Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | M16×C173 ⋊ C4 |
| Sylow | C173 ⋊ #405 |
130 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,173|a^2=d,b^2=e,d^2=f,g^a=g^93,c^b=cf,g^b=g^80,g^d=g^172,g^e=g^172470 conjugacy classes — view the full character table.
| maximal subgroup of | #36369320, #36369322, #36369339, … |
| maximal normal subgroup of | #36369320, #36369322, #36369339, … |
| maximal quotient of | M16×#13063443, #36368761, #36368768, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1515);