Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
2014 conjugacy classes of subgroups; only the 355 normal subgroups are shown.
This group has 2014 conjugacy classes of subgroups — too many to draw. Only its 355 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×#11718309 | C2 | semidirect |
| 3. #13113106 | C2 | semidirect |
| 5. #13113073 | C2 | semidirect |
| 13. C2×#88190 | C4 | semidirect |
| 89. C4×Dic13 | C22⋊C4 | semidirect |
| 247. C13 | #14169 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88190 | 2 |
| C2×#11718309 | 2 |
| #13113106 | 2 |
| #13113077 | 2 |
| #13113073 | 2 |
| C13×#1438 | 2 |
| #14169 | 13 |