Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
520 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 157 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. #13092658 | C2 | semidirect |
| 4. #13092653 | C2 | semidirect |
| 5. #13092646 | C2 | semidirect |
| 6. #13092455 | C2 | semidirect |
| 7. #13092414 | C2 | semidirect |
| 8. C23×C8×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 |
| 92. C22×C23 | #135 | semidirect |
| 103. C23×C8 | D23 | semidirect |
| 136. C23 | #3050 | semidirect |
| 157. C2×C8 | C22⋊D23 | semidirect |
| 199. C22 | #10625075 | 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 |
| #13092658 | 2 |
| #13092653 | 2 |
| #13092646 | 2 |
| #13092455 | 2 |
| #13092414 | 2 |
| C23×C8×C23 | 2 |
| #3050 | 23 |