Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×Q16×D89 |
| Fitting | C4×Q16×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×C4×Q16 |
488 conjugacy classes of subgroups.
1288 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #1332×D89, #36464179, #1334×D89, … |
| maximal normal subgroup of | #1332×D89, #36464179, #1334×D89, … |
| maximal quotient of | C8×Q16×D89, #1584×D89, #1591×D89, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13271);