Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C8×D716 |
| Fitting | C4×C8×C179 ⋊ C2 |
| Sylow | C179 ⋊ C8×D4 |
134 conjugacy classes of subgroups.
2888 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37506954, #37506956, C8×#15668244, … |
| maximal normal subgroup of | #37506954, #37506956, C8×#15668244, … |
| maximal quotient of | C8×D1432, C8×#15668248, C8×Dic716, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 616);