Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Sylow | C89 ⋊ #2439 |
508 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=f,c^2=f,d^2=e,b^a=be,c^a=cf,d^a=de,h^a=h^88,c^b=cg1798 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36611500, #36611505, #36611545, … |
| maximal normal subgroup of | #36611500, #36611505, #36611545, … |
| maximal quotient of | #36476404, #36477078, #36477354, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 8201);