Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
476 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 67 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. #13116753 | C2 | semidirect |
| 3. #13112844 | C2 | semidirect |
| 4. #13112760 | C2 | semidirect |
| 5. C13×#2001 | C2 | semidirect |
| 6. C22×C13×Q16 | C22 | semidirect |
| 16. C13×#340 | C22 | semidirect |
| 18. C22⋊#6090 | C22 | semidirect |
| 93. #2001 | D13 | semidirect |
| 100. C23×C13 | SD32 | semidirect |
| 135. C22×Q16 | C2×D13 | semidirect |
| 147. #340 | C2×D13 | semidirect |
| 247. C13 | #12105 | semidirect |
| 256. C23 | #88068 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125587 | 2 |
| #13116753 | 2 |
| #13112844 | 2 |
| #13112760 | 2 |
| C13×#2001 | 2 |
| #12105 | 13 |