Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | C2×#18011903 |
| Sylow | C149 ⋊ C2×#125 |
226 conjugacy classes of subgroups.
2396 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34043046, #34043048, C2×#23749366, … |
| maximal normal subgroup of | #34043046, #34043048, C2×#23749366, … |
| maximal quotient of | C2×#23749491, C2×#23749509, C2×#23749523, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1071);