Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C89 ⋊ #1327 |
96 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=d,b^2=e,c^2=g,d^2=f,f^2=g,b^a=bc,c^a=ce,e^a=eg,d^b=deg,h^b=h^88,d^c=dg994 conjugacy classes — view the full character table.
| maximal subgroup of | #1327×D89, C2×#26018202, #36463614, … |
| maximal normal subgroup of | #1327×D89, C2×#26018202, #36463614, … |
| maximal quotient of | #36441062, #36441064, #36441073, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 2460);