Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
212 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 212 conjugacy classes of subgroups — too many to draw. Only its 79 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. #13116674 | C2 | semidirect |
| 3. #13112911 | C2 | semidirect |
| 4. #13112809 | C2 | semidirect |
| 5. #13112808 | C2 | semidirect |
| 6. #13112752 | C2 | semidirect |
| 7. C13×#2170 | C2 | semidirect |
| 35. #88069 | C8 | semidirect |
| 36. #88068 | C8 | semidirect |
| 37. #88067 | C8 | semidirect |
| 38. #88066 | C8 | semidirect |
| 76. #2170 | D13 | semidirect |
| 175. C13 | #12047 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116715 | 2 |
| #13116674 | 2 |
| #13112911 | 2 |
| #13112809 | 2 |
| #13112808 | 2 |
| #13112752 | 2 |
| C13×#2170 | 2 |
| #12047 | 13 |