Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
| direct product | #391×D83 |
| Fitting | #391×C83 ⋊ C2 |
| Sylow | C83 ⋊ C2×#391 |
928 conjugacy classes of subgroups.
1204 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #1272×D83, #35292400, #35292491, … |
| maximal normal subgroup of | #1272×D83, #35292400, #35292491, … |
| maximal quotient of | C4⋊#95×D83, #1436×D83, #35325602, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 6976);