Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
528 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 528 conjugacy classes of subgroups — too many to draw. Only its 113 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×#11718521 | C2 | semidirect |
| 3. C2×#11718110 | C2 | semidirect |
| 4. C2×#11718080 | C2 | semidirect |
| 5. #13116446 | C2 | semidirect |
| 6. #13112941 | C2 | semidirect |
| 7. C13×#1386 | C2 | semidirect |
| 19. #11718548 | C4 | semidirect |
| 20. #11718544 | C4 | semidirect |
| 62. C13×#106 | D4 | semidirect |
| 64. #88057 | D4 | semidirect |
| 131. #1386 | D13 | semidirect |
| 251. #106 | D52 | semidirect |
| 313. C13 | #13002 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124418 | 2 |
| C2×#11718521 | 2 |
| C2×#11718110 | 2 |
| C2×#11718080 | 2 |
| #13116446 | 2 |
| #13112941 | 2 |
| C13×#1386 | 2 |
| #13002 | 13 |