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Extensions 1→N→G→Q→1 with N=C23×C20 and Q=C2

Direct product G=N×Q with N=C23×C20 and Q=C2
dρLabelID
C24×C20320C2^4xC20320,1628

Semidirect products G=N:Q with N=C23×C20 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C23×C20)⋊1C2 = C24.65D10φ: C2/C1 → C2 ⊆ Aut C23×C20160(C2^3xC20):1C2320,840
(C23×C20)⋊2C2 = C5×C23.23D4φ: C2/C1 → C2 ⊆ Aut C23×C20160(C2^3xC20):2C2320,887
(C23×C20)⋊3C2 = C22×D10⋊C4φ: C2/C1 → C2 ⊆ Aut C23×C20160(C2^3xC20):3C2320,1459
(C23×C20)⋊4C2 = C2×C23.23D10φ: C2/C1 → C2 ⊆ Aut C23×C20160(C2^3xC20):4C2320,1461
(C23×C20)⋊5C2 = C22⋊C4×C2×C10φ: C2/C1 → C2 ⊆ Aut C23×C20160(C2^3xC20):5C2320,1514
(C23×C20)⋊6C2 = D4×C2×C20φ: C2/C1 → C2 ⊆ Aut C23×C20160(C2^3xC20):6C2320,1517
(C23×C20)⋊7C2 = C10×C22.D4φ: C2/C1 → C2 ⊆ Aut C23×C20160(C2^3xC20):7C2320,1526
(C23×C20)⋊8C2 = C2×C20⋊7D4φ: C2/C1 → C2 ⊆ Aut C23×C20160(C2^3xC20):8C2320,1462
(C23×C20)⋊9C2 = C23×D20φ: C2/C1 → C2 ⊆ Aut C23×C20160(C2^3xC20):9C2320,1610
(C23×C20)⋊10C2 = C24.72D10φ: C2/C1 → C2 ⊆ Aut C23×C2080(C2^3xC20):10C2320,1463
(C23×C20)⋊11C2 = C22×C4○D20φ: C2/C1 → C2 ⊆ Aut C23×C20160(C2^3xC20):11C2320,1611
(C23×C20)⋊12C2 = C2×C4×C5⋊D4φ: C2/C1 → C2 ⊆ Aut C23×C20160(C2^3xC20):12C2320,1460
(C23×C20)⋊13C2 = D5×C23×C4φ: C2/C1 → C2 ⊆ Aut C23×C20160(C2^3xC20):13C2320,1609
(C23×C20)⋊14C2 = C10×C4⋊D4φ: C2/C1 → C2 ⊆ Aut C23×C20160(C2^3xC20):14C2320,1524
(C23×C20)⋊15C2 = C5×C22.19C24φ: C2/C1 → C2 ⊆ Aut C23×C2080(C2^3xC20):15C2320,1527
(C23×C20)⋊16C2 = D4×C22×C10φ: C2/C1 → C2 ⊆ Aut C23×C20160(C2^3xC20):16C2320,1629
(C23×C20)⋊17C2 = C4○D4×C2×C10φ: C2/C1 → C2 ⊆ Aut C23×C20160(C2^3xC20):17C2320,1631

Non-split extensions G=N.Q with N=C23×C20 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C23×C20).1C2 = C2×C10.10C42φ: C2/C1 → C2 ⊆ Aut C23×C20320(C2^3xC20).1C2320,835
(C23×C20).2C2 = C24.62D10φ: C2/C1 → C2 ⊆ Aut C23×C20160(C2^3xC20).2C2320,837
(C23×C20).3C2 = C24.63D10φ: C2/C1 → C2 ⊆ Aut C23×C20160(C2^3xC20).3C2320,838
(C23×C20).4C2 = C10×C2.C42φ: C2/C1 → C2 ⊆ Aut C23×C20320(C2^3xC20).4C2320,876
(C23×C20).5C2 = C22⋊C4×C20φ: C2/C1 → C2 ⊆ Aut C23×C20160(C2^3xC20).5C2320,878
(C23×C20).6C2 = C5×C23.34D4φ: C2/C1 → C2 ⊆ Aut C23×C20160(C2^3xC20).6C2320,882
(C23×C20).7C2 = C5×C23.8Q8φ: C2/C1 → C2 ⊆ Aut C23×C20160(C2^3xC20).7C2320,886
(C23×C20).8C2 = C10×C22⋊C8φ: C2/C1 → C2 ⊆ Aut C23×C20160(C2^3xC20).8C2320,907
(C23×C20).9C2 = C22×C10.D4φ: C2/C1 → C2 ⊆ Aut C23×C20320(C2^3xC20).9C2320,1455
(C23×C20).10C2 = C4⋊C4×C2×C10φ: C2/C1 → C2 ⊆ Aut C23×C20320(C2^3xC20).10C2320,1515
(C23×C20).11C2 = C24.64D10φ: C2/C1 → C2 ⊆ Aut C23×C20160(C2^3xC20).11C2320,839
(C23×C20).12C2 = C2×C20.48D4φ: C2/C1 → C2 ⊆ Aut C23×C20160(C2^3xC20).12C2320,1456
(C23×C20).13C2 = C22×C4⋊Dic5φ: C2/C1 → C2 ⊆ Aut C23×C20320(C2^3xC20).13C2320,1457
(C23×C20).14C2 = C23×Dic10φ: C2/C1 → C2 ⊆ Aut C23×C20320(C2^3xC20).14C2320,1608
(C23×C20).15C2 = C24.4Dic5φ: C2/C1 → C2 ⊆ Aut C23×C2080(C2^3xC20).15C2320,834
(C23×C20).16C2 = C22×C4.Dic5φ: C2/C1 → C2 ⊆ Aut C23×C20160(C2^3xC20).16C2320,1453
(C23×C20).17C2 = C2×C23.21D10φ: C2/C1 → C2 ⊆ Aut C23×C20160(C2^3xC20).17C2320,1458
(C23×C20).18C2 = C2×C20.55D4φ: C2/C1 → C2 ⊆ Aut C23×C20160(C2^3xC20).18C2320,833
(C23×C20).19C2 = C4×C23.D5φ: C2/C1 → C2 ⊆ Aut C23×C20160(C2^3xC20).19C2320,836
(C23×C20).20C2 = C23×C5⋊2C8φ: C2/C1 → C2 ⊆ Aut C23×C20320(C2^3xC20).20C2320,1452
(C23×C20).21C2 = C22×C4×Dic5φ: C2/C1 → C2 ⊆ Aut C23×C20320(C2^3xC20).21C2320,1454
(C23×C20).22C2 = C5×C23.7Q8φ: C2/C1 → C2 ⊆ Aut C23×C20160(C2^3xC20).22C2320,881
(C23×C20).23C2 = C5×C24.4C4φ: C2/C1 → C2 ⊆ Aut C23×C2080(C2^3xC20).23C2320,908
(C23×C20).24C2 = C10×C42⋊C2φ: C2/C1 → C2 ⊆ Aut C23×C20160(C2^3xC20).24C2320,1516
(C23×C20).25C2 = C10×C22⋊Q8φ: C2/C1 → C2 ⊆ Aut C23×C20160(C2^3xC20).25C2320,1525
(C23×C20).26C2 = M4(2)×C2×C10φ: C2/C1 → C2 ⊆ Aut C23×C20160(C2^3xC20).26C2320,1568
(C23×C20).27C2 = Q8×C22×C10φ: C2/C1 → C2 ⊆ Aut C23×C20320(C2^3xC20).27C2320,1630

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