Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C24 |
| direct product | C2×C22⋊#11924753 |
| Sylow | C149 ⋊ C2×C22⋊C8 |
202 conjugacy classes of subgroups.
632 conjugacy classes — view the full character table.
| maximal subgroup of | #34059529, #34059534, C2×#23750468, … |
| maximal normal subgroup of | #34059529, #34059534, C2×#23750468, … |
| maximal quotient of | C2×#23750468, C2×#23750470, #34059922, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1516);