Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
270 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 270 conjugacy classes of subgroups — too many to draw. Only its 115 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 |
|---|---|---|
| 3. #13112900 | C2 | semidirect |
| 4. #13112899 | C2 | semidirect |
| 5. C13×#1367 | C2 | semidirect |
| 66. #1367 | D13 | semidirect |
| 82. C8×C13 | M32 | semidirect |
| 88. #1055 | M32 | semidirect |
| 160. C13 | #11996 | semidirect |
| 181. C8 | #88038 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116590 | 2 |
| C82×D13 | 2 |
| #13112900 | 2 |
| #13112899 | 2 |
| C13×#1367 | 2 |
| #11996 | 13 |