Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
2286 conjugacy classes of subgroups; only the 360 normal subgroups are shown.
This group has 2286 conjugacy classes of subgroups — too many to draw. Only its 360 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. C2×#11719061 | C2 | semidirect |
| 2. #13130012 | C2 | semidirect |
| 7. C22×C42×C13 | C4 | semidirect |
| 8. C22×C4×Dic13 | C4 | semidirect |
| 10. C2×C42×D13 | C4 | semidirect |
| 11. C2×C42×D13 | C4 | semidirect |
| 77. C42×C13 | C22⋊C4 | semidirect |
| 80. C4×Dic13 | C22⋊C4 | semidirect |
| 127. C22×C42 | #261 | semidirect |
| 133. C22×C13 | #383 | semidirect |
| 140. C2×D13 | #383 | semidirect |
| 217. C42 | C22⋊#261 | semidirect |
| 218. C13 | #14683 | semidirect |
| 262. C22 | #11719061 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719061 | 2 |
| #13130012 | 2 |
| #13130010 | 2 |
| C22×C42×D13 | 2 |
| #14683 | 13 |