Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
460 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 91 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×#91793 | C2 | semidirect |
| 2. #11751216 | C2 | semidirect |
| 3. C2×#91084 | C2 | semidirect |
| 4. C2×D240 | C2 | semidirect |
| 5. C3×C5×C22⋊C16 | C2 | semidirect |
| 6. #11746330 | C2 | semidirect |
| 7. #11746324 | C2 | semidirect |
| 29. C5×C22⋊C16 | D3 | semidirect |
| 48. Dic60 | D4 | semidirect |
| 52. D120 | D4 | semidirect |
| 60. C3×C22⋊C16 | D5 | semidirect |
| 145. C22⋊C16 | D15 | semidirect |
| 287. C3×C5 | #2186 | semidirect |
| 336. C5 | #69109 | semidirect |
| 352. C3 | #10599902 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#91793 | 2 |
| #11751216 | 2 |
| C2×#91084 | 2 |
| C2×D240 | 2 |
| C3×C5×C22⋊C16 | 2 |
| #11746330 | 2 |
| #11746324 | 2 |
| #10599902 | 3 |
| #69109 | 5 |