Extensions 1→N→G→Q→1 with N=C₁₀×C₂²⋊C₄ and Q=C₂

Direct product G=N×Q with N=C₁₀×C₂²⋊C₄ and Q=C₂

		d	ρ	Label	ID
C₂²⋊C₄×C₂×C₁₀		160		C2^2:C4xC2xC10	320,1514

Semidirect products G=N:Q with N=C₁₀×C₂²⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(C₁₀×C₂²⋊C₄)⋊₁C₂ = C₂×C₂³.₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	80	(C10xC2^2:C4):1C2	320,581
(C₁₀×C₂²⋊C₄)⋊₂C₂ = C₂⁴.₄₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	80	(C10xC2^2:C4):2C2	320,582
(C₁₀×C₂²⋊C₄)⋊₃C₂ = C₂³.₄₅D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	160	(C10xC2^2:C4):3C2	320,585
(C₁₀×C₂²⋊C₄)⋊₄C₂ = C₂⁴.₁₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	160	(C10xC2^2:C4):4C2	320,586
(C₁₀×C₂²⋊C₄)⋊₅C₂ = C₅×C₂⁴⋊₃C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	80	(C10xC2^2:C4):5C2	320,880
(C₁₀×C₂²⋊C₄)⋊₆C₂ = C₅×C₂³.₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	160	(C10xC2^2:C4):6C2	320,887
(C₁₀×C₂²⋊C₄)⋊₇C₂ = C₅×C₂⁴.₃C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	160	(C10xC2^2:C4):7C2	320,891
(C₁₀×C₂²⋊C₄)⋊₈C₂ = C₅×C₂³.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	160	(C10xC2^2:C4):8C2	320,895
(C₁₀×C₂²⋊C₄)⋊₉C₂ = C₁₀×C₂³⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	80	(C10xC2^2:C4):9C2	320,910
(C₁₀×C₂²⋊C₄)⋊₁₀C₂ = C₅×C₂².₁₁C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	80	(C10xC2^2:C4):10C2	320,1520
(C₁₀×C₂²⋊C₄)⋊₁₁C₂ = C₂³⋊₂D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	160	(C10xC2^2:C4):11C2	320,587
(C₁₀×C₂²⋊C₄)⋊₁₂C₂ = C₂⁴.₁₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	160	(C10xC2^2:C4):12C2	320,588
(C₁₀×C₂²⋊C₄)⋊₁₃C₂ = C₂×C₂²⋊D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	80	(C10xC2^2:C4):13C2	320,1159
(C₁₀×C₂²⋊C₄)⋊₁₄C₂ = C₂×C₂².D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	160	(C10xC2^2:C4):14C2	320,1164
(C₁₀×C₂²⋊C₄)⋊₁₅C₂ = C₂³⋊₃D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	80	(C10xC2^2:C4):15C2	320,1165
(C₁₀×C₂²⋊C₄)⋊₁₆C₂ = C₂×D₁₀.₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	160	(C10xC2^2:C4):16C2	320,1160
(C₁₀×C₂²⋊C₄)⋊₁₇C₂ = C₂×D₁₀⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	160	(C10xC2^2:C4):17C2	320,1161
