Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C22×M16×D83 |
| Fitting | C22×M16×C83 ⋊ C2 |
| Sylow | C83 ⋊ C23×M16 |
1720 conjugacy classes of subgroups.
1720 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35309638, (C2×D83)⋊#338, #35309676, … |
| maximal normal subgroup of | #35309638, (C2×D83)⋊#338, #35309676, … |
| maximal quotient of | C22×#97×D83, C2×C4×M16×D83, C22×M16×Dic83, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 19210);