Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
| direct product | C2×#18011822 |
| Sylow | C149 ⋊ C2×#97 |
146 conjugacy classes of subgroups.
2408 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34042521, #34042535, #34042572, … |
| maximal normal subgroup of | #34042521, #34042535, #34042572, … |
| maximal quotient of | C2×#23749347, #34042978, #34042983, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 498);