Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
126 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 126 conjugacy classes of subgroups — too many to draw. Only its 39 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. C22⋊(C23⋊C16) | C2 | semidirect |
| 3. C23×#340 | C2 | semidirect |
| 7. C2×D184 | C4 | semidirect |
| 9. #10625000 | C4 | semidirect |
| 56. #340 | D23 | semidirect |
| 70. C23 | #1347 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092653 | 2 |
| C22⋊(C23⋊C16) | 2 |
| C23×#340 | 2 |
| #1347 | 23 |