Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
| direct product | C4×#14581782 |
| Sylow | C83 ⋊ C4×#125 |
484 conjugacy classes of subgroups.
1696 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C8×#14581782, #35412704, #35412710, … |
| maximal normal subgroup of | C8×#14581782, #35412704, #35412710, … |
| maximal quotient of | C4×#19127582, C4×#19127587, C4×#19127586, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 7066);