Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
532 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 99 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. C2×#11718853 | C2 | semidirect |
| 3. C2×#11718159 | C2 | semidirect |
| 4. C2×#11718156 | C2 | semidirect |
| 5. C2×#11718107 | C2 | semidirect |
| 6. #13112945 | C2 | semidirect |
| 7. C2×C13×#510 | C2 | semidirect |
| 44. C2×C13×Q16 | D4 | semidirect |
| 69. C13×M32 | D4 | semidirect |
| 75. #88059 | D4 | semidirect |
| 143. C2×#510 | D13 | semidirect |
| 251. C2×Q16 | C22⋊D13 | semidirect |
| 273. M32 | C22⋊D13 | semidirect |
| 353. C13 | #13308 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718853 | 2 |
| #13124502 | 2 |
| C2×#11718159 | 2 |
| C2×#11718156 | 2 |
| C2×#11718107 | 2 |
| #13112945 | 2 |
| C2×C13×#510 | 2 |
| #13308 | 13 |