Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#19151437 |
| Fitting | C2×C32×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×SD64 |
112 conjugacy classes of subgroups.
2854 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36475006, C4×#19151437, #36475018, … |
| maximal normal subgroup of | #36475006, C4×#19151437, #36475018, … |
| maximal quotient of | C2×#26018431, C2×#26018434, C2×#26018454, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 6812);