Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C22×#14578938 |
| Sylow | C157 ⋊ C22×M16 |
298 conjugacy classes of subgroups.
2536 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34099829, #34099830, #34099832, … |
| maximal normal subgroup of | #34099829, #34099830, #34099832, … |
| maximal quotient of | C22×#19097682, C2×C4×#14578938, C22×C22⋊#11929434, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1309);