Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | C2×#19127465 |
| Sylow | C83 ⋊ C2×#341 |
392 conjugacy classes of subgroups.
1696 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #341×Dic83, C4×#19127465, #35309592, … |
| maximal normal subgroup of | #341×Dic83, C4×#19127465, #35309592, … |
| maximal quotient of | C2×#24905297, #35293862, #35293869, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 4233);