Extensions 1→N→G→Q→1 with N=C₅×D₈ and Q=C₂²

Direct product G=N×Q with N=C₅×D₈ and Q=C₂²

		d	ρ	Label	ID
D₈×C₂×C₁₀		160		D8xC2xC10	320,1571

Semidirect products G=N:Q with N=C₅×D₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₈)⋊₁C₂² = D₅×C₈⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₈	40	8+	(C5xD8):1C2^2	320,1444
(C₅×D₈)⋊₂C₂² = SD₁₆⋊D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₈	80	8-	(C5xD8):2C2^2	320,1445
(C₅×D₈)⋊₃C₂² = D₈⋊₅D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₈	80	8+	(C5xD8):3C2^2	320,1446
(C₅×D₈)⋊₄C₂² = D₈⋊₆D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₈	80	8-	(C5xD8):4C2^2	320,1447
(C₅×D₈)⋊₅C₂² = D₅×D₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₈	80	4+	(C5xD8):5C2^2	320,537
(C₅×D₈)⋊₆C₂² = D₁₆⋊D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₈	80	4	(C5xD8):6C2^2	320,538
(C₅×D₈)⋊₇C₂² = C₂×C₅⋊D₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₈	160		(C5xD8):7C2^2	320,773
(C₅×D₈)⋊₈C₂² = D₈⋊D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₈	80	4+	(C5xD8):8C2^2	320,820
(C₅×D₈)⋊₉C₂² = C₂×D₅×D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₈	80		(C5xD8):9C2^2	320,1426
(C₅×D₈)⋊₁₀C₂² = C₂×D₈⋊₃D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₈	160		(C5xD8):10C2^2	320,1428
(C₅×D₈)⋊₁₁C₂² = D₈⋊₁₃D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₈	80	4	(C5xD8):11C2^2	320,1429
(C₅×D₈)⋊₁₂C₂² = D₅×C₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₈	80	4	(C5xD8):12C2^2	320,1439
(C₅×D₈)⋊₁₃C₂² = D₈⋊₁₅D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₈	80	4+	(C5xD8):13C2^2	320,1441
(C₅×D₈)⋊₁₄C₂² = C₂×D₈⋊D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₈	80		(C5xD8):14C2^2	320,1427
(C₅×D₈)⋊₁₅C₂² = Q₁₆⋊D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₈	80	4	(C5xD8):15C2^2	320,1440
(C₅×D₈)⋊₁₆C₂² = D₈⋊₁₁D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₈	80	4	(C5xD8):16C2^2	320,1442
(C₅×D₈)⋊₁₇C₂² = C₁₀×D₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₈	160		(C5xD8):17C2^2	320,1006
(C₅×D₈)⋊₁₈C₂² = C₅×C₁₆⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₈	80	4	(C5xD8):18C2^2	320,1010
(C₅×D₈)⋊₁₉C₂² = C₁₀×C₈⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₈	80		(C5xD8):19C2^2	320,1575
(C₅×D₈)⋊₂₀C₂² = C₅×D₈⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₈	80	4	(C5xD8):20C2^2	320,1577
(C₅×D₈)⋊₂₁C₂² = C₅×D₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₈	80	4	(C5xD8):21C2^2	320,1578
(C₅×D₈)⋊₂₂C₂² = C₅×D₄○SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₈	80	4	(C5xD8):22C2^2	320,1579
(C₅×D₈)⋊₂₃C₂² = C₁₀×C₄○D₈	φ: trivial image	160		(C5xD8):23C2^2	320,1574

Non-split extensions G=N.Q with N=C₅×D₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₈).₁C₂² = D₁₆⋊₃D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₈	160	4-	(C5xD8).1C2^2	320,539
(C₅×D₈).₂C₂² = D₅×SD₃₂	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₈	80	4	(C5xD8).2C2^2	320,540
(C₅×D₈).₃C₂² = C₁₆⋊D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₈	80	4+	(C5xD8).3C2^2	320,541
(C₅×D₈).₄C₂² = SD₃₂⋊D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₈	160	4-	(C5xD8).4C2^2	320,542
(C₅×D₈).₅C₂² = SD₃₂⋊₃D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₅×D₈	160	4	(C5xD8).5C2^2	320,543
(C₅×D₈).₆C₂² = D₈.D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₈	80	4	(C5xD8).6C2^2	320,774
(C₅×D₈).₇C₂² = C₂×D₈.D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₈	160		(C5xD8).7C2^2	320,775
(C₅×D₈).₈C₂² = C₄₀.₃₀C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₈	160	4	(C5xD8).8C2^2	320,821
(C₅×D₈).₉C₂² = C₄₀.₃₁C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₈	160	4-	(C5xD8).9C2^2	320,822
(C₅×D₈).₁₀C₂² = D₂₀.₄₇D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₈	160	4-	(C5xD8).10C2^2	320,1443
(C₅×D₈).₁₁C₂² = C₁₀×SD₃₂	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₈	160		(C5xD8).11C2^2	320,1007
(C₅×D₈).₁₂C₂² = C₅×C₄○D₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₈	160	2	(C5xD8).12C2^2	320,1009
(C₅×D₈).₁₃C₂² = C₅×Q₃₂⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₅×D₈	160	4	(C5xD8).13C2^2	320,1011
(C₅×D₈).₁₄C₂² = C₅×Q₈○D₈	φ: trivial image	160	4	(C5xD8).14C2^2	320,1580

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Extensions 1→N→G→Q→1 with N=C5×D8 and Q=C22

Extensions 1→N→G→Q→1 with N=C₅×D₈ and Q=C₂²