Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
402 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 402 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. C4×#88038 | C2 | semidirect |
| 3. D13×#335 | C2 | semidirect |
| 4. #13112801 | C2 | semidirect |
| 5. #13112799 | C2 | semidirect |
| 6. #13112797 | C2 | semidirect |
| 7. C13×#1331 | C2 | semidirect |
| 35. #88166 | C8 | semidirect |
| 76. C13×D8 | C2×C8 | semidirect |
| 99. Dic52 | C2×C8 | semidirect |
| 112. #1331 | D13 | semidirect |
| 238. D8 | C8×D13 | semidirect |
| 265. C13 | #11592 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#88166 | 2 |
| C4×#88038 | 2 |
| D13×#335 | 2 |
| #13112801 | 2 |
| #13112799 | 2 |
| #13112797 | 2 |
| C13×#1331 | 2 |
| #11592 | 13 |