Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C2×#19151526 |
| Sylow | C89 ⋊ C2×#397 |
820 conjugacy classes of subgroups.
1804 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#19151526, #36476251, #36479781, … |
| maximal normal subgroup of | C4×#19151526, #36476251, #36479781, … |
| maximal quotient of | C2×#26018495, C2×#26018499, C2×#26018501, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 7737);