Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
614 conjugacy classes of subgroups; only the 230 normal subgroups are shown.
This group has 614 conjugacy classes of subgroups — too many to draw. Only its 230 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. #13131222 | C2 | semidirect |
| 2. #13131193 | C2 | semidirect |
| 3. #13131064 | C2 | semidirect |
| 7. C2×#88098 | C22 | semidirect |
| 14. #11718259 | C22 | semidirect |
| 15. C4⋊#6092 | C22 | semidirect |
| 16. C4×#6092 | C22 | semidirect |
| 74. C2×C4×C13 | M32 | semidirect |
| 164. C13 | #33489 | semidirect |
| 179. C2×C4 | #88098 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131222 | 2 |
| #13131193 | 2 |
| #13131064 | 2 |
| C2×#11718495 | 2 |
| #33489 | 13 |