Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
456 conjugacy classes of subgroups; only the 185 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 185 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×#10625072 | C2 | semidirect |
| 3. #13092540 | C2 | semidirect |
| 4. #13092535 | C2 | semidirect |
| 5. #13092466 | C2 | semidirect |
| 6. #13092435 | C2 | semidirect |
| 7. C23×#405 | C2 | semidirect |
| 13. #10625080 | C4 | semidirect |
| 14. #10625079 | C4 | semidirect |
| 18. #10625072 | C22 | semidirect |
| 19. #10625072 | C22 | semidirect |
| 22. C23×#97 | C22 | semidirect |
| 23. C4×C8×C23 | C22 | semidirect |
| 24. #10625001 | C22 | semidirect |
| 25. #10624987 | C22 | semidirect |
| 92. #405 | D23 | semidirect |
| 113. #97 | C2×D23 | semidirect |
| 114. C4×C8 | C2×D23 | semidirect |
| 115. C23 | #2955 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093217 | 2 |
| C2×#10625072 | 2 |
| #13092540 | 2 |
| #13092535 | 2 |
| #13092466 | 2 |
| #13092435 | 2 |
| C23×#405 | 2 |
| #2955 | 23 |