Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
406 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 406 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×#10625103 | C2 | semidirect |
| 2. #13092995 | C2 | semidirect |
| 3. C2×#10625019 | C2 | semidirect |
| 4. C2×#10625007 | C2 | semidirect |
| 5. #13092320 | C2 | semidirect |
| 6. #13092185 | C2 | semidirect |
| 7. C2×C23×AGL(1,ℤ/8) | C2 | semidirect |
| 44. C2×D4×C23 | D4 | semidirect |
| 61. M16×C23 | D4 | semidirect |
| 74. #67267 | D4 | semidirect |
| 146. C2×AGL(1,ℤ/8) | D23 | semidirect |
| 183. C23 | #2006 | semidirect |
| 205. C2×D4 | C22⋊D23 | semidirect |
| 218. M16 | C22⋊D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625103 | 2 |
| #13092995 | 2 |
| C2×#10625019 | 2 |
| C2×#10625007 | 2 |
| #13092320 | 2 |
| #13092185 | 2 |
| C2×C23×AGL(1,ℤ/8) | 2 |
| #2006 | 23 |