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 ⋊ #2381 |
424 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=g,b^2=e,c^2=ef,d^2=e,b^a=be,c^a=cf,d^a=def,h^a=h^88,c^b=cef,d^b=de1270 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36451968, #36451971, #36451973, … |
| maximal normal subgroup of | #36451968, #36451971, #36451973, … |
| maximal quotient of | #36476055, #36476078, #36476082, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 7691);