Extensions 1→N→G→Q→1 with N=C₅×Q₁₆ and Q=C₂²

Direct product G=N×Q with N=C₅×Q₁₆ and Q=C₂²

		d	ρ	Label	ID
Q₁₆×C₂×C₁₀		320		Q16xC2xC10	320,1573

Semidirect products G=N:Q with N=C₅×Q₁₆ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Q₁₆)⋊₁C₂² = D₅×C₈.C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₅×Q₁₆	80	8-	(C5xQ16):1C2^2	320,1448
(C₅×Q₁₆)⋊₂C₂² = D₄₀⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₅×Q₁₆	80	8+	(C5xQ16):2C2^2	320,1449
(C₅×Q₁₆)⋊₃C₂² = C₄₀.C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₅×Q₁₆	80	8+	(C5xQ16):3C2^2	320,1450
(C₅×Q₁₆)⋊₄C₂² = D₅×SD₃₂	φ: C₂²/C₁ → C₂² ⊆ Out C₅×Q₁₆	80	4	(C5xQ16):4C2^2	320,540
(C₅×Q₁₆)⋊₅C₂² = C₁₆⋊D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×Q₁₆	80	4+	(C5xQ16):5C2^2	320,541
(C₅×Q₁₆)⋊₆C₂² = C₂×C₅⋊SD₃₂	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Q₁₆	160		(C5xQ16):6C2^2	320,805
(C₅×Q₁₆)⋊₇C₂² = D₈⋊D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Q₁₆	80	4+	(C5xQ16):7C2^2	320,820
(C₅×Q₁₆)⋊₈C₂² = C₂×D₅×Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Q₁₆	160		(C5xQ16):8C2^2	320,1435
(C₅×Q₁₆)⋊₉C₂² = C₂×Q₈.D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Q₁₆	160		(C5xQ16):9C2^2	320,1437
(C₅×Q₁₆)⋊₁₀C₂² = D₅×C₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Q₁₆	80	4	(C5xQ16):10C2^2	320,1439
(C₅×Q₁₆)⋊₁₁C₂² = D₈⋊₁₅D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Q₁₆	80	4+	(C5xQ16):11C2^2	320,1441
(C₅×Q₁₆)⋊₁₂C₂² = C₂×Q₁₆⋊D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Q₁₆	160		(C5xQ16):12C2^2	320,1436
(C₅×Q₁₆)⋊₁₃C₂² = Q₁₆⋊D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Q₁₆	80	4	(C5xQ16):13C2^2	320,1440
(C₅×Q₁₆)⋊₁₄C₂² = D₈⋊₁₁D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Q₁₆	80	4	(C5xQ16):14C2^2	320,1442
(C₅×Q₁₆)⋊₁₅C₂² = C₁₀×SD₃₂	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Q₁₆	160		(C5xQ16):15C2^2	320,1007
(C₅×Q₁₆)⋊₁₆C₂² = C₅×C₁₆⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Q₁₆	80	4	(C5xQ16):16C2^2	320,1010
(C₅×Q₁₆)⋊₁₇C₂² = C₁₀×C₈.C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Q₁₆	160		(C5xQ16):17C2^2	320,1576
(C₅×Q₁₆)⋊₁₈C₂² = C₅×D₈⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Q₁₆	80	4	(C5xQ16):18C2^2	320,1577
(C₅×Q₁₆)⋊₁₉C₂² = C₅×D₄○SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Q₁₆	80	4	(C5xQ16):19C2^2	320,1579
(C₅×Q₁₆)⋊₂₀C₂² = C₁₀×C₄○D₈	φ: trivial image	160		(C5xQ16):20C2^2	320,1574
(C₅×Q₁₆)⋊₂₁C₂² = C₅×D₄○D₈	φ: trivial image	80	4	(C5xQ16):21C2^2	320,1578

Non-split extensions G=N.Q with N=C₅×Q₁₆ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Q₁₆).₁C₂² = D₂₀.₄₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₅×Q₁₆	160	8-	(C5xQ16).1C2^2	320,1451
(C₅×Q₁₆).₂C₂² = SD₃₂⋊D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₅×Q₁₆	160	4-	(C5xQ16).2C2^2	320,542
(C₅×Q₁₆).₃C₂² = SD₃₂⋊₃D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₅×Q₁₆	160	4	(C5xQ16).3C2^2	320,543
(C₅×Q₁₆).₄C₂² = D₅×Q₃₂	φ: C₂²/C₁ → C₂² ⊆ Out C₅×Q₁₆	160	4-	(C5xQ16).4C2^2	320,544
(C₅×Q₁₆).₅C₂² = Q₃₂⋊D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₅×Q₁₆	160	4	(C5xQ16).5C2^2	320,545
(C₅×Q₁₆).₆C₂² = D₈₀⋊₅C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₅×Q₁₆	160	4+	(C5xQ16).6C2^2	320,546
(C₅×Q₁₆).₇C₂² = Q₁₆.D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Q₁₆	160	4	(C5xQ16).7C2^2	320,806
(C₅×Q₁₆).₈C₂² = C₂×C₅⋊Q₃₂	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Q₁₆	320		(C5xQ16).8C2^2	320,807
(C₅×Q₁₆).₉C₂² = C₄₀.₃₀C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Q₁₆	160	4	(C5xQ16).9C2^2	320,821
(C₅×Q₁₆).₁₀C₂² = C₄₀.₃₁C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Q₁₆	160	4-	(C5xQ16).10C2^2	320,822
(C₅×Q₁₆).₁₁C₂² = D₂₀.₃₀D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Q₁₆	160	4	(C5xQ16).11C2^2	320,1438
(C₅×Q₁₆).₁₂C₂² = D₂₀.₄₇D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Q₁₆	160	4-	(C5xQ16).12C2^2	320,1443
(C₅×Q₁₆).₁₃C₂² = C₁₀×Q₃₂	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Q₁₆	320		(C5xQ16).13C2^2	320,1008
(C₅×Q₁₆).₁₄C₂² = C₅×C₄○D₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Q₁₆	160	2	(C5xQ16).14C2^2	320,1009
(C₅×Q₁₆).₁₅C₂² = C₅×Q₃₂⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Q₁₆	160	4	(C5xQ16).15C2^2	320,1011
(C₅×Q₁₆).₁₆C₂² = C₅×Q₈○D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Q₁₆	160	4	(C5xQ16).16C2^2	320,1580

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Extensions 1→N→G→Q→1 with N=C5×Q16 and Q=C22

Extensions 1→N→G→Q→1 with N=C₅×Q₁₆ and Q=C₂²