Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
532 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 92 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. C2×C3×D5×D8 | C2 | semidirect |
| 2. C2×C5×#826 | C2 | semidirect |
| 3. #11747898 | C2 | semidirect |
| 4. C2×#90937 | C2 | semidirect |
| 5. #11746383 | C2 | semidirect |
| 6. #11745892 | C2 | semidirect |
| 7. #11745879 | C2 | semidirect |
| 11. C2×C5×D24 | C22 | semidirect |
| 18. #91102 | C22 | semidirect |
| 19. C2×C3⋊#672 | C22 | semidirect |
| 21. C2×C5×C3⋊C16 | C22 | semidirect |
| 25. C2×D5×D8 | D3 | semidirect |
| 42. C3×C5×D8 | D4 | semidirect |
| 50. C3×D40 | D4 | semidirect |
| 58. C2×#826 | D5 | semidirect |
| 110. C2×D24 | C2×D5 | semidirect |
| 116. C2×C3⋊C16 | C2×D5 | semidirect |
| 129. C5×D8 | #67 | semidirect |
| 136. D40 | #67 | semidirect |
| 161. C2×C3×D5 | D16 | semidirect |
| 179. C3×D8 | C22⋊D5 | semidirect |
| 271. C2×D5 | #826 | semidirect |
| 291. D8 | #1201 | semidirect |
| 300. C3×C5 | #2184 | semidirect |
| 356. C5 | #72035 | semidirect |
| 375. C3 | #10602260 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C3×D5×D8 | 2 |
| C2×C5×#826 | 2 |
| #11747898 | 2 |
| C2×#90937 | 2 |
| #11746383 | 2 |
| #11745892 | 2 |
| #11745879 | 2 |
| #10602260 | 3 |
| #72035 | 5 |