Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
| direct product | #97×D157 |
| Fitting | #97×C157 ⋊ C2 |
| Sylow | C157 ⋊ C2×#97 |
146 conjugacy classes of subgroups.
1600 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #329×D157, #330×D157, #34098721, … |
| maximal normal subgroup of | #329×D157, #330×D157, #34098721, … |
| maximal quotient of | #322×D157, #34098422, #34098424, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 496);