Finite Group DatabasebetaFinite Group Databasebeta| order | 10688 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
| direct product | #97×D167 |
| Fitting | #97×C167 ⋊ C2 |
| Sylow | C167 ⋊ C2×#97 |
146 conjugacy classes of subgroups.
1700 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #329×D167, #330×D167, #36322723, … |
| maximal normal subgroup of | #329×D167, #330×D167, #36322723, … |
| maximal quotient of | #322×D167, #36322424, #36322426, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10688, 496);