Finite Group Databasebeta

← Group #283945

Character table — Group #283945

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11111111222222222222222244444444444444444444444444888888888888888888161616161616161616163232
order12222222444444448888888844444488888888888888888888224444444488888888444444888824
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111-1-1-1-1111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1
χ61111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111
χ71111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-11-1-1-1-1-1-111
χ81111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-111-1111111-1-1
χ91111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1
χ101111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-11
χ111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-111-1-1-11
χ121111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1111-1-1111-1
χ131111111111111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111-1-1-111-1-111-11
χ141111111111111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1111-1-111-1-11-1
χ151111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1111111-1-1-1-11-1-1-11111-1-11-1
χ161111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1111-1-1-1-111-11
χ172222222222-2-2-222-222222222-20000-20000-2-2-2-2000000000000002200220000000000-200-200000000
χ182222222222-2-2-222-222222222-20000-20000-2-2-2-200000000000000-2-200-2-20000000000200200000000
χ192222222222-2-2-222-2-2-2-2-2-2-2-2-2-20000-200002222000000000000002200-2-20000000000-200200000000
χ202222222222-2-2-222-2-2-2-2-2-2-2-2-2-20000-20000222200000000000000-2-200220000000000200-200000000
χ2122222222-2-2222-2-2200000000-22222-222220000-2-2-2-200000000-2-2002200-2-200000000000000000000
χ2222222222-2-2222-2-2200000000-22222-2-2-2-2-20000222200000000-2-200-2-2002200000000000000000000
χ2322222222-2-2222-2-2200000000-2-2-2-2-2-222220000-2-2-2-2000000002200-2-2002200000000000000000000
χ2422222222-2-2222-2-2200000000-2-2-2-2-2-2-2-2-2-2000022220000000022002200-2-200000000000000000000
χ25222-2-2-2-2200-22200-2i2i2i2i2−i2−i2−i2−i202i2i−2i−2i00000i2i2−i2−i22i2i−2i−2i2222−2−2−2−2000000002-222−2−2i2i2−i2−i2000000000000
χ26222-2-2-2-2200-22200-2i2i2i2i2−i2−i2−i2−i202i2i−2i−2i00000i2i2−i2−i2−2i−2i2i2i−2−2−2−2222200000000-2222−2−2−i2−i2i2i2000000000000
χ27222-2-2-2-2200-22200-2i2i2i2i2−i2−i2−i2−i20−2i−2i2i2i00000i2i2−i2−i22i2i−2i−2i2222−2−2−2−200000000-22−2−222−i2−i2i2i2000000000000
χ28222-2-2-2-2200-22200-2i2i2i2i2−i2−i2−i2−i20−2i−2i2i2i00000i2i2−i2−i2−2i−2i2i2i−2−2−2−22222000000002-2−2−222i2i2−i2−i2000000000000
χ29222-2-2-2-2200-22200-2−i2−i2−i2−i2i2i2i2i202i2i−2i−2i00000−i2−i2i2i22i2i−2i−2i−2−2−2−22222000000002-2−2−222−i2−i2i2i2000000000000
χ30222-2-2-2-2200-22200-2−i2−i2−i2−i2i2i2i2i202i2i−2i−2i00000−i2−i2i2i2−2i−2i2i2i2222−2−2−2−200000000-22−2−222i2i2−i2−i2000000000000
χ31222-2-2-2-2200-22200-2−i2−i2−i2−i2i2i2i2i20−2i−2i2i2i00000−i2−i2i2i22i2i−2i−2i−2−2−2−2222200000000-2222−2−2i2i2−i2−i2000000000000
