Finite Group Databasebeta

← Group #495997

Character table — Group #495997

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1122222224444888888881616112222222444488888888161611222222244448888888816161122222224444888888881616
order122448888448824881616161644444448888448844881616161644222448888448824881616161644444448888448844881616161644
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-1
χ31111111111111-1-1-1-11111-1-11111111111111-1-1-1-11111-1-11111111111111-1-1-1-11111-1-11111111111111-1-1-1-11111-1-1
χ41111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-111
χ511111-1-111-1-11-111-1-111-1-11-111111-1-111-1-11-111-1-111-1-11-111111-1-111-1-11-111-1-111-1-11-111111-1-111-1-11-111-1-111-1-11-1
χ611111-1-111-1-11-111-1-1-1-111-1111111-1-111-1-11-111-1-1-1-111-1111111-1-111-1-11-111-1-1-1-111-1111111-1-111-1-11-111-1-1-1-111-11
χ711111-1-111-1-11-1-1-11111-1-1-1111111-1-111-1-11-1-1-11111-1-1-1111111-1-111-1-11-1-1-11111-1-1-1111111-1-111-1-11-1-1-11111-1-1-11
χ811111-1-111-1-11-1-1-111-1-1111-111111-1-111-1-11-1-1-111-1-1111-111111-1-111-1-11-1-1-111-1-1111-111111-1-111-1-11-1-1-111-1-1111-1
χ92222222-2-2-2-2-2200000000002222222-2-2-2-2-2200000000002222222-2-2-2-2-2200000000002222222-2-2-2-2-220000000000
χ1022222-2-2-2-222-2-2000000000022222-2-2-2-222-2-2000000000022222-2-2-2-222-2-2000000000022222-2-2-2-222-2-20000000000
χ1122-22-2002200-20002i−2i00000022-22-2002200-20002i−2i00000022-22-2002200-20002i−2i00000022-22-2002200-20002i−2i000000
χ1222-22-2002200-2000−2i2i00000022-22-2002200-2000−2i2i00000022-22-2002200-2000−2i2i00000022-22-2002200-2000−2i2i000000
χ1322-22-200-2-200202-20000000022-22-200-2-200202-20000000022-22-200-2-200202-20000000022-22-200-2-200202-200000000
χ1422-22-200-2-20020-220000000022-22-200-2-20020-220000000022-22-200-2-20020-220000000022-22-200-2-20020-2200000000
χ1522-2-222200000-20000i2−i2i2−i20022-2-222200000-20000i2−i2i2−i20022-2-222200000-20000i2−i2i2−i20022-2-222200000-20000i2−i2i2−i200
χ1622-2-222200000-20000−i2i2−i2i20022-2-222200000-20000−i2i2−i2i20022-2-222200000-20000−i2i2−i2i20022-2-222200000-20000−i2i2−i2i200
χ1722-2-22-2-20000020000i2−i2−i2i20022-2-22-2-20000020000i2−i2−i2i20022-2-22-2-20000020000i2−i2−i2i20022-2-22-2-20000020000i2−i2−i2i200
χ1822-2-22-2-20000020000−i2i2i2−i20022-2-22-2-20000020000−i2i2i2−i20022-2-22-2-20000020000−i2i2i2−i20022-2-22-2-20000020000−i2i2i2−i200
χ19444-4-4000000000000000000444-4-4000000000000000000444-4-4000000000000000000444-4-4000000000000000000
χ204-40002i2−2i22i2−2i22-20000000000004-40002i2−2i22i2−2i22-20000000000004-40002i2−2i22i2−2i22-20000000000004-40002i2−2i22i2−2i22-2000000000000
χ214-40002i2−2i2−2i22i2-220000000000004-40002i2−2i2−2i22i2-220000000000004-40002i2−2i2−2i22i2-220000000000004-40002i2−2i2−2i22i2-22000000000000
