Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#19153070 |
| Fitting | C2×C42×C179 ⋊ C2 |
| Sylow | C179 ⋊ C2×#117 |
330 conjugacy classes of subgroups.
2888 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37507312, #37507332, #37508695, … |
| maximal normal subgroup of | #37507312, #37507332, #37508695, … |
| maximal quotient of | C2×#26038285, C2×C4×(C2×D179)⋊C4, C2×C4×Dic179⋊C4 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 1003);