Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
454 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 109 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. D13×C22⋊C16 | C2 | semidirect |
| 3. #13112775 | C2 | semidirect |
| 4. #13112760 | C2 | semidirect |
| 5. C13×#1314 | C2 | semidirect |
| 57. C2×C22⋊D13 | C16 | semidirect |
| 89. #1314 | D13 | semidirect |
| 94. C23×C13 | C2×C16 | semidirect |
| 117. C2×Dic13 | C2×C16 | semidirect |
| 233. C13 | #11465 | semidirect |
| 243. C23 | C16×D13 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718386 | 2 |
| D13×C22⋊C16 | 2 |
| #13112775 | 2 |
| #13112760 | 2 |
| C13×#1314 | 2 |
| #11465 | 13 |