Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
572 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 97 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×#88066 | C2 | semidirect |
| 2. C2×#11718558 | C2 | semidirect |
| 3. #13124480 | C2 | semidirect |
| 4. #13116553 | C2 | semidirect |
| 5. C2×#11718107 | C2 | semidirect |
| 6. #13112933 | C2 | semidirect |
| 7. C2×C13×#361 | C2 | semidirect |
| 54. C2×D104 | D4 | semidirect |
| 66. C13×#108 | D4 | semidirect |
| 74. C2×#6090 | D4 | semidirect |
| 135. C2×#361 | D13 | semidirect |
| 262. #108 | 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×#88066 | 2 |
| C2×#11718558 | 2 |
| #13124480 | 2 |
| #13116553 | 2 |
| C2×#11718107 | 2 |
| #13112933 | 2 |
| C2×C13×#361 | 2 |
| #13319 | 13 |