Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#19128235 |
| Fitting | C22×C42×C83 ⋊ C2 |
| Sylow | C83 ⋊ C2×#529 |
1232 conjugacy classes of subgroups.
2680 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35295791, #35295794, #35295852, … |
| maximal normal subgroup of | #35295791, #35295794, #35295852, … |
| maximal quotient of | C2×#24909861, C2×#24909906, C2×#24909927, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 17776);