Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
510 conjugacy classes of subgroups; only the 147 normal subgroups are shown.
This group has 510 conjugacy classes of subgroups — too many to draw. Only its 147 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 |
|---|---|---|
| 3. C2×#11718104 | C2 | semidirect |
| 4. #13112916 | C2 | semidirect |
| 5. C13×#1375 | C2 | semidirect |
| 17. #11718099 | C4 | semidirect |
| 38. C2×C13×C16 | C2×C4 | semidirect |
| 44. C2×#6090 | C2×C4 | semidirect |
| 87. #1375 | D13 | semidirect |
| 136. C2×D13 | #347 | semidirect |
| 167. C2×C16 | C4×D13 | semidirect |
| 213. C13 | #12605 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D13×#97 | 2 |
| #13116446 | 2 |
| C2×#11718104 | 2 |
| #13112916 | 2 |
| C13×#1375 | 2 |
| #12605 | 13 |