Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
324 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 67 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×#11718113 | C2 | semidirect |
| 3. #13113013 | C2 | semidirect |
| 4. C22⋊#88034 | C2 | semidirect |
| 5. C13×#2216 | C2 | semidirect |
| 7. C2×C13×Q32 | C22 | semidirect |
| 13. C13×#366 | C22 | semidirect |
| 16. C2×#88034 | C22 | semidirect |
| 59. #2216 | D13 | semidirect |
| 82. C2×Q32 | C2×D13 | semidirect |
| 90. #366 | C2×D13 | semidirect |
| 94. C22×C13 | SD64 | semidirect |
| 149. C13 | #13664 | semidirect |
| 175. C22 | #11718113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D208 | 2 |
| C2×#11718113 | 2 |
| #13113013 | 2 |
| C22⋊#88034 | 2 |
| C13×#2216 | 2 |
| #13664 | 13 |