Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#18011830 |
| Sylow | C149 ⋊ C2×#101 |
146 conjugacy classes of subgroups.
1502 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34042817, #34042818, C4×#18011830, … |
| maximal normal subgroup of | #34042817, #34042818, C4×#18011830, … |
| maximal quotient of | C2×#23749351, #34043015, #34043021, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 529);