Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#18011972 |
| Sylow | C149 ⋊ C2×#101 |
146 conjugacy classes of subgroups.
614 conjugacy classes — view the full character table.
| maximal subgroup of | #34059788, #34059789, C4×#18011972, … |
| maximal normal subgroup of | #34059788, #34059789, C4×#18011972, … |
| maximal quotient of | C2×#23750470, C2×#23750471, #34059933, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1533);