Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C157 ⋊ M64 |
32 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,157|a^2=c,c^2=d,d^2=e,e^2=f,b^a=bf,g^a=g^129,g^c=g^156664 conjugacy classes — view the full character table.
| maximal subgroup of | #34115247, #34115248, #34115251, … |
| maximal normal subgroup of | #34115247, #34115248, #34115251, … |
| maximal quotient of | #34115243, C22⋊#19097821, C4⋊#19097821, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1481);