Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
658 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 658 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 |
|---|---|---|
| 2. #13119835 | C2 | semidirect |
| 3. #13113505 | C2 | semidirect |
| 4. #13113331 | C2 | semidirect |
| 5. #13113231 | C2 | semidirect |
| 6. #13112737 | C2 | semidirect |
| 7. C13×#3037 | C2 | semidirect |
| 91. C2×Q8×C13 | D8 | semidirect |
| 143. #3037 | D13 | semidirect |
| 316. C2×Q8 | #6104 | semidirect |
| 367. C13 | #10242 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125751 | 2 |
| #13119835 | 2 |
| #13113505 | 2 |
| #13113331 | 2 |
| #13113231 | 2 |
| #13112737 | 2 |
| C13×#3037 | 2 |
| #10242 | 13 |