Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
254 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 254 conjugacy classes of subgroups — too many to draw. Only its 87 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. C8×D104 | C2 | semidirect |
| 3. #13112909 | C2 | semidirect |
| 4. #13112797 | C2 | semidirect |
| 5. #13112796 | C2 | semidirect |
| 6. #13112753 | C2 | semidirect |
| 7. C8×C13×D8 | C2 | semidirect |
| 36. #88066 | C8 | semidirect |
| 50. C13×D8 | C2×C8 | semidirect |
| 65. D104 | C2×C8 | semidirect |
| 69. #6090 | C2×C8 | semidirect |
| 72. C8×D8 | D13 | semidirect |
| 162. D8 | C8×D13 | semidirect |
| 180. C13 | #12045 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#88066 | 2 |
| C8×D104 | 2 |
| #13112909 | 2 |
| #13112797 | 2 |
| #13112796 | 2 |
| #13112753 | 2 |
| C8×C13×D8 | 2 |
| #12045 | 13 |