Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | D4×#11924753 |
| Sylow | C149 ⋊ C8×D4 |
134 conjugacy classes of subgroups.
410 conjugacy classes — view the full character table.
| maximal subgroup of | D8×#11924753, #34060271, SD16×#11924753, … |
| maximal normal subgroup of | D8×#11924753, #34060271, SD16×#11924753, … |
| maximal quotient of | D8×#11924753, SD16×#11924753, Q16×#11924753, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1575);