Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
| direct product | C2×#19127458 |
| Sylow | C83 ⋊ C2×H(3,ℤ/4) |
404 conjugacy classes of subgroups.
1684 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35291535, #35291537, #35291541, … |
| maximal normal subgroup of | #35291535, #35291537, #35291541, … |
| maximal quotient of | C2×#24905291, #35293802, #35293805, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 4211);