Finite Group DatabasebetaFinite Group Databasebeta| order | 10688 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | #108×D167 |
| Fitting | #108×C167 ⋊ C2 |
| Sylow | C167 ⋊ C2×#108 |
106 conjugacy classes of subgroups.
1190 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #359×D167, #36325864, #361×D167, … |
| maximal normal subgroup of | #359×D167, #36325864, #361×D167, … |
| maximal quotient of | #334×D167, #335×D167, #36322883, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10688, 593);