Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×#14578944 |
| Sylow | C157 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
1588 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34098940, C8×#14578944, #34098952, … |
| maximal normal subgroup of | #34098940, C8×#14578944, #34098952, … |
| maximal quotient of | C8×#14578944, #34098984, #34098986, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 642);