Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C26×C4 |
| direct product | C2×C22⋊C4×Dic83 |
| Sylow | C83 ⋊ C2×C4×C22⋊C4 |
1360 conjugacy classes of subgroups.
1720 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #323×Dic83, #35294916, #35297059, … |
| maximal normal subgroup of | #323×Dic83, #35294916, #35297059, … |
| maximal quotient of | C2×#95×Dic83, C4×C22⋊C4×Dic83, C2×#24905685, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 6842);