Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C4×#14581764 |
| Fitting | C2×C4×D4×C83 ⋊ C2 |
| Sylow | C83 ⋊ C4×#121 |
824 conjugacy classes of subgroups.
1696 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C8×#14581764, #35410429, #35410439, … |
| maximal normal subgroup of | C8×#14581764, #35410429, #35410439, … |
| maximal quotient of | C4×#19127581, C4×#19127578, C4×#19127595, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 7019);