Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C8×Dic302 |
| Sylow | C151 ⋊ C8×Q8 |
102 conjugacy classes of subgroups.
2440 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34067088, #34067090, C8×#14558992, … |
| maximal normal subgroup of | #34067088, #34067090, C8×#14558992, … |
| maximal quotient of | C8×C4⋊Dic151, C8×Dic151⋊C4, #34069666, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 674);