Extensions 1→N→G→Q→1 with N=C₅×M₄(2) and Q=C₂²

Direct product G=N×Q with N=C₅×M₄(2) and Q=C₂²

		d	ρ	Label	ID
M₄(2)×C₂×C₁₀		160		M4(2)xC2xC10	320,1568

Semidirect products G=N:Q with N=C₅×M₄(2) and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×M₄(2))⋊₁C₂² = D₅×C₈⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₅×M₄(2)	40	8+	(C5xM4(2)):1C2^2	320,1444
(C₅×M₄(2))⋊₂C₂² = SD₁₆⋊D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×M₄(2)	80	8-	(C5xM4(2)):2C2^2	320,1445
(C₅×M₄(2))⋊₃C₂² = D₈⋊₅D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×M₄(2)	80	8+	(C5xM4(2)):3C2^2	320,1446
(C₅×M₄(2))⋊₄C₂² = D₈⋊₆D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×M₄(2)	80	8-	(C5xM4(2)):4C2^2	320,1447
(C₅×M₄(2))⋊₅C₂² = D₅×C₈.C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₅×M₄(2)	80	8-	(C5xM4(2)):5C2^2	320,1448
(C₅×M₄(2))⋊₆C₂² = D₄₀⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₅×M₄(2)	80	8+	(C5xM4(2)):6C2^2	320,1449
(C₅×M₄(2))⋊₇C₂² = C₄₀.C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₅×M₄(2)	80	8+	(C5xM4(2)):7C2^2	320,1450
(C₅×M₄(2))⋊₈C₂² = D₂₀.₁D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₅×M₄(2)	80	8-	(C5xM4(2)):8C2^2	320,373
(C₅×M₄(2))⋊₉C₂² = D₂₀⋊₁D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₅×M₄(2)	40	8+	(C5xM4(2)):9C2^2	320,374
(C₅×M₄(2))⋊₁₀C₂² = D₄⋊₄D₂₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×M₄(2)	40	4+	(C5xM4(2)):10C2^2	320,449
(C₅×M₄(2))⋊₁₁C₂² = M₄(2)⋊D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×M₄(2)	80	4	(C5xM4(2)):11C2^2	320,452
(C₅×M₄(2))⋊₁₂C₂² = D₅×C₄.D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₅×M₄(2)	40	8+	(C5xM4(2)):12C2^2	320,371
(C₅×M₄(2))⋊₁₃C₂² = D₅×C₄≀C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₅×M₄(2)	40	4	(C5xM4(2)):13C2^2	320,447
(C₅×M₄(2))⋊₁₄C₂² = C₄²⋊D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×M₄(2)	80	4	(C5xM4(2)):14C2^2	320,448
(C₅×M₄(2))⋊₁₅C₂² = D₂₀⋊₁₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₅×M₄(2)	40	8+	(C5xM4(2)):15C2^2	320,825
(C₅×M₄(2))⋊₁₆C₂² = D₂₀.₃₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₅×M₄(2)	80	8+	(C5xM4(2)):16C2^2	320,829
(C₅×M₄(2))⋊₁₇C₂² = C₅×D₄⋊₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₅×M₄(2)	40	4	(C5xM4(2)):17C2^2	320,954
(C₅×M₄(2))⋊₁₈C₂² = C₅×D₄.₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₅×M₄(2)	80	4	(C5xM4(2)):18C2^2	320,956
(C₅×M₄(2))⋊₁₉C₂² = C₂×C₈⋊D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×M₄(2)	80		(C5xM4(2)):19C2^2	320,1418
(C₅×M₄(2))⋊₂₀C₂² = C₂×C₈.D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×M₄(2)	160		(C5xM4(2)):20C2^2	320,1419
(C₅×M₄(2))⋊₂₁C₂² = C₄₀.₉C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₅×M₄(2)	80	4	(C5xM4(2)):21C2^2	320,1420