(C₁₀×C₂²⋊C₄)⋊₁₈C₂ = C₂⁴.₂₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	80	(C10xC2^2:C4):18C2	320,1162
(C₁₀×C₂²⋊C₄)⋊₁₉C₂ = C₂×Dic₅.₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	160	(C10xC2^2:C4):19C2	320,1163
(C₁₀×C₂²⋊C₄)⋊₂₀C₂ = C₂⁴.₃₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	80	(C10xC2^2:C4):20C2	320,1166
(C₁₀×C₂²⋊C₄)⋊₂₁C₂ = C₂⁴.₃₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	80	(C10xC2^2:C4):21C2	320,1167
(C₁₀×C₂²⋊C₄)⋊₂₂C₂ = C₂⁴.₁₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	160	(C10xC2^2:C4):22C2	320,583
(C₁₀×C₂²⋊C₄)⋊₂₃C₂ = C₂⁴.₁₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	160	(C10xC2^2:C4):23C2	320,584
(C₁₀×C₂²⋊C₄)⋊₂₄C₂ = C₂×D₅×C₂²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	80	(C10xC2^2:C4):24C2	320,1156
(C₁₀×C₂²⋊C₄)⋊₂₅C₂ = C₂×Dic₅⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	160	(C10xC2^2:C4):25C2	320,1157
(C₁₀×C₂²⋊C₄)⋊₂₆C₂ = C₂⁴.₂₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	80	(C10xC2^2:C4):26C2	320,1158
(C₁₀×C₂²⋊C₄)⋊₂₇C₂ = C₅×C₂³⋊₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	160	(C10xC2^2:C4):27C2	320,893
(C₁₀×C₂²⋊C₄)⋊₂₈C₂ = C₁₀×C₂²≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	80	(C10xC2^2:C4):28C2	320,1523
(C₁₀×C₂²⋊C₄)⋊₂₉C₂ = C₁₀×C₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	160	(C10xC2^2:C4):29C2	320,1524
(C₁₀×C₂²⋊C₄)⋊₃₀C₂ = C₁₀×C₂².D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	160	(C10xC2^2:C4):30C2	320,1526
(C₁₀×C₂²⋊C₄)⋊₃₁C₂ = C₁₀×C₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	160	(C10xC2^2:C4):31C2	320,1528
(C₁₀×C₂²⋊C₄)⋊₃₂C₂ = C₅×C₂³⋊₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	80	(C10xC2^2:C4):32C2	320,1536
(C₁₀×C₂²⋊C₄)⋊₃₃C₂ = C₅×C₂².₃₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	80	(C10xC2^2:C4):33C2	320,1540
(C₁₀×C₂²⋊C₄)⋊₃₄C₂ = C₅×D₄⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	80	(C10xC2^2:C4):34C2	320,1548
(C₁₀×C₂²⋊C₄)⋊₃₅C₂ = C₅×C₂².₄₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	80	(C10xC2^2:C4):35C2	320,1553
(C₁₀×C₂²⋊C₄)⋊₃₆C₂ = D₄×C₂×C₂₀	φ: trivial image	160	(C10xC2^2:C4):36C2	320,1517

