Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | C4×#15668001 |
| Fitting | C2×C4×Q8×C89 ⋊ C2 |
| Sylow | C89 ⋊ C4×#124 |
652 conjugacy classes of subgroups.
1816 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36449070, #36449086, #36449088, … |
| maximal normal subgroup of | #36449070, #36449086, #36449088, … |
| maximal quotient of | C4×#19151488, C4×#19151499, C4×#19151505, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 7056);