Finite Group Databasebeta

← Group #346750

Character table — Group #346750

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244448888888888888888888888888888888888816161616161616163232
order12222222444444444444222222244444444444444444444888888888888888824
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-11-1-1-1-1-1-111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111-1-1-1-11111111-1-1-1-11-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1
χ6111111111111111111111-1-1-1-11111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ91111111111111111-1-111-111-1-11111-1-1-11111-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ101111111111111111-1-111-111-1-11111-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-11
χ111111111111111111-1-111-111-1-1-1-1-1-1-111-1-1-1-1-111-1-11111111111-1-1-1-111-1-1-1-111-11
χ121111111111111111-1-111-111-1-1-1-1-1-1-111-1-1-1-1-111-1-1111111-1-1-1-11111-1-11111-1-11-1
χ131111111111111111-1-111-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-1-11
χ141111111111111111-1-111-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1111-1
χ151111111111111111-1-111-1-1-111-1-1-1-1-1111111-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1111-1
χ161111111111111111-1-111-1-1-111-1-1-1-1-1111111-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-11
χ172222222222-2-222-2-222-2-2222-2-20000-2000000-2-2-222000000000000000000000000
χ182222222222-2-222-2-222-2-22-2-2220000-2000000-222-2-2000000000000000000000000
χ192222222222-2-222-2-2-2-2-2-2-22222000020000002-2-2-2-2000000000000000000000000
χ202222222222-2-222-2-2-2-2-2-2-2-2-2-2-20000200000022222000000000000000000000000
χ2122222222-2-222-2-22222-2-2-2000022-2-22-2-20000-20000220000000000000000000000
χ2222222222-2-222-2-22222-2-2-20000-2-2222220000-20000-2-20000000000000000000000
χ2322222222-2-222-2-222-2-2-2-22000022-2-2-222000020000-2-20000000000000000000000
χ2422222222-2-222-2-222-2-2-2-220000-2-222-2-2-2000020000220000000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-200000000-20022-2-2200000022-2-2000000000000000000
χ2622222222-2-2-2-2-2-2-2-22222-200000000-200-2-2222000000-2-222000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22220000000020022-2-2-2000000-2-222000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-222200000000200-2-222-200000022-2-2000000000000000000
χ292-2-2-22-2222-22-22-22-2002-20002-2000002-22-22-20002-22-20000000000000000000000
χ302-2-2-22-2222-22-22-22-2002-20002-200000-22-22-220002-2-220000000000000000000000
χ312-2-2-22-2222-22-22-22-2002-2000-22000002-2-22-22000-222-20000000000000000000000
χ322-2-2-22-2222-22-22-22-2002-2000-2200000-222-22-2000-22-220000000000000000000000
χ332-2-2-22-2222-2-222-2-2200-220002-22-22-20000000000-22002-22-2000000000000000000
χ342-2-2-22-2222-2-222-2-2200-220002-2-22-220000000000-2200-22-22000000000000000000
χ352-2-2-22-2222-2-222-2-2200-22000-222-22-200000000002-200-22-22000000000000000000
χ362-2-2-22-2222-2-222-2-2200-22000-22-22-2200000000002-2002-22-2000000000000000000
χ372-2-2-22-222-222-2-222-200-2202-200000002-2000002-200-222-2-22000000000000000000
χ382-2-2-22-222-222-2-222-200-2202-20000000-22000002-2002-2-222-2000000000000000000
χ392-2-2-22-222-222-2-222-200-220-2200000002-200000-2200-22-222-2000000000000000000
χ402-2-2-22-222-222-2-222-200-220-220000000-2200000-22002-22-2-22000000000000000000
χ412-2-2-22-222-22-22-22-22002-202-2002-2-220002-2-220-2200000000000000000000000000
χ422-2-2-22-222-22-22-22-22002-202-200-222-2000-222-20-2200000000000000000000000000
χ432-2-2-22-222-22-22-22-22002-20-22002-2-22000-222-202-200000000000000000000000000
χ442-2-2-22-222-22-22-22-22002-20-2200-222-20002-2-2202-200000000000000000000000000
χ45444-44-4-4-44400-4-40000000000000000000000000000000000000000022−2200000000
χ46444-44-4-4-44400-4-400000000000000000000000000000000000000000−222200000000
χ47444-44-4-4-4-4-4004400000000000000000000000000000000000000000002i2−2i2000000
χ48444-44-4-4-4-4-400440000000000000000000000000000000000000000000−2i22i2000000
χ4944-44-4-44-4000000004i−4i0000000000000000000000000000022-2-22i2i−2i−2i0000000000
χ5044-44-4-44-4000000004i−4i00000000000000000000000000000-2-222−2i−2i2i2i0000000000
χ5144-44-4-44-400000000−4i4i0000000000000000000000000000022-2-2−2i−2i2i2i0000000000
χ5244-44-4-44-400000000−4i4i00000000000000000000000000000-2-2222i2i−2i−2i0000000000
χ5344-4-4-44-44004-400-4400000000000000000000000000000000000000000000022−2200
χ5444-4-4-44-44004-400-44000000000000000000000000000000000000000000000−222200
χ5544-4-4-44-4400-44004-4000000000000000000000000000000000000000000022−220000
χ5644-4-4-44-4400-44004-40000000000000000000000000000000000000000000−22220000
χ574-444-4-4-44004400-4-400000000000000000000000000000002i2−2i22i2−2i200000000000000
χ584-444-4-4-44004400-4-40000000000000000000000000000000−2i22i2−2i22i200000000000000
χ594-444-4-4-4400-4-400440000000000000000000000000000000000022−2222−220000000000
χ604-444-4-4-4400-4-4004400000000000000000000000000000000000−2222−22220000000000
χ614-4-4444-4-44-400-4400000000000000000000000000000000000002i2−2i2−2i22i20000000000
χ624-4-4444-4-44-400-440000000000000000000000000000000000000−2i22i22i2−2i20000000000
χ634-4-4444-4-4-44004-40000000000000000000000000000000002i2−2i2−2i22i200000000000000
χ644-4-4444-4-4-44004-4000000000000000000000000000000000−2i22i22i2−2i200000000000000
χ658-88-8-888-8000000000000000000000000000000000000000000000000000000000

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