Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C89 ⋊ #2957 |
452 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=f,c^2=f,e^2=g,f^2=g,b^a=be,d^a=dg,e^a=eg,h^a=h^88,e^b=eg,d^c=dg,h^c=h^881276 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36470563, #36470567, #36470570, … |
| maximal normal subgroup of | #36470563, #36470567, #36470570, … |
| maximal quotient of | #36523886, #36523894, #36523902, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13427);