# Extensions 1→N→G→Q→1 with N=C23×D5 and Q=C4

Direct product G=N×Q with N=C23×D5 and Q=C4
dρLabelID
D5×C23×C4160D5xC2^3xC4320,1609

Semidirect products G=N:Q with N=C23×D5 and Q=C4
extensionφ:Q→Out NdρLabelID
(C23×D5)⋊1C4 = C53C2≀C4φ: C4/C1C4 ⊆ Out C23×D5408+(C2^3xD5):1C4320,29
(C23×D5)⋊2C4 = C23.3D20φ: C4/C1C4 ⊆ Out C23×D5408+(C2^3xD5):2C4320,33
(C23×D5)⋊3C4 = D5×C23⋊C4φ: C4/C1C4 ⊆ Out C23×D5408+(C2^3xD5):3C4320,370
(C23×D5)⋊4C4 = C2×C23.1D10φ: C4/C1C4 ⊆ Out C23×D580(C2^3xD5):4C4320,581
(C23×D5)⋊5C4 = C5⋊C2≀C4φ: C4/C1C4 ⊆ Out C23×D5408+(C2^3xD5):5C4320,202
(C23×D5)⋊6C4 = C2×D10.D4φ: C4/C1C4 ⊆ Out C23×D580(C2^3xD5):6C4320,1082
(C23×D5)⋊7C4 = (C2×D4)⋊7F5φ: C4/C1C4 ⊆ Out C23×D5408+(C2^3xD5):7C4320,1108
(C23×D5)⋊8C4 = C24.48D10φ: C4/C2C2 ⊆ Out C23×D580(C2^3xD5):8C4320,582
(C23×D5)⋊9C4 = C2×D5×C22⋊C4φ: C4/C2C2 ⊆ Out C23×D580(C2^3xD5):9C4320,1156
(C23×D5)⋊10C4 = C22×D10⋊C4φ: C4/C2C2 ⊆ Out C23×D5160(C2^3xD5):10C4320,1459
(C23×D5)⋊11C4 = C244F5φ: C4/C2C2 ⊆ Out C23×D540(C2^3xD5):11C4320,1138
(C23×D5)⋊12C4 = C22×C22⋊F5φ: C4/C2C2 ⊆ Out C23×D580(C2^3xD5):12C4320,1607
(C23×D5)⋊13C4 = C24×F5φ: C4/C2C2 ⊆ Out C23×D580(C2^3xD5):13C4320,1638

Non-split extensions G=N.Q with N=C23×D5 and Q=C4
extensionφ:Q→Out NdρLabelID
(C23×D5).1C4 = C53(C23⋊C8)φ: C4/C1C4 ⊆ Out C23×D580(C2^3xD5).1C4320,26
(C23×D5).2C4 = D5×C4.D4φ: C4/C1C4 ⊆ Out C23×D5408+(C2^3xD5).2C4320,371
(C23×D5).3C4 = C2×C20.46D4φ: C4/C1C4 ⊆ Out C23×D580(C2^3xD5).3C4320,757
(C23×D5).4C4 = C5⋊(C23⋊C8)φ: C4/C1C4 ⊆ Out C23×D580(C2^3xD5).4C4320,253
(C23×D5).5C4 = D5⋊(C4.D4)φ: C4/C1C4 ⊆ Out C23×D5408+(C2^3xD5).5C4320,1116
(C23×D5).6C4 = C2×C23.F5φ: C4/C1C4 ⊆ Out C23×D580(C2^3xD5).6C4320,1137
(C23×D5).7C4 = D5×C22⋊C8φ: C4/C2C2 ⊆ Out C23×D580(C2^3xD5).7C4320,351
(C23×D5).8C4 = D107M4(2)φ: C4/C2C2 ⊆ Out C23×D580(C2^3xD5).8C4320,353
(C23×D5).9C4 = C2×D101C8φ: C4/C2C2 ⊆ Out C23×D5160(C2^3xD5).9C4320,735
(C23×D5).10C4 = D108M4(2)φ: C4/C2C2 ⊆ Out C23×D580(C2^3xD5).10C4320,753
(C23×D5).11C4 = C22×C8⋊D5φ: C4/C2C2 ⊆ Out C23×D5160(C2^3xD5).11C4320,1409
(C23×D5).12C4 = C2×D5×M4(2)φ: C4/C2C2 ⊆ Out C23×D580(C2^3xD5).12C4320,1415
(C23×D5).13C4 = C2×D10⋊C8φ: C4/C2C2 ⊆ Out C23×D5160(C2^3xD5).13C4320,1089
(C23×D5).14C4 = D10.11M4(2)φ: C4/C2C2 ⊆ Out C23×D580(C2^3xD5).14C4320,1091
(C23×D5).15C4 = D109M4(2)φ: C4/C2C2 ⊆ Out C23×D580(C2^3xD5).15C4320,1093
(C23×D5).16C4 = D1010M4(2)φ: C4/C2C2 ⊆ Out C23×D580(C2^3xD5).16C4320,1094
(C23×D5).17C4 = C22×D5⋊C8φ: C4/C2C2 ⊆ Out C23×D5160(C2^3xD5).17C4320,1587
(C23×D5).18C4 = C22×C4.F5φ: C4/C2C2 ⊆ Out C23×D5160(C2^3xD5).18C4320,1588
(C23×D5).19C4 = C2×D5⋊M4(2)φ: C4/C2C2 ⊆ Out C23×D580(C2^3xD5).19C4320,1589
(C23×D5).20C4 = D5×C22×C8φ: trivial image160(C2^3xD5).20C4320,1408

׿
×
𝔽