Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
370 conjugacy classes of subgroups; only the 160 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 160 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 |
|---|---|---|
| 94. C17 | #12899 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763730 | 2 |
| C2×C4⋊#63216 | 2 |
| #14528472 | 2 |
| #12899 | 17 |