Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
220 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 220 conjugacy classes of subgroups — too many to draw. Only its 93 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. C29×C4⋊Q8 | C4 | semidirect |
| 6. C29×C4⋊Q8 | C4 | semidirect |
| 11. C4×Q8×C29 | C4 | semidirect |
| 83. C4⋊Q8 | Dic29 | semidirect |
| 84. C4⋊Q8 | Dic29 | semidirect |
| 89. C4×Q8 | Dic29 | semidirect |
| 98. C29 | #1518 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271216 | 2 |
| #14271029 | 2 |
| #14270900 | 2 |
| C29×#533 | 2 |
| #1518 | 29 |