Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C2×#19097711 |
| Sylow | C157 ⋊ C2×M32 |
90 conjugacy classes of subgroups.
2536 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34098215, #34098216, #34098217, … |
| maximal normal subgroup of | #34098215, #34098216, #34098217, … |
| maximal quotient of | C2×#23757049, C4×#19097711, C2×C22⋊#14578929, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 964);