Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1354 conjugacy classes of subgroups; only the 368 normal subgroups are shown.
This group has 1354 conjugacy classes of subgroups — too many to draw. Only its 368 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. #13130574 | C2 | semidirect |
| 3. #13130562 | C2 | semidirect |
| 10. D13⋊(C22⋊C8) | C4 | semidirect |
| 12. C2×#88110 | C22 | semidirect |
| 17. #11718290 | C22 | semidirect |
| 29. C2×D13⋊C8 | C2×C4 | semidirect |
| 36. #88111 | C2×C4 | semidirect |
| 92. C22×D13 | #97 | semidirect |
| 212. C13 | #20526 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D13⋊(C22⋊C8) | 2 |
| #13130574 | 2 |
| #13130562 | 2 |
| C2×#11718327 | 2 |
| #20526 | 13 |