Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×Dic628 |
| Sylow | C157 ⋊ C22×Q16 |
258 conjugacy classes of subgroups.
2524 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34100476, #34100478, #34100995, … |
| maximal normal subgroup of | #34100476, #34100478, #34100995, … |
| maximal quotient of | C22×#19097696, C22×#19097705, C2×C4×Dic628, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1326);