Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C22×#14581786 |
| Fitting | C22×C42×C83 ⋊ C2 |
| Sylow | C83 ⋊ C22×#126 |
1320 conjugacy classes of subgroups.
2680 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35295766, #35328926, #35328930, … |
| maximal normal subgroup of | #35295766, #35328926, #35328930, … |
| maximal quotient of | C22×#19127569, C22×#19127585, C22×#19127592, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 17766);