Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C16 · Schur multiplier (H2) = C4 |
No aliases for this group.
| Sylow | C89 ⋊ #1312 |
92 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=c,b^2=d,c^2=e,d^2=f,f^2=g,b^a=be,h^b=h^882896 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36441044, #36441045, #36441082, … |
| maximal normal subgroup of | #36441044, #36441045, #36441082, … |
| maximal quotient of | #36441044, #36441256, #36441759, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 2428);