Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#19151647 |
| Sylow | C89 ⋊ C2×#430 |
460 conjugacy classes of subgroups.
1804 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36460517, #36460519, #36460524, … |
| maximal normal subgroup of | #36460517, #36460519, #36460524, … |
| maximal quotient of | C2×#26019004, #36523412, C2×#26019019, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13117);