Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
| direct product | C4×Dic151⋊C4 |
| Sylow | C151 ⋊ C4×C4⋊C4 |
194 conjugacy classes of subgroups.
2440 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34068971, C8×Dic151⋊C4, #34068976, … |
| maximal normal subgroup of | #34068971, C8×Dic151⋊C4, #34068976, … |
| maximal quotient of | C4×C151⋊#95, #34067336, Dic151⋊#95, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 402);