Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#15667958 |
| Sylow | C89 ⋊ C22×Q32 |
360 conjugacy classes of subgroups.
1276 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36471503, #36471504, #36471506, … |
| maximal normal subgroup of | #36471503, #36471504, #36471506, … |
| maximal quotient of | C22×#19151401, C22×#19151402, C22×#19151423, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 17622);