Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
626 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 626 conjugacy classes of subgroups — too many to draw. Only its 112 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. C22×#88102 | C2 | semidirect |
| 2. C2×#11718276 | C2 | semidirect |
| 3. D13⋊(C22⋊C16) | C2 | semidirect |
| 4. #13129893 | C2 | semidirect |
| 14. C13×#466 | C4 | semidirect |
| 15. #11718818 | C4 | semidirect |
| 16. #11718776 | C4 | semidirect |
| 18. #11718544 | C4 | semidirect |
| 33. C2×C13×D8 | C2×C4 | semidirect |
| 43. C2×D104 | C2×C4 | semidirect |
| 57. #88102 | D4 | semidirect |
| 60. C13×#107 | C2×C4 | semidirect |
| 64. #88058 | C2×C4 | semidirect |
| 196. #466 | #261 | semidirect |
| 210. C22×C13 | #357 | semidirect |
| 225. C2×D13 | #357 | semidirect |
| 249. C2×D8 | C2×#261 | semidirect |
| 278. #107 | C2×#261 | semidirect |
| 350. C13 | #12991 | semidirect |
| 433. C22 | #11718276 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88102 | 2 |
| C2×#11718276 | 2 |
| D13⋊(C22⋊C16) | 2 |
| #13129893 | 2 |
| D13×#466 | 2 |
| #12991 | 13 |