Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C8×D628 |
| Fitting | C4×C8×C157 ⋊ C2 |
| Sylow | C157 ⋊ C8×D4 |
134 conjugacy classes of subgroups.
2536 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34098090, #34098092, C8×#14578939, … |
| maximal normal subgroup of | #34098090, #34098092, C8×#14578939, … |
| maximal quotient of | C8×D1256, C8×#14578943, C8×Dic628, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 616);