Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C26 |
| direct product | C22×#15667923 |
| Sylow | C89 ⋊ C22×#97 |
680 conjugacy classes of subgroups.
2896 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×#26018082, #36443849, C2×#26018096, … |
| maximal normal subgroup of | C2×#26018082, #36443849, C2×#26018096, … |
| maximal quotient of | C22×#19151320, C2×#26018539, C2×#26018544, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 12914);