Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C2×#19151520 |
| Fitting | C22×C4⋊C4×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#396 |
908 conjugacy classes of subgroups.
1804 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#19151520, #36476285, #36480069, … |
| maximal normal subgroup of | C4×#19151520, #36476285, #36480069, … |
| maximal quotient of | C2×#26018494, C2×#26018496, C2×#26018498, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 7730);