Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C32 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C89 ⋊ M128 |
38 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=c,c^2=d,d^2=e,e^2=f,f^2=g,b^a=bg,h^a=h^882896 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36442234, #36442235, #36442238, … |
| maximal normal subgroup of | #36442234, #36442235, #36442238, … |
| maximal quotient of | #36442233, #36442237, #36442324, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 2721);