Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
| direct product | C4×#14578933 |
| Sylow | C157 ⋊ C4×C4⋊C4 |
194 conjugacy classes of subgroups.
2536 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34099997, C8×#14578933, #34100002, … |
| maximal normal subgroup of | #34099997, C8×#14578933, #34100002, … |
| maximal quotient of | C4×#19097678, #34098362, #34098364, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 402);