Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
402 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 89 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×#10625003 | C2 | semidirect |
| 3. C2×#10625014 | C2 | semidirect |
| 4. C2×#10624991 | C2 | semidirect |
| 5. #13092316 | C2 | semidirect |
| 6. #13092171 | C2 | semidirect |
| 7. C2×C23×#102 | C2 | semidirect |
| 54. C4⋊C4×C23 | D4 | semidirect |
| 142. C2×#102 | D23 | semidirect |
| 171. C23 | #2041 | semidirect |
| 207. C4⋊C4 | C22⋊D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625111 | 2 |
| C2×#10625003 | 2 |
| C2×#10625014 | 2 |
| C2×#10624991 | 2 |
| #13092316 | 2 |
| #13092171 | 2 |
| C2×C23×#102 | 2 |
| #2041 | 23 |