Finite Group DatabasebetaFinite Group DatabasebetaOrder 576.
177 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 177 conjugacy classes of subgroups — too many to draw. Only its 45 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 |
|---|---|---|
| 98. C32 | #398 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4⋊#157 | 2 |
| C2×#3777 | 2 |
| #63781 | 2 |
| #63747 | 2 |
| #398 | 9 |