Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
354 conjugacy classes of subgroups; only the 251 normal subgroups are shown.
This group has 354 conjugacy classes of subgroups — too many to draw. Only its 251 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. #13112753 | C2 | semidirect |
| 3. C8×#6090 | C2 | semidirect |
| 22. #88052 | C8 | direct (N × H) |
| 36. #6090 | C2×C8 | semidirect |
| 50. C8×C13 | M32 | semidirect |
| 93. C13 | C8×M32 | semidirect |
| 102. C8 | #88052 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#88052 | 2 |
| #13112753 | 2 |
| C8×#6090 | 2 |
| C2×C82×C13 | 2 |
| C8×M32 | 13 |