Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | C2×#19127462 |
| Sylow | C83 ⋊ C2×#339 |
488 conjugacy classes of subgroups.
1696 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #339×Dic83, C4×#19127462, #35309579, … |
| maximal normal subgroup of | #339×Dic83, C4×#19127462, #35309579, … |
| maximal quotient of | C2×#24905295, #35293845, #35293853, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 4217);