Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
330 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 330 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 2. C2×#11718039 | C2 | semidirect |
| 3. C22⋊#88034 | C2 | semidirect |
| 4. #13112973 | C2 | semidirect |
| 5. C13×C22⋊C32 | C2 | semidirect |
| 14. C2×C13×C32 | C22 | semidirect |
| 15. C2×#88034 | C22 | semidirect |
| 69. C22⋊C32 | D13 | semidirect |
| 104. C2×C32 | C2×D13 | semidirect |
| 107. C22×C13 | M64 | semidirect |
| 115. C2×D13 | M64 | semidirect |
| 174. C13 | #13553 | semidirect |
| 208. C22 | #11718039 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C16×D13 | 2 |
| C2×#11718039 | 2 |
| C22⋊#88034 | 2 |
| #13112973 | 2 |
| C13×C22⋊C32 | 2 |
| #13553 | 13 |