Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1502 conjugacy classes of subgroups; only the 331 normal subgroups are shown.
This group has 1502 conjugacy classes of subgroups — too many to draw. Only its 331 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. C2×#11718376 | C2 | semidirect |
| 2. C2×#11718373 | C2 | semidirect |
| 3. C2×#11718357 | C2 | semidirect |
| 4. #13123193 | C2 | semidirect |
| 5. C4×C13×#97 | C2 | semidirect |
| 42. C13×#97 | D4 | semidirect |
| 43. C4×C8×C13 | D4 | semidirect |
| 75. C4×#97 | D13 | semidirect |
| 143. #97 | D52 | semidirect |
| 144. C4×C8 | D52 | semidirect |
| 175. C13 | #33306 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718376 | 2 |
| C2×#11718373 | 2 |
| C2×#11718357 | 2 |
| #13123193 | 2 |
| C4×C13×#97 | 2 |
| #33306 | 13 |