Finite Group DatabasebetaFinite Group Databasebeta| order | 6848 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C107 ⋊ #470 |
110 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,107|a^2=f,b^2=df,d^2=f,b^a=bd,c^a=ce,d^a=df,g^a=g^106,c^b=cf1076 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28334448, #28334450, #28334454, … |
| maximal normal subgroup of | #28334448, #28334450, #28334454, … |
| maximal quotient of | #28335950, #28335955, #28335984, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6848, 807);