Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
3798 conjugacy classes of subgroups; only the 1179 normal subgroups are shown.
This group has 3798 conjugacy classes of subgroups — too many to draw. Only its 1179 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. #13118013 | C2 | direct (N × H) |
| 2. C2×#11718881 | C2 | semidirect |
| 3. C2×#11718598 | C2 | semidirect |
| 7. C2×C13×#127 | C4 | semidirect |
| 11. #11718881 | C22 | semidirect |
| 13. #11718598 | C22 | semidirect |
| 17. C22×D4×C13 | C2×C4 | semidirect |
| 23. C13×#127 | C2×C4 | semidirect |
| 24. C2×C42×C13 | C2×C4 | semidirect |
| 38. C2×D4×C13 | C22×C4 | semidirect |
| 46. C42×C13 | C22×C4 | semidirect |
| 70. C2×#127 | Dic13 | semidirect |
| 90. C22×D4 | C2×Dic13 | semidirect |
| 96. #127 | C2×Dic13 | semidirect |
| 99. C2×C42 | C2×Dic13 | semidirect |
| 103. C2×C13 | #2380 | semidirect |
| 114. C2×D4 | C22×Dic13 | semidirect |
| 123. C42 | C22×Dic13 | semidirect |
| 124. C13 | C2×#2380 | semidirect |
| 152. C2 | #13118013 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13118013 | 2 |
| C2×#11718881 | 2 |
| C2×#11718598 | 2 |
| C22×C13×#127 | 2 |
| C2×#2380 | 13 |