Finite Group DatabasebetaFinite Group Databasebeta| order | 10688 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#19128767 |
| Sylow | C167 ⋊ C2×#108 |
106 conjugacy classes of subgroups.
1688 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36324016, #36324018, #36324021, … |
| maximal normal subgroup of | #36324016, #36324018, #36324021, … |
| maximal quotient of | C2×#24923019, C2×#24923021, #36322884, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10688, 594);