Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
386 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 97 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. #13115611 | C2 | semidirect |
| 2. #13113521 | C2 | semidirect |
| 4. C2×#11718138 | C2 | semidirect |
| 6. #13112687 | C2 | semidirect |
| 278. C13 | #10551 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13115611 | 2 |
| #13113521 | 2 |
| #13113513 | 2 |
| C2×#11718138 | 2 |
| #13113235 | 2 |
| #13112687 | 2 |
| C13×#3141 | 2 |
| #10551 | 13 |