(C₅×M₄(2))⋊₂₂C₂² = D₄.₁₁D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×M₄(2)	80	4	(C5xM4(2)):22C2^2	320,1423
(C₅×M₄(2))⋊₂₃C₂² = D₄.₁₂D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×M₄(2)	80	4+	(C5xM4(2)):23C2^2	320,1424
(C₅×M₄(2))⋊₂₄C₂² = C₂×D₅×M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₅×M₄(2)	80		(C5xM4(2)):24C2^2	320,1415
(C₅×M₄(2))⋊₂₅C₂² = C₂×D₂₀.₂C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₅×M₄(2)	160		(C5xM4(2)):25C2^2	320,1416
(C₅×M₄(2))⋊₂₆C₂² = C₄₀.₄₇C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₅×M₄(2)	80	4	(C5xM4(2)):26C2^2	320,1417
(C₅×M₄(2))⋊₂₇C₂² = D₅×C₈○D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₅×M₄(2)	80	4	(C5xM4(2)):27C2^2	320,1421
(C₅×M₄(2))⋊₂₈C₂² = C₂₀.₇₂C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₅×M₄(2)	80	4	(C5xM4(2)):28C2^2	320,1422
(C₅×M₄(2))⋊₂₉C₂² = C₁₀×C₈⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₅×M₄(2)	80		(C5xM4(2)):29C2^2	320,1575
(C₅×M₄(2))⋊₃₀C₂² = C₁₀×C₈.C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₅×M₄(2)	160		(C5xM4(2)):30C2^2	320,1576
(C₅×M₄(2))⋊₃₁C₂² = C₅×D₈⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₅×M₄(2)	80	4	(C5xM4(2)):31C2^2	320,1577
(C₅×M₄(2))⋊₃₂C₂² = C₅×D₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₅×M₄(2)	80	4	(C5xM4(2)):32C2^2	320,1578
(C₅×M₄(2))⋊₃₃C₂² = C₅×D₄○SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₅×M₄(2)	80	4	(C5xM4(2)):33C2^2	320,1579
(C₅×M₄(2))⋊₃₄C₂² = C₂×C₂₀.₄₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₅×M₄(2)	80		(C5xM4(2)):34C2^2	320,757
(C₅×M₄(2))⋊₃₅C₂² = C₂×D₂₀⋊₇C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₅×M₄(2)	80		(C5xM4(2)):35C2^2	320,765
(C₅×M₄(2))⋊₃₆C₂² = C₂³.₂₀D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×M₄(2)	80	4	(C5xM4(2)):36C2^2	320,766
(C₅×M₄(2))⋊₃₇C₂² = C₁₀×C₄.D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₅×M₄(2)	80		(C5xM4(2)):37C2^2	320,912
(C₅×M₄(2))⋊₃₈C₂² = C₁₀×C₄≀C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₅×M₄(2)	80		(C5xM4(2)):38C2^2	320,921
(C₅×M₄(2))⋊₃₉C₂² = C₅×C₄²⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₅×M₄(2)	80	4	(C5xM4(2)):39C2^2	320,922
(C₅×M₄(2))⋊₄₀C₂² = C₁₀×C₈○D₄	φ: trivial image	160		(C5xM4(2)):40C2^2	320,1569
(C₅×M₄(2))⋊₄₁C₂² = C₅×Q₈○M₄(2)	φ: trivial image	80	4	(C5xM4(2)):41C2^2	320,1570

Non-split extensions G=N.Q with N=C₅×M₄(2) and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×M₄(2)).₁C₂² = D₂₀.₄₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₅×M₄(2)	160	8-	(C5xM4(2)).1C2^2	320,1451
(C₅×M₄(2)).₂C₂² = D₂₀.₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₅×M₄(2)	80	8-	(C5xM4(2)).2C2^2	320,379
(C₅×M₄(2)).₃C₂² = D₂₀.₅D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₅×M₄(2)	80	8+	(C5xM4(2)).3C2^2	320,380
(C₅×M₄(2)).₄C₂² = D₄.₉D₂₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×M₄(2)	80	4-	(C5xM4(2)).4C2^2	320,453
