Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
754 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 754 conjugacy classes of subgroups — too many to draw. Only its 153 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. C2×#11718355 | C2 | semidirect |
| 3. #13115642 | C2 | semidirect |
| 4. #13115638 | C2 | semidirect |
| 5. C13×#1273 | C2 | semidirect |
| 84. #1273 | D13 | semidirect |
| 213. C13 | #10307 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718356 | 2 |
| C2×#11718355 | 2 |
| #13115642 | 2 |
| #13115638 | 2 |
| C13×#1273 | 2 |
| #10307 | 13 |