Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C89 ⋊ #1544 |
202 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=e,b^2=f,c^2=g,d^2=g,e^2=fg,b^a=bd,d^a=df,h^a=h^88,d^b=dg,e^b=efg1270 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36445436, #36445438, #36445446, … |
| maximal normal subgroup of | #36445436, #36445438, #36445446, … |
| maximal quotient of | #36442383, #36442400, #36442729, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 3175);