Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
192 conjugacy classes of subgroups; only the 40 normal subgroups are shown.
This group has 192 conjugacy classes of subgroups — too many to draw. Only its 40 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⋊#6862 | C2 | direct (N × H) |
| 108. C23 | #6862 | semidirect |
| 123. C22 | C2×#6862 | semidirect |
| 130. C2 | C22⋊#6862 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22⋊#6862 | 2 |
| C23×C32⋊C9 | 3 |
| C2×C32⋊(C22⋊C9) | 3 |
| C2×#6862 | 4 |