Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
442 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 87 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×C42×D23 | C2 | semidirect |
| 3. C2×#10625019 | C2 | semidirect |
| 4. #13092380 | C2 | semidirect |
| 5. #13092178 | C2 | semidirect |
| 6. #13092177 | C2 | semidirect |
| 7. C2×C23×#104 | C2 | semidirect |
| 13. #10625117 | C4 | semidirect |
| 14. #10625109 | C4 | semidirect |
| 32. C2×Q8×C23 | C2×C4 | semidirect |
| 34. C2×D4×C23 | C2×C4 | semidirect |
| 53. C42×C23 | D4 | semidirect |
| 57. C4⋊Dic23 | C2×C4 | semidirect |
| 62. C4×Dic23 | D4 | semidirect |
| 114. C2×D23 | #104 | semidirect |
| 127. C2×#104 | D23 | semidirect |
| 156. C23 | #1896 | semidirect |
| 162. C2×Q8 | C4×D23 | semidirect |
| 165. C2×D4 | C4×D23 | semidirect |
| 195. C42 | C22⋊D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092924 | 2 |
| C2×C42×D23 | 2 |
| C2×#10625019 | 2 |
| #13092380 | 2 |
| #13092178 | 2 |
| #13092177 | 2 |
| C2×C23×#104 | 2 |
| #1896 | 23 |