Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C24 |
| direct product | C2×#18011823 |
| Fitting | C22×C8×C149 ⋊ C2 |
| Sylow | C149 ⋊ C2×C22⋊C8 |
202 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 202 conjugacy classes of subgroups — too many to draw. Only its 87 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
2408 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34042614, #34044448, C4×#18011823, … |
| maximal normal subgroup of | #34042614, #34044448, C4×#18011823, … |
| maximal quotient of | C2×#23749348, C2×#23749350, #34043003, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 509);