Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
798 conjugacy classes of subgroups; only the 227 normal subgroups are shown.
This group has 798 conjugacy classes of subgroups — too many to draw. Only its 227 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. #13125395 | C2 | semidirect |
| 2. #13125350 | C2 | semidirect |
| 4. #13114469 | C2 | semidirect |
| 5. #13114464 | C2 | semidirect |
| 6. #13114458 | C2 | semidirect |
| 7. C2×C13×#322 | C2 | semidirect |
| 69. C2×C8×C13 | SD16 | semidirect |
| 93. C2×#322 | D13 | semidirect |
| 192. C2×C8 | #6095 | semidirect |
| 206. C13 | #19608 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125395 | 2 |
| #13125350 | 2 |
| #13125264 | 2 |
| #13114469 | 2 |
| #13114464 | 2 |
| #13114458 | 2 |
| C2×C13×#322 | 2 |
| #19608 | 13 |