Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C25 |
| direct product | C2×#19127464 |
| Sylow | C83 ⋊ C2×#340 |
512 conjugacy classes of subgroups.
2680 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35291547, #35291549, #35291565, … |
| maximal normal subgroup of | #35291547, #35291549, #35291565, … |
| maximal quotient of | C2×#24905298, #35293870, #35293880, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 4224);