Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C25 |
| direct product | C2×#19097678 |
| Sylow | C157 ⋊ C2×#95 |
330 conjugacy classes of subgroups.
2536 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34097978, #34098014, #34098016, … |
| maximal normal subgroup of | #34097978, #34098014, #34098016, … |
| maximal quotient of | C4×#19097678, #34098358, #34098359, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 393);