Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
1004 conjugacy classes of subgroups; only the 485 normal subgroups are shown.
This group has 1004 conjugacy classes of subgroups — too many to draw. Only its 485 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. #13093030 | C2 | direct (N × H) |
| 2. C2×#10625040 | C2 | semidirect |
| 4. C2×#10625061 | C2 | semidirect |
| 6. C2×#10625058 | C2 | semidirect |
| 8. C2×C23×#125 | C2 | semidirect |
| 11. C23×#125 | C22 | semidirect |
| 25. #10625061 | C22 | semidirect |
| 26. #10625058 | C22 | semidirect |
| 28. #10625040 | C22 | semidirect |
| 86. C2×#125 | D23 | semidirect |
| 90. C2×C23 | #541 | semidirect |
| 99. #125 | C2×D23 | semidirect |
| 114. C23 | C2×#541 | semidirect |
| 168. C2 | #13093030 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093030 | 2 |
| C2×#10625040 | 2 |
| C2×#10625069 | 2 |
| C2×#10625061 | 2 |
| C2×#10625068 | 2 |
| C2×#10625058 | 2 |
| C2×#10625043 | 2 |
| C2×C23×#125 | 2 |
| C2×#541 | 23 |