Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
158 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 158 conjugacy classes of subgroups — too many to draw. Only its 53 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×#15692967 | C2 | semidirect |
| 4. C4⋊(C103⋊C16) | C2 | semidirect |
| 5. #20267594 | C2 | semidirect |
| 7. C4×Q16×C103 | C2 | semidirect |
| 73. C103 | #2211 | semidirect |
| 77. C4×Q16 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15692967 | 2 |
| C2×#15692964 | 2 |
| #20268175 | 2 |
| C4⋊(C103⋊C16) | 2 |
| #20267594 | 2 |
| #20267591 | 2 |
| C4×Q16×C103 | 2 |
| #2211 | 103 |