Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C22×#14558746 |
| Sylow | C149 ⋊ C22×M16 |
298 conjugacy classes of subgroups.
632 conjugacy classes — view the full character table.
| maximal subgroup of | #34060355, #34060358, C2×#23750495, … |
| maximal normal subgroup of | #34060355, #34060358, C2×#23750495, … |
| maximal quotient of | C22×#18011966, C2×C4×#14558746, C22×#18011968, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1623);