Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
534 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 534 conjugacy classes of subgroups — too many to draw. Only its 145 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. C2×C4⋊#63241 | C2 | semidirect |
| 2. C2×C22⋊#63241 | C2 | semidirect |
| 3. C2×C4×#63241 | C2 | semidirect |
| 30. C2×#63241 | D4 | semidirect |
| 43. C2×D4×C17 | C16 | semidirect |
| 110. C4×C17 | C22⋊C16 | semidirect |
| 157. C17 | #13189 | semidirect |
| 161. C2×D4 | #63241 | semidirect |
| 228. C4 | C22⋊#63241 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4⋊#63241 | 2 |
| C2×C22⋊#63241 | 2 |
| C2×C4×#63241 | 2 |
| C2×D4×#3624 | 2 |
| #13189 | 17 |