Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#14558723 |
| Fitting | C22×Q8×C149 ⋊ C2 |
| Sylow | C149 ⋊ C22×SD16 |
298 conjugacy classes of subgroups.
1508 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34045022, #34045028, #34045044, … |
| maximal normal subgroup of | #34045022, #34045028, #34045044, … |
| maximal quotient of | C22×#18011831, C22×#18011835, C22×#18011842, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1321);