Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C22×#14558720 |
| Sylow | C149 ⋊ C22×M16 |
298 conjugacy classes of subgroups.
2408 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34044384, #34044385, #34044387, … |
| maximal normal subgroup of | #34044384, #34044385, #34044387, … |
| maximal quotient of | C22×#18011822, C2×C4×#14558720, C22×C22⋊#11924746, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1309);