Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C89 ⋊ #1838 |
180 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=f,b^2=e,c^2=d,d^2=g,e^2=g,f^2=g,b^a=bd,c^a=ce,d^a=dg,e^a=eg,h^a=h^88,c^b=cg1792 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36441598, #36448827, #36448828, … |
| maximal normal subgroup of | #36441598, #36448827, #36448828, … |
| maximal quotient of | #36448095, #36448099, #36448102, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 4651);