Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1502 conjugacy classes of subgroups; only the 291 normal subgroups are shown.
This group has 1502 conjugacy classes of subgroups — too many to draw. Only its 291 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×#11718065 | C2 | direct (N × H) |
| 6. C23×Dic26 | C4 | semidirect |
| 13. C2×#88190 | C4 | semidirect |
| 15. C22×C4×Dic13 | C4 | semidirect |
| 20. #11718065 | C22 | direct (N × H) |
| 37. C22×Dic26 | C2×C4 | semidirect |
| 49. #88190 | C2×C4 | semidirect |
| 52. C2×C4×Dic13 | C2×C4 | semidirect |
| 100. C2×Dic26 | C22×C4 | semidirect |
| 110. C4×Dic13 | C22×C4 | semidirect |
| 195. C22×C13 | #354 | semidirect |
| 247. C2×C13 | C2×#354 | semidirect |
| 302. C13 | C22×#354 | semidirect |
| 367. C22 | #11718065 | direct (N × H) |
| 383. C2 | C2×#11718065 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88190 | 2 |
| C22×#88074 | 2 |
| C2×#11718065 | 2 |
| C22×C13×#99 | 2 |
| C22×#354 | 13 |