Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
270 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 270 conjugacy classes of subgroups — too many to draw. Only its 112 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. #13129866 | C2 | semidirect |
| 3. #13129865 | C2 | semidirect |
| 79. C8×C13 | M32 | semidirect |
| 83. #1055 | M32 | semidirect |
| 155. C13 | #12004 | semidirect |
| 177. C8 | #88098 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131169 | 2 |
| #13129866 | 2 |
| #13129865 | 2 |
| C82×D13 | 2 |
| #12004 | 13 |