Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×#14558726 |
| Sylow | C149 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
1508 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34043495, C8×#14558726, #34043507, … |
| maximal normal subgroup of | #34043495, C8×#14558726, #34043507, … |
| maximal quotient of | C8×#14558726, #34043539, #34043541, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 642);