Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
420 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 96 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×#11718220 | C2 | semidirect |
| 3. C2×#11718219 | C2 | semidirect |
| 5. #13129901 | C2 | semidirect |
| 6. #13129901 | C2 | semidirect |
| 23. C13×C22⋊C16 | C4 | semidirect |
| 24. C22⋊#6090 | C4 | semidirect |
| 25. #11718099 | C4 | semidirect |
| 26. #11718099 | C4 | semidirect |
| 177. C22⋊C16 | #261 | semidirect |
| 189. C2×D13 | #365 | semidirect |
| 293. C13 | #12928 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D13⋊#108 | 2 |
| C2×#11718220 | 2 |
| C2×#11718219 | 2 |
| #13130712 | 2 |
| #13129901 | 2 |
| #13116445 | 2 |
| #12928 | 13 |