Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#18011999 |
| Sylow | C149 ⋊ C2×#131 |
266 conjugacy classes of subgroups.
410 conjugacy classes — view the full character table.
| maximal subgroup of | #34060450, #34060468, #34060472, … |
| maximal normal subgroup of | #34060450, #34060468, #34060472, … |
| maximal quotient of | C2×#23750590, C4×#18011999, C2×#23750600, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1626);