Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Sylow | C89 ⋊ #1923 |
292 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=f,b^2=df,c^2=d,f^2=g,b^a=bd,c^a=ce,h^a=h^88,h^b=h^881816 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #1923×D89, C2×#26020860, #36556716, … |
| maximal normal subgroup of | #1923×D89, C2×#26020860, #36556716, … |
| maximal quotient of | #36452603, #36452610, #36452617, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 5118);