Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
500 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 149 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. C2×#10625075 | C2 | semidirect |
| 2. #13092928 | C2 | semidirect |
| 3. #13092675 | C2 | semidirect |
| 4. #13092670 | C2 | semidirect |
| 5. #13092663 | C2 | semidirect |
| 6. #13092455 | C2 | semidirect |
| 7. #13092414 | C2 | semidirect |
| 8. C22×M16×C23 | C2 | semidirect |
| 22. C2×Dic92 | C22 | semidirect |
| 24. C2×D184 | C22 | semidirect |
| 25. C2×#67263 | C22 | semidirect |
| 26. #10625003 | C22 | semidirect |
| 27. #10625000 | C22 | semidirect |
| 28. #10624999 | C22 | semidirect |
| 29. #10624998 | C22 | semidirect |
| 47. C2×C8×C23 | D4 | semidirect |
| 102. C22×M16 | D23 | semidirect |
| 135. C23 | #3054 | semidirect |
| 156. C2×C8 | C22⋊D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625075 | 2 |
| #13092928 | 2 |
| #13092675 | 2 |
| #13092670 | 2 |
| #13092663 | 2 |
| #13092455 | 2 |
| #13092414 | 2 |
| C22×M16×C23 | 2 |
| #3054 | 23 |