺²).₁₀C₂² = D₇₂⋊C₃	φ: C₂²/C₂ → C₂ ⊆ Out C₄×3_-¹⁺²	72	6+	(C4xES-(3,1)).10C2^2	432,123
(C₄×3_-¹⁺²).₁₁C₂² = C₂×C₃₆.C₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄×3_-¹⁺²	144		(C4xES-(3,1)).11C2^2	432,352
(C₄×3_-¹⁺²).₁₂C₂² = C₈×C₉⋊C₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄×3_-¹⁺²	72	6	(C4xES-(3,1)).12C2^2	432,120
(C₄×3_-¹⁺²).₁₃C₂² = C₇₂⋊C₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄×3_-¹⁺²	72	6	(C4xES-(3,1)).13C2^2	432,121
(C₄×3_-¹⁺²).₁₄C₂² = C₂×C₉⋊C₂₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄×3_-¹⁺²	144		(C4xES-(3,1)).14C2^2	432,142
(C₄×3_-¹⁺²).₁₅C₂² = C₃₆.C₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₄×3_-¹⁺²	72	6	(C4xES-(3,1)).15C2^2	432,143
(C₄×3_-¹⁺²).₁₆C₂² = D₃₆⋊₆C₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄×3_-¹⁺²	72	6	(C4xES-(3,1)).16C2^2	432,355
(C₄×3_-¹⁺²).₁₇C₂² = D₈×3_-¹⁺²	φ: C₂²/C₂ → C₂ ⊆ Out C₄×3_-¹⁺²	72	6	(C4xES-(3,1)).17C2^2	432,217
(C₄×3_-¹⁺²).₁₈C₂² = SD₁₆×3_-¹⁺²	φ: C₂²/C₂ → C₂ ⊆ Out C₄×3_-¹⁺²	72	6	(C4xES-(3,1)).18C2^2	432,220
(C₄×3_-¹⁺²).₁₉C₂² = Q₁₆×3_-¹⁺²	φ: C₂²/C₂ → C₂ ⊆ Out C₄×3_-¹⁺²	144	6	(C4xES-(3,1)).19C2^2	432,223
(C₄×3_-¹⁺²).₂₀C₂² = C₂×Q₈×3_-¹⁺²	φ: C₂²/C₂ → C₂ ⊆ Out C₄×3_-¹⁺²	144		(C4xES-(3,1)).20C2^2	432,408
(C₄×3_-¹⁺²).₂₁C₂² = C₂×C₈×3_-¹⁺²	φ: trivial image	144		(C4xES-(3,1)).21C2^2	432,211
(C₄×3_-¹⁺²).₂₂C₂² = M₄(2)×3_-¹⁺²	φ: trivial image	72	6	(C4xES-(3,1)).22C2^2	432,214
(C₄×3_-¹⁺²).₂₃C₂² = C₄○D₄×3_-¹⁺²	φ: trivial image	72	6	(C4xES-(3,1)).23C2^2	432,411

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Extensions 1→N→G→Q→1 with N=C4×3- 1+2 and Q=C22

Extensions 1→N→G→Q→1 with N=C₄×3_-¹⁺² and Q=C₂²