Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
572 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 572 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×D13×#106 | C2 | semidirect |
| 3. C2×#11718158 | C2 | semidirect |
| 4. #13116446 | C2 | semidirect |
| 5. #13112943 | C2 | semidirect |
| 6. #13112942 | C2 | semidirect |
| 7. C2×C13×#360 | C2 | semidirect |
| 15. #11718849 | C4 | semidirect |
| 17. #11718818 | C4 | semidirect |
| 34. C2×C13×Q16 | C2×C4 | semidirect |
| 36. C2×C13×D8 | C2×C4 | semidirect |
| 60. C13×#106 | D4 | semidirect |
| 63. #88058 | C2×C4 | semidirect |
| 66. #88057 | D4 | semidirect |
| 129. C2×#360 | D13 | semidirect |
| 202. C2×D13 | #360 | semidirect |
| 219. C2×Q16 | C4×D13 | semidirect |
| 221. C2×D8 | C4×D13 | semidirect |
| 253. #106 | C22⋊D13 | semidirect |
| 316. C13 | #13001 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124413 | 2 |
| C2×D13×#106 | 2 |
| C2×#11718158 | 2 |
| #13116446 | 2 |
| #13112943 | 2 |
| #13112942 | 2 |
| C2×C13×#360 | 2 |
| #13001 | 13 |