Finite Group Databasebeta

← Group #264124

Character table — Group #264124

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888222244888888888888882224444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11111-1-1-1-111-11111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-111111111111111-1-11-1-1-1-11-1-1-1-111-1-1
χ41111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-111111-1-1-1-11-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-111-1-1-11111-11
χ71111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1111-11-1-11-1-111-1-1-11
χ81111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1-111-1-1111-1
χ911111111111111111-1-1-1-111111-1-11111111111-1-1-1-11111-1-1-111-1-1-11111-1-1-1-1
χ1011111111111111111-1-1-1-111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-11111
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-111-1-1-1-1-1-1-111
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111111-1-1
χ1311111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-11-1-1-1-111-1-111-11
χ1411111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-11-1-111-1-11-1
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111-1-1-111111-1
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-11-1111111-1-1-1-1-11
χ17222222222-2-222-22-2-22222-20000-2-200000022-2-2000000000020000-200000000
χ18222222222-2-222-22-2-22222-20000-2-2000000-2-2220000000000-20000200000000
χ19222222222-2-222-22-2-2-2-2-2-2-200002200000022-2-20000000000-20000200000000
χ20222222222-2-222-22-2-2-2-2-2-2-2000022000000-2-222000000000020000-200000000
χ2122222222-222-2-22-22-20000-22222002222-2-2000000000000000-2-200000000000
χ2222222222-222-2-22-22-20000-2222200-2-2-2-2-2-20000000000000002200000000000
χ2322222222-222-2-22-22-20000-2-2-2-2-20022-2-222000000000000000-2200000000000
χ2422222222-222-2-22-22-20000-2-2-2-2-200-2-222220000000000000002-200000000000
χ2522-2-2-2-22202-200-20200000022-2-2002-22-2002−22−2000022−2−2000000002−22−20000
χ2622-2-2-2-22202-200-20200000022-2-2002-22-200−22−220000−2−22200000000−22−220000
χ2722-2-2-2-22202-200-20200000022-2-200-22-22002−22−2000022−2−200000000−22−220000
χ2822-2-2-2-22202-200-20200000022-2-200-22-2200−22−220000−2−222000000002−22−20000
χ2922-2-2-2-22202-200-202000000-2-222002-2-22002−22−20000−2−222000000002−2−220000
χ3022-2-2-2-22202-200-202000000-2-222002-2-2200−22−22000022−2−200000000−222−20000
χ3122-2-2-2-22202-200-202000000-2-22200-222-2002−22−20000−2−22200000000−222−20000
χ3222-2-2-2-22202-200-202000000-2-22200-222-200−22−22000022−2−2000000002−2−220000
χ332-2-2-222-222-2-2-2-222220000-22-22-20000002-20000000000002-20002-2000000000
χ342-2-2-222-222-2-2-2-222220000-22-22-20000002-2000000000000-22000-22000000000
χ352-2-2-222-222-2-2-2-222220000-2-22-22000000-220000000000002-2000-22000000000
χ362-2-2-222-222-2-2-2-222220000-2-22-22000000-22000000000000-220002-2000000000
χ372-2-2-222-22-22222-2-2-2222-2-2-200002-2000000000000002i−2i2i−2i0000000000002i−2i00
χ382-2-2-222-22-22222-2-2-2222-2-2-200002-200000000000000−2i2i−2i2i000000000000−2i2i00
χ392-2-2-222-22-22222-2-2-22-2-222-20000-22000000000000002i−2i2i−2i000000000000−2i2i00
χ402-2-2-222-22-22222-2-2-22-2-222-20000-2200000000000000−2i2i−2i2i0000000000002i−2i00
χ412-2-2-222-22-2-2-2222-22-222-2-222-22-2-220000-22000022-2-200000000000000000000
χ422-2-2-222-22-2-2-2222-22-222-2-22-22-22-2200002-20000-2-22200000000000000000000
χ432-2-2-222-22-2-2-2222-22-2-2-22222-22-22-20000-220000-2-22200000000000000000000
χ442-2-2-222-22-2-2-2222-22-2-2-2222-22-222-200002-2000022-2-200000000000000000000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000
χ46444-44-4-4-44004-40-40000000000000000000000022−2222−2200000000000000000000
χ47444-44-4-4-44004-40-400000000000000000000000−2222−222200000000000000000000
χ48444-44-4-4-4-400-4404004i−4i4i−4i00000000000000000000000000000000000000000
χ49444-44-4-4-4-400-440400−4i4i−4i4i00000000000000000000000000000000000000000
χ5044-4-4-4-4440-440040-400000000000000000022−22−2222000000000000000000000000
χ5144-4-4-4-4440-440040-4000000000000000000−222222−22000000000000000000000000
χ524-444-4-4-4404-40040-4000000000000000000000000002i2−2i2−2i22i20000000000000000
χ534-444-4-4-4404-40040-400000000000000000000000000−2i22i22i2−2i20000000000000000
χ544-444-4-4-440-4400-4040000004-4-44000000000000000000000000000000000000
χ554-444-4-4-440-4400-404000000-444-4000000000000000000000000000000000000
χ564-4-444-44-4400-440-4004i−4i−4i4i00000000000000000000000000000000000000000
χ574-4-444-44-4400-440-400−4i4i4i−4i00000000000000000000000000000000000000000
χ584-4-444-44-4-4004-4040000000000000000000000022−22−222200000000000000000000
χ594-4-444-44-4-4004-40400000000000000000000000−222222−2200000000000000000000
χ604-4-4-444-44444-4-4-44-4-4000040000000000000000000000000000000000000000
χ6188-88-88-8-8000000000000000000000000000000000000000000000000000000
χ628-88-8-888-8000000000000000000000000000000000000000000000000000000

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