Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
386 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 4. #13112807 | C2 | semidirect |
| 5. #13112806 | C2 | semidirect |
| 6. #13112805 | C2 | semidirect |
| 7. C13×#1334 | C2 | semidirect |
| 33. Q16×D13 | C8 | semidirect |
| 111. #1334 | D13 | semidirect |
| 256. C13 | #11600 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×Q16×D13 | 2 |
| #13116429 | 2 |
| #13113581 | 2 |
| #13112807 | 2 |
| #13112806 | 2 |
| #13112805 | 2 |
| C13×#1334 | 2 |
| #11600 | 13 |