Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
2222 conjugacy classes of subgroups; only the 667 normal subgroups are shown.
This group has 2222 conjugacy classes of subgroups — too many to draw. Only its 667 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. #13120796 | C2 | direct (N × H) |
| 2. C2×#11718336 | C2 | semidirect |
| 3. C2×#11718337 | C2 | semidirect |
| 5. C2×#11718589 | C2 | semidirect |
| 6. C2×C13×#376 | C2 | semidirect |
| 13. C13×#376 | C22 | semidirect |
| 18. #11718589 | C22 | semidirect |
| 19. #11718337 | C22 | semidirect |
| 20. #11718336 | C22 | semidirect |
| 73. C2×#376 | D13 | semidirect |
| 109. #376 | C2×D13 | semidirect |
| 147. C2×C13 | #2644 | semidirect |
| 178. C13 | C2×#2644 | semidirect |
| 219. C2 | #13120796 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13120796 | 2 |
| C2×#11718336 | 2 |
| C2×#11718337 | 2 |
| C2×#11718600 | 2 |
| C2×#11718589 | 2 |
| C2×C13×#376 | 2 |
| C2×#2644 | 13 |