Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | M16×C173 ⋊ C4 |
| Sylow | C173 ⋊ #428 |
118 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,173|a^2=e,b^2=d,d^2=f,b^a=bd,d^a=df,g^a=g^80,c^b=cf,g^e=g^172452 conjugacy classes — view the full character table.
| maximal subgroup of | #36369518, #36369519, #36369522, … |
| maximal normal subgroup of | #36369518, #36369519, #36369522, … |
| maximal quotient of | #36369114, #36369115, #36369116, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1560);