Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#18012660 |
| Sylow | C151 ⋊ C2×#102 |
202 conjugacy classes of subgroups.
1528 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#18012660, #102×Dic151, #34068935, … |
| maximal normal subgroup of | C4×#18012660, #102×Dic151, #34068935, … |
| maximal quotient of | C2×D4⋊(C151⋊C8), #34067509, #34067535, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 536);