Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
164 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 164 conjugacy classes of subgroups — too many to draw. Only its 51 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×C16×D113 | C2 | semidirect |
| 2. #20298836 | C2 | semidirect |
| 4. #20298426 | C2 | semidirect |
| 5. #20298402 | C2 | semidirect |
| 6. #20298399 | C2 | semidirect |
| 7. C2×SD32×C113 | C2 | semidirect |
| 39. C16×C113 | D4 | semidirect |
| 63. C2×D113 | SD32 | semidirect |
| 76. C113 | #2217 | semidirect |
| 77. C2×SD32 | D113 | semidirect |
| 115. C16 | C22⋊D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C16×D113 | 2 |
| #20298836 | 2 |
| #20298831 | 2 |
| #20298426 | 2 |
| #20298402 | 2 |
| #20298399 | 2 |
| C2×SD32×C113 | 2 |
| #2217 | 113 |