Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Sylow | C89 ⋊ #2355 |
480 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=g,b^2=ef,c^2=f,d^2=e,b^a=be,c^a=cf,h^a=h^88,d^b=de,h^d=h^881810 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36571025, #36571027, #36571043, … |
| maximal normal subgroup of | #36571025, #36571027, #36571043, … |
| maximal quotient of | C4⋊C4×#13083553, #36475870, #36475874, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 7468);