Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#19151532 |
| Sylow | C89 ⋊ C2×#398 |
692 conjugacy classes of subgroups.
1804 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36476261, C4×#19151532, #36479811, … |
| maximal normal subgroup of | #36476261, C4×#19151532, #36479811, … |
| maximal quotient of | C2×#26018503, C2×#26018504, C2×#26018509, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 7744);