Finite Group DatabasebetaFinite Group Databasebeta| order | 10688 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×Dic167⋊C8 |
| Sylow | C167 ⋊ C2×C4⋊C8 |
138 conjugacy classes of subgroups.
2696 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36322077, #36323986, C4×Dic167⋊C8, … |
| maximal normal subgroup of | #36322077, #36323986, C4×Dic167⋊C8, … |
| maximal quotient of | C2×#24923019, C2×#24923021, #36322884, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10688, 569);