Extensions 1→N→G→Q→1 with N=C22×D5 and Q=Q8

Direct product G=N×Q with N=C22×D5 and Q=Q8
dρLabelID
C22×Q8×D5160C2^2xQ8xD5320,1615

Semidirect products G=N:Q with N=C22×D5 and Q=Q8
extensionφ:Q→Out NdρLabelID
(C22×D5)⋊1Q8 = (C2×C4).20D20φ: Q8/C2C22 ⊆ Out C22×D5160(C2^2xD5):1Q8320,300
(C22×D5)⋊2Q8 = (C22×D5)⋊Q8φ: Q8/C2C22 ⊆ Out C22×D5160(C2^2xD5):2Q8320,858
(C22×D5)⋊3Q8 = C10.512+ 1+4φ: Q8/C2C22 ⊆ Out C22×D580(C2^2xD5):3Q8320,1306
(C22×D5)⋊4Q8 = C2×D10⋊Q8φ: Q8/C4C2 ⊆ Out C22×D5160(C2^2xD5):4Q8320,1180
(C22×D5)⋊5Q8 = C2×D102Q8φ: Q8/C4C2 ⊆ Out C22×D5160(C2^2xD5):5Q8320,1181
(C22×D5)⋊6Q8 = D5×C22⋊Q8φ: Q8/C4C2 ⊆ Out C22×D580(C2^2xD5):6Q8320,1298
(C22×D5)⋊7Q8 = C2×D103Q8φ: Q8/C4C2 ⊆ Out C22×D5160(C2^2xD5):7Q8320,1485

Non-split extensions G=N.Q with N=C22×D5 and Q=Q8
extensionφ:Q→Out NdρLabelID
(C22×D5).1Q8 = (C22×D5).Q8φ: Q8/C2C22 ⊆ Out C22×D5160(C2^2xD5).1Q8320,303
(C22×D5).2Q8 = (C2×C20).33D4φ: Q8/C2C22 ⊆ Out C22×D5160(C2^2xD5).2Q8320,304
(C22×D5).3Q8 = M4(2).25D10φ: Q8/C2C22 ⊆ Out C22×D5804(C2^2xD5).3Q8320,520
(C22×D5).4Q8 = (C2×C20).289D4φ: Q8/C2C22 ⊆ Out C22×D5160(C2^2xD5).4Q8320,619
(C22×D5).5Q8 = (C2×C20).56D4φ: Q8/C2C22 ⊆ Out C22×D5160(C2^2xD5).5Q8320,621
(C22×D5).6Q8 = (C22×F5)⋊C4φ: Q8/C2C22 ⊆ Out C22×D5408+(C2^2xD5).6Q8320,204
(C22×D5).7Q8 = C20.25C42φ: Q8/C2C22 ⊆ Out C22×D5804(C2^2xD5).7Q8320,235
(C22×D5).8Q8 = M4(2).F5φ: Q8/C2C22 ⊆ Out C22×D5808(C2^2xD5).8Q8320,239
(C22×D5).9Q8 = C22⋊F5⋊C4φ: Q8/C2C22 ⊆ Out C22×D580(C2^2xD5).9Q8320,255
(C22×D5).10Q8 = D10⋊(C4⋊C4)φ: Q8/C2C22 ⊆ Out C22×D540(C2^2xD5).10Q8320,1037
(C22×D5).11Q8 = M4(2).1F5φ: Q8/C2C22 ⊆ Out C22×D5808(C2^2xD5).11Q8320,1067
(C22×D5).12Q8 = D102(C4⋊C4)φ: Q8/C4C2 ⊆ Out C22×D5160(C2^2xD5).12Q8320,294
(C22×D5).13Q8 = D103(C4⋊C4)φ: Q8/C4C2 ⊆ Out C22×D5160(C2^2xD5).13Q8320,295
(C22×D5).14Q8 = D5×C8.C4φ: Q8/C4C2 ⊆ Out C22×D5804(C2^2xD5).14Q8320,519
(C22×D5).15Q8 = D104(C4⋊C4)φ: Q8/C4C2 ⊆ Out C22×D5160(C2^2xD5).15Q8320,614
(C22×D5).16Q8 = D105(C4⋊C4)φ: Q8/C4C2 ⊆ Out C22×D5160(C2^2xD5).16Q8320,616
(C22×D5).17Q8 = C20.10C42φ: Q8/C4C2 ⊆ Out C22×D5160(C2^2xD5).17Q8320,234
(C22×D5).18Q8 = C2×C40.C4φ: Q8/C4C2 ⊆ Out C22×D5160(C2^2xD5).18Q8320,1060
(C22×D5).19Q8 = C2×D10.Q8φ: Q8/C4C2 ⊆ Out C22×D5160(C2^2xD5).19Q8320,1061
(C22×D5).20Q8 = (C8×D5).C4φ: Q8/C4C2 ⊆ Out C22×D5804(C2^2xD5).20Q8320,1062
(C22×D5).21Q8 = C2×D10.3Q8φ: Q8/C4C2 ⊆ Out C22×D580(C2^2xD5).21Q8320,1100
(C22×D5).22Q8 = D106(C4⋊C4)φ: Q8/C4C2 ⊆ Out C22×D580(C2^2xD5).22Q8320,1103
(C22×D5).23Q8 = C22×C4⋊F5φ: Q8/C4C2 ⊆ Out C22×D580(C2^2xD5).23Q8320,1591
(C22×D5).24Q8 = D5×C2.C42φ: trivial image160(C2^2xD5).24Q8320,290
(C22×D5).25Q8 = C2×D5×C4⋊C4φ: trivial image160(C2^2xD5).25Q8320,1173

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