Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
574 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 574 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 |
|---|---|---|
| 2. C2×#11718280 | C2 | semidirect |
| 4. #13129893 | C2 | semidirect |
| 14. C13×#467 | C4 | semidirect |
| 15. #11718849 | C4 | semidirect |
| 16. #11718777 | C4 | semidirect |
| 18. #11718548 | C4 | semidirect |
| 32. C2×C13×Q16 | C2×C4 | semidirect |
| 41. C2×Dic52 | C2×C4 | semidirect |
| 60. C13×#107 | C2×C4 | semidirect |
| 63. #88058 | C2×C4 | semidirect |
| 186. #467 | #261 | semidirect |
| 197. C22×C13 | #358 | semidirect |
| 205. C2×D13 | #358 | semidirect |
| 230. C2×Q16 | C2×#261 | semidirect |
| 260. #107 | C2×#261 | semidirect |
| 328. C13 | #12993 | semidirect |
| 393. C22 | #11718280 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88102 | 2 |
| C2×#11718280 | 2 |
| D13⋊(C22⋊C16) | 2 |
| #13129893 | 2 |
| D13×#467 | 2 |
| #12993 | 13 |