Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C23×Dic302 |
| Sylow | C151 ⋊ C23×Q8 |
850 conjugacy classes of subgroups.
2440 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34067380, #34069033, #34069044, … |
| maximal normal subgroup of | #34067380, #34069033, #34069044, … |
| maximal quotient of | C23×Dic151⋊C4, C23×C4⋊Dic151, C22×C4×Dic302, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 1373);