Extensions 1→N→G→Q→1 with N=C₂×3_-¹⁺² and Q=D₄

Direct product G=N×Q with N=C₂×3_-¹⁺² and Q=D₄

		d	ρ	Label	ID
C₂×D₄×3_-¹⁺²		72		C2xD4xES-(3,1)	432,405

Semidirect products G=N:Q with N=C₂×3_-¹⁺² and Q=D₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×3_-¹⁺²)⋊₁D₄ = C₂×D₃₆⋊C₃	φ: D₄/C₄ → C₂ ⊆ Out C₂×3_-¹⁺²	72		(C2xES-(3,1)):1D4	432,354
(C₂×3_-¹⁺²)⋊₂D₄ = C₂×Dic₉⋊C₆	φ: D₄/C₂² → C₂ ⊆ Out C₂×3_-¹⁺²	72		(C2xES-(3,1)):2D4	432,379

Non-split extensions G=N.Q with N=C₂×3_-¹⁺² and Q=D₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×3_-¹⁺²).₁D₄ = C₇₂.C₆	φ: D₄/C₄ → C₂ ⊆ Out C₂×3_-¹⁺²	144	6-	(C2xES-(3,1)).1D4	432,119
(C₂×3_-¹⁺²).₂D₄ = C₇₂⋊₂C₆	φ: D₄/C₄ → C₂ ⊆ Out C₂×3_-¹⁺²	72	6	(C2xES-(3,1)).2D4	432,122
(C₂×3_-¹⁺²).₃D₄ = D₇₂⋊C₃	φ: D₄/C₄ → C₂ ⊆ Out C₂×3_-¹⁺²	72	6+	(C2xES-(3,1)).3D4	432,123
(C₂×3_-¹⁺²).₄D₄ = C₃₆⋊C₁₂	φ: D₄/C₄ → C₂ ⊆ Out C₂×3_-¹⁺²	144		(C2xES-(3,1)).4D4	432,146
(C₂×3_-¹⁺²).₅D₄ = D₁₈⋊C₁₂	φ: D₄/C₄ → C₂ ⊆ Out C₂×3_-¹⁺²	72		(C2xES-(3,1)).5D4	432,147
(C₂×3_-¹⁺²).₆D₄ = Dic₉⋊C₁₂	φ: D₄/C₂² → C₂ ⊆ Out C₂×3_-¹⁺²	144		(C2xES-(3,1)).6D4	432,145
(C₂×3_-¹⁺²).₇D₄ = Dic₁₈⋊C₆	φ: D₄/C₂² → C₂ ⊆ Out C₂×3_-¹⁺²	72	12-	(C2xES-(3,1)).7D4	432,154
(C₂×3_-¹⁺²).₈D₄ = D₃₆⋊C₆	φ: D₄/C₂² → C₂ ⊆ Out C₂×3_-¹⁺²	72	12+	(C2xES-(3,1)).8D4	432,155
(C₂×3_-¹⁺²).₉D₄ = Dic₁₈.C₆	φ: D₄/C₂² → C₂ ⊆ Out C₂×3_-¹⁺²	144	12-	(C2xES-(3,1)).9D4	432,162
(C₂×3_-¹⁺²).₁₀D₄ = D₃₆.C₆	φ: D₄/C₂² → C₂ ⊆ Out C₂×3_-¹⁺²	72	12+	(C2xES-(3,1)).10D4	432,163
(C₂×3_-¹⁺²).₁₁D₄ = C₆².₂₇D₆	φ: D₄/C₂² → C₂ ⊆ Out C₂×3_-¹⁺²	72		(C2xES-(3,1)).11D4	432,167
(C₂×3_-¹⁺²).₁₂D₄ = C₂²⋊C₄×3_-¹⁺²	φ: trivial image	72		(C2xES-(3,1)).12D4	432,205
(C₂×3_-¹⁺²).₁₃D₄ = C₄⋊C₄×3_-¹⁺²	φ: trivial image	144		(C2xES-(3,1)).13D4	432,208
(C₂×3_-¹⁺²).₁₄D₄ = D₈×3_-¹⁺²	φ: trivial image	72	6	(C2xES-(3,1)).14D4	432,217
(C₂×3_-¹⁺²).₁₅D₄ = SD₁₆×3_-¹⁺²	φ: trivial image	72	6	(C2xES-(3,1)).15D4	432,220
(C₂×3_-¹⁺²).₁₆D₄ = Q₁₆×3_-¹⁺²	φ: trivial image	144	6	(C2xES-(3,1)).16D4	432,223

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