Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#135×D89 |
| Fitting | C2×#135×C89 ⋊ C2 |
| Sylow | C89 ⋊ C22×#135 |
1504 conjugacy classes of subgroups.
1288 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36470081, #36470085, #1876×D89, … |
| maximal normal subgroup of | #36470081, #36470085, #1876×D89, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 19234);