Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×C89⋊#401 |
| unambiguous semidirect product | (C2×C89)⋊#401 |
| Sylow | C89 ⋊ C2×#401 |
516 conjugacy classes of subgroups.
1804 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36476290, C4×C89⋊#401, #36480739, … |
| maximal normal subgroup of | #36476290, C4×C89⋊#401, #36480739, … |
| maximal quotient of | C2×#26018512, C2×#26018513, C2×#26018514, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 7806);