Home
About
Cn
Dn
Sn
An
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀

Extensions 1→N→G→Q→1 with N=C2×C24 and Q=C6

Direct product G=N×Q with N=C2×C24 and Q=C6
dρLabelID
C2×C6×C24288C2xC6xC24288,826

Semidirect products G=N:Q with N=C2×C24 and Q=C6
extensionφ:Q→Aut NdρLabelID
(C2×C24)⋊1C6 = C3×D6⋊C8φ: C6/C3 → C2 ⊆ Aut C2×C2496(C2xC24):1C6288,254
(C2×C24)⋊2C6 = C3×C2.D24φ: C6/C3 → C2 ⊆ Aut C2×C2496(C2xC24):2C6288,255
(C2×C24)⋊3C6 = C32×C22⋊C8φ: C6/C3 → C2 ⊆ Aut C2×C24144(C2xC24):3C6288,316
(C2×C24)⋊4C6 = C32×D4⋊C4φ: C6/C3 → C2 ⊆ Aut C2×C24144(C2xC24):4C6288,320
(C2×C24)⋊5C6 = C6×D24φ: C6/C3 → C2 ⊆ Aut C2×C2496(C2xC24):5C6288,674
(C2×C24)⋊6C6 = C3×C4○D24φ: C6/C3 → C2 ⊆ Aut C2×C24482(C2xC24):6C6288,675
(C2×C24)⋊7C6 = C6×C24⋊C2φ: C6/C3 → C2 ⊆ Aut C2×C2496(C2xC24):7C6288,673
(C2×C24)⋊8C6 = D8×C3×C6φ: C6/C3 → C2 ⊆ Aut C2×C24144(C2xC24):8C6288,829
(C2×C24)⋊9C6 = C32×C4○D8φ: C6/C3 → C2 ⊆ Aut C2×C24144(C2xC24):9C6288,832
(C2×C24)⋊10C6 = S3×C2×C24φ: C6/C3 → C2 ⊆ Aut C2×C2496(C2xC24):10C6288,670
(C2×C24)⋊11C6 = C6×C8⋊S3φ: C6/C3 → C2 ⊆ Aut C2×C2496(C2xC24):11C6288,671
(C2×C24)⋊12C6 = C3×C8○D12φ: C6/C3 → C2 ⊆ Aut C2×C24482(C2xC24):12C6288,672
(C2×C24)⋊13C6 = SD16×C3×C6φ: C6/C3 → C2 ⊆ Aut C2×C24144(C2xC24):13C6288,830
(C2×C24)⋊14C6 = M4(2)×C3×C6φ: C6/C3 → C2 ⊆ Aut C2×C24144(C2xC24):14C6288,827
(C2×C24)⋊15C6 = C32×C8○D4φ: C6/C3 → C2 ⊆ Aut C2×C24144(C2xC24):15C6288,828

