Finite Group Databasebeta

← Group #280368

Character table — Group #280368

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888222444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-111111111111111-1-1-11-1-1-1-111-1-1-1-1-1
χ311111111111111111111111111-1-111111111-1-1-1-1111111-1-1-1-1111-111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111111
χ51111111111111111111111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1
χ61111111111111111111111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111
χ71111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1111111-1-1-1
χ911111111111111111-1-1-1-1111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-11
χ1011111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111-1-1111111-1
χ1111111111111111111-1-1-1-111111-1-111-1-11111111111-1-1-1-111111-1-1-1-1-1-1-1-1-11111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-111-11111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1111-1-111-1-1-1-111-1
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-111-1-11
χ1511111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-111-1-1-1-1-11111-1-11
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-11-1-1-1111111-1-111-1
χ172222222222-2-22-2-22-20000-2222200220022-2-20000-2-200000000-200000000000000
χ182222222222-2-22-2-22-20000-2222200-2-200-2-2220000-2-200000000200000000000000
χ192222222222-2-22-2-22-20000-2-2-2-2-2002200-2-2-2-200002200000000200000000000000
χ202222222222-2-22-2-22-20000-2-2-2-2-200-2-200222200002200000000-200000000000000
χ2122222222-2-222-222-2-22222-200002200-2-2000022-2-20000000000000-200000000000
χ2222222222-2-222-222-2-22222-20000-2-200-2-20000-2-2220000000000000200000000000
χ2322222222-2-222-222-2-2-2-2-2-2-200002200220000-2-2220000000000000-200000000000
χ2422222222-2-222-222-2-2-2-2-2-2-20000-2-20022000022-2-20000000000000200000000000
χ2522-2-2-222-2002-202-20022-2-20i2i2−i2−i22-2000000002-200i2−i2i2i2−i2−i2i2i2−i2−i200000000i2−i200000
χ2622-2-2-222-2002-202-20022-2-20i2i2−i2−i2-2200000000-2200i2−i2i2i2−i2−i2−i2−i2i2i200000000−i2i200000
χ2722-2-2-222-2002-202-20022-2-20−i2−i2i2i22-2000000002-200−i2i2−i2−i2i2i2−i2−i2i2i200000000−i2i200000
χ2822-2-2-222-2002-202-20022-2-20−i2−i2i2i2-2200000000-2200−i2i2−i2−i2i2i2i2i2−i2−i200000000i2−i200000
χ2922-2-2-222-2002-202-200-2-2220i2i2−i2−i22-200000000-2200i2−i2−i2−i2i2i2−i2−i2i2i200000000i2−i200000
χ3022-2-2-222-2002-202-200-2-2220i2i2−i2−i2-22000000002-200i2−i2−i2−i2i2i2i2i2−i2−i200000000−i2i200000
χ3122-2-2-222-2002-202-200-2-2220−i2−i2i2i22-200000000-2200−i2i2i2i2−i2−i2i2i2−i2−i200000000−i2i200000
χ3222-2-2-222-2002-202-200-2-2220−i2−i2i2i2-22000000002-200−i2i2i2i2−i2−i2−i2−i2i2i200000000i2−i200000
χ332-2-222-22-22-2222-2-2-2-22-22-220000002i−2i2-2002i−2i0000000000000000002i−2i000000000
χ342-2-222-22-22-2222-2-2-2-22-22-22000000−2i2i2-200−2i2i000000000000000000−2i2i000000000
χ352-2-222-22-22-2222-2-2-2-2-22-2220000002i−2i-22002i−2i000000000000000000−2i2i000000000
χ362-2-222-22-22-2222-2-2-2-2-22-222000000−2i2i-2200−2i2i0000000000000000002i−2i000000000
χ372-2-222-22-22-2-2-2222-220000-20000002i−2i0000−2i2i0000002i−2i2i−2i000002-2000000000000
χ382-2-222-22-22-2-2-2222-220000-20000002i−2i0000−2i2i000000−2i2i−2i2i00000-22000000000000
χ392-2-222-22-22-2-2-2222-220000-2000000−2i2i00002i−2i0000002i−2i2i−2i00000-22000000000000
χ402-2-222-22-22-2-2-2222-220000-2000000−2i2i00002i−2i000000−2i2i−2i2i000002-2000000000000
χ412-2-222-22-2-2222-2-2-2222-22-2-200000000-220000000000000000000000002i−2i002i−2i000
χ422-2-222-22-2-2222-2-2-2222-22-2-200000000-22000000000000000000000000−2i2i00−2i2i000
χ432-2-222-22-2-2222-2-2-222-22-22-2000000002-20000000000000000000000002i−2i00−2i2i000
χ442-2-222-22-2-2222-2-2-222-22-22-2000000002-2000000000000000000000000−2i2i002i−2i000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ4644-44-4-4-444400-400-400000000000000004i−4i0000000000000000000000000000000
χ4744-44-4-4-444400-400-40000000000000000−4i4i0000000000000000000000000000000
χ4844-44-4-4-44-4-4004004000000000000000000000000000000000000000000000022−220
χ4944-44-4-4-44-4-40040040000000000000000000000000000000000000000000000−22220
χ5044-4-4-444-400-440-4400000002i22i2−2i2−2i200000000000000−2i22i200000000000000000000000
χ5144-4-4-444-400-440-440000000−2i2−2i22i22i2000000000000002i2−2i200000000000000000000000
χ524-444-44-4-44-400-40040000004i−4i4i−4i000000000000000000000000000000000000000
χ534-444-44-4-44-400-4004000000−4i4i−4i4i000000000000000000000000000000000000000
χ544-444-44-4-4-4400400-40000000000000000000000000000002i2−2i22i2−2i2000000000000000
χ554-444-44-4-4-4400400-4000000000000000000000000000000−2i22i2−2i22i2000000000000000
χ564-44-4-4-444004-40-44004-4-4400000000000000000000000000000000000000000000
χ574-44-4-4-444004-40-4400-444-400000000000000000000000000000000000000000000
χ584-44-4-4-44400-4404-400000000000000000000000000022−22−22220000000000000000000
χ594-44-4-4-44400-4404-4000000000000000000000000000−222222−220000000000000000000
χ604-4-444-44-4-44-4-4-4444-4000040000000000000000000000000000000000000000000
χ614-4-4-444-440000000000000022−22−222200000000000022−220000002-2-22000000000000000
χ624-4-4-444-440000000000000022−22−2222000000000000−2222000000-222-2000000000000000
χ634-4-4-444-4400000000000000−222222−2200000000000022−22000000-222-2000000000000000
χ644-4-4-444-4400000000000000−222222−22000000000000−22220000002-2-22000000000000000
χ65888-88-8-8-8000000000000000000000000000000000000000000000000000000000

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