Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C22×Q8×C157 ⋊ C2 |
| Sylow | C157 ⋊ #393 |
202 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,157|a^2=d,b^2=d,b^a=bd,c^a=ce,c^b=cf,g^c=g^1561582 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34099086, #34099091, #34099113, … |
| maximal normal subgroup of | #34099086, #34099091, #34099113, … |
| maximal quotient of | #34098378, #34098395, #34098407, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 460);