Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C22×#14558745 |
| Sylow | C149 ⋊ C22×M16 |
298 conjugacy classes of subgroups.
632 conjugacy classes — view the full character table.
| maximal subgroup of | #34060354, #34060357, C2×#23750505, … |
| maximal normal subgroup of | #34060354, #34060357, C2×#23750505, … |
| maximal quotient of | C22×#18011966, C2×C4×#14558745, C22×C22⋊#11924753, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1621);