Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C89 ⋊ #1315 |
116 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=d,c^2=g,d^2=f,f^2=g,b^a=bc,c^a=ce,h^a=h^88,c^b=cg,d^b=deg1270 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36441792, #36441793, #36441795, … |
| maximal normal subgroup of | #36441792, #36441793, #36441795, … |
| maximal quotient of | #36441055, #36441057, #36441059, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 2436);