Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
408 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 86 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×#11718219 | C2 | semidirect |
| 4. #13130941 | C2 | semidirect |
| 5. #13129910 | C2 | semidirect |
| 6. #13129876 | C2 | semidirect |
| 23. C13×#358 | C4 | semidirect |
| 24. #11718156 | C4 | semidirect |
| 25. #11718101 | C4 | semidirect |
| 26. #11718083 | C4 | semidirect |
| 91. C13×Q16 | C4⋊C4 | semidirect |
| 100. D104 | C4⋊C4 | semidirect |
| 163. #358 | #261 | semidirect |
| 240. Q16 | C4⋊#261 | semidirect |
| 270. C13 | #12955 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719112 | 2 |
| C2×#11718219 | 2 |
| C2×#11718279 | 2 |
| #13130941 | 2 |
| #13129910 | 2 |
| #13129876 | 2 |
| #13116547 | 2 |
| #12955 | 13 |