Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C2×C4×#13083573 |
| Fitting | C2×C4×D4×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×C4×#41 |
1728 conjugacy classes of subgroups.
1840 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36445801, #36520236, #36520238, … |
| maximal normal subgroup of | #36445801, #36520236, #36520238, … |
| maximal quotient of | C2×C4×#15667968, C2×C4×#15667970, C2×C4×#15667972, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 17688);