Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
354 conjugacy classes of subgroups; only the 188 normal subgroups are shown.
This group has 354 conjugacy classes of subgroups — too many to draw. Only its 188 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. #13129748 | C2 | semidirect |
| 3. C8×#6092 | C2 | semidirect |
| 20. #88098 | C8 | direct (N × H) |
| 47. #6092 | C2×C8 | semidirect |
| 64. C8×C13 | M32 | semidirect |
| 66. #1055 | M32 | semidirect |
| 124. C13 | C8×M32 | semidirect |
| 139. C8 | #88098 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#88098 | 2 |
| #13129748 | 2 |
| C8×#6092 | 2 |
| C82×D13 | 2 |
| C8×M32 | 13 |