Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
384 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 3. #13092787 | C2 | semidirect |
| 4. #13092786 | C2 | semidirect |
| 5. #13092785 | C2 | semidirect |
| 6. #13092784 | C2 | semidirect |
| 9. C23×#491 | C2 | semidirect |
| 91. #491 | D23 | direct (N × H) |
| 96. D23 | #491 | direct (N × H) |
| 118. C23 | C2×#491 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4⋊Q8×D23 | 2 |
| #125×D23 | 2 |
| #13092787 | 2 |
| #13092786 | 2 |
| #13092785 | 2 |
| #13092784 | 2 |
| #103×D23 | 2 |
| #97×D23 | 2 |
| C23×#491 | 2 |
| C2×#491 | 23 |