Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
616 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 616 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 2. #11751108 | C2 | semidirect |
| 3. #11750942 | C2 | semidirect |
| 4. #11750795 | C2 | semidirect |
| 5. C3×C5×D4⋊C8 | C2 | semidirect |
| 6. #11746306 | C2 | semidirect |
| 7. #11746280 | C2 | semidirect |
| 18. #91758 | C22 | semidirect |
| 19. C3×C5×C4⋊C8 | C22 | semidirect |
| 20. C3×C4×C5×C8 | C22 | semidirect |
| 25. C4⋊(C3⋊#168) | C22 | semidirect |
| 31. C5×D4⋊C8 | D3 | semidirect |
| 65. C3×D4⋊C8 | D5 | semidirect |
| 78. C5×C4⋊C8 | C2×D3 | semidirect |
| 79. C4×C5×C8 | C2×D3 | semidirect |
| 93. C3×C5×D4 | SD16 | semidirect |
| 128. C3×C4⋊C8 | C2×D5 | semidirect |
| 129. C3×C4×C8 | C2×D5 | semidirect |
| 168. D4⋊C8 | D15 | semidirect |
| 222. C5×D4 | #204 | semidirect |
| 259. C4⋊C8 | C2×D15 | semidirect |
| 263. C4×C8 | C2×D15 | semidirect |
| 277. C3×D4 | #677 | semidirect |
| 348. C3×C5 | #1639 | semidirect |
| 392. D4 | #6706 | semidirect |
| 412. C5 | #68182 | semidirect |
| 432. C3 | #10598975 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D4×D60 | 2 |
| #11751108 | 2 |
| #11750942 | 2 |
| #11750795 | 2 |
| C3×C5×D4⋊C8 | 2 |
| #11746306 | 2 |
| #11746280 | 2 |
| #10598975 | 3 |
| #68182 | 5 |