Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×C83⋊#401 |
| unambiguous semidirect product | (C2×C83)⋊#401 |
| Sylow | C83 ⋊ C2×#401 |
516 conjugacy classes of subgroups.
1684 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35326266, C4×C83⋊#401, #35330715, … |
| maximal normal subgroup of | #35326266, C4×C83⋊#401, #35330715, … |
| maximal quotient of | C2×#24905723, C2×#24905724, C2×#24905725, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 7806);