Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C4×#14581800 |
| Fitting | C4×M16×C83 ⋊ C2 |
| Sylow | C83 ⋊ C4×#131 |
572 conjugacy classes of subgroups.
1720 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35295075, #35295080, #35295085, … |
| maximal normal subgroup of | #35295075, #35295080, #35295085, … |
| maximal quotient of | C8×#14581800, #35370017, #35370067, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 12934);