Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Sylow | C89 ⋊ #2489 |
476 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=g,b^2=f,d^2=e,b^a=be,c^a=cf,d^a=de,h^a=h^88,c^b=cg,h^b=h^881270 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36622469, #36622473, #36622529, … |
| maximal normal subgroup of | #36622469, #36622473, #36622529, … |
| maximal quotient of | #36476370, #36476781, #36477428, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 8853);