Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
488 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 100 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 |
|---|---|---|
| 2. #13131005 | C2 | semidirect |
| 3. #13130138 | C2 | semidirect |
| 5. #13129682 | C2 | semidirect |
| 6. #13129669 | C2 | semidirect |
| 89. C2×Q8×C13 | M16 | semidirect |
| 140. #6099 | M16 | semidirect |
| 307. C2×Q8 | #6118 | semidirect |
| 355. C13 | #8955 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131757 | 2 |
| #13131005 | 2 |
| #13130138 | 2 |
| #13130129 | 2 |
| #13129682 | 2 |
| #13129669 | 2 |
| #13123651 | 2 |
| #8955 | 13 |