Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
384 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 141 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. #13092784 | C2 | direct (N × H) |
| 105. C2×C23 | #491 | semidirect |
| 129. C23 | C2×#491 | semidirect |
| 197. C2 | #13092784 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625115 | 2 |
| C2×#10625061 | 2 |
| #13092784 | 2 |
| C2×#10624998 | 2 |
| C2×#10625017 | 2 |
| C2×#10624992 | 2 |
| C2×#10624997 | 2 |
| C2×C23×#103 | 2 |
| C2×#491 | 23 |