Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
210 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 210 conjugacy classes of subgroups — too many to draw. Only its 67 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. #14271212 | C2 | semidirect |
| 2. #14271190 | C2 | semidirect |
| 5. C29×H(3,ℤ/4) | C2 | semidirect |
| 63. H(3,ℤ/4) | D29 | semidirect |
| 77. C29 | #2098 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271212 | 2 |
| #14271190 | 2 |
| #14271181 | 2 |
| #14271131 | 2 |
| C29×H(3,ℤ/4) | 2 |
| #2098 | 29 |