Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C4×#15667985 |
| Fitting | C4×C22⋊C4×C89 ⋊ C2 |
| Sylow | C89 ⋊ C4×#121 |
824 conjugacy classes of subgroups.
1816 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C8×#15667985, #36560455, #36560465, … |
| maximal normal subgroup of | C8×#15667985, #36560455, #36560465, … |
| maximal quotient of | C4×#19151474, C4×#19151476, C4×#19151491, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 7021);