Finite Group DatabasebetaFinite Group DatabasebetaOrder 33472.
234 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 103 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. #30660367 | C2 | semidirect |
| 2. #30660365 | C2 | semidirect |
| 3. #30660361 | C2 | semidirect |
| 4. #30660356 | C2 | semidirect |
| 5. #30660352 | C2 | semidirect |
| 7. C4×Dic1046 | C2 | semidirect |
| 8. C4×D2092 | C2 | semidirect |
| 9. C4×C22⋊D523 | C2 | semidirect |
| 10. #30660330 | C2 | semidirect |
| 11. C2×C42×C523 | C2 | semidirect |
| 74. C523 | #529 | semidirect |
| 86. C2×C42 | D523 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #30660367 | 2 |
| #30660365 | 2 |
| #30660361 | 2 |
| #30660356 | 2 |
| #30660352 | 2 |
| #30660347 | 2 |
| C4×Dic1046 | 2 |
| C4×D2092 | 2 |
| C4×C22⋊D523 | 2 |
| #30660330 | 2 |
| C2×C42×C523 | 2 |
| #529 | 523 |