Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
908 conjugacy classes of subgroups; only the 102 normal subgroups are shown.
This group has 908 conjugacy classes of subgroups — too many to draw. Only its 102 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 |
|---|---|---|
| 1. #13131687 | C2 | semidirect |
| 2. #13130658 | C2 | semidirect |
| 3. #13130072 | C2 | semidirect |
| 4. #13129679 | C2 | semidirect |
| 38. C22×#1057 | D4 | semidirect |
| 75. C24×C13 | M16 | semidirect |
| 118. C13×C22⋊C4 | M16 | semidirect |
| 311. C24 | #6122 | semidirect |
| 363. C22⋊C4 | #6122 | semidirect |
| 367. C13 | #8967 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131687 | 2 |
| #13130658 | 2 |
| #13130072 | 2 |
| #13129679 | 2 |
| #120×Dic13 | 2 |
| #8967 | 13 |