Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | #41×#10597010 |
| Fitting | #41×C149 ⋊ C4 |
| Sylow | C149 ⋊ C4×#41 |
310 conjugacy classes of subgroups.
410 conjugacy classes — view the full character table.
| maximal subgroup of | #104×#10597010, #34060456, #34060728, … |
| maximal normal subgroup of | #104×#10597010, #34060456, #34060728, … |
| maximal quotient of | #117×#10597010, C4×D4×#10597010, C4×Q8×#10597010, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1615);