Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#19097794 |
| Fitting | C2×Q16×C157 ⋊ C2 |
| Sylow | C157 ⋊ C2×#135 |
266 conjugacy classes of subgroups.
1120 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34101842, #34101847, #34101884, … |
| maximal normal subgroup of | #34101842, #34101847, #34101884, … |
| maximal quotient of | C2×#23757268, C2×#23757310, C2×#23757355, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1332);