Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C89 ⋊ #2857 |
644 conjugacy classes of subgroups; only the 201 normal subgroups are shown.
This group has 644 conjugacy classes of subgroups — too many to draw. Only its 201 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Polycyclic presentation:
2^7,89|a^2=e,b^2=e,c^2=f,b^a=be,c^a=cf,d^a=dg,h^c=h^881276 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36453404, #36453422, #36453548, … |
| maximal normal subgroup of | #36453404, #36453422, #36453548, … |
| maximal quotient of | #36485614, #36485668, #36485683, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 12858);