(C₅×M₄(2)).₅C₂² = D₄.₁₀D₂₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×M₄(2)	80	4	(C5xM4(2)).5C2^2	320,454
(C₅×M₄(2)).₆C₂² = C₈.₂₀D₂₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×M₄(2)	160	4-	(C5xM4(2)).6C2^2	320,523
(C₅×M₄(2)).₇C₂² = C₈.₂₁D₂₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×M₄(2)	80	4+	(C5xM4(2)).7C2^2	320,524
(C₅×M₄(2)).₈C₂² = C₈.₂₄D₂₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×M₄(2)	80	4	(C5xM4(2)).8C2^2	320,525
(C₅×M₄(2)).₉C₂² = M₄(2).₁₉D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×M₄(2)	80	8-	(C5xM4(2)).9C2^2	320,372
(C₅×M₄(2)).₁₀C₂² = D₂₀.₂D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₅×M₄(2)	80	8-	(C5xM4(2)).10C2^2	320,375
(C₅×M₄(2)).₁₁C₂² = D₂₀.₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₅×M₄(2)	80	8+	(C5xM4(2)).11C2^2	320,376
(C₅×M₄(2)).₁₂C₂² = D₅×C₄.₁₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₅×M₄(2)	80	8-	(C5xM4(2)).12C2^2	320,377
(C₅×M₄(2)).₁₃C₂² = M₄(2).₂₁D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×M₄(2)	80	8+	(C5xM4(2)).13C2^2	320,378
(C₅×M₄(2)).₁₄C₂² = D₂₀.₆D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₅×M₄(2)	80	8+	(C5xM4(2)).14C2^2	320,381
(C₅×M₄(2)).₁₅C₂² = D₂₀.₇D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₅×M₄(2)	160	8-	(C5xM4(2)).15C2^2	320,382
(C₅×M₄(2)).₁₆C₂² = M₄(2).₂₂D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×M₄(2)	80	4	(C5xM4(2)).16C2^2	320,450
(C₅×M₄(2)).₁₇C₂² = C₄².₁₉₆D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×M₄(2)	80	4	(C5xM4(2)).17C2^2	320,451
(C₅×M₄(2)).₁₈C₂² = D₅×C₈.C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₅×M₄(2)	80	4	(C5xM4(2)).18C2^2	320,519
(C₅×M₄(2)).₁₉C₂² = M₄(2).₂₅D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×M₄(2)	80	4	(C5xM4(2)).19C2^2	320,520
(C₅×M₄(2)).₂₀C₂² = D₄₀⋊₁₆C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₅×M₄(2)	80	4	(C5xM4(2)).20C2^2	320,521
(C₅×M₄(2)).₂₁C₂² = D₄₀⋊₁₃C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₅×M₄(2)	80	4	(C5xM4(2)).21C2^2	320,522
(C₅×M₄(2)).₂₂C₂² = M₄(2).D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×M₄(2)	80	8+	(C5xM4(2)).22C2^2	320,826
(C₅×M₄(2)).₂₃C₂² = M₄(2).₁₃D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×M₄(2)	80	8-	(C5xM4(2)).23C2^2	320,827
(C₅×M₄(2)).₂₄C₂² = D₂₀.₃₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₅×M₄(2)	80	8-	(C5xM4(2)).24C2^2	320,828
(C₅×M₄(2)).₂₅C₂² = M₄(2).₁₅D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×M₄(2)	80	8+	(C5xM4(2)).25C2^2	320,830
(C₅×M₄(2)).₂₆C₂² = M₄(2).₁₆D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×M₄(2)	160	8-	(C5xM4(2)).26C2^2	320,831
(C₅×M₄(2)).₂₇C₂² = D₂₀.₄₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₅×M₄(2)	80	8-	(C5xM4(2)).27C2^2	320,832
