Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
486 conjugacy classes of subgroups; only the 148 normal subgroups are shown.
This group has 486 conjugacy classes of subgroups — too many to draw. Only its 148 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×#11718216 | C2 | semidirect |
| 4. (C2×#261)⋊C16 | C2 | semidirect |
| 9. C22×#6092 | C4 | semidirect |
| 12. C2×D13⋊C16 | C4 | semidirect |
| 18. C13×C22⋊C16 | C4 | semidirect |
| 19. C22⋊#6090 | C4 | semidirect |
| 20. #11718099 | C4 | semidirect |
| 79. #6092 | C22⋊C4 | semidirect |
| 127. C22⋊C16 | #261 | semidirect |
| 132. C22×C13 | #346 | semidirect |
| 137. C2×D13 | #346 | semidirect |
| 213. C13 | #12611 | semidirect |
| 251. C22 | #11718216 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D13⋊C16 | 2 |
| C2×#11718216 | 2 |
| C8×C22⋊#261 | 2 |
| (C2×#261)⋊C16 | 2 |
| D13×C22⋊C16 | 2 |
| #12611 | 13 |