Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C4×#14581766 |
| Fitting | C22×C42×C83 ⋊ C2 |
| Sylow | C83 ⋊ C4×#121 |
824 conjugacy classes of subgroups.
2680 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35292361, #35292364, #35292434, … |
| maximal normal subgroup of | #35292361, #35292364, #35292434, … |
| maximal quotient of | C4×#19127580, C4×#19127592, C4×#19127603, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 7023);