Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#14578943 |
| Fitting | C22×C8×C157 ⋊ C2 |
| Sylow | C157 ⋊ C22×SD16 |
298 conjugacy classes of subgroups.
2524 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34100469, #34100471, #34100490, … |
| maximal normal subgroup of | #34100469, #34100471, #34100490, … |
| maximal quotient of | C22×#19097693, C22×#19097696, C22×#19097703, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1323);