Extensions 1→N→G→Q→1 with N=C₅×SD₁₆ and Q=C₂²

Direct product G=N×Q with N=C₅×SD₁₆ and Q=C₂²

		d	ρ	Label	ID
SD₁₆×C₂×C₁₀		160		SD16xC2xC10	320,1572

Semidirect products G=N:Q with N=C₅×SD₁₆ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×SD₁₆)⋊₁C₂² = D₅×C₈⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₅×SD₁₆	40	8+	(C5xSD16):1C2^2	320,1444
(C₅×SD₁₆)⋊₂C₂² = SD₁₆⋊D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×SD₁₆	80	8-	(C5xSD16):2C2^2	320,1445
(C₅×SD₁₆)⋊₃C₂² = D₈⋊₅D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×SD₁₆	80	8+	(C5xSD16):3C2^2	320,1446
(C₅×SD₁₆)⋊₄C₂² = D₈⋊₆D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×SD₁₆	80	8-	(C5xSD16):4C2^2	320,1447
(C₅×SD₁₆)⋊₅C₂² = D₅×C₈.C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₅×SD₁₆	80	8-	(C5xSD16):5C2^2	320,1448
(C₅×SD₁₆)⋊₆C₂² = D₄₀⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₅×SD₁₆	80	8+	(C5xSD16):6C2^2	320,1449
(C₅×SD₁₆)⋊₇C₂² = C₄₀.C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₅×SD₁₆	80	8+	(C5xSD16):7C2^2	320,1450
(C₅×SD₁₆)⋊₈C₂² = C₂×D₄₀⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₅×SD₁₆	80		(C5xSD16):8C2^2	320,1431
(C₅×SD₁₆)⋊₉C₂² = C₂×SD₁₆⋊D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅×SD₁₆	160		(C5xSD16):9C2^2	320,1432
(C₅×SD₁₆)⋊₁₀C₂² = Q₁₆⋊D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×SD₁₆	80	4	(C5xSD16):10C2^2	320,1440
(C₅×SD₁₆)⋊₁₁C₂² = D₈⋊₁₅D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×SD₁₆	80	4+	(C5xSD16):11C2^2	320,1441
(C₅×SD₁₆)⋊₁₂C₂² = C₂×D₅×SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₅×SD₁₆	80		(C5xSD16):12C2^2	320,1430
(C₅×SD₁₆)⋊₁₃C₂² = C₂×SD₁₆⋊₃D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅×SD₁₆	160		(C5xSD16):13C2^2	320,1433
(C₅×SD₁₆)⋊₁₄C₂² = D₂₀.₂₉D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₅×SD₁₆	80	4	(C5xSD16):14C2^2	320,1434
(C₅×SD₁₆)⋊₁₅C₂² = D₅×C₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₅×SD₁₆	80	4	(C5xSD16):15C2^2	320,1439
(C₅×SD₁₆)⋊₁₆C₂² = D₈⋊₁₁D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×SD₁₆	80	4	(C5xSD16):16C2^2	320,1442
(C₅×SD₁₆)⋊₁₇C₂² = C₁₀×C₈⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₅×SD₁₆	80		(C5xSD16):17C2^2	320,1575
(C₅×SD₁₆)⋊₁₈C₂² = C₁₀×C₈.C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₅×SD₁₆	160		(C5xSD16):18C2^2	320,1576
(C₅×SD₁₆)⋊₁₉C₂² = C₅×D₈⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₅×SD₁₆	80	4	(C5xSD16):19C2^2	320,1577
(C₅×SD₁₆)⋊₂₀C₂² = C₅×D₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₅×SD₁₆	80	4	(C5xSD16):20C2^2	320,1578
(C₅×SD₁₆)⋊₂₁C₂² = C₅×D₄○SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₅×SD₁₆	80	4	(C5xSD16):21C2^2	320,1579
(C₅×SD₁₆)⋊₂₂C₂² = C₁₀×C₄○D₈	φ: trivial image	160		(C5xSD16):22C2^2	320,1574

Non-split extensions G=N.Q with N=C₅×SD₁₆ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×SD₁₆).C₂² = D₂₀.₄₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₅×SD₁₆	160	8-	(C5xSD16).C2^2	320,1451
(C₅×SD₁₆).₂C₂² = D₂₀.₄₇D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₅×SD₁₆	160	4-	(C5xSD16).2C2^2	320,1443
(C₅×SD₁₆).₃C₂² = C₅×Q₈○D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₅×SD₁₆	160	4	(C5xSD16).3C2^2	320,1580

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Extensions 1→N→G→Q→1 with N=C5×SD16 and Q=C22

Extensions 1→N→G→Q→1 with N=C₅×SD₁₆ and Q=C₂²