Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
284 conjugacy classes of subgroups; only the 132 normal subgroups are shown.
This group has 284 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 |
|---|---|---|
| 3. #13129749 | C2 | semidirect |
| 4. #13129749 | C2 | semidirect |
| 5. #13129748 | C2 | semidirect |
| 6. C8×#6092 | C2 | semidirect |
| 65. #6092 | M16 | semidirect |
| 87. C8×C13 | M32 | semidirect |
| 164. C13 | #11409 | semidirect |
| 183. C8 | #88098 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131195 | 2 |
| C4×#88098 | 2 |
| #13129749 | 2 |
| #13129748 | 2 |
| C8×#6092 | 2 |
| #13113115 | 2 |
| #11409 | 13 |