Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#18011835 |
| Sylow | C149 ⋊ C2×#103 |
162 conjugacy classes of subgroups.
1508 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#18011835, #103×Dic149, #34044521, … |
| maximal normal subgroup of | C4×#18011835, #103×Dic149, #34044521, … |
| maximal quotient of | C2×Q8⋊#11924746, #34043094, #34043120, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 540);