Extensions 1→N→G→Q→1 with N=C₅×C₄²⋊₂C₂ and Q=C₂

Direct product G=N×Q with N=C₅×C₄²⋊₂C₂ and Q=C₂

		d	ρ	Label	ID
C₁₀×C₄²⋊₂C₂		160		C10xC4^2:2C2	320,1530

Semidirect products G=N:Q with N=C₅×C₄²⋊₂C₂ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(C₅×C₄²⋊₂C₂)⋊₁C₂ = C₄².₁₆₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄²⋊₂C₂	160	(C5xC4^2:2C2):1C2	320,1374
(C₅×C₄²⋊₂C₂)⋊₂C₂ = D₅×C₄²⋊₂C₂	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄²⋊₂C₂	80	(C5xC4^2:2C2):2C2	320,1375
(C₅×C₄²⋊₂C₂)⋊₃C₂ = C₄²⋊₂₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄²⋊₂C₂	80	(C5xC4^2:2C2):3C2	320,1376
(C₅×C₄²⋊₂C₂)⋊₄C₂ = C₄²⋊₂₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄²⋊₂C₂	80	(C5xC4^2:2C2):4C2	320,1377
(C₅×C₄²⋊₂C₂)⋊₅C₂ = C₄².₁₈₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄²⋊₂C₂	160	(C5xC4^2:2C2):5C2	320,1378
(C₅×C₄²⋊₂C₂)⋊₆C₂ = C₄².₁₆₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄²⋊₂C₂	160	(C5xC4^2:2C2):6C2	320,1379
(C₅×C₄²⋊₂C₂)⋊₇C₂ = C₄².₁₆₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄²⋊₂C₂	160	(C5xC4^2:2C2):7C2	320,1380
(C₅×C₄²⋊₂C₂)⋊₈C₂ = C₄².₁₆₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄²⋊₂C₂	160	(C5xC4^2:2C2):8C2	320,1381
(C₅×C₄²⋊₂C₂)⋊₉C₂ = C₄².₁₆₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄²⋊₂C₂	160	(C5xC4^2:2C2):9C2	320,1382
(C₅×C₄²⋊₂C₂)⋊₁₀C₂ = C₄²⋊₂₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄²⋊₂C₂	80	(C5xC4^2:2C2):10C2	320,1383
(C₅×C₄²⋊₂C₂)⋊₁₁C₂ = C₄².₁₆₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄²⋊₂C₂	160	(C5xC4^2:2C2):11C2	320,1384
(C₅×C₄²⋊₂C₂)⋊₁₂C₂ = C₅×C₂².₃₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄²⋊₂C₂	80	(C5xC4^2:2C2):12C2	320,1540
(C₅×C₄²⋊₂C₂)⋊₁₃C₂ = C₅×C₂².₃₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄²⋊₂C₂	160	(C5xC4^2:2C2):13C2	320,1541
(C₅×C₄²⋊₂C₂)⋊₁₄C₂ = C₅×C₂².₃₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄²⋊₂C₂	160	(C5xC4^2:2C2):14C2	320,1544
(C₅×C₄²⋊₂C₂)⋊₁₅C₂ = C₅×C₂².₄₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄²⋊₂C₂	80	(C5xC4^2:2C2):15C2	320,1553
(C₅×C₄²⋊₂C₂)⋊₁₆C₂ = C₅×C₂².₄₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄²⋊₂C₂	160	(C5xC4^2:2C2):16C2	320,1554
(C₅×C₄²⋊₂C₂)⋊₁₇C₂ = C₅×C₂².₄₇C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄²⋊₂C₂	160	(C5xC4^2:2C2):17C2	320,1555
(C₅×C₄²⋊₂C₂)⋊₁₈C₂ = C₅×C₂².₅₀C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄²⋊₂C₂	160	(C5xC4^2:2C2):18C2	320,1558
(C₅×C₄²⋊₂C₂)⋊₁₉C₂ = C₅×C₂².₅₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄²⋊₂C₂	80	(C5xC4^2:2C2):19C2	320,1562
(C₅×C₄²⋊₂C₂)⋊₂₀C₂ = C₅×C₂².₅₇C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄²⋊₂C₂	160	(C5xC4^2:2C2):20C2	320,1565
(C₅×C₄²⋊₂C₂)⋊₂₁C₂ = C₅×C₂³.₃₆C₂³	φ: trivial image	160	(C5xC4^2:2C2):21C2	320,1531

Non-split extensions G=N.Q with N=C₅×C₄²⋊₂C₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×C₄²⋊₂C₂).₁C₂ = C₄².₁₅₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄²⋊₂C₂	160		(C5xC4^2:2C2).1C2	320,1373
(C₅×C₄²⋊₂C₂).₂C₂ = C₅×C₂².₃₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄²⋊₂C₂	160		(C5xC4^2:2C2).2C2	320,1543

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Extensions 1→N→G→Q→1 with N=C5×C42⋊2C2 and Q=C2

Extensions 1→N→G→Q→1 with N=C₅×C₄²⋊₂C₂ and Q=C₂