Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C173 ⋊ #336 |
118 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,173|a^2=d,b^2=e,d^2=f,b^a=bc,g^a=g^80,g^d=g^172728 conjugacy classes — view the full character table.
| maximal subgroup of | #36368379, #36368380, #36368381, … |
| maximal normal subgroup of | #36368379, #36368380, #36368381, … |
| maximal quotient of | #36368385, #36368387, #36368389, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1415);