Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
522 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 522 conjugacy classes of subgroups — too many to draw. Only its 107 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. #13123636 | C2 | semidirect |
| 3. C2×#11718110 | C2 | semidirect |
| 4. #13115713 | C2 | semidirect |
| 5. #13112941 | C2 | semidirect |
| 6. #13112919 | C2 | semidirect |
| 7. C13×#2140 | C2 | semidirect |
| 17. #11718808 | C4 | semidirect |
| 35. C2×C13×D8 | C2×C4 | semidirect |
| 67. #88052 | C2×C4 | semidirect |
| 116. Dic52 | C22⋊C4 | semidirect |
| 118. D104 | C22⋊C4 | semidirect |
| 126. #2140 | D13 | semidirect |
| 220. C2×D8 | C4×D13 | semidirect |
| 306. C13 | #13025 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718808 | 2 |
| #13123636 | 2 |
| C2×#11718110 | 2 |
| #13115713 | 2 |
| #13112941 | 2 |
| #13112919 | 2 |
| C13×#2140 | 2 |
| #13025 | 13 |