Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
226 conjugacy classes of subgroups; only the 44 normal subgroups are shown.
This group has 226 conjugacy classes of subgroups — too many to draw. Only its 44 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 |
|---|---|---|
| 7. C2×C4×#1181 | C4 | semidirect |
| 11. (C2×#1181)⋊C4 | C4 | semidirect |
| 12. C29×C22⋊C8 | C4 | semidirect |
| 13. C22⋊#6597 | C4 | semidirect |
| 89. C22⋊C8 | #1181 | semidirect |
| 93. C29 | #1284 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14272106 | 2 |
| C4×C22⋊#1181 | 2 |
| #14271125 | 2 |
| #1284 | 29 |