Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C8×Dic314 |
| Sylow | C157 ⋊ C8×Q8 |
102 conjugacy classes of subgroups.
2536 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34098114, #34098116, C8×#14578942, … |
| maximal normal subgroup of | #34098114, #34098116, C8×#14578942, … |
| maximal quotient of | C8×C4⋊Dic157, C8×#14578933, #34100692, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 674);