Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | D8×Dic179 |
| Sylow | C179 ⋊ C4×D8 |
134 conjugacy classes of subgroups.
1274 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37510844, D16×Dic179, SD32×Dic179, … |
| maximal normal subgroup of | #37510844, D16×Dic179, SD32×Dic179, … |
| maximal quotient of | D8×C179⋊C8, #37507830, #37507885, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 632);