χ32222-2-2-2-2200-22200-2−i2−i2−i2−i2i2i2i2i20−2i−2i2i2i00000−i2−i2i2i2−2i−2i2i2i2222−2−2−2−2000000002-222−2−2−i2−i2i2i2000000000000
χ3322-22-22-2-22-20002-2022-2-222-2-2000000i2i2−i2−i20000i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2002i−2i002i−2i00000000000000002−22−200
χ3422-22-22-2-22-20002-2022-2-222-2-2000000i2i2−i2−i20000i2−i2i2−i2i2i2−i2−i2i2i2−i2−i200−2i2i00−2i2i0000000000000000−22−2200
χ3522-22-22-2-22-20002-2022-2-222-2-2000000−i2−i2i2i20000−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2002i−2i002i−2i0000000000000000−22−2200
χ3622-22-22-2-22-20002-2022-2-222-2-2000000−i2−i2i2i20000−i2i2−i2i2−i2−i2i2i2−i2−i2i2i200−2i2i00−2i2i00000000000000002−22−200
χ3722-22-22-2-22-20002-20-2-222-2-222000000i2i2−i2−i20000i2−i2i2−i2−i2−i2i2i2−i2−i2i2i2002i−2i00−2i2i0000000000000000−222−200
χ3822-22-22-2-22-20002-20-2-222-2-222000000i2i2−i2−i20000i2−i2i2−i2−i2−i2i2i2−i2−i2i2i200−2i2i002i−2i00000000000000002−2−2200
χ3922-22-22-2-22-20002-20-2-222-2-222000000−i2−i2i2i20000−i2i2−i2i2i2i2−i2−i2i2i2−i2−i2002i−2i00−2i2i00000000000000002−2−2200
χ4022-22-22-2-22-20002-20-2-222-2-222000000−i2−i2i2i20000−i2i2−i2i2i2i2−i2−i2i2i2−i2−i200−2i2i002i−2i0000000000000000−222−200
χ412-2-222-2-220022-200-22−22−22−22−202i−2i2i−2i02-22-22−22−200002−22−22−22−200002i−2i0000i2−i2i2−i2i2−i2i2−i2000000000000
χ422-2-222-2-220022-200-22−22−22−22−202i−2i2i−2i0-22-222−22−20000−22−22−22−220000−2i2i0000i2−i2i2−i2−i2i2−i2i2000000000000
χ432-2-222-2-220022-200-22−22−22−22−20−2i2i−2i2i02-22-22−22−200002−22−22−22−20000−2i2i0000−i2i2−i2i2−i2i2−i2i2000000000000
χ442-2-222-2-220022-200-22−22−22−22−20−2i2i−2i2i0-22-222−22−20000−22−22−22−2200002i−2i0000−i2i2−i2i2i2−i2i2−i2000000000000
χ452-2-222-2-220022-200-2−22−22−22−2202i−2i2i−2i02-22-2−22−220000−22−22−22−2200002i−2i0000−i2i2−i2i2−i2i2−i2i2000000000000
χ462-2-222-2-220022-200-2−22−22−22−2202i−2i2i−2i0-22-22−22−2200002−22−22−22−20000−2i2i0000−i2i2−i2i2i2−i2i2−i2000000000000
χ472-2-222-2-220022-200-2−22−22−22−220−2i2i−2i2i02-22-2−22−220000−22−22−22−220000−2i2i0000i2−i2i2−i2i2−i2i2−i2000000000000
χ482-2-222-2-220022-200-2−22−22−22−220−2i2i−2i2i0-22-22−22−2200002−22−22−22−200002i−2i0000i2−i2i2−i2−i2i2−i2i2000000000000
χ492-2-2-2-2222222-22-2-2-22i−2i2i−2i−2i2i−2i2i-2000020000−2i2i2i−2i00000000000000000000000000000002i−2i02-2000000
χ502-2-2-2-2222222-22-2-2-22i−2i2i−2i−2i2i−2i2i-2000020000−2i2i2i−2i0000000000000000000000000000000−2i2i0-22000000
χ512-2-2-2-2222222-22-2-2-2−2i2i−2i2i2i−2i2i−2i-20000200002i−2i−2i2i00000000000000000000000000000002i−2i0-22000000
χ522-2-2-2-2222222-22-2-2-2−2i2i−2i2i2i−2i2i−2i-20000200002i−2i−2i2i0000000000000000000000000000000−2i2i02-2000000
χ532-2-2-2-222222-22-2-2-222i−2i2i−2i−2i2i−2i2i22-2-22-200002i−2i−2i2i0000000000002-200000000−2i2i2i−2i0000000000000000
χ542-2-2-2-222222-22-2-2-222i−2i2i−2i−2i2i−2i2i2-222-2-200002i−2i−2i2i000000000000-22000000002i−2i−2i2i0000000000000000
