Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
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×#18012770 | C2 | semidirect |
| 3. C2×#18012667 | C2 | semidirect |
| 4. #23752221 | C2 | semidirect |
| 5. C2×#18012656 | C2 | semidirect |
| 6. #23751972 | C2 | semidirect |
| 7. C2×#124×C151 | C2 | semidirect |
| 43. #14558988 | D4 | semidirect |
| 56. C2×Q8×C151 | D4 | semidirect |
| 68. C42×C151 | D4 | semidirect |
| 131. C151 | #2004 | semidirect |
| 135. C2×#124 | D151 | semidirect |
| 172. C2×Q8 | C22⋊D151 | semidirect |
| 200. C42 | C22⋊D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012770 | 2 |
| #23752779 | 2 |
| C2×#18012667 | 2 |
| #23752221 | 2 |
| C2×#18012656 | 2 |
| #23751972 | 2 |
| C2×#124×C151 | 2 |
| #2004 | 151 |