Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
232 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 4. #13112906 | C2 | semidirect |
| 5. #13112905 | C2 | semidirect |
| 6. #13112899 | C2 | semidirect |
| 7. C13×#1367 | C2 | semidirect |
| 78. #1367 | D13 | semidirect |
| 94. C8×C13 | M32 | semidirect |
| 101. #1055 | M32 | semidirect |
| 181. C13 | #12017 | semidirect |
| 202. C8 | #88038 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116638 | 2 |
| #13116590 | 2 |
| C8×#6094 | 2 |
| #13112906 | 2 |
| #13112905 | 2 |
| #13112899 | 2 |
| C13×#1367 | 2 |
| #12017 | 13 |