Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
552 conjugacy classes of subgroups; only the 221 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 221 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×C4×Dic46 | C2 | semidirect |
| 4. C4×#67263 | C2 | direct (N × H) |
| 5. C2×#10624999 | C2 | semidirect |
| 6. C2×#10624998 | C2 | semidirect |
| 8. C2×C4×C8×C23 | C2 | semidirect |
| 20. C2×#67263 | C4 | direct (N × H) |
| 25. C4×Dic46 | C22 | semidirect |
| 26. C4×C8×C23 | C22 | semidirect |
| 28. #10624999 | C22 | semidirect |
| 29. #10624998 | C22 | semidirect |
| 45. C2×Dic46 | C2×C4 | semidirect |
| 48. C2×C8×C23 | C2×C4 | semidirect |
| 60. #67263 | C2×C4 | direct (N × H) |
| 67. C2×C4×C23 | SD16 | semidirect |
| 86. Dic46 | C22×C4 | semidirect |
| 88. C8×C23 | C22×C4 | semidirect |
| 100. C4×C23 | C2×SD16 | semidirect |
| 113. C2×C4×C8 | D23 | semidirect |
| 114. C2×C23 | C4×SD16 | semidirect |
| 139. C4×C8 | C2×D23 | semidirect |
| 140. C23 | C2×C4×SD16 | semidirect |
| 160. C2×C8 | C4×D23 | semidirect |
| 191. C2×C4 | #67263 | direct (N × H) |
| 199. C8 | C2×C4×D23 | semidirect |
| 213. C4 | C2×#67263 | direct (N × H) |
| 217. C2 | C4×#67263 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#67263 | 2 |
| C2×C4×Dic46 | 2 |
| C2×C4×D92 | 2 |
| C4×#67263 | 2 |
| C2×#10624999 | 2 |
| C2×#10624998 | 2 |
| C2×#10625003 | 2 |
| C2×C4×C8×C23 | 2 |
| C2×C4×SD16 | 23 |