Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
532 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 97 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. #13127970 | C2 | semidirect |
| 2. #13124498 | C2 | semidirect |
| 3. C2×#11718158 | C2 | semidirect |
| 4. #13116563 | C2 | semidirect |
| 5. #13116464 | C2 | semidirect |
| 6. #13112936 | C2 | semidirect |
| 7. C13×#3067 | C2 | semidirect |
| 45. C2×C13×Q16 | D4 | semidirect |
| 47. C2×C13×D8 | D4 | semidirect |
| 71. C13×#108 | D4 | semidirect |
| 87. C2×#6090 | D4 | semidirect |
| 156. #3067 | D13 | semidirect |
| 269. C2×Q16 | C22⋊D13 | semidirect |
| 273. C2×D8 | C22⋊D13 | semidirect |
| 300. #108 | C22⋊D13 | semidirect |
| 380. C13 | #13318 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127970 | 2 |
| #13124498 | 2 |
| C2×#11718158 | 2 |
| #13116563 | 2 |
| #13116464 | 2 |
| #13112936 | 2 |
| C13×#3067 | 2 |
| #13318 | 13 |