Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
284 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 99 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. #13117118 | C2 | semidirect |
| 3. #13117064 | C2 | semidirect |
| 5. #13114433 | C2 | semidirect |
| 7. C8×C13×C16 | C2 | semidirect |
| 69. C13×C16 | SD16 | semidirect |
| 76. C8×C16 | D13 | semidirect |
| 93. C8×C13 | SD32 | semidirect |
| 171. C16 | #6095 | semidirect |
| 172. C13 | #12505 | semidirect |
| 189. C8 | #88040 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117118 | 2 |
| #13117092 | 2 |
| #13117064 | 2 |
| #13117060 | 2 |
| #13114433 | 2 |
| #13114428 | 2 |
| C8×C13×C16 | 2 |
| #12505 | 13 |