Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
486 conjugacy classes of subgroups; only the 184 normal subgroups are shown.
This group has 486 conjugacy classes of subgroups — too many to draw. Only its 184 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. C2×#11718258 | C2 | semidirect |
| 4. #13129875 | C2 | semidirect |
| 8. C22×#6092 | C4 | semidirect |
| 15. C22⋊#6092 | C4 | semidirect |
| 66. #6092 | C22⋊C4 | semidirect |
| 109. C22×C13 | #346 | semidirect |
| 172. C13 | #12611 | semidirect |
| 198. C22 | #11718258 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×#6092 | 2 |
| C2×C22⋊#6092 | 2 |
| C2×#11718258 | 2 |
| #13129875 | 2 |
| #13114610 | 2 |
| #12611 | 13 |