Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
384 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 149 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×#11745232 | C2 | semidirect |
| 2. #14271470 | C2 | semidirect |
| 3. #14271463 | C2 | semidirect |
| 4. #14271206 | C2 | semidirect |
| 5. #14271187 | C2 | semidirect |
| 117. C29 | #3080 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745232 | 2 |
| #14271470 | 2 |
| #14271463 | 2 |
| #14271206 | 2 |
| #14271187 | 2 |
| #14271164 | 2 |
| C4×#41×C29 | 2 |
| #3080 | 29 |