Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
5502 conjugacy classes of subgroups; only the 2056 normal subgroups are shown.
This group has 5502 conjugacy classes of subgroups — too many to draw. Only its 2056 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×#11719059 | C2 | direct (N × H) |
| 8. C22×C42×C13 | C4 | semidirect |
| 9. C22×C4×Dic13 | C4 | semidirect |
| 10. C2×C42×D13 | C4 | semidirect |
| 12. #11719059 | C22 | direct (N × H) |
| 24. C2×C42×C13 | C2×C4 | semidirect |
| 25. C2×C4×Dic13 | C2×C4 | semidirect |
| 26. C42×D13 | C2×C4 | semidirect |
| 37. C22×C4×C13 | C4⋊C4 | semidirect |
| 39. C22×Dic13 | C4⋊C4 | semidirect |
| 41. C2×C4×D13 | C4⋊C4 | semidirect |
| 47. C42×C13 | C22×C4 | semidirect |
| 48. C4×Dic13 | C22×C4 | semidirect |
| 63. C2×C4×C13 | C2×C4⋊C4 | semidirect |
| 65. C2×Dic13 | C2×C4⋊C4 | semidirect |
| 67. C4×D13 | C2×C4⋊C4 | semidirect |
| 77. C22×C42 | #261 | semidirect |
| 79. C22×C13 | #384 | semidirect |
| 82. C2×D13 | #384 | semidirect |
| 89. C4×C13 | C22×C4⋊C4 | semidirect |
| 90. Dic13 | C22×C4⋊C4 | semidirect |
| 105. C2×C42 | C2×#261 | semidirect |
| 106. C2×C13 | C2×#384 | semidirect |
| 108. D13 | C2×#384 | semidirect |
| 126. C22×C4 | C4⋊#261 | semidirect |
| 130. C42 | C22×#261 | semidirect |
| 131. C13 | C22×#384 | semidirect |
| 148. C2×C4 | C2×C4⋊#261 | semidirect |
| 156. C22 | #11719059 | direct (N × H) |
| 161. C4 | C22×C4⋊#261 | semidirect |
| 165. C2 | C2×#11719059 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×C4⋊#261 | 2 |
| C2×#11719059 | 2 |
| C22×C42×D13 | 2 |
| C22×#384 | 13 |