Finite Group Databasebeta

← Group #280323

Character table — Group #280323

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888224444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1111-111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-1-1-11111111111111111-1-1-1-1-11-1-111-1-1-1-1-1
χ411111111111111111111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111
χ51111111111111111111111-1-1-1-1111111-1-111-1-111-1-1-1-111-1-1-1-111-1-1-1111-1-1-1-111-1
χ61111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-11
χ71111111111111111111111-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-11
χ81111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-111-1
χ911111111111111111-1-1-1-11111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-111-1-1-1-11
χ1011111111111111111-1-1-1-11111111-1-11111-1-11111-1-1-1-1111111-1-11-1-1-1-1-1-1-11111-1
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-111-111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-111-1-111-1-111-1-1-1-11111-1-1111111-1111-1-1-1-111-1-1-1
χ1411111111111111111-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-111-1-1-111-1-1111
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-11-1-1111-1-1-1-1111
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1111-1-1-1111111-1-1-1
χ17222222222-2-22-2-222-22222-2000000-2-200002200-2-2000022000000000-2000000000
χ18222222222-2-22-2-222-22222-2000000-2-20000-2-200220000-2-20000000002000000000
χ19222222222-2-22-2-222-2-2-2-2-2-20000002200002200220000-2-2000000000-2000000000
χ20222222222-2-22-2-222-2-2-2-2-2-2000000220000-2-200-2-20000220000000002000000000
χ2122222222-222-222-2-2-20000-222222200-2-22200-2-200000000000000-2000000000000
χ2222222222-222-222-2-2-20000-22222-2-20022-2-200-2-2000000000000002000000000000
χ2322222222-222-222-2-2-20000-2-2-2-2-22200-2-2-2-20022000000000000002000000000000
χ2422222222-222-222-2-2-20000-2-2-2-2-2-2-2002222002200000000000000-2000000000000
χ2522-22-22-2-2-2002002-202i2i−2i−2i0i2i2−i2−i2000000002-2i2−i20022−2−22i−2i22−2−200000000i2−i200000
χ2622-22-22-2-2-2002002-202i2i−2i−2i0i2i2−i2−i200000000-22i2−i20022−2−2−2i2i−2−22200000000−i2i200000
χ2722-22-22-2-2-2002002-202i2i−2i−2i0−i2−i2i2i2000000002-2−i2i200−2−2222i−2i−2−22200000000−i2i200000
χ2822-22-22-2-2-2002002-202i2i−2i−2i0−i2−i2i2i200000000-22−i2i200−2−222−2i2i22−2−200000000i2−i200000
χ2922-22-22-2-2-2002002-20−2i−2i2i2i0i2i2−i2−i2000000002-2i2−i200−2−222−2i2i−2−22200000000i2−i200000
χ3022-22-22-2-2-2002002-20−2i−2i2i2i0i2i2−i2−i200000000-22i2−i200−2−2222i−2i22−2−200000000−i2i200000
χ3122-22-22-2-2-2002002-20−2i−2i2i2i0−i2−i2i2i2000000002-2−i2i20022−2−2−2i2i22−2−200000000−i2i200000
χ3222-22-22-2-2-2002002-20−2i−2i2i2i0−i2−i2i2i200000000-22−i2i20022−2−22i−2i−2−22200000000i2−i200000
χ332-22-2-222-2222-2-2-22-2-22i−2i2i−2i200002-22i−2i2-20000000000000000000000002i−2i0000000
χ342-22-2-222-2222-2-2-22-2-22i−2i2i−2i20000-222i−2i-22000000000000000000000000−2i2i0000000
χ352-22-2-222-2222-2-2-22-2-2−2i2i−2i2i200002-2−2i2i2-2000000000000000000000000−2i2i0000000
χ362-22-2-222-2222-2-2-22-2-2−2i2i−2i2i20000-22−2i2i-220000000000000000000000002i−2i0000000
χ372-22-2-222-22-2-2-2222-222i−2i2i−2i-2000000−2i2i000000000000000000002-200000000002i−2i0
χ382-22-2-222-22-2-2-2222-222i−2i2i−2i-2000000−2i2i00000000000000000000-220000000000−2i2i0
χ392-22-2-222-22-2-2-2222-22−2i2i−2i2i-20000002i−2i000000000000000000002-20000000000−2i2i0
χ402-22-2-222-22-2-2-2222-22−2i2i−2i2i-20000002i−2i00000000000000000000-2200000000002i−2i0
χ412-22-2-222-2-2222-2-2-2220000-200002-200-22000000002i−2i2i−2i0000000002i−2i0000000000
χ422-22-2-222-2-2222-2-2-2220000-200002-200-2200000000−2i2i−2i2i000000000−2i2i0000000000
χ432-22-2-222-2-2222-2-2-2220000-20000-22002-2000000002i−2i2i−2i000000000−2i2i0000000000
χ442-22-2-222-2-2222-2-2-2220000-20000-22002-200000000−2i2i−2i2i0000000002i−2i0000000000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-4-4-4-4404-404-4000000000000000000000000000000002i2−2i22i2−2i2000000000000000
χ47444-4-4-4-4404-404-400000000000000000000000000000000−2i22i2−2i22i2000000000000000
χ48444-4-4-4-440-440-44000000004i−4i4i−4i000000000000000000000000000000000000000
χ49444-4-4-4-440-440-4400000000−4i4i−4i4i000000000000000000000000000000000000000
χ5044-44-44-4-4400-400-440000002i22i2−2i2−2i20000000000−2i22i2000000000000000000000000000
χ5144-44-44-4-4400-400-44000000−2i2−2i22i22i200000000002i2−2i2000000000000000000000000000
χ5244-4-44-44-40000000000000022−22−22220000000000002i2−2i20000002i−2i−2i2i000000000000000
χ5344-4-44-44-40000000000000022−22−2222000000000000−2i22i2000000−2i2i2i−2i000000000000000
χ5444-4-44-44-400000000000000−222222−220000000000002i2−2i2000000−2i2i2i−2i000000000000000
χ5544-4-44-44-400000000000000−222222−22000000000000−2i22i20000002i−2i−2i2i000000000000000
χ564-4444-4-4-404-40-4400000000000000000000000000000000000000000000002i2−2i2000
χ574-4444-4-4-404-40-440000000000000000000000000000000000000000000000−2i22i2000
χ584-4444-4-4-40-4404-40000000000000000004i−4i0000000000000000000000000000000
χ594-4444-4-4-40-4404-4000000000000000000−4i4i0000000000000000000000000000000
χ604-44-4-444-4-4-4-4444-44-4000040000000000000000000000000000000000000000000
χ614-4-4-444-44400400-4-40000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ624-4-4-444-44400400-4-4000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ634-4-4-444-44-400-4004404-4-4400000000000000000000000000000000000000000000
χ644-4-4-444-44-400-400440-444-400000000000000000000000000000000000000000000
χ658-8-88-8-888000000000000000000000000000000000000000000000000000000000

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