Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | #405×D83 |
| Fitting | #405×C83 ⋊ C2 |
| Sylow | C83 ⋊ C2×#405 |
592 conjugacy classes of subgroups.
1720 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #1378×D83, #1379×D83, #35319275, … |
| maximal normal subgroup of | #1378×D83, #1379×D83, #35319275, … |
| maximal quotient of | C8×M16×D83, #1450×D83, #1451×D83, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 12920);