Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
344 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 100 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C5×C8×Dic6 | C2 | semidirect |
| 4. #11746927 | C2 | semidirect |
| 5. #11746278 | C2 | semidirect |
| 6. #11745856 | C2 | semidirect |
| 54. C8×Dic6 | D5 | semidirect |
| 81. C5×Dic6 | SD16 | semidirect |
| 91. C3×C5×C8 | SD16 | semidirect |
| 185. C5×C8 | #214 | semidirect |
| 222. Dic6 | #677 | semidirect |
| 224. C3×C8 | #688 | semidirect |
| 259. C3×C5 | #1666 | semidirect |
| 296. C8 | #6655 | semidirect |
| 301. C5 | #71272 | semidirect |
| 314. C3 | #10601731 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×C8×Dic6 | 2 |
| C3×#64982 | 2 |
| #11747068 | 2 |
| #11746927 | 2 |
| #11746278 | 2 |
| #11745856 | 2 |
| #11745852 | 2 |
| #10601731 | 3 |
| #71272 | 5 |