Finite Group DatabasebetaFinite Group Databasebeta| order | 10688 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
| direct product | C4×Dic167⋊C4 |
| Sylow | C167 ⋊ C4×C4⋊C4 |
194 conjugacy classes of subgroups.
2696 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36323999, C8×Dic167⋊C4, #36324004, … |
| maximal normal subgroup of | #36323999, C8×Dic167⋊C4, #36324004, … |
| maximal quotient of | C4×C167⋊#95, #36322364, Dic167⋊#95, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10688, 402);