Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C4 |
No aliases for this group.
| Sylow | C157 ⋊ #322 |
66 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,157|a^2=c,b^2=d,c^2=e,d^2=f,b^a=be,g^a=g^1562536 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #322×D157, C2×#23756995, C8×#14578937, … |
| maximal normal subgroup of | #322×D157, C2×#23756995, C8×#14578937, … |
| maximal quotient of | #34097963, #34098055, #34098057, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 271);