Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×D2656 |
| Fitting | C2×C32×C83 ⋊ C2 |
| Sylow | C83 ⋊ C2×D32 |
120 conjugacy classes of subgroups.
2662 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35292281, #35292283, #35292293, … |
| maximal normal subgroup of | #35292281, #35292283, #35292293, … |
| maximal quotient of | C2×#24905642, C2×#24905663, C4×D2656, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 6808);