Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | #339×D83 |
| Fitting | #339×C83 ⋊ C2 |
| Sylow | C83 ⋊ C2×#339 |
488 conjugacy classes of subgroups.
1204 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×#339×D83, #1733×D83, #35401793, … |
| maximal normal subgroup of | C2×#339×D83, #1733×D83, #35401793, … |
| maximal quotient of | #1276×D83, #35293844, #35293850, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 4214);