Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
696 conjugacy classes of subgroups; only the 274 normal subgroups are shown.
This group has 696 conjugacy classes of subgroups — too many to draw. Only its 274 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. #13130933 | C2 | semidirect |
| 3. #13130889 | C2 | semidirect |
| 5. #13130768 | C2 | semidirect |
| 6. #13130763 | C2 | semidirect |
| 31. C13×#126 | C8 | semidirect |
| 67. C13×C4⋊C4 | C2×C8 | semidirect |
| 69. C42×C13 | C2×C8 | semidirect |
| 145. #126 | #1057 | semidirect |
| 185. C4⋊C4 | C2×#1057 | semidirect |
| 193. C42 | C2×#1057 | semidirect |
| 194. C13 | #23375 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130933 | 2 |
| #13130905 | 2 |
| #13130889 | 2 |
| #13130779 | 2 |
| #13130768 | 2 |
| #13130763 | 2 |
| #126×Dic13 | 2 |
| #23375 | 13 |