Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
No aliases for this group.
| Fitting | C2×C22⋊Q8×C89 ⋊ C2 |
| Sylow | C89 ⋊ #3501 |
1100 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=g,c^2=g,b^a=bf,c^a=cg,e^a=ef,d^b=df,h^d=h^881276 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36445962, #36445965, #36447010, … |
| maximal normal subgroup of | #36445962, #36445965, #36447010, … |
| maximal quotient of | #36714513, #36714847, #36714853, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 18306);