Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C2×C4⋊Q8×C89 ⋊ C2 |
| Sylow | C89 ⋊ #2452 |
620 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=ef,b^2=f,c^2=f,d^2=e,b^a=be,c^a=cf,d^a=de,c^b=cg,h^b=h^881270 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36617372, #36617375, #36617447, … |
| maximal normal subgroup of | #36617372, #36617375, #36617447, … |
| maximal quotient of | #36476447, #36476800, #36477307, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 8356);