Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#14578955 |
| Fitting | C4×Q8×C157 ⋊ C2 |
| Sylow | C157 ⋊ C4×#41 |
310 conjugacy classes of subgroups.
1600 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34098517, #34098522, #34098569, … |
| maximal normal subgroup of | #34098517, #34098522, #34098569, … |
| maximal quotient of | C4×#19097729, C4×#19097733, C4×Q8×Dic157, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1019);