Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
602 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 602 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 |
|---|---|---|
| 2. #13120194 | C2 | semidirect |
| 3. #13113396 | C2 | semidirect |
| 4. #13113265 | C2 | semidirect |
| 5. #13113228 | C2 | semidirect |
| 6. #13112695 | C2 | semidirect |
| 7. C13×#3103 | C2 | semidirect |
| 111. C2×D52 | SD16 | semidirect |
| 146. #3103 | D13 | semidirect |
| 377. C13 | #9998 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124296 | 2 |
| #13120194 | 2 |
| #13113396 | 2 |
| #13113265 | 2 |
| #13113228 | 2 |
| #13112695 | 2 |
| C13×#3103 | 2 |
| #9998 | 13 |