Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | #41×Dic179 |
| Sylow | C179 ⋊ C4×#41 |
310 conjugacy classes of subgroups.
1820 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #104×Dic179, #37508812, #37509018, … |
| maximal normal subgroup of | #104×Dic179, #37508812, #37509018, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 1020);