Finite Group Databasebeta

← Group #284730

Character table — Group #284730

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222224444444444444444444444444488888888161616161616161616161616161616163232
order12222222444444444488888888888888888888888844444444224444448888888824
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-111-1-1-1-11-1-11-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-111-1-111-1-1-111-1-1-1-1-1-1-11111-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111
χ51111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-111111-1-111-1-1-1-11-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-11-1-1-1-1111111-11
χ71111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-111-1-1-1-1-1-1-11
χ81111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1-11111-1-111111-1
χ9111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1111-1-1-1-111-1-1-1-1
χ10111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ11111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111
χ12111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1111111-1-111-1-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-111111-1-1-1-111-11
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1111-1-111-1-111-1-11-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111111-1-1-1-1-1-1-111-1-1111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111-111-1-11111-1-1-11
χ172222222222-22-2-2-22-2-2000022220000-2-2-2-2000000002200220000-200-2000000000000
χ182222222222-22-2-2-22-2-2000022220000-2-2-2-200000000-2-200-2-200002002000000000000
χ192222222222-22-2-2-22-2-20000-2-2-2-200002222000000002200-2-20000200-2000000000000
χ202222222222-22-2-2-22-2-20000-2-2-2-20000222200000000-2-200220000-2002000000000000
χ2122222222-2-22-2222-2-2-222220000-2-2-2-2000000000000002200-2-2000-220000000000000
χ2222222222-2-22-2222-2-2-222220000-2-2-2-200000000000000-2-200220002-20000000000000
χ2322222222-2-22-2222-2-2-2-2-2-2-200002222000000000000002200-2-20002-20000000000000
χ2422222222-2-22-2222-2-2-2-2-2-2-20000222200000000000000-2-20022000-220000000000000
χ2522-2-22-2-222-202000-20022−2−222-2-222−2−200002222−2−2−2−22i−2i002i−2i0000000000i2−i2i2−i2000000
χ2622-2-22-2-222-202000-20022−2−222-2-222−2−200002222−2−2−2−2−2i2i00−2i2i0000000000−i2i2−i2i2000000
χ2722-2-22-2-222-202000-20022−2−2-2-22222−2−20000−2−2−2−222222i−2i00−2i2i0000000000−i2i2i2−i2000000
χ2822-2-22-2-222-202000-20022−2−2-2-22222−2−20000−2−2−2−22222−2i2i002i−2i0000000000i2−i2−i2i2000000
χ2922-2-22-2-222-202000-200−2−22222-2-2−2−2220000−2−2−2−222222i−2i002i−2i0000000000−i2i2−i2i2000000
χ3022-2-22-2-222-202000-200−2−22222-2-2−2−2220000−2−2−2−22222−2i2i00−2i2i0000000000i2−i2i2−i2000000
χ3122-2-22-2-222-202000-200−2−222-2-222−2−22200002222−2−2−2−22i−2i00−2i2i0000000000i2−i2−i2i2000000
χ3222-2-22-2-222-202000-200−2−222-2-222−2−22200002222−2−2−2−2−2i2i002i−2i0000000000−i2i2i2−i2000000
χ332-2-2-2222-2222-2-22-2-2-2200002i−2i2i−2i00002i2i−2i−2i00000000000000002-200002i−2i0000000000
χ342-2-2-2222-2222-2-22-2-2-2200002i−2i2i−2i00002i2i−2i−2i0000000000000000-220000−2i2i0000000000
χ352-2-2-2222-2222-2-22-2-2-220000−2i2i−2i2i0000−2i−2i2i2i00000000000000002-20000−2i2i0000000000
χ362-2-2-2222-2222-2-22-2-2-220000−2i2i−2i2i0000−2i−2i2i2i0000000000000000-2200002i−2i0000000000
χ372-2-2-2222-222-2-22-22-22-200002i−2i2i−2i0000−2i−2i2i2i00000000002-2002-20000000000002i−2i0000
χ382-2-2-2222-222-2-22-22-22-200002i−2i2i−2i0000−2i−2i2i2i0000000000-2200-22000000000000−2i2i0000
χ392-2-2-2222-222-2-22-22-22-20000−2i2i−2i2i00002i2i−2i−2i00000000002-2002-2000000000000−2i2i0000
χ402-2-2-2222-222-2-22-22-22-20000−2i2i−2i2i00002i2i−2i−2i0000000000-2200-220000000000002i−2i0000
χ412-2-2-2222-2-2-2-222-222-22000000000000000022-2-222-2-2002-200-22000000000000002-200
χ422-2-2-2222-2-2-2-222-222-22000000000000000022-2-222-2-200-22002-200000000000000-2200
χ432-2-2-2222-2-2-2-222-222-220000000000000000-2-222-2-222002-200-2200000000000000-2200
χ442-2-2-2222-2-2-2-222-222-220000000000000000-2-222-2-22200-22002-2000000000000002-200
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000000
χ46444-4-44-4-400404-4-4000000000000000000022−2222−2222−2222−2200000000000000000000000000
χ47444-4-44-4-400404-4-40000000000000000000−2222−2222−2222−222200000000000000000000000000
χ48444-4-44-4-400-40-4440004i−4i4i−4i0000000000000000000000000000000000000000000000
χ49444-4-44-4-400-40-444000−4i4i−4i4i0000000000000000000000000000000000000000000000
χ5044-44-4-44-400000000002i2−2i2−2i22i2000000002i2−2i22i2−2i22-22-2-22-2200000000000000000000000000
χ5144-44-4-44-400000000002i2−2i2−2i22i200000000−2i22i2−2i22i2-22-222-22-200000000000000000000000000
χ5244-44-4-44-40000000000−2i22i22i2−2i2000000002i2−2i22i2−2i2-22-222-22-200000000000000000000000000
χ5344-44-4-44-40000000000−2i22i22i2−2i200000000−2i22i2−2i22i22-22-2-22-2200000000000000000000000000
χ5444-4-44-4-44-440-40004002222−22−220000−22−22222200000000000000000000000000000000000000
χ5544-4-44-4-44-440-4000400−22−22222200002222−22−2200000000000000000000000000000000000000
χ564-4444-4-4-44-40-400040000004i−4i−4i4i000000000000000000000000000000000000000000
χ574-4444-4-4-44-40-40004000000−4i4i4i−4i000000000000000000000000000000000000000000
χ584-4444-4-4-4-4404000-40000000000000000002222−22−22−22−22222200000000000000000000000000
χ594-4444-4-4-4-4404000-4000000000000000000−22−2222222222−22−2200000000000000000000000000
χ604-44-4-4-44400000000000000000022−2222−2222−22−22222-2-22-222-200000000000000000000000000
χ614-44-4-4-44400000000000000000022−2222−22−222222−22-222-22-2-2200000000000000000000000000
χ624-44-4-4-444000000000000000000−2222−222222−22−2222-222-22-2-2200000000000000000000000000
χ634-44-4-4-444000000000000000000−2222−2222−222222−222-2-22-222-200000000000000000000000000
χ644-4-44-44-440040-4-44000000000004-4-4400000000000000000000000000000000000000
χ654-4-44-44-440040-4-4400000000000-444-400000000000000000000000000000000000000
χ664-4-44-44-4400-4044-4000000000000000000022−22−222222−22−222200000000000000000000000000
χ674-4-44-44-4400-4044-40000000000000000000−222222−22−222222−2200000000000000000000000000
χ684-4-4-4444-4-4-444-44-444-400000000000000000000000000000000000000000000000000

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