Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
376 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 97 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. C2×#10625007 | C2 | semidirect |
| 3. C4×C22⋊Dic23 | C2 | semidirect |
| 4. #13092178 | C2 | semidirect |
| 5. C22×M16×C23 | C2 | semidirect |
| 14. #10625101 | C4 | semidirect |
| 15. #10625101 | C4 | semidirect |
| 20. #10625095 | C4 | semidirect |
| 21. #10625095 | C4 | semidirect |
| 45. M16×C23 | D4 | semidirect |
| 104. C22×C23 | #104 | semidirect |
| 119. C22×M16 | D23 | semidirect |
| 150. C23 | #1871 | semidirect |
| 171. M16 | C22⋊D23 | semidirect |
| 232. C22 | #10625007 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092928 | 2 |
| C2×#10625007 | 2 |
| C4×C22⋊Dic23 | 2 |
| #13092178 | 2 |
| C22×M16×C23 | 2 |
| #1871 | 23 |