(C₅×M₄(2)).₂₈C₂² = C₅×D₄.₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₅×M₄(2)	80	4	(C5xM4(2)).28C2^2	320,955
(C₅×M₄(2)).₂₉C₂² = C₅×D₄.₁₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₅×M₄(2)	80	4	(C5xM4(2)).29C2^2	320,957
(C₅×M₄(2)).₃₀C₂² = D₄.₁₃D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×M₄(2)	160	4-	(C5xM4(2)).30C2^2	320,1425
(C₅×M₄(2)).₃₁C₂² = C₅×Q₈○D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₅×M₄(2)	160	4	(C5xM4(2)).31C2^2	320,1580
(C₅×M₄(2)).₃₂C₂² = C₂×C₂₀.₅₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₅×M₄(2)	160		(C5xM4(2)).32C2^2	320,750
(C₅×M₄(2)).₃₃C₂² = C₂³.Dic₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×M₄(2)	80	4	(C5xM4(2)).33C2^2	320,751
(C₅×M₄(2)).₃₄C₂² = M₄(2).₃₁D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×M₄(2)	80	4	(C5xM4(2)).34C2^2	320,759
(C₅×M₄(2)).₃₅C₂² = C₂×C₄.₁₂D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×M₄(2)	160		(C5xM4(2)).35C2^2	320,763
(C₅×M₄(2)).₃₆C₂² = D₄.₃D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×M₄(2)	80	4	(C5xM4(2)).36C2^2	320,768
(C₅×M₄(2)).₃₇C₂² = D₄.₄D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×M₄(2)	80	4+	(C5xM4(2)).37C2^2	320,769
(C₅×M₄(2)).₃₈C₂² = D₄.₅D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×M₄(2)	160	4-	(C5xM4(2)).38C2^2	320,770
(C₅×M₄(2)).₃₉C₂² = C₄₀.₉₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₅×M₄(2)	80	4	(C5xM4(2)).39C2^2	320,771
(C₅×M₄(2)).₄₀C₂² = C₄₀.₅₀D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₅×M₄(2)	80	4	(C5xM4(2)).40C2^2	320,772
(C₅×M₄(2)).₄₁C₂² = C₁₀×C₄.₁₀D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₅×M₄(2)	160		(C5xM4(2)).41C2^2	320,913
(C₅×M₄(2)).₄₂C₂² = C₅×M₄(2).₈C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₅×M₄(2)	80	4	(C5xM4(2)).42C2^2	320,914
(C₅×M₄(2)).₄₃C₂² = C₁₀×C₈.C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₅×M₄(2)	160		(C5xM4(2)).43C2^2	320,930
(C₅×M₄(2)).₄₄C₂² = C₅×M₄(2).C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₅×M₄(2)	80	4	(C5xM4(2)).44C2^2	320,931
(C₅×M₄(2)).₄₅C₂² = C₅×C₈○D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₅×M₄(2)	80	2	(C5xM4(2)).45C2^2	320,944
(C₅×M₄(2)).₄₆C₂² = C₅×C₈.₂₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₅×M₄(2)	80	4	(C5xM4(2)).46C2^2	320,945
(C₅×M₄(2)).₄₇C₂² = C₅×D₄.₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₅×M₄(2)	80	4	(C5xM4(2)).47C2^2	320,972
(C₅×M₄(2)).₄₈C₂² = C₅×D₄.₄D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₅×M₄(2)	80	4	(C5xM4(2)).48C2^2	320,973
(C₅×M₄(2)).₄₉C₂² = C₅×D₄.₅D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₅×M₄(2)	160	4	(C5xM4(2)).49C2^2	320,974

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Extensions 1→N→G→Q→1 with N=C5×M4(2) and Q=C22

Extensions 1→N→G→Q→1 with N=C₅×M₄(2) and Q=C₂²