Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C89 ⋊ #1830 |
236 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=f,b^2=g,c^2=d,f^2=g,b^a=bd,c^a=ce,d^a=dg,h^a=h^88,f^b=fg,e^c=eg1525 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36470061, #36470063, #36470065, … |
| maximal normal subgroup of | #36470061, #36470063, #36470065, … |
| maximal quotient of | #36447890, #36447896, #36447950, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 4624);