Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
394 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 394 conjugacy classes of subgroups — too many to draw. Only its 75 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×#16813653 | C2 | semidirect |
| 3. C2×#16813550 | C2 | semidirect |
| 4. #20298607 | C2 | semidirect |
| 5. C2×#16813539 | C2 | semidirect |
| 6. #20298358 | C2 | semidirect |
| 7. C2×#124×C113 | C2 | semidirect |
| 43. #14268631 | D4 | semidirect |
| 56. C2×Q8×C113 | D4 | semidirect |
| 68. C42×C113 | D4 | semidirect |
| 132. C113 | #2004 | semidirect |
| 135. C2×#124 | D113 | semidirect |
| 172. C2×Q8 | C22⋊D113 | semidirect |
| 200. C42 | C22⋊D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813653 | 2 |
| #20299165 | 2 |
| C2×#16813550 | 2 |
| #20298607 | 2 |
| C2×#16813539 | 2 |
| #20298358 | 2 |
| C2×#124×C113 | 2 |
| #2004 | 113 |