Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | #417×D89 |
| Fitting | #417×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#417 |
816 conjugacy classes of subgroups.
1012 conjugacy classes — view the full character table.
| maximal subgroup of | #1792×D89, #1793×D89, #36553740, … |
| maximal normal subgroup of | #1792×D89, #1793×D89, #36553740, … |
| maximal quotient of | #1477×D89, #1489×D89, #36520885, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13018);