Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
894 conjugacy classes of subgroups; only the 272 normal subgroups are shown.
This group has 894 conjugacy classes of subgroups — too many to draw. Only its 272 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. #14544713 | C2 | semidirect |
| 67. D17 | #1840 | semidirect |
| 78. C17 | C2×#1840 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544713 | 2 |
| #14544445 | 2 |
| D17×#376 | 2 |
| C2×#1840 | 17 |