Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#18012738 |
| Sylow | C151 ⋊ C2×C4⋊Q8 |
290 conjugacy classes of subgroups.
1528 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34070056, #34070060, #34070069, … |
| maximal normal subgroup of | #34070056, #34070060, #34070069, … |
| maximal quotient of | C2×#23752081, C2×#23752108, C2×#23752109, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 1092);