Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C4×#14581765 |
| Fitting | C4×C22⋊C4×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×#14581765, #35410431, #35410441, … |
| maximal normal subgroup of | C8×#14581765, #35410431, #35410441, … |
| maximal quotient of | C4×#19127577, C4×#19127579, C4×#19127594, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 7021);