Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#19097691 |
| Fitting | C2×C4⋊C4×C157 ⋊ C2 |
| Sylow | C157 ⋊ C2×#102 |
202 conjugacy classes of subgroups.
1588 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34099950, C4×#19097691, #34099960, … |
| maximal normal subgroup of | #34099950, C4×#19097691, #34099960, … |
| maximal quotient of | C2×#23757000, #34098534, #34098560, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 535);