Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
478 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 478 conjugacy classes of subgroups — too many to draw. Only its 73 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×#10625120 | C2 | semidirect |
| 2. #13092981 | C2 | semidirect |
| 3. C2×#10625045 | C2 | semidirect |
| 4. #13092423 | C2 | semidirect |
| 5. C2×#10625005 | C2 | semidirect |
| 6. #13092177 | C2 | semidirect |
| 7. C2×C23×#104 | C2 | semidirect |
| 35. C2×Q8×C23 | D4 | semidirect |
| 37. C2×D4×C23 | D4 | semidirect |
| 55. C2×D92 | D4 | semidirect |
| 60. C42×C23 | D4 | semidirect |
| 65. C4⋊Dic23 | D4 | semidirect |
| 68. #67267 | D4 | semidirect |
| 135. C2×#104 | D23 | semidirect |
| 167. C23 | #2002 | semidirect |
| 174. C2×Q8 | D92 | semidirect |
| 191. C2×D4 | D92 | semidirect |
| 208. C42 | C22⋊D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625120 | 2 |
| #13092981 | 2 |
| C2×#10625045 | 2 |
| #13092423 | 2 |
| C2×#10625005 | 2 |
| #13092177 | 2 |
| C2×C23×#104 | 2 |
| #2002 | 23 |