Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
306 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 306 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. #13117109 | C2 | semidirect |
| 3. #13117061 | C2 | semidirect |
| 4. #13117059 | C2 | semidirect |
| 5. #13114428 | C2 | semidirect |
| 6. C8×#6090 | C2 | semidirect |
| 7. C13×#1706 | C2 | semidirect |
| 70. #6090 | SD16 | semidirect |
| 76. #1706 | D13 | semidirect |
| 96. C8×C13 | D16 | semidirect |
| 179. C13 | #12503 | semidirect |
| 198. C8 | #88066 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117109 | 2 |
| #13117085 | 2 |
| #13117061 | 2 |
| #13117059 | 2 |
| #13114428 | 2 |
| C8×#6090 | 2 |
| C13×#1706 | 2 |
| #12503 | 13 |