Non-split extensions G=N.Q with N=C₁₀×C₂²⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(C₁₀×C₂²⋊C₄).₁C₂ = C₂⁴.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	80	(C10xC2^2:C4).1C2	320,84
(C₁₀×C₂²⋊C₄).₂C₂ = C₂⁴.₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	80	(C10xC2^2:C4).2C2	320,85
(C₁₀×C₂²⋊C₄).₃C₂ = C₅×C₂³⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	80	(C10xC2^2:C4).3C2	320,128
(C₁₀×C₂²⋊C₄).₄C₂ = C₅×C₂³.₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	80	(C10xC2^2:C4).4C2	320,147
(C₁₀×C₂²⋊C₄).₅C₂ = C₂⁴.₄₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	160	(C10xC2^2:C4).5C2	320,569
(C₁₀×C₂²⋊C₄).₆C₂ = C₂³.₄₂D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	160	(C10xC2^2:C4).6C2	320,570
(C₁₀×C₂²⋊C₄).₇C₂ = C₂⁴.₄₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	160	(C10xC2^2:C4).7C2	320,573
(C₁₀×C₂²⋊C₄).₈C₂ = C₂⁴.₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	160	(C10xC2^2:C4).8C2	320,579
(C₁₀×C₂²⋊C₄).₉C₂ = C₅×C₂³.₇Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	160	(C10xC2^2:C4).9C2	320,881
(C₁₀×C₂²⋊C₄).₁₀C₂ = C₅×C₂³.₃₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	160	(C10xC2^2:C4).10C2	320,882
(C₁₀×C₂²⋊C₄).₁₁C₂ = C₅×C₂³.₈Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	160	(C10xC2^2:C4).11C2	320,886
(C₁₀×C₂²⋊C₄).₁₂C₂ = C₂³⋊Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	160	(C10xC2^2:C4).12C2	320,574
(C₁₀×C₂²⋊C₄).₁₃C₂ = C₂⁴.₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	160	(C10xC2^2:C4).13C2	320,575
(C₁₀×C₂²⋊C₄).₁₄C₂ = C₂⁴.₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	160	(C10xC2^2:C4).14C2	320,576
(C₁₀×C₂²⋊C₄).₁₅C₂ = C₂⁴.₄₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	160	(C10xC2^2:C4).15C2	320,577
(C₁₀×C₂²⋊C₄).₁₆C₂ = C₂³.₁₄D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	160	(C10xC2^2:C4).16C2	320,580
(C₁₀×C₂²⋊C₄).₁₇C₂ = C₂×Dic₅.₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	160	(C10xC2^2:C4).17C2	320,1153
(C₁₀×C₂²⋊C₄).₁₈C₂ = C₂³⋊₂Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	80	(C10xC2^2:C4).18C2	320,1155
(C₁₀×C₂²⋊C₄).₁₉C₂ = C₂⁴.₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	160	(C10xC2^2:C4).19C2	320,578
(C₁₀×C₂²⋊C₄).₂₀C₂ = C₂×C₂³.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	160	(C10xC2^2:C4).20C2	320,1154
(C₁₀×C₂²⋊C₄).₂₁C₂ = C₂⁴.Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	80	(C10xC2^2:C4).21C2	320,83
(C₁₀×C₂²⋊C₄).₂₂C₂ = C₂²⋊C₄×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	160	(C10xC2^2:C4).22C2	320,568
(C₁₀×C₂²⋊C₄).₂₃C₂ = C₂⁴.₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	160	(C10xC2^2:C4).23C2	320,571
(C₁₀×C₂²⋊C₄).₂₄C₂ = C₂⁴.₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	160	(C10xC2^2:C4).24C2	320,572
(C₁₀×C₂²⋊C₄).₂₅C₂ = C₂×C₂³.₁₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	160	(C10xC2^2:C4).25C2	320,1152
(C₁₀×C₂²⋊C₄).₂₆C₂ = C₅×C₂⁴.C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	160	(C10xC2^2:C4).26C2	320,889
(C₁₀×C₂²⋊C₄).₂₇C₂ = C₅×C₂³⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	160	(C10xC2^2:C4).27C2	320,894
(C₁₀×C₂²⋊C₄).₂₈C₂ = C₅×C₂³.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	160	(C10xC2^2:C4).28C2	320,897
(C₁₀×C₂²⋊C₄).₂₉C₂ = C₅×C₂³.₁₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	160	(C10xC2^2:C4).29C2	320,898
(C₁₀×C₂²⋊C₄).₃₀C₂ = C₅×C₂³.₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	160	(C10xC2^2:C4).30C2	320,900
(C₁₀×C₂²⋊C₄).₃₁C₂ = C₁₀×C₂²⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	160	(C10xC2^2:C4).31C2	320,1525
(C₁₀×C₂²⋊C₄).₃₂C₂ = C₁₀×C₄²⋊₂C₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	160	(C10xC2^2:C4).32C2	320,1530
(C₁₀×C₂²⋊C₄).₃₃C₂ = C₅×C₂³⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₂²⋊C₄	80	(C10xC2^2:C4).33C2	320,1545
(C₁₀×C₂²⋊C₄).₃₄C₂ = C₂²⋊C₄×C₂₀	φ: trivial image	160	(C10xC2^2:C4).34C2	320,878
(C₁₀×C₂²⋊C₄).₃₅C₂ = C₁₀×C₄²⋊C₂	φ: trivial image	160	(C10xC2^2:C4).35C2	320,1516

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Extensions 1→N→G→Q→1 with N=C10×C22⋊C4 and Q=C2

Extensions 1→N→G→Q→1 with N=C₁₀×C₂²⋊C₄ and Q=C₂