Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | Q8×C179⋊C8 |
| Sylow | C179 ⋊ C8×Q8 |
102 conjugacy classes of subgroups.
1820 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37507797, SD16×C179⋊C8, #37507804, … |
| maximal normal subgroup of | #37507797, SD16×C179⋊C8, #37507804, … |
| maximal quotient of | C4⋊C4×C179⋊C8, #37509559, #37509719, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 675);