Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
180 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 180 conjugacy classes of subgroups — too many to draw. Only its 63 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. #13092495 | C2 | semidirect |
| 3. #13092494 | C2 | semidirect |
| 4. #13092169 | C2 | semidirect |
| 5. #13092146 | C2 | semidirect |
| 6. C8×C23⋊C8 | C2 | semidirect |
| 7. C23×D4⋊C8 | C2 | semidirect |
| 62. C23⋊C8 | M16 | semidirect |
| 63. C23⋊C8 | D8 | semidirect |
| 84. D4⋊C8 | D23 | semidirect |
| 106. C23 | #1589 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#67272 | 2 |
| #13092495 | 2 |
| #13092494 | 2 |
| #13092169 | 2 |
| #13092146 | 2 |
| C8×C23⋊C8 | 2 |
| C23×D4⋊C8 | 2 |
| #1589 | 23 |