Extensions 1→N→G→Q→1 with N=C₂×3_-¹⁺² and Q=C₂³

Direct product G=N×Q with N=C₂×3_-¹⁺² and Q=C₂³

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

Semidirect products G=N:Q with N=C₂×3_-¹⁺² and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×3_-¹⁺²)⋊C₂³ = C₂³×C₉⋊C₆	φ: C₂³/C₂² → C₂ ⊆ Out C₂×3_-¹⁺²	72		(C2xES-(3,1)):C2^3	432,559

Non-split extensions G=N.Q with N=C₂×3_-¹⁺² and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×3_-¹⁺²).₁C₂³ = C₂×C₃₆.C₆	φ: C₂³/C₂² → C₂ ⊆ Out C₂×3_-¹⁺²	144		(C2xES-(3,1)).1C2^3	432,352
(C₂×3_-¹⁺²).₂C₂³ = C₂×C₄×C₉⋊C₆	φ: C₂³/C₂² → C₂ ⊆ Out C₂×3_-¹⁺²	72		(C2xES-(3,1)).2C2^3	432,353
(C₂×3_-¹⁺²).₃C₂³ = C₂×D₃₆⋊C₃	φ: C₂³/C₂² → C₂ ⊆ Out C₂×3_-¹⁺²	72		(C2xES-(3,1)).3C2^3	432,354
(C₂×3_-¹⁺²).₄C₂³ = D₃₆⋊₆C₆	φ: C₂³/C₂² → C₂ ⊆ Out C₂×3_-¹⁺²	72	6	(C2xES-(3,1)).4C2^3	432,355
(C₂×3_-¹⁺²).₅C₂³ = D₄×C₉⋊C₆	φ: C₂³/C₂² → C₂ ⊆ Out C₂×3_-¹⁺²	36	12+	(C2xES-(3,1)).5C2^3	432,362
(C₂×3_-¹⁺²).₆C₂³ = Dic₁₈⋊₂C₆	φ: C₂³/C₂² → C₂ ⊆ Out C₂×3_-¹⁺²	72	12-	(C2xES-(3,1)).6C2^3	432,363
(C₂×3_-¹⁺²).₇C₂³ = Q₈×C₉⋊C₆	φ: C₂³/C₂² → C₂ ⊆ Out C₂×3_-¹⁺²	72	12-	(C2xES-(3,1)).7C2^3	432,370
(C₂×3_-¹⁺²).₈C₂³ = D₃₆⋊₃C₆	φ: C₂³/C₂² → C₂ ⊆ Out C₂×3_-¹⁺²	72	12+	(C2xES-(3,1)).8C2^3	432,371
(C₂×3_-¹⁺²).₉C₂³ = C₂²×C₉⋊C₁₂	φ: C₂³/C₂² → C₂ ⊆ Out C₂×3_-¹⁺²	144		(C2xES-(3,1)).9C2^3	432,378
(C₂×3_-¹⁺²).₁₀C₂³ = C₂×Dic₉⋊C₆	φ: C₂³/C₂² → C₂ ⊆ Out C₂×3_-¹⁺²	72		(C2xES-(3,1)).10C2^3	432,379
(C₂×3_-¹⁺²).₁₁C₂³ = C₂²×C₄×3_-¹⁺²	φ: trivial image	144		(C2xES-(3,1)).11C2^3	432,402
(C₂×3_-¹⁺²).₁₂C₂³ = C₂×D₄×3_-¹⁺²	φ: trivial image	72		(C2xES-(3,1)).12C2^3	432,405
(C₂×3_-¹⁺²).₁₃C₂³ = C₂×Q₈×3_-¹⁺²	φ: trivial image	144		(C2xES-(3,1)).13C2^3	432,408
(C₂×3_-¹⁺²).₁₄C₂³ = C₄○D₄×3_-¹⁺²	φ: trivial image	72	6	(C2xES-(3,1)).14C2^3	432,411

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