Finite Group Databasebeta

← Group #94439

Character table — Group #94439

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1111222222444488888888888888881616161616163232323232323232
order12222244442244444444444444444422888888888888
χ111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ5111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1
χ6111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i
χ9111111-1-1-1-1-1-11111-1-1iiii−i−i−i−i11-1-11-1ii−i−i1-1i−i1-1i−i
χ10111111-1-1-1-1-1-11111-1-1iiii−i−i−i−i11-1-11-1ii−i−i-11−ii-11−ii
χ11111111-1-1-1-1-1-11111-1-1iiii−i−i−i−i-1-111-11−i−iiii−i-11−ii1-1
χ12111111-1-1-1-1-1-11111-1-1iiii−i−i−i−i-1-111-11−i−iii−ii1-1i−i-11
χ13111111-1-1-1-1-1-11111-1-1−i−i−i−iiiii11-1-11-1−i−iii1-1−ii1-1−ii
χ14111111-1-1-1-1-1-11111-1-1−i−i−i−iiiii11-1-11-1−i−iii-11i−i-11i−i
χ15111111-1-1-1-1-1-11111-1-1−i−i−i−iiiii-1-111-11ii−i−ii−i1-1−ii-11
χ16111111-1-1-1-1-1-11111-1-1−i−i−i−iiiii-1-111-11ii−i−i−ii-11i−i1-1
χ1722222222222222-2-2-2-20000000022-2-2-22000000000000
χ1822222222222222-2-2-2-200000000-2-2222-2000000000000
χ19222222-2-2-2-2-2-222-2-222000000002222-2-2000000000000
χ20222222-2-2-2-2-2-222-2-22200000000-2-2-2-222000000000000
χ214444444444-4-4-4-4000000000000000000000000000000
χ22444444-4-4-4-444-4-4000000000000000000000000000000
χ234444-4-444-4-4000000002i2i−2i−2i2i2i−2i−2i000000000000000000
χ244444-4-444-4-400000000−2i−2i2i2i−2i−2i2i2i000000000000000000
χ254444-4-4-4-4440000000022-2-2-2-222000000000000000000
χ264444-4-4-4-44400000000-2-22222-2-2000000000000000000
χ2744-4-4004i−4i0000002i−2i2-22-22i−2i2i−2i2-2000000000000000000
χ2844-4-4004i−4i0000002i−2i2-2-22−2i2i−2i2i-22000000000000000000
χ2944-4-4004i−4i000000−2i2i-222i−2i2-2-22−2i2i000000000000000000
χ3044-4-4004i−4i000000−2i2i-22−2i2i-222-22i−2i000000000000000000
χ3144-4-400−4i4i0000002i−2i-222i−2i-222-2−2i2i000000000000000000
χ3244-4-400−4i4i0000002i−2i-22−2i2i2-2-222i−2i000000000000000000
χ3344-4-400−4i4i000000−2i2i2-22-2−2i2i−2i2i2-2000000000000000000
χ3444-4-400−4i4i000000−2i2i2-2-222i−2i2i−2i-22000000000000000000
χ354-4-444-400004-4000000000000000000002i−2i2i−2i00000000
χ364-4-444-400004-400000000000000000000−2i2i−2i2i00000000
χ374-4-444-40000-44000000000000000000002-2-2200000000
χ384-4-444-40000-4400000000000000000000-222-200000000
χ394-4-44-440000004-4000000000000004-400000000000000
χ404-4-44-440000004-400000000000000-4400000000000000
χ414-4-44-44000000-440000000000004-40000000000000000
χ424-4-44-44000000-44000000000000-440000000000000000
χ438-88-800008i−8i0000000000000000000000000000000000
χ448-88-80000−8i8i0000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).