Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C89 ⋊ #1422 |
58 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=d,b^2=c,c^2=g,d^2=e,e^2=f,f^2=g,b^a=bc,c^a=cg,h^b=h^881816 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #1422×D89, C2×#26018449, #36474919, … |
| maximal normal subgroup of | #1422×D89, C2×#26018449, #36474919, … |
| maximal quotient of | #36442093, #36442100, #36442118, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 2707);