Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#18012704 |
| Sylow | C151 ⋊ C2×C4×Q8 |
298 conjugacy classes of subgroups.
1540 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34067432, #34067452, #34068905, … |
| maximal normal subgroup of | #34067432, #34067452, #34068905, … |
| maximal quotient of | C2×#23752063, C2×C4⋊C4×Dic151, C4×#18012704, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 1013);