Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | #417×D83 |
| Fitting | #417×C83 ⋊ C2 |
| Sylow | C83 ⋊ C2×#417 |
816 conjugacy classes of subgroups.
946 conjugacy classes — view the full character table.
| maximal subgroup of | #1792×D83, #1793×D83, #35403716, … |
| maximal normal subgroup of | #1792×D83, #1793×D83, #35403716, … |
| maximal quotient of | #1477×D83, #1489×D83, #35370861, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 13018);