Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×Dic628 |
| Sylow | C157 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
2524 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34098099, #34098101, #34098105, … |
| maximal normal subgroup of | #34098099, #34098101, #34098105, … |
| maximal quotient of | C8×Dic628, #34098988, #34099034, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 645);