Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C23×Dic314 |
| Sylow | C157 ⋊ C23×Q8 |
850 conjugacy classes of subgroups.
2536 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34098406, #34100059, #34100070, … |
| maximal normal subgroup of | #34098406, #34100059, #34100070, … |
| maximal quotient of | C23×#14578933, C23×C4⋊Dic157, C22×C4×Dic314, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1373);