Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C23×C42 |
| direct product | C4×#15667970 |
| Fitting | C4×C4⋊C4×C89 ⋊ C2 |
| Sylow | C89 ⋊ C4×#117 |
752 conjugacy classes of subgroups.
1840 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36443954, #36443958, #36444002, … |
| maximal normal subgroup of | #36443954, #36443958, #36444002, … |
| maximal quotient of | C4×#19151443, C4×#19151445, C4×C4⋊C4×Dic89, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 6850);