Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
216 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 76 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. #13131223 | C2 | semidirect |
| 2. #13129871 | C2 | semidirect |
| 3. #13129798 | C2 | semidirect |
| 4. C16×#1057 | C2 | semidirect |
| 24. C13×Q32 | C8 | semidirect |
| 25. C13×SD32 | C8 | semidirect |
| 26. C13×D16 | C8 | semidirect |
| 86. Q32 | #1057 | semidirect |
| 87. SD32 | #1057 | semidirect |
| 88. D16 | #1057 | semidirect |
| 121. C13 | #12046 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131223 | 2 |
| #13129871 | 2 |
| #13129798 | 2 |
| C16×#1057 | 2 |
| #13116717 | 2 |
| #12046 | 13 |