Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
| direct product | C4×#14581788 |
| Fitting | C2×C4×D4×C83 ⋊ C2 |
| Sylow | C83 ⋊ C4×#127 |
924 conjugacy classes of subgroups.
1696 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35299056, #35299057, #35299059, … |
| maximal normal subgroup of | #35299056, #35299057, #35299059, … |
| maximal quotient of | C4×#19127601, C4×#19127604, C4×#19127602, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 7073);