Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C4 |
No aliases for this group.
| Sylow | C173 ⋊ #489 |
100 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,173|b^2=e,c^2=d,d^2=f,e^2=f,b^a=bd,c^a=ce,d^a=df,e^a=ef,c^b=cf,g^b=g^172,g^c=g^1721220 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36352869, #36352871, #36352880, … |
| maximal normal subgroup of | #36352869, #36352871, #36352880, … |
| maximal quotient of | #36353696, #36354256, #36354263, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 908);