Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×Dic712 |
| Sylow | C89 ⋊ C4×Q32 |
150 conjugacy classes of subgroups.
2860 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36441880, #36441882, #36441886, … |
| maximal normal subgroup of | #36441880, #36441882, #36441886, … |
| maximal quotient of | C8×Dic712, #36466346, #36466420, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 6370);