Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
492 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 157 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×Dic92 | C2 | semidirect |
| 4. #13092676 | C2 | direct (N × H) |
| 5. C2×#10624992 | C2 | semidirect |
| 6. C2×C23×#106 | C2 | semidirect |
| 15. C2×Dic92 | C22 | semidirect |
| 20. C23×#106 | C22 | semidirect |
| 21. #10624992 | C22 | semidirect |
| 84. C2×#106 | D23 | semidirect |
| 86. C2×C23 | #470 | semidirect |
| 103. #106 | C2×D23 | semidirect |
| 105. C23 | C2×#470 | semidirect |
| 164. C2 | #13092676 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×Dic92 | 2 |
| C22×#67262 | 2 |
| C2×#10625068 | 2 |
| #13092676 | 2 |
| C2×#10624992 | 2 |
| C2×C23×#106 | 2 |
| C2×#470 | 23 |