Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×#18012680 |
| Fitting | C2×D8×C151 ⋊ C2 |
| Sylow | C151 ⋊ C2×D16 |
98 conjugacy classes of subgroups.
1072 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34070954, C4×#18012680, #34070983, … |
| maximal normal subgroup of | #34070954, C4×#18012680, #34070983, … |
| maximal quotient of | C2×#23752012, C2×#23752013, C2×#23752037, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 969);