Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
554 conjugacy classes of subgroups; only the 132 normal subgroups are shown.
This group has 554 conjugacy classes of subgroups — too many to draw. Only its 132 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×#88098 | C2 | semidirect |
| 2. C2×#11718259 | C2 | semidirect |
| 3. C2×#11718259 | C2 | semidirect |
| 4. #13129874 | C2 | semidirect |
| 47. C2×#6092 | D4 | semidirect |
| 111. C22×D13 | M32 | semidirect |
| 116. C2×C4×C13 | M32 | semidirect |
| 256. C13 | #12977 | semidirect |
| 283. C2×C4 | #88098 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88098 | 2 |
| C2×#11718259 | 2 |
| #13129874 | 2 |
| C2×#11718495 | 2 |
| #12977 | 13 |