Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
| direct product | C2×#18012649 |
| Sylow | C151 ⋊ C2×#97 |
146 conjugacy classes of subgroups.
2440 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34067189, #34067193, #97×Dic151, … |
| maximal normal subgroup of | #34067189, #34067193, #97×Dic151, … |
| maximal quotient of | C2×#23751933, C2×#23751934, #34067399, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 497);