Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
360 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 133 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×#67267 | C2 | semidirect |
| 3. C42×Dic23 | C2 | semidirect |
| 4. #13092176 | C2 | semidirect |
| 7. C4×Q8×C23 | C4 | semidirect |
| 9. C4×D4×C23 | C4 | semidirect |
| 17. #10625019 | C4 | direct (N × H) |
| 41. C4×Dic23 | C2×C4 | semidirect |
| 43. #67267 | C2×C4 | semidirect |
| 48. Q8×C23 | C42 | semidirect |
| 51. D4×C23 | C42 | semidirect |
| 75. C4×C23 | #104 | semidirect |
| 91. C4×Q8 | Dic23 | semidirect |
| 93. C4×D4 | Dic23 | semidirect |
| 103. C23 | C4×#104 | semidirect |
| 132. Q8 | C4×Dic23 | semidirect |
| 135. D4 | C4×Dic23 | semidirect |
| 159. C4 | #10625019 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625019 | 2 |
| C4×#67267 | 2 |
| C42×Dic23 | 2 |
| #13092176 | 2 |
| C4×#41×C23 | 2 |
| C4×#104 | 23 |