Extensions 1→N→G→Q→1 with N=D₄×D₅ and Q=C₂²

Direct product G=N×Q with N=D₄×D₅ and Q=C₂²

		d	ρ	Label	ID
C₂²×D₄×D₅		80		C2^2xD4xD5	320,1612

Semidirect products G=N:Q with N=D₄×D₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×D₅)⋊₁C₂² = D₈⋊₁₃D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out D₄×D₅	80	4	(D4xD5):1C2^2	320,1429
(D₄×D₅)⋊₂C₂² = D₈⋊₁₅D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out D₄×D₅	80	4+	(D4xD5):2C2^2	320,1441
(D₄×D₅)⋊₃C₂² = D₈⋊₅D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out D₄×D₅	80	8+	(D4xD5):3C2^2	320,1446
(D₄×D₅)⋊₄C₂² = C₂×D₅×D₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄×D₅	80		(D4xD5):4C2^2	320,1426
(D₄×D₅)⋊₅C₂² = C₂×D₈⋊D₅	φ: C₂²/C₂ → C₂ ⊆ Out D₄×D₅	80		(D4xD5):5C2^2	320,1427
(D₄×D₅)⋊₆C₂² = C₂×D₄₀⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out D₄×D₅	80		(D4xD5):6C2^2	320,1431
(D₄×D₅)⋊₇C₂² = Q₁₆⋊D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out D₄×D₅	80	4	(D4xD5):7C2^2	320,1440
(D₄×D₅)⋊₈C₂² = D₅×C₈⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₄×D₅	40	8+	(D4xD5):8C2^2	320,1444
(D₄×D₅)⋊₉C₂² = SD₁₆⋊D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out D₄×D₅	80	8-	(D4xD5):9C2^2	320,1445
(D₄×D₅)⋊₁₀C₂² = D₄₀⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₄×D₅	80	8+	(D4xD5):10C2^2	320,1449
(D₄×D₅)⋊₁₁C₂² = C₂×D₄⋊₆D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out D₄×D₅	80		(D4xD5):11C2^2	320,1614
(D₄×D₅)⋊₁₂C₂² = C₂×D₄⋊₈D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out D₄×D₅	80		(D4xD5):12C2^2	320,1619
(D₄×D₅)⋊₁₃C₂² = C₁₀.C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out D₄×D₅	80	4	(D4xD5):13C2^2	320,1621
(D₄×D₅)⋊₁₄C₂² = D₂₀.₃₇C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄×D₅	80	8-	(D4xD5):14C2^2	320,1623
(D₄×D₅)⋊₁₅C₂² = D₂₀.₃₉C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄×D₅	80	8+	(D4xD5):15C2^2	320,1625
(D₄×D₅)⋊₁₆C₂² = C₂×D₅×C₄○D₄	φ: trivial image	80		(D4xD5):16C2^2	320,1618
(D₄×D₅)⋊₁₇C₂² = D₅×2₊¹⁺⁴	φ: trivial image	40	8+	(D4xD5):17C2^2	320,1622

Non-split extensions G=N.Q with N=D₄×D₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×D₅).₁C₂² = D₂₀.₂₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄×D₅	80	4	(D4xD5).1C2^2	320,1434
(D₄×D₅).₂C₂² = D₈⋊₁₁D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out D₄×D₅	80	4	(D4xD5).2C2^2	320,1442
(D₄×D₅).₃C₂² = D₈⋊₆D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out D₄×D₅	80	8-	(D4xD5).3C2^2	320,1447
(D₄×D₅).₄C₂² = C₄₀.C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄×D₅	80	8+	(D4xD5).4C2^2	320,1450
(D₄×D₅).₅C₂² = D₈×F₅	φ: C₂²/C₁ → C₂² ⊆ Out D₄×D₅	40	8+	(D4xD5).5C2^2	320,1068
(D₄×D₅).₆C₂² = D₄₀⋊C₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄×D₅	40	8+	(D4xD5).6C2^2	320,1069
(D₄×D₅).₇C₂² = SD₁₆×F₅	φ: C₂²/C₁ → C₂² ⊆ Out D₄×D₅	40	8	(D4xD5).7C2^2	320,1072
(D₄×D₅).₈C₂² = SD₁₆⋊F₅	φ: C₂²/C₁ → C₂² ⊆ Out D₄×D₅	40	8	(D4xD5).8C2^2	320,1073
(D₄×D₅).₉C₂² = C₂×D₅×SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄×D₅	80		(D4xD5).9C2^2	320,1430
(D₄×D₅).₁₀C₂² = D₅×C₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄×D₅	80	4	(D4xD5).10C2^2	320,1439
(D₄×D₅).₁₁C₂² = D₅×C₈.C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₄×D₅	80	8-	(D4xD5).11C2^2	320,1448
(D₄×D₅).₁₂C₂² = C₂×D₂₀⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄×D₅	80		(D4xD5).12C2^2	320,1104
(D₄×D₅).₁₃C₂² = (D₄×C₁₀)⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄×D₅	40	8+	(D4xD5).13C2^2	320,1105
(D₄×D₅).₁₄C₂² = C₄○D₄⋊F₅	φ: C₂²/C₂ → C₂ ⊆ Out D₄×D₅	40	8	(D4xD5).14C2^2	320,1131
(D₄×D₅).₁₅C₂² = C₄○D₂₀⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄×D₅	80	8	(D4xD5).15C2^2	320,1132
(D₄×D₅).₁₆C₂² = C₂×D₄×F₅	φ: C₂²/C₂ → C₂ ⊆ Out D₄×D₅	40		(D4xD5).16C2^2	320,1595
(D₄×D₅).₁₇C₂² = D₁₀.C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out D₄×D₅	40	8+	(D4xD5).17C2^2	320,1596
(D₄×D₅).₁₈C₂² = C₄○D₄×F₅	φ: C₂²/C₂ → C₂ ⊆ Out D₄×D₅	40	8	(D4xD5).18C2^2	320,1603
(D₄×D₅).₁₉C₂² = D₅.2₊¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out D₄×D₅	40	8	(D4xD5).19C2^2	320,1604
(D₄×D₅).₂₀C₂² = D₅×2_-¹⁺⁴	φ: trivial image	80	8-	(D4xD5).20C2^2	320,1624

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Extensions 1→N→G→Q→1 with N=D4×D5 and Q=C22

Extensions 1→N→G→Q→1 with N=D₄×D₅ and Q=C₂²