Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1214 conjugacy classes of subgroups; only the 320 normal subgroups are shown.
This group has 1214 conjugacy classes of subgroups — too many to draw. Only its 320 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 |
|---|---|---|
| 3. C2×#11718280 | C2 | direct (N × H) |
| 7. C22×C13×Q16 | C4 | semidirect |
| 11. C2×Q16×D13 | C4 | semidirect |
| 13. C22×Dic52 | C4 | semidirect |
| 20. #11718280 | C22 | direct (N × H) |
| 34. C2×C13×Q16 | C2×C4 | semidirect |
| 42. Q16×D13 | C2×C4 | semidirect |
| 45. C2×Dic52 | C2×C4 | semidirect |
| 83. C13×Q16 | C22×C4 | semidirect |
| 91. Dic52 | C22×C4 | semidirect |
| 139. C22×Q16 | #261 | semidirect |
| 148. C22×C13 | #358 | semidirect |
| 150. C2×D13 | #358 | semidirect |
| 182. C2×Q16 | C2×#261 | semidirect |
| 196. C2×C13 | C2×#358 | semidirect |
| 198. D13 | C2×#358 | semidirect |
| 230. Q16 | C22×#261 | semidirect |
| 243. C13 | C22×#358 | semidirect |
| 279. C22 | #11718280 | direct (N × H) |
| 291. C2 | C2×#11718280 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D13⋊C16 | 2 |
| C22×#88102 | 2 |
| C2×#11718280 | 2 |
| C22×Q16×D13 | 2 |
| C22×#358 | 13 |