Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C4×#15668059 |
| Fitting | C4×#41×C89 ⋊ C2 |
| Sylow | C89 ⋊ C4×2−1+4 |
1492 conjugacy classes of subgroups.
1828 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36445830, #36445833, #36520813, … |
| maximal normal subgroup of | #36445830, #36445833, #36520813, … |
| maximal quotient of | C4×#19152078, C4×#19152077, C4×#19152081, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 17720);