Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Sylow | C89 ⋊ #2924 |
402 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=f,c^2=e,f^2=g,b^a=be,h^a=h^88,d^c=dg1810 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36450740, #36450744, #36450754, … |
| maximal normal subgroup of | #36450740, #36450744, #36450754, … |
| maximal quotient of | #36551926, #36551989, #36552340, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13168);