Finite Group DatabasebetaFinite Group Databasebeta| order | 10688 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C25 |
| direct product | #95×D167 |
| Fitting | #95×C167 ⋊ C2 |
| Sylow | C167 ⋊ C2×#95 |
330 conjugacy classes of subgroups.
1700 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #327×D167, #328×D167, #36322639, … |
| maximal normal subgroup of | #327×D167, #328×D167, #36322639, … |
| maximal quotient of | #95×Dic167, (C2×D167)⋊#95, Dic167⋊#95, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10688, 392);