Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
204 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 204 conjugacy classes of subgroups — too many to draw. Only its 100 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. C2×#11718249 | C2 | semidirect |
| 2. C22×#88036 | C2 | semidirect |
| 3. C4⋊#88036 | C2 | semidirect |
| 4. C22⋊#88036 | C2 | semidirect |
| 5. C22⋊#88036 | C2 | semidirect |
| 6. #13129943 | C2 | semidirect |
| 39. #88036 | D4 | semidirect |
| 103. C22×C13 | M64 | semidirect |
| 155. C13 | #13645 | semidirect |
| 178. C22 | #11718249 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718249 | 2 |
| C22×#88036 | 2 |
| C4⋊#88036 | 2 |
| C22⋊#88036 | 2 |
| #13129943 | 2 |
| D4×#6090 | 2 |
| #13645 | 13 |