Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | C2×#19097765 |
| Fitting | C2×C42×C157 ⋊ C2 |
| Sylow | C157 ⋊ C2×#126 |
246 conjugacy classes of subgroups.
2524 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34098503, #34098506, #34102684, … |
| maximal normal subgroup of | #34098503, #34098506, #34102684, … |
| maximal quotient of | C2×#23757141, C2×#23757157, C2×#23757164, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1074);