Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#123×D89 |
| Fitting | C2×#123×C89 ⋊ C2 |
| Sylow | C89 ⋊ C22×#123 |
1968 conjugacy classes of subgroups.
1288 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36469890, #1468×D89, #36520493, … |
| maximal normal subgroup of | #36469890, #1468×D89, #36520493, … |
| maximal quotient of | C2×#381×D89, C2×#385×D89, C2×#386×D89, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 17740);