Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
332 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 79 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. C4×#67288 | C2 | semidirect |
| 3. #13092433 | C2 | semidirect |
| 4. #13092391 | C2 | semidirect |
| 5. #13092188 | C2 | semidirect |
| 6. #13092177 | C2 | semidirect |
| 7. C2×C23×#104 | C2 | semidirect |
| 15. #10625113 | C4 | semidirect |
| 16. #10625103 | C4 | semidirect |
| 33. C2×Q8×C23 | C2×C4 | semidirect |
| 35. C2×D4×C23 | C2×C4 | semidirect |
| 68. #67267 | C2×C4 | semidirect |
| 127. C2×#104 | D23 | semidirect |
| 158. C23 | #1906 | semidirect |
| 168. C2×Q8 | C4×D23 | semidirect |
| 172. C2×D4 | C4×D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093215 | 2 |
| C4×#67288 | 2 |
| #13092433 | 2 |
| #13092391 | 2 |
| #13092188 | 2 |
| #13092177 | 2 |
| C2×C23×#104 | 2 |
| #1906 | 23 |