Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
572 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 99 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×D208 | C2 | semidirect |
| 2. C2×#11718803 | C2 | semidirect |
| 3. #13124484 | C2 | semidirect |
| 4. C2×#11718108 | C2 | semidirect |
| 5. #13116553 | C2 | semidirect |
| 6. #13112932 | C2 | semidirect |
| 7. C2×C13×#350 | C2 | semidirect |
| 61. C2×D104 | D4 | semidirect |
| 67. C2×C13×C16 | D4 | semidirect |
| 71. #88059 | D4 | semidirect |
| 137. C2×#350 | D13 | semidirect |
| 260. C2×C16 | C22⋊D13 | semidirect |
| 330. C13 | #13319 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D208 | 2 |
| C2×#11718803 | 2 |
| #13124484 | 2 |
| C2×#11718108 | 2 |
| #13116553 | 2 |
| #13112932 | 2 |
| C2×C13×#350 | 2 |
| #13319 | 13 |