Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
270 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 270 conjugacy classes of subgroups — too many to draw. Only its 73 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. #13092391 | C2 | semidirect |
| 2. #13092210 | C2 | semidirect |
| 5. C22×D4×C23 | C4 | semidirect |
| 7. C23×#124 | C4 | semidirect |
| 10. C23×#117 | C4 | semidirect |
| 13. #10625016 | C22 | semidirect |
| 74. C22×D4 | Dic23 | semidirect |
| 76. #124 | Dic23 | semidirect |
| 80. #117 | Dic23 | semidirect |
| 83. C23 | #2128 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092391 | 2 |
| #13092210 | 2 |
| C23×#535 | 2 |
| #2128 | 23 |