Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
348 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 117 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×#10624999 | C2 | semidirect |
| 3. C2×#10624998 | C2 | semidirect |
| 5. #13092323 | C2 | semidirect |
| 7. C2×C4×C8×C23 | C2 | semidirect |
| 18. C2×#67263 | C4 | semidirect |
| 64. C2×C4×C23 | SD16 | semidirect |
| 87. C8×C23 | C22⋊C4 | semidirect |
| 111. C2×C4×C8 | D23 | semidirect |
| 136. C23 | #1968 | semidirect |
| 192. C2×C4 | #67263 | semidirect |
| 200. C8 | (C2×D23)⋊C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#67263 | 2 |
| C2×#10624999 | 2 |
| C2×#10624998 | 2 |
| C2×#10625003 | 2 |
| #13092323 | 2 |
| #13092319 | 2 |
| C2×C4×C8×C23 | 2 |
| #1968 | 23 |