Extensions 1→N→G→Q→1 with N=M₄(2) and Q=D₁₀

Direct product G=N×Q with N=M₄(2) and Q=D₁₀

		d	ρ	Label	ID
C₂×D₅×M₄(2)		80		C2xD5xM4(2)	320,1415

Semidirect products G=N:Q with N=M₄(2) and Q=D₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2)⋊₁D₁₀ = D₂₀.₁D₄	φ: D₁₀/C₅ → C₂² ⊆ Out M₄(2)	80	8-	M4(2):1D10	320,373
M₄(2)⋊₂D₁₀ = D₂₀⋊₁D₄	φ: D₁₀/C₅ → C₂² ⊆ Out M₄(2)	40	8+	M4(2):2D10	320,374
M₄(2)⋊₃D₁₀ = D₄⋊₄D₂₀	φ: D₁₀/C₅ → C₂² ⊆ Out M₄(2)	40	4+	M4(2):3D10	320,449
M₄(2)⋊₄D₁₀ = M₄(2)⋊D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Out M₄(2)	80	4	M4(2):4D10	320,452
M₄(2)⋊₅D₁₀ = D₂₀⋊₁₈D₄	φ: D₁₀/C₅ → C₂² ⊆ Out M₄(2)	40	8+	M4(2):5D10	320,825
M₄(2)⋊₆D₁₀ = D₂₀.₃₉D₄	φ: D₁₀/C₅ → C₂² ⊆ Out M₄(2)	80	8+	M4(2):6D10	320,829
M₄(2)⋊₇D₁₀ = D₅×C₈⋊C₂²	φ: D₁₀/D₅ → C₂ ⊆ Out M₄(2)	40	8+	M4(2):7D10	320,1444
M₄(2)⋊₈D₁₀ = SD₁₆⋊D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Out M₄(2)	80	8-	M4(2):8D10	320,1445
M₄(2)⋊₉D₁₀ = D₈⋊₅D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Out M₄(2)	80	8+	M4(2):9D10	320,1446
M₄(2)⋊₁₀D₁₀ = D₈⋊₆D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Out M₄(2)	80	8-	M4(2):10D10	320,1447
M₄(2)⋊₁₁D₁₀ = D₅×C₈.C₂²	φ: D₁₀/D₅ → C₂ ⊆ Out M₄(2)	80	8-	M4(2):11D10	320,1448
M₄(2)⋊₁₂D₁₀ = D₄₀⋊C₂²	φ: D₁₀/D₅ → C₂ ⊆ Out M₄(2)	80	8+	M4(2):12D10	320,1449
M₄(2)⋊₁₃D₁₀ = C₄₀.C₂³	φ: D₁₀/D₅ → C₂ ⊆ Out M₄(2)	80	8+	M4(2):13D10	320,1450
M₄(2)⋊₁₄D₁₀ = D₅×C₄.D₄	φ: D₁₀/D₅ → C₂ ⊆ Out M₄(2)	40	8+	M4(2):14D10	320,371
M₄(2)⋊₁₅D₁₀ = D₅×C₄≀C₂	φ: D₁₀/D₅ → C₂ ⊆ Out M₄(2)	40	4	M4(2):15D10	320,447
M₄(2)⋊₁₆D₁₀ = C₄²⋊D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Out M₄(2)	80	4	M4(2):16D10	320,448
M₄(2)⋊₁₇D₁₀ = C₂×C₈⋊D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out M₄(2)	80		M4(2):17D10	320,1418
M₄(2)⋊₁₈D₁₀ = C₂×C₈.D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out M₄(2)	160		M4(2):18D10	320,1419
M₄(2)⋊₁₉D₁₀ = C₄₀.₉C₂³	φ: D₁₀/C₁₀ → C₂ ⊆ Out M₄(2)	80	4	M4(2):19D10	320,1420
M₄(2)⋊₂₀D₁₀ = D₄.₁₁D₂₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out M₄(2)	80	4	M4(2):20D10	320,1423
M₄(2)⋊₂₁D₁₀ = D₄.₁₂D₂₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out M₄(2)	80	4+	M4(2):21D10	320,1424
M₄(2)⋊₂₂D₁₀ = C₂×C₂₀.₄₆D₄	φ: D₁₀/C₁₀ → C₂ ⊆ Out M₄(2)	80		M4(2):22D10	320,757
M₄(2)⋊₂₃D₁₀ = C₂×D₂₀⋊₇C₄	φ: D₁₀/C₁₀ → C₂ ⊆ Out M₄(2)	80		M4(2):23D10	320,765
M₄(2)⋊₂₄D₁₀ = C₂³.₂₀D₂₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out M₄(2)	80	4	M4(2):24D10	320,766
M₄(2)⋊₂₅D₁₀ = C₂×D₂₀.₂C₄	φ: trivial image	160		M4(2):25D10	320,1416
M₄(2)⋊₂₆D₁₀ = C₄₀.₄₇C₂³	φ: trivial image	80	4	M4(2):26D10	320,1417
M₄(2)⋊₂₇D₁₀ = D₅×C₈○D₄	φ: trivial image	80	4	M4(2):27D10	320,1421
M₄(2)⋊₂₈D₁₀ = C₂₀.₇₂C₂⁴	φ: trivial image	80	4	M4(2):28D10	320,1422

Non-split extensions G=N.Q with N=M₄(2) and Q=D₁₀

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

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Extensions 1→N→G→Q→1 with N=M4(2) and Q=D10

Extensions 1→N→G→Q→1 with N=M₄(2) and Q=D₁₀