Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
394 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 394 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 |
|---|---|---|
| 2. C2×#10625118 | C2 | semidirect |
| 3. C2×#10625019 | C2 | semidirect |
| 4. #13092426 | C2 | semidirect |
| 5. C2×#10625005 | C2 | semidirect |
| 6. #13092178 | C2 | semidirect |
| 7. C2×C23×#137 | C2 | semidirect |
| 40. C2×Q8×C23 | D4 | semidirect |
| 57. M16×C23 | D4 | semidirect |
| 65. C4×Dic23 | D4 | semidirect |
| 126. C2×#137 | D23 | semidirect |
| 160. C23 | #2004 | semidirect |
| 172. C2×Q8 | C22⋊D23 | semidirect |
| 191. M16 | C22⋊D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092981 | 2 |
| C2×#10625118 | 2 |
| C2×#10625019 | 2 |
| #13092426 | 2 |
| C2×#10625005 | 2 |
| #13092178 | 2 |
| C2×C23×#137 | 2 |
| #2004 | 23 |