Non-split extensions G=N.Q with N=C2×C24 and Q=C6
extensionφ:Q→Aut NdρLabelID
(C2×C24).1C6 = C9×C22⋊C8φ: C6/C3 → C2 ⊆ Aut C2×C24144(C2xC24).1C6288,48
(C2×C24).2C6 = C9×D4⋊C4φ: C6/C3 → C2 ⊆ Aut C2×C24144(C2xC24).2C6288,52
(C2×C24).3C6 = C9×Q8⋊C4φ: C6/C3 → C2 ⊆ Aut C2×C24288(C2xC24).3C6288,53
(C2×C24).4C6 = C9×C4⋊C8φ: C6/C3 → C2 ⊆ Aut C2×C24288(C2xC24).4C6288,55
(C2×C24).5C6 = C3×Dic3⋊C8φ: C6/C3 → C2 ⊆ Aut C2×C2496(C2xC24).5C6288,248
(C2×C24).6C6 = C3×C2.Dic12φ: C6/C3 → C2 ⊆ Aut C2×C2496(C2xC24).6C6288,250
(C2×C24).7C6 = C32×Q8⋊C4φ: C6/C3 → C2 ⊆ Aut C2×C24288(C2xC24).7C6288,321
(C2×C24).8C6 = C32×C4⋊C8φ: C6/C3 → C2 ⊆ Aut C2×C24288(C2xC24).8C6288,323
(C2×C24).9C6 = C3×C24⋊1C4φ: C6/C3 → C2 ⊆ Aut C2×C2496(C2xC24).9C6288,252
(C2×C24).10C6 = C6×Dic12φ: C6/C3 → C2 ⊆ Aut C2×C2496(C2xC24).10C6288,676
(C2×C24).11C6 = C3×C24.C4φ: C6/C3 → C2 ⊆ Aut C2×C24482(C2xC24).11C6288,253
(C2×C24).12C6 = C3×C8⋊Dic3φ: C6/C3 → C2 ⊆ Aut C2×C2496(C2xC24).12C6288,251
(C2×C24).13C6 = C9×C2.D8φ: C6/C3 → C2 ⊆ Aut C2×C24288(C2xC24).13C6288,57
(C2×C24).14C6 = D8×C18φ: C6/C3 → C2 ⊆ Aut C2×C24144(C2xC24).14C6288,182
(C2×C24).15C6 = Q16×C18φ: C6/C3 → C2 ⊆ Aut C2×C24288(C2xC24).15C6288,184
(C2×C24).16C6 = C32×C2.D8φ: C6/C3 → C2 ⊆ Aut C2×C24288(C2xC24).16C6288,325
(C2×C24).17C6 = Q16×C3×C6φ: C6/C3 → C2 ⊆ Aut C2×C24288(C2xC24).17C6288,831
(C2×C24).18C6 = C9×C8.C4φ: C6/C3 → C2 ⊆ Aut C2×C241442(C2xC24).18C6288,58
(C2×C24).19C6 = C9×C4○D8φ: C6/C3 → C2 ⊆ Aut C2×C241442(C2xC24).19C6288,185
(C2×C24).20C6 = C32×C8.C4φ: C6/C3 → C2 ⊆ Aut C2×C24144(C2xC24).20C6288,326
(C2×C24).21C6 = C6×C3⋊C16φ: C6/C3 → C2 ⊆ Aut C2×C2496(C2xC24).21C6288,245
(C2×C24).22C6 = C3×C12.C8φ: C6/C3 → C2 ⊆ Aut C2×C24482(C2xC24).22C6288,246
(C2×C24).23C6 = Dic3×C24φ: C6/C3 → C2 ⊆ Aut C2×C2496(C2xC24).23C6288,247
(C2×C24).24C6 = C3×C24⋊C4φ: C6/C3 → C2 ⊆ Aut C2×C2496(C2xC24).24C6288,249
(C2×C24).25C6 = C9×C4.Q8φ: C6/C3 → C2 ⊆ Aut C2×C24288(C2xC24).25C6288,56
(C2×C24).26C6 = SD16×C18φ: C6/C3 → C2 ⊆ Aut C2×C24144(C2xC24).26C6288,183
(C2×C24).27C6 = C32×C4.Q8φ: C6/C3 → C2 ⊆ Aut C2×C24288(C2xC24).27C6288,324
(C2×C24).28C6 = C9×C8⋊C4φ: C6/C3 → C2 ⊆ Aut C2×C24288(C2xC24).28C6288,47
(C2×C24).29C6 = C9×M5(2)φ: C6/C3 → C2 ⊆ Aut C2×C241442(C2xC24).29C6288,60
(C2×C24).30C6 = M4(2)×C18φ: C6/C3 → C2 ⊆ Aut C2×C24144(C2xC24).30C6288,180
(C2×C24).31C6 = C9×C8○D4φ: C6/C3 → C2 ⊆ Aut C2×C241442(C2xC24).31C6288,181
(C2×C24).32C6 = C32×C8⋊C4φ: C6/C3 → C2 ⊆ Aut C2×C24288(C2xC24).32C6288,315
(C2×C24).33C6 = C32×M5(2)φ: C6/C3 → C2 ⊆ Aut C2×C24144(C2xC24).33C6288,328

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