Finite Group DatabasebetaFinite Group Databasebeta| order | 10688 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C8×D668 |
| Fitting | C4×C8×C167 ⋊ C2 |
| Sylow | C167 ⋊ C8×D4 |
134 conjugacy classes of subgroups.
2696 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36322092, #36322094, C8×#14581935, … |
| maximal normal subgroup of | #36322092, #36322094, C8×#14581935, … |
| maximal quotient of | C8×D1336, C8×#14581939, C8×Dic668, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10688, 616);