Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×Dic712 |
| Sylow | C89 ⋊ C22×Q32 |
360 conjugacy classes of subgroups.
2860 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36471505, #36471507, #36471540, … |
| maximal normal subgroup of | #36471505, #36471507, #36471540, … |
| maximal quotient of | C22×#19151403, C22×#19151424, C2×C4×Dic712, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 17623);