Finite Group Databasebeta

← Group #284366

Character table — Group #284366

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888224444888888888888882444444488888824
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1111111-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111111111111111111-11-1-1-1-1-1-1-111-1-1-1-1
χ411111111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ51111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-11-11-1-111111-1-1-1-1-11
χ61111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1-111111-1
χ71111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1111-1
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-111-1-1-11111-1-1-11
χ911111111111111111-1-1-1-1111111111-1-11111-1-1-1-1111111-11-1-1-11-1-111-1-111-1-1
χ1011111111111111111-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-111-1-111
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-111-111-1-1-1-1-1-111
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1111-111111111-1-1
χ1311111111111111111-1-1-1-11-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1111-1-11111-1-11-1
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111-11111-1-1-1-1-1-111-11
χ1511111111111111111-1-1-1-11-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-11-1-1-1-111-1-11111-11
χ1611111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111111-1-1-11111-1-1-1-11-1
χ172222222222-2-2-222-2-20000-2222222220000-2-200000000000-2000-20000000000
χ182222222222-2-2-222-2-20000-22222-2-2-2-20000-2-200000000000200020000000000
χ192222222222-2-2-222-2-20000-2-2-2-2-222-2-2000022000000000002000-20000000000
χ202222222222-2-2-222-2-20000-2-2-2-2-2-2-22200002200000000000-200020000000000
χ2122222222-2-2222-2-22-22222-200000000-2-222000000-2-20000-2020000000000000
χ2222222222-2-2222-2-22-22222-200000000-2-2-2-200000022000020-20000000000000
χ2322222222-2-2222-2-22-2-2-2-2-2-2000000002222000000-2-2000020-20000000000000
χ2422222222-2-2222-2-22-2-2-2-2-2-20000000022-2-2000000220000-2020000000000000
χ2522-222-2-2-22-20002-2000000022-2-22-22-200i2−i2000000i2−i2i2i2−i2−i200000000i2−i200i2−i200
χ2622-222-2-2-22-20002-2000000022-2-22-22-200−i2i2000000−i2i2−i2−i2i2i200000000−i2i200−i2i200
χ2722-222-2-2-22-20002-2000000022-2-2-22-2200i2−i2000000i2−i2i2i2−i2−i200000000−i2i200−i2i200
χ2822-222-2-2-22-20002-2000000022-2-2-22-2200−i2i2000000−i2i2−i2−i2i2i200000000i2−i200i2−i200
χ2922-222-2-2-22-20002-20000000-2-2222-2-2200i2−i2000000i2−i2−i2−i2i2i200000000i2−i200−i2i200
χ3022-222-2-2-22-20002-20000000-2-2222-2-2200−i2i2000000−i2i2i2i2−i2−i200000000−i2i200i2−i200
χ3122-222-2-2-22-20002-20000000-2-222-222-200i2−i2000000i2−i2−i2−i2i2i200000000−i2i200i2−i200
χ3222-222-2-2-22-20002-20000000-2-222-222-200−i2i2000000−i2i2i2i2−i2−i200000000i2−i200−i2i200
χ332-2-22-2-222222-22-2-2-2-2000022i−2i2i−2i000000002i−2i00000000000002i−2i02-200000000
χ342-2-22-2-222222-22-2-2-2-2000022i−2i2i−2i000000002i−2i0000000000000−2i2i0-2200000000
χ352-2-22-2-222222-22-2-2-2-200002−2i2i−2i2i00000000−2i2i00000000000002i−2i0-2200000000
χ362-2-22-2-222222-22-2-2-2-200002−2i2i−2i2i00000000−2i2i0000000000000−2i2i02-200000000
χ372-2-22-2-22222-22-2-2-22222-2-2-22i−2i2i−2i00002-200−2i2i2i2i−2i−2i0000000000000000000000
χ382-2-22-2-22222-22-2-2-22222-2-2-2−2i2i−2i2i00002-2002i−2i−2i−2i2i2i0000000000000000000000
χ392-2-22-2-22222-22-2-2-222-2-222-22i−2i2i−2i0000-2200−2i2i−2i−2i2i2i0000000000000000000000
χ402-2-22-2-22222-22-2-2-222-2-222-2−2i2i−2i2i0000-22002i−2i2i2i−2i−2i0000000000000000000000
χ412-2-22-2-222-2-2-22-2222-222-2-2200000000-2200000000002-22-200000000002-20000
χ422-2-22-2-222-2-2-22-2222-222-2-2200000000-220000000000-22-220000000000-220000
χ432-2-22-2-222-2-2-22-2222-2-2-2222000000002-200000000002-22-20000000000-220000
χ442-2-22-2-222-2-2-22-2222-2-2-2222000000002-20000000000-22-2200000000002-20000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000
χ46444-4-4-44-4004-4-4004000000000000000000002i2−2i22i2−2i20000000000000000000000
χ47444-4-4-44-4004-4-400400000000000000000000−2i22i2−2i22i20000000000000000000000
χ48444-4-4-44-400-44400-404i−4i4i−4i00000000000000000000000000000000000000000
χ49444-4-4-44-400-44400-40−4i4i−4i4i00000000000000000000000000000000000000000
χ5044-444-4-4-4-44000-44000000000000000002i2−2i2000000−2i22i200000000000000000000
χ5144-444-4-4-4-44000-4400000000000000000−2i22i20000002i2−2i200000000000000000000
χ524-444-44-4-44-4000-4400000004i−4i−4i4i000000000000000000000000000000000000
χ534-444-44-4-44-4000-440000000−4i4i4i−4i000000000000000000000000000000000000
χ544-444-44-4-4-440004-40000000000000000000000000002i2−2i2−2i22i20000000000000000
χ554-444-44-4-4-440004-4000000000000000000000000000−2i22i22i2−2i20000000000000000
χ564-4-44-4-444-4-44-4444-440000-40000000000000000000000000000000000000000
χ574-4-4-4444-40044-400-404i−4i−4i4i00000000000000000000000000000000000000000
χ584-4-4-4444-40044-400-40−4i4i4i−4i00000000000000000000000000000000000000000
χ594-4-4-4444-400-4-440040000000000000000000022−22−22220000000000000000000000
χ604-4-4-4444-400-4-4400400000000000000000000−222222−220000000000000000000000
χ6188-8-8-88-88000000000000000000000000000000000000000000000000000000
χ628-88-88-8-88000000000000000000000000000000000000000000000000000000

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