Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
400 conjugacy classes of subgroups; only the 161 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 161 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 |
|---|---|---|
| 127. C29 | #2402 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271105 | 2 |
| #14271102 | 2 |
| #14271096 | 2 |
| #14271095 | 2 |
| C4×#90779 | 2 |
| C4×C4⋊Dic29 | 2 |
| #14271009 | 2 |
| C4×C4⋊C4×C29 | 2 |
| #2402 | 29 |