Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#19128081 |
| Sylow | C83 ⋊ C2×#494 |
552 conjugacy classes of subgroups.
2668 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35299709, #35303643, #35303645, … |
| maximal normal subgroup of | #35299709, #35303643, #35303645, … |
| maximal quotient of | C2×#24907060, C2×#24907073, C2×#24907081, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 14926);