Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
380 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 145 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 |
|---|---|---|
| 3. #20299006 | C2 | semidirect |
| 4. #20299001 | C2 | semidirect |
| 5. #20298996 | C2 | semidirect |
| 6. #20298994 | C2 | semidirect |
| 9. #500×C113 | C2 | semidirect |
| 43. #14268630 | Q8 | semidirect |
| 86. C8×C113 | C2×Q8 | semidirect |
| 87. #11744751 | C2×Q8 | semidirect |
| 107. C113 | #3165 | semidirect |
| 112. #500 | D113 | semidirect |
| 194. C8 | Q8×D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299153 | 2 |
| C4⋊Q8×D113 | 2 |
| #20299006 | 2 |
| #20299001 | 2 |
| #20298996 | 2 |
| #20298994 | 2 |
| #20298639 | 2 |
| C4×#14268630 | 2 |
| #500×C113 | 2 |
| #3165 | 113 |