Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
408 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 121 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. C22×#67267 | C2 | semidirect |
| 2. C2×C22⋊(C23⋊C8) | C2 | semidirect |
| 3. C2×C22⋊(C23⋊C8) | C2 | semidirect |
| 4. #13092172 | C2 | semidirect |
| 50. C2×C23⋊C8 | D4 | semidirect |
| 60. C23×C23 | M16 | semidirect |
| 77. C2×C4×C23 | M16 | semidirect |
| 134. C23 | #1870 | semidirect |
| 173. C23 | #67267 | semidirect |
| 190. C2×C4 | #67267 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#67267 | 2 |
| C2×C22⋊(C23⋊C8) | 2 |
| #13092172 | 2 |
| C2×C4×D4×C23 | 2 |
| #1870 | 23 |