Finite Group DatabasebetaFinite Group Databasebeta| order | 6848 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C107 ⋊ #416 |
158 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,107|a^2=e,c^2=f,d^2=f,b^a=bd,d^a=df,g^a=g^106,d^b=df1088 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28336296, #28336299, #28336303, … |
| maximal normal subgroup of | #28336296, #28336299, #28336303, … |
| maximal quotient of | #28334843, #28334869, #28334895, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6848, 545);