Extensions 1→N→G→Q→1 with N=C22xD5 and Q=Q8

Direct product G=NxQ with N=C22xD5 and Q=Q8
dρLabelID
C22xQ8xD5160C2^2xQ8xD5320,1615

Semidirect products G=N:Q with N=C22xD5 and Q=Q8
extensionφ:Q→Out NdρLabelID
(C22xD5):1Q8 = (C2xC4).20D20φ: Q8/C2C22 ⊆ Out C22xD5160(C2^2xD5):1Q8320,300
(C22xD5):2Q8 = (C22xD5):Q8φ: Q8/C2C22 ⊆ Out C22xD5160(C2^2xD5):2Q8320,858
(C22xD5):3Q8 = C10.512+ 1+4φ: Q8/C2C22 ⊆ Out C22xD580(C2^2xD5):3Q8320,1306
(C22xD5):4Q8 = C2xD10:Q8φ: Q8/C4C2 ⊆ Out C22xD5160(C2^2xD5):4Q8320,1180
(C22xD5):5Q8 = C2xD10:2Q8φ: Q8/C4C2 ⊆ Out C22xD5160(C2^2xD5):5Q8320,1181
(C22xD5):6Q8 = D5xC22:Q8φ: Q8/C4C2 ⊆ Out C22xD580(C2^2xD5):6Q8320,1298
(C22xD5):7Q8 = C2xD10:3Q8φ: Q8/C4C2 ⊆ Out C22xD5160(C2^2xD5):7Q8320,1485

Non-split extensions G=N.Q with N=C22xD5 and Q=Q8
extensionφ:Q→Out NdρLabelID
(C22xD5).1Q8 = (C22xD5).Q8φ: Q8/C2C22 ⊆ Out C22xD5160(C2^2xD5).1Q8320,303
(C22xD5).2Q8 = (C2xC20).33D4φ: Q8/C2C22 ⊆ Out C22xD5160(C2^2xD5).2Q8320,304
(C22xD5).3Q8 = M4(2).25D10φ: Q8/C2C22 ⊆ Out C22xD5804(C2^2xD5).3Q8320,520
(C22xD5).4Q8 = (C2xC20).289D4φ: Q8/C2C22 ⊆ Out C22xD5160(C2^2xD5).4Q8320,619
(C22xD5).5Q8 = (C2xC20).56D4φ: Q8/C2C22 ⊆ Out C22xD5160(C2^2xD5).5Q8320,621
(C22xD5).6Q8 = (C22xF5):C4φ: Q8/C2C22 ⊆ Out C22xD5408+(C2^2xD5).6Q8320,204
(C22xD5).7Q8 = C20.25C42φ: Q8/C2C22 ⊆ Out C22xD5804(C2^2xD5).7Q8320,235
(C22xD5).8Q8 = M4(2).F5φ: Q8/C2C22 ⊆ Out C22xD5808(C2^2xD5).8Q8320,239
(C22xD5).9Q8 = C22:F5:C4φ: Q8/C2C22 ⊆ Out C22xD580(C2^2xD5).9Q8320,255
(C22xD5).10Q8 = D10:(C4:C4)φ: Q8/C2C22 ⊆ Out C22xD540(C2^2xD5).10Q8320,1037
(C22xD5).11Q8 = M4(2).1F5φ: Q8/C2C22 ⊆ Out C22xD5808(C2^2xD5).11Q8320,1067
(C22xD5).12Q8 = D10:2(C4:C4)φ: Q8/C4C2 ⊆ Out C22xD5160(C2^2xD5).12Q8320,294
(C22xD5).13Q8 = D10:3(C4:C4)φ: Q8/C4C2 ⊆ Out C22xD5160(C2^2xD5).13Q8320,295
(C22xD5).14Q8 = D5xC8.C4φ: Q8/C4C2 ⊆ Out C22xD5804(C2^2xD5).14Q8320,519
(C22xD5).15Q8 = D10:4(C4:C4)φ: Q8/C4C2 ⊆ Out C22xD5160(C2^2xD5).15Q8320,614
(C22xD5).16Q8 = D10:5(C4:C4)φ: Q8/C4C2 ⊆ Out C22xD5160(C2^2xD5).16Q8320,616
(C22xD5).17Q8 = C20.10C42φ: Q8/C4C2 ⊆ Out C22xD5160(C2^2xD5).17Q8320,234
(C22xD5).18Q8 = C2xC40.C4φ: Q8/C4C2 ⊆ Out C22xD5160(C2^2xD5).18Q8320,1060
(C22xD5).19Q8 = C2xD10.Q8φ: Q8/C4C2 ⊆ Out C22xD5160(C2^2xD5).19Q8320,1061
(C22xD5).20Q8 = (C8xD5).C4φ: Q8/C4C2 ⊆ Out C22xD5804(C2^2xD5).20Q8320,1062
(C22xD5).21Q8 = C2xD10.3Q8φ: Q8/C4C2 ⊆ Out C22xD580(C2^2xD5).21Q8320,1100
(C22xD5).22Q8 = D10:6(C4:C4)φ: Q8/C4C2 ⊆ Out C22xD580(C2^2xD5).22Q8320,1103
(C22xD5).23Q8 = C22xC4:F5φ: Q8/C4C2 ⊆ Out C22xD580(C2^2xD5).23Q8320,1591
(C22xD5).24Q8 = D5xC2.C42φ: trivial image160(C2^2xD5).24Q8320,290
(C22xD5).25Q8 = C2xD5xC4:C4φ: trivial image160(C2^2xD5).25Q8320,1173

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