Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
370 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 75 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×#10625113 | C2 | semidirect |
| 3. C2×#10625019 | C2 | semidirect |
| 4. C2×#10625007 | C2 | semidirect |
| 5. #13092324 | C2 | semidirect |
| 6. #13092185 | C2 | semidirect |
| 7. C2×C23×#137 | C2 | semidirect |
| 41. C2×Q8×C23 | D4 | semidirect |
| 61. M16×C23 | D4 | semidirect |
| 73. #67267 | D4 | semidirect |
| 139. C2×#137 | D23 | semidirect |
| 175. C23 | #2007 | semidirect |
| 191. C2×Q8 | C22⋊D23 | semidirect |
| 210. M16 | C22⋊D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625113 | 2 |
| #13092995 | 2 |
| C2×#10625019 | 2 |
| C2×#10625007 | 2 |
| #13092324 | 2 |
| #13092185 | 2 |
| C2×C23×#137 | 2 |
| #2007 | 23 |