Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
43678 conjugacy classes of subgroups; only the 10859 normal subgroups are shown.
This group has 43678 conjugacy classes of subgroups — too many to draw. Only its 10859 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. C25×Dic13 | C2 | semidirect |
| 3. C23×#6103 | C2 | direct (N × H) |
| 4. C25×C4×C13 | C2 | semidirect |
| 8. C25×D13 | C4 | semidirect |
| 11. C24×C4×C13 | C22 | semidirect |
| 13. C24×Dic13 | C22 | semidirect |
| 14. C22×#6103 | C22 | direct (N × H) |
| 22. C24×D13 | C2×C4 | semidirect |
| 25. C23×C4×C13 | C23 | semidirect |
| 27. C23×Dic13 | C23 | semidirect |
| 28. C2×#6103 | C23 | direct (N × H) |
| 30. C24×C13 | C22⋊C4 | semidirect |
| 38. C23×D13 | C22×C4 | semidirect |
| 41. C22×C4×C13 | C24 | semidirect |
| 43. C22×Dic13 | C24 | semidirect |
| 44. #6103 | C24 | direct (N × H) |
| 47. C25×C4 | D13 | semidirect |
| 49. C23×C13 | C2×C22⋊C4 | semidirect |
| 57. C22×D13 | C23×C4 | semidirect |
| 60. C2×C4×C13 | C25 | semidirect |
| 62. C2×Dic13 | C25 | semidirect |
| 71. C24×C4 | C2×D13 | semidirect |
| 73. C22×C13 | C22×C22⋊C4 | semidirect |
| 81. C2×D13 | C24×C4 | semidirect |
| 96. C23×C4 | C22×D13 | semidirect |
| 98. C2×C13 | C23×C22⋊C4 | semidirect |
| 108. C24 | #6103 | direct (N × H) |
| 116. C22×C4 | C23×D13 | semidirect |
| 118. C13 | C24×C22⋊C4 | semidirect |
| 124. C23 | C2×#6103 | direct (N × H) |
| 132. C2×C4 | C24×D13 | semidirect |
| 137. C22 | C22×#6103 | direct (N × H) |
| 145. C2 | C23×#6103 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C26×D13 | 2 |
| C25×Dic13 | 2 |
| C23×#6103 | 2 |
| C25×C4×C13 | 2 |
| C24×C22⋊C4 | 13 |