Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
512 conjugacy classes of subgroups; only the 309 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 309 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. #13092455 | C2 | direct (N × H) |
| 3. C2×#10625000 | C2 | semidirect |
| 4. C2×#10624999 | C2 | semidirect |
| 7. C22×C8×C23 | C4 | semidirect |
| 16. #10625000 | C22 | semidirect |
| 17. #10624999 | C22 | semidirect |
| 28. C2×C8×C23 | C2×C4 | semidirect |
| 70. C2×C23 | #427 | semidirect |
| 74. C22×C8 | Dic23 | semidirect |
| 85. C23 | C2×#427 | semidirect |
| 96. C2×C8 | C2×Dic23 | semidirect |
| 132. C2 | #13092455 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625097 | 2 |
| #13092455 | 2 |
| C2×#10625000 | 2 |
| C2×#10624999 | 2 |
| C23×C8×C23 | 2 |
| C2×#427 | 23 |