Finite Group Databasebeta

← Group #255113

Character table — Group #255113

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244444444888888888888888888888888816161616161616161616161616161616
order12222222222244442244444422244444444444444888888882444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-111-1-11111111111111111-11-1-1-1-11-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-111111111
χ51111111111111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-111111-1-1-1-1
χ61111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-11-1-1-11-1-1-1-11111
χ71111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-11111
χ81111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-111-1-11111-1-1-1-1
χ9111111111111-1-1-1-1-1-11-1-1111-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1111-1-1-111-1-111-1-1
χ10111111111111-1-1-1-1-1-11-1-1111-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1111-1-1-1-1-111-1-111
χ11111111111111-1-1-1-1-1-11-1-1111-111-1-111111111-1-1-1-11111-1-1-1-11-1-1-1-11-11-1-111-1-111
χ12111111111111-1-1-1-1-1-11-1-1111-111-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-11-1111-1-111-1-1
χ13111111111111-1-1-1-1-1-11-1-1111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-11-111-111-1-1-1-111
χ14111111111111-1-1-1-1-1-11-1-1111-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-11-111-1-1-11111-1-1
χ15111111111111-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-111-11-111-1-11111-1-1
χ16111111111111-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-111-11-11111-1-1-1-111
χ172222222222222222-2-2-222-2-2-2-2002200220000000000000000000-2000-200000000
χ182222222222222222-2-2-222-2-2-2-200-2-200-2-200000000000000000002000200000000
χ19222222222222-2-2-2-222-2-2-2-2-2-22002200-2-20000000000000000000-2000200000000
χ20222222222222-2-2-2-222-2-2-2-2-2-2200-2-2002200000000000000000002000-200000000
χ2122222222-2-2-2-22222222-2-2-2-22-22200-2-20000000000000000000-200002000000000
χ2222222222-2-2-2-22222222-2-2-2-22-2-2-20022000000000000000000020000-2000000000
χ2322222222-2-2-2-22222-2-2-2-2-222-2200000000000000000000000020-202-20000000000
χ2422222222-2-2-2-22222-2-2-2-2-222-22000000000000000000000000-2020-220000000000
χ2522222222-2-2-2-2-2-2-2-222-22222-2-20000000000000000000000002020-2-20000000000
χ2622222222-2-2-2-2-2-2-2-222-22222-2-2000000000000000000000000-20-20220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222-2-2222200-2-2000000000000000000020000-2000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222-2-222-2-200220000000000000000000-200002000000000
χ2922-2-222-2-22-22-22i2i−2i−2i0002i−2i0000002i−2i002-20000000022−2−2i2i2−i2−i2000000000000i2−i22−2
χ3022-2-222-2-22-22-22i2i−2i−2i0002i−2i0000002i−2i002-200000000−2−222−i2−i2i2i2000000000000−i2i2−22
χ3122-2-222-2-22-22-22i2i−2i−2i0002i−2i000000−2i2i00-220000000022−2−2i2i2−i2−i2000000000000−i2i2−22
χ3222-2-222-2-22-22-22i2i−2i−2i0002i−2i000000−2i2i00-2200000000−2−222−i2−i2i2i2000000000000i2−i22−2
χ3322-2-222-2-22-22-2−2i−2i2i2i000−2i2i0000002i−2i00-220000000022−2−2−i2−i2i2i2000000000000i2−i2−22
χ3422-2-222-2-22-22-2−2i−2i2i2i000−2i2i0000002i−2i00-2200000000−2−222i2i2−i2−i2000000000000−i2i22−2
χ3522-2-222-2-22-22-2−2i−2i2i2i000−2i2i000000−2i2i002-20000000022−2−2−i2−i2i2i2000000000000−i2i22−2
χ3622-2-222-2-22-22-2−2i−2i2i2i000−2i2i000000−2i2i002-200000000−2−222i2i2−i2−i2000000000000i2−i2−22
χ372-22-22-2-222-2-220000002002-2-202-2002-2002i2i−2i−2i00002i−2i2i−2i00000000000000000000
χ382-22-22-2-222-2-220000002002-2-202-2002-200−2i−2i2i2i0000−2i2i−2i2i00000000000000000000
χ392-22-22-2-222-2-220000002002-2-20-2200-22002i2i−2i−2i0000−2i2i−2i2i00000000000000000000
χ402-22-22-2-222-2-220000002002-2-20-2200-2200−2i−2i2i2i00002i−2i2i−2i00000000000000000000
χ412-22-22-2-22-222-2000000200-22-202-200-220000002i2i−2i−2i00002i−2i2i−2i0000000000000000
χ422-22-22-2-22-222-2000000200-22-202-200-22000000−2i−2i2i2i0000−2i2i−2i2i0000000000000000
χ432-22-22-2-22-222-2000000200-22-20-22002-20000002i2i−2i−2i0000−2i2i−2i2i0000000000000000
χ442-22-22-2-22-222-2000000200-22-20-22002-2000000−2i−2i2i2i00002i−2i2i−2i0000000000000000
χ4544-44-4-4-44000000004-40000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ4644-44-4-4-44000000004-4000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ4744-44-4-4-4400000000-440000000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ4844-44-4-4-4400000000-44000000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ4944-4-444-4-4-44-444i4i−4i−4i000−4i4i00000000000000000000000000000000000000000000
χ5044-4-444-4-4-44-44−4i−4i4i4i0004i−4i00000000000000000000000000000000000000000000
χ514-444-44-4-400004i−4i4i−4i000000000000000000000000000000000000000002-22i−2i0000
χ524-444-44-4-400004i−4i4i−4i00000000000000000000000000000000000000000-22−2i2i0000
χ534-444-44-4-40000−4i4i−4i4i000000000000000000000000000000000000000002-2−2i2i0000
χ544-444-44-4-40000−4i4i−4i4i00000000000000000000000000000000000000000-222i−2i0000
χ554-44-44-4-444-4-44000000-400-44400000000000000000000000000000000000000000
χ564-44-44-4-44-444-4000000-4004-4400000000000000000000000000000000000000000
χ574-4-444-44-444-4-4000000000000000000000000000002i2−2i2−2i22i200000000000000000000
χ584-4-444-44-444-4-400000000000000000000000000000−2i22i22i2−2i200000000000000000000
χ594-4-444-44-4-4-44400000000000000000000000000000000022−22−22220000000000000000
χ604-4-444-44-4-4-444000000000000000000000000000000000−222222−220000000000000000
χ614-4-4-4-444400004-4-44000000000000000002-2-222-2-22000000000000000000000000
χ624-4-4-4-444400004-4-4400000000000000000-222-2-222-2000000000000000000000000
χ634-4-4-4-44440000-444-4000000000000000002-2-22-222-2000000000000000000000000
χ644-4-4-4-44440000-444-400000000000000000-222-22-2-22000000000000000000000000
χ65888-8-8-88-8000000000000000000000000000000000000000000000000000000000

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