Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C2×C8 |
No aliases for this group.
| Fitting | #322×C89 ⋊ C2 |
| Sylow | C89 ⋊ #1450 |
212 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=d,b^2=e,d^2=f,e^2=g,h^a=h^88,c^b=cf,h^c=h^881840 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36463431, #36463435, #36463482, … |
| maximal normal subgroup of | #36463431, #36463435, #36463482, … |
| maximal quotient of | #36443786, #36443812, #36444856, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 2795);