Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#19097696 |
| Sylow | C157 ⋊ C2×#103 |
162 conjugacy classes of subgroups.
2524 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34099955, C4×#19097696, #34099965, … |
| maximal normal subgroup of | #34099955, C4×#19097696, #34099965, … |
| maximal quotient of | C2×#23757005, #34098540, #34098566, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 541);