Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C4×C8×C157 ⋊ C2 |
| Sylow | C157 ⋊ #436 |
122 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,157|a^2=e,c^2=e,e^2=f,b^a=bd,c^a=cf,g^a=g^156,c^b=cf,g^b=g^1562524 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34098093, #34098095, #34098965, … |
| maximal normal subgroup of | #34098093, #34098095, #34098965, … |
| maximal quotient of | #34099022, #34099028, #34099034, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 628);