Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
| direct product | C2×#19127673 |
| Fitting | C2×#99×C83 ⋊ C2 |
| Sylow | C83 ⋊ C2×#410 |
788 conjugacy classes of subgroups.
946 conjugacy classes — view the full character table.
| maximal subgroup of | #35319345, #35319353, #35319372, … |
| maximal normal subgroup of | #35319345, #35319353, #35319372, … |
| maximal quotient of | C2×#24905774, C2×#24905776, C2×#24905782, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 12965);