Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
374 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 374 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 2. C2×#10597292 | C2 | semidirect |
| 5. #11926306 | C2 | semidirect |
| 6. #11926299 | C2 | semidirect |
| 7. C2×C4×Q8×C19 | C2 | semidirect |
| 18. C2×#64527 | C4 | semidirect |
| 73. Q8×C19 | C22⋊C4 | semidirect |
| 85. C2×C4×C19 | SD16 | semidirect |
| 126. C2×C4×Q8 | D19 | semidirect |
| 158. C19 | #1880 | semidirect |
| 206. Q8 | (C2×D19)⋊C4 | semidirect |
| 225. C2×C4 | #64527 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#64527 | 2 |
| C2×#10597292 | 2 |
| C2×#10597266 | 2 |
| #11926446 | 2 |
| #11926306 | 2 |
| #11926299 | 2 |
| C2×C4×Q8×C19 | 2 |
| #1880 | 19 |