Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#19097695 |
| Sylow | C157 ⋊ C2×#103 |
162 conjugacy classes of subgroups.
1588 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#19097695, #103×Dic157, #34099966, … |
| maximal normal subgroup of | C4×#19097695, #103×Dic157, #34099966, … |
| maximal quotient of | C2×Q8⋊#11929434, #34098539, #34098565, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 540);