Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#19097703 |
| Sylow | C157 ⋊ C2×#106 |
130 conjugacy classes of subgroups.
2524 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34098235, #34098236, #34098241, … |
| maximal normal subgroup of | #34098235, #34098236, #34098241, … |
| maximal quotient of | C2×#23757024, #34098892, #34098907, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 580);