Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
698 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 698 conjugacy classes of subgroups — too many to draw. Only its 145 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×#10625161 | C2 | semidirect |
| 2. #13093217 | C2 | semidirect |
| 3. #13093215 | C2 | semidirect |
| 4. #13092993 | C2 | semidirect |
| 5. #13092601 | C2 | semidirect |
| 6. #13092591 | C2 | semidirect |
| 7. #13092435 | C2 | semidirect |
| 8. C2×#10625006 | C2 | semidirect |
| 9. C23×#421 | C2 | semidirect |
| 25. #10625122 | C22 | semidirect |
| 27. #10625120 | C22 | semidirect |
| 32. #10625080 | C22 | semidirect |
| 34. #10625079 | C22 | semidirect |
| 38. #10625046 | C22 | semidirect |
| 39. #10625040 | C22 | semidirect |
| 40. C23×#104 | C22 | semidirect |
| 41. #10625006 | C22 | semidirect |
| 42. #10624987 | C22 | semidirect |
| 186. #421 | D23 | semidirect |
| 226. #104 | C2×D23 | semidirect |
| 228. C23 | #3020 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625161 | 2 |
| #13093217 | 2 |
| #13093215 | 2 |
| #13092993 | 2 |
| #13092601 | 2 |
| #13092591 | 2 |
| #13092435 | 2 |
| C2×#10625006 | 2 |
| C23×#421 | 2 |
| #3020 | 23 |