Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
390 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 101 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. C22×#67267 | C2 | semidirect |
| 2. C2×#10625015 | C2 | semidirect |
| 3. #13092381 | C2 | semidirect |
| 4. #13092186 | C2 | semidirect |
| 49. #67267 | D4 | semidirect |
| 98. C22×C23 | #100 | semidirect |
| 136. C23 | #1900 | semidirect |
| 211. C22 | #10625015 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#67267 | 2 |
| C2×#10625015 | 2 |
| #13092381 | 2 |
| #13092186 | 2 |
| C2×C23×#121 | 2 |
| #1900 | 23 |