χ552-2-2-2-222222-22-2-2-22−2i2i−2i2i2i−2i2i−2i22-2-22-20000−2i2i2i−2i0000000000002-2000000002i−2i−2i2i0000000000000000
χ562-2-2-2-222222-22-2-2-22−2i2i−2i2i2i−2i2i−2i2-222-2-20000−2i2i2i−2i000000000000-2200000000−2i2i2i−2i0000000000000000
χ572-2-2-2-2222-2-2-22-222200000000-22-2-2220000000000002-22-2-22-22-220000000000002-2-22000000000000
χ582-2-2-2-2222-2-2-22-222200000000-22-2-222000000000000-22-222-22-2-22000000000000-222-2000000000000
χ592-2-2-2-2222-2-2-22-222200000000-2-222-220000000000002-22-2-22-222-2000000000000-222-2000000000000
χ602-2-2-2-2222-2-2-22-222200000000-2-222-22000000000000-22-222-22-22-20000000000002-2-22000000000000
χ6144444444-4-4-4-4-4-4-4-40000000040000400000000000000000000000000000000000000000000000000
χ62444-4-4-4-44004-4-40042i22i22i22i2−2i2−2i2−2i2−2i20000000000−2i2−2i22i22i2000000000000000000000000000000000000000000
χ63444-4-4-4-44004-4-4004−2i2−2i2−2i2−2i22i22i22i22i200000000002i22i2−2i2−2i2000000000000000000000000000000000000000000
χ6444-44-44-4-4-44000-440000000000000002i22i2−2i2−2i20000−2i22i2−2i22i200000000000000000000000000000000000000
χ6544-44-44-4-4-44000-44000000000000000−2i2−2i22i22i200002i2−2i22i2−2i200000000000000000000000000000000000000
χ6644-4-44-44-4000000002i22i2−2i2−2i2−2i2−2i22i22i20000000000000022−22−2222−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000
χ6744-4-44-44-4000000002i22i2−2i2−2i2−2i2−2i22i22i200000000000000−222222−222i2i−2i−2i−2i−2i2i2i000000000000000000000000000000
χ6844-4-44-44-400000000−2i2−2i22i22i22i22i2−2i2−2i20000000000000022−22−22222i2i−2i−2i−2i−2i2i2i000000000000000000000000000000
χ6944-4-44-44-400000000−2i2−2i22i22i22i22i2−2i2−2i200000000000000−222222−22−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000
χ704-444-4-44-40000000022−22−222222−22−22220000002i2−2i2−2i22i2000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ714-444-4-44-40000000022−22−222222−22−2222000000−2i22i22i2−2i200000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ724-444-4-44-400000000−222222−22−222222−220000002i2−2i2−2i22i200000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ734-444-4-44-400000000−222222−22−222222−22000000−2i22i22i2−2i2000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ744-44-444-4-44-4000-4404i−4i−4i4i−4i4i4i−4i00000000000000000000000000000000000000000000000000000000
χ754-44-444-4-44-4000-440−4i4i4i−4i4i−4i−4i4i00000000000000000000000000000000000000000000000000000000
χ764-44-444-4-4-440004-40000000000000000000000000002i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000000000000000
χ774-44-444-4-4-440004-4000000000000000000000000000−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000000000000000
χ784-4-444-4-4400-4-4400422−2222−2222−2222−220000000000−2222−2222000000000000000000000000000000000000000000
χ794-4-444-4-4400-4-44004−2222−2222−2222−2222000000000022−2222−22000000000000000000000000000000000000000000
χ804-4-4-4-4444-4-44-4444-40000000040000-400000000000000000000000000000000000000000000000000

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