Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
492 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 92 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. #13131146 | C2 | semidirect |
| 3. C2×#11718280 | C2 | semidirect |
| 5. #13129912 | C2 | semidirect |
| 6. #13129899 | C2 | semidirect |
| 20. C13×#473 | C4 | semidirect |
| 22. #11718853 | C4 | semidirect |
| 23. #11718804 | C4 | semidirect |
| 24. #11718557 | C4 | semidirect |
| 43. C2×C13×Q16 | C2×C4 | semidirect |
| 63. C2×Dic52 | C2×C4 | semidirect |
| 81. C13×#108 | C2×C4 | semidirect |
| 87. #88059 | C2×C4 | semidirect |
| 221. #473 | #261 | semidirect |
| 270. C2×Q16 | C2×#261 | semidirect |
| 298. #108 | C2×#261 | semidirect |
| 385. C13 | #12997 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131491 | 2 |
| #13131146 | 2 |
| C2×#11718280 | 2 |
| D13⋊#350 | 2 |
| #13129912 | 2 |
| #13129899 | 2 |
| D13×#473 | 2 |
| #12997 | 13 |