Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C22×#14578931 |
| Fitting | C23×C4×C157 ⋊ C2 |
| Sylow | C157 ⋊ C22×C22⋊C4 |
674 conjugacy classes of subgroups.
2536 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34098357, #34098372, #34098374, … |
| maximal normal subgroup of | #34098357, #34098372, #34098374, … |
| maximal quotient of | C22×#19097678, C2×C4×#14578931, C2×#23757128, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 996);