Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
446 conjugacy classes of subgroups; only the 106 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 106 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 |
|---|---|---|
| 1. #13131169 | C2 | semidirect |
| 3. #13130771 | C2 | semidirect |
| 4. #13129907 | C2 | semidirect |
| 12. C4×C13×Q16 | C4 | semidirect |
| 13. Q16×Dic13 | C4 | semidirect |
| 16. #11718533 | C4 | semidirect |
| 19. C4×D104 | C4 | semidirect |
| 84. C13×Q16 | C4⋊C4 | semidirect |
| 106. D104 | C4⋊C4 | semidirect |
| 159. C4×Q16 | #261 | semidirect |
| 185. C4×C13 | #360 | semidirect |
| 190. Dic13 | #360 | semidirect |
| 254. Q16 | C4⋊#261 | semidirect |
| 288. C13 | #12816 | semidirect |
| 342. C4 | #11718279 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131169 | 2 |
| C2×#11718279 | 2 |
| #13130771 | 2 |
| #13129907 | 2 |
| C4×#88173 | 2 |
| #12816 | 13 |