Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | #108×D149 |
| Fitting | #108×C149 ⋊ C2 |
| Sylow | C149 ⋊ C2×#108 |
106 conjugacy classes of subgroups.
1064 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #359×D149, #34046417, #361×D149, … |
| maximal normal subgroup of | #359×D149, #34046417, #361×D149, … |
| maximal quotient of | #334×D149, #335×D149, #34043436, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 593);