Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#19151599 |
| Sylow | C89 ⋊ C2×#417 |
816 conjugacy classes of subgroups.
1804 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36459902, #36459904, #36459945, … |
| maximal normal subgroup of | #36459902, #36459904, #36459945, … |
| maximal quotient of | C2×#26018639, C2×#26018691, #36520889, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13022);