Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
572 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 101 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×#11718803 | C2 | semidirect |
| 3. C2×#11718155 | C2 | semidirect |
| 4. #13116551 | C2 | semidirect |
| 5. C2×#11718153 | C2 | semidirect |
| 6. #13112931 | C2 | semidirect |
| 7. C13×#3058 | C2 | semidirect |
| 61. C2×D104 | D4 | semidirect |
| 68. #88059 | D4 | semidirect |
| 74. C2×#6090 | D4 | semidirect |
| 134. #3058 | 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×#11718803 | 2 |
| C2×#11718155 | 2 |
| #13116551 | 2 |
| C2×#11718153 | 2 |
| #13112931 | 2 |
| C13×#3058 | 2 |
| #13319 | 13 |