Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
458 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 117 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. C2×#11718105 | C2 | semidirect |
| 3. C2×#11718079 | C2 | semidirect |
| 6. #13112936 | C2 | semidirect |
| 7. C13×#1383 | C2 | semidirect |
| 22. #11718099 | C4 | semidirect |
| 43. C2×C13×C16 | C2×C4 | semidirect |
| 55. C2×#6090 | C2×C4 | semidirect |
| 103. #1383 | D13 | semidirect |
| 158. C2×D13 | #365 | semidirect |
| 188. C2×C16 | C4×D13 | semidirect |
| 243. C13 | #12929 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D13×#106 | 2 |
| C2×#11718105 | 2 |
| C2×#11718079 | 2 |
| #13116446 | 2 |
| #13114871 | 2 |
| #13112936 | 2 |
| C13×#1383 | 2 |
| #12929 | 13 |