Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
930 conjugacy classes of subgroups; only the 235 normal subgroups are shown.
This group has 930 conjugacy classes of subgroups — too many to draw. Only its 235 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. C22×#88040 | C2 | semidirect |
| 2. C22×D208 | C2 | semidirect |
| 3. C2×#11718357 | C2 | semidirect |
| 4. C2×#11718356 | C2 | semidirect |
| 5. #13117102 | C2 | direct (N × H) |
| 6. C2×C13×#346 | C2 | semidirect |
| 17. C2×#88040 | C22 | semidirect |
| 19. C2×D208 | C22 | semidirect |
| 21. #11718357 | C22 | semidirect |
| 23. #11718356 | C22 | semidirect |
| 24. C13×#346 | C22 | semidirect |
| 51. C2×C13×C16 | D4 | semidirect |
| 94. C13×C16 | C2×D4 | semidirect |
| 100. C2×#346 | D13 | semidirect |
| 146. #346 | C2×D13 | semidirect |
| 189. C2×C16 | D52 | semidirect |
| 193. C2×C13 | #2250 | semidirect |
| 234. C16 | C2×D52 | semidirect |
| 235. C13 | C2×#2250 | semidirect |
| 280. C2 | #13117102 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88040 | 2 |
| C22×D208 | 2 |
| C2×#11718357 | 2 |
| C2×#11718356 | 2 |
| #13117102 | 2 |
| C2×C13×#346 | 2 |
| C2×#2250 | 13 |