Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
164 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 164 conjugacy classes of subgroups — too many to draw. Only its 57 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. C2×#10624982 | C2 | semidirect |
| 2. #13092658 | C2 | semidirect |
| 4. #13092245 | C2 | semidirect |
| 5. #13092222 | C2 | semidirect |
| 6. #13092219 | C2 | semidirect |
| 7. C22×C16×C23 | C2 | semidirect |
| 39. C16×C23 | D4 | semidirect |
| 60. C22×C23 | SD32 | semidirect |
| 72. C22×C16 | D23 | semidirect |
| 96. C23 | #2217 | semidirect |
| 115. C16 | C22⋊D23 | semidirect |
| 138. C22 | #10624982 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10624982 | 2 |
| #13092658 | 2 |
| #13092653 | 2 |
| #13092245 | 2 |
| #13092222 | 2 |
| #13092219 | 2 |
| C22×C16×C23 | 2 |
| #2217 | 23 |