Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#14578944 |
| Sylow | C157 ⋊ C22×Q16 |
258 conjugacy classes of subgroups.
1588 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34100474, #34100475, #34100477, … |
| maximal normal subgroup of | #34100474, #34100475, #34100477, … |
| maximal quotient of | C22×#19097694, C22×#19097695, C22×#19097704, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1325);