Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
424 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 73 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. #13117061 | C2 | semidirect |
| 3. #13116970 | C2 | semidirect |
| 4. #13112881 | C2 | semidirect |
| 5. #13112796 | C2 | semidirect |
| 6. D4⋊#6090 | C2 | semidirect |
| 7. C13×#1673 | C2 | semidirect |
| 10. C13×#500 | C22 | semidirect |
| 18. C13×#335 | C22 | semidirect |
| 23. C4⋊#6090 | C22 | semidirect |
| 24. C4×#6090 | C22 | semidirect |
| 90. D104 | SD16 | semidirect |
| 96. #1673 | D13 | semidirect |
| 136. #500 | C2×D13 | semidirect |
| 149. #335 | C2×D13 | semidirect |
| 243. C13 | #12368 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D4×D104 | 2 |
| #13117061 | 2 |
| #13116970 | 2 |
| #13112881 | 2 |
| #13112796 | 2 |
| D4⋊#6090 | 2 |
| C13×#1673 | 2 |
| #12368 | 13 |