Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
622 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 622 conjugacy classes of subgroups — too many to draw. Only its 139 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 |
|---|---|---|
| 5. (C2×#3633)⋊C4 | C4 | semidirect |
| 24. C2×C4⋊#595 | C8 | semidirect |
| 30. C2×C4⋊C4×C17 | C8 | semidirect |
| 31. C2×C4⋊Dic17 | C8 | semidirect |
| 214. C2×C4⋊C4 | #3633 | semidirect |
| 222. C17 | #7025 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×(C2×#3633)⋊C4 | 2 |
| #14543961 | 2 |
| #7025 | 17 |