χ224-4000−2i22i22i2−2i2-220000000000004-4000−2i22i22i2−2i2-220000000000004-4000−2i22i22i2−2i2-220000000000004-4000−2i22i22i2−2i2-22000000000000
χ234-4000−2i22i2−2i22i22-20000000000004-4000−2i22i2−2i22i22-20000000000004-4000−2i22i2−2i22i22-20000000000004-4000−2i22i2−2i22i22-2000000000000
χ2411111111111111111111111iiiiiiiiiiiiiiiiiiiiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ2511111111111111111-1-1-1-1-1-1iiiiiiiiiiiiiiiii−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiii
χ261111111111111-1-1-1-11111-1-1iiiiiiiiiiiii−i−i−i−iiiii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−iii
χ271111111111111-1-1-1-1-1-1-1-111iiiiiiiiiiiii−i−i−i−i−i−i−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i
χ2811111-1-111-1-11-111-1-111-1-11-1iiiii−i−iii−i−ii−iii−i−iii−i−ii−i-1-1-1-1-111-1-111-11-1-111-1-111-11−i−i−i−i−iii−i−iii−ii−i−iii−i−iii−ii
χ2911111-1-111-1-11-111-1-1-1-111-11iiiii−i−iii−i−ii−iii−i−i−i−iii−ii-1-1-1-1-111-1-111-11-1-11111-1-11-1−i−i−i−i−iii−i−iii−ii−i−iiiii−i−ii−i
χ3011111-1-111-1-11-1-1-11111-1-1-11iiiii−i−iii−i−ii−i−i−iiiii−i−i−ii-1-1-1-1-111-1-111-1111-1-1-1-1111-1−i−i−i−i−iii−i−iii−iiii−i−i−i−iiii−i
χ3111111-1-111-1-11-1-1-111-1-1111-1iiiii−i−iii−i−ii−i−i−iii−i−iiii−i-1-1-1-1-111-1-111-1111-1-111-1-1-11−i−i−i−i−iii−i−iii−iiii−i−iii−i−i−ii
χ322222222-2-2-2-2-2200000000002i2i2i2i2i2i2i−2i−2i−2i−2i−2i2i0000000000-2-2-2-2-2-2-222222-20000000000−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i−2i0000000000
χ3322222-2-2-2-222-2-200000000002i2i2i2i2i−2i−2i−2i−2i2i2i−2i−2i0000000000-2-2-2-2-22222-2-2220000000000−2i−2i−2i−2i−2i2i2i2i2i−2i−2i2i2i0000000000
χ3422-22-2002200-20002i−2i0000002i2i−2i2i−2i002i2i00−2i000-22000000-2-22-2200-2-2002000−2i2i000000−2i−2i2i−2i2i00−2i−2i002i0002-2000000
χ3522-22-2002200-2000−2i2i0000002i2i−2i2i−2i002i2i00−2i0002-2000000-2-22-2200-2-20020002i−2i000000−2i−2i2i−2i2i00−2i−2i002i000-22000000
χ3622-22-200-2-200202-2000000002i2i−2i2i−2i00−2i−2i002i02i−2i00000000-2-22-22002200-20-2200000000−2i−2i2i−2i2i002i2i00−2i0−2i2i00000000
χ3722-22-200-2-20020-22000000002i2i−2i2i−2i00−2i−2i002i0−2i2i00000000-2-22-22002200-202-200000000−2i−2i2i−2i2i002i2i00−2i02i−2i00000000
χ3822-2-222200000-20000i2−i2i2−i2002i2i−2i−2i2i2i2i00000−2i0000−22−2200-2-222-2-2-20000020000−i2i2−i2i200−2i−2i2i2i−2i−2i−2i000002i00002−22−200
χ3922-2-222200000-20000−i2i2−i2i2002i2i−2i−2i2i2i2i00000−2i00002−22−200-2-222-2-2-20000020000i2−i2i2−i200−2i−2i2i2i−2i−2i−2i000002i0000−22−2200
χ4022-2-22-2-20000020000i2−i2−i2i2002i2i−2i−2i2i−2i−2i000002i0000−222−200-2-222-22200000-20000−i2i2i2−i200−2i−2i2i2i−2i2i2i00000−2i00002−2−2200
χ4122-2-22-2-20000020000−i2i2i2−i2002i2i−2i−2i2i−2i−2i000002i00002−2−2200-2-222-22200000-20000i2−i2−i2i200−2i−2i2i2i−2i2i2i00000−2i0000−222−200
χ42444-4-40000000000000000004i4i4i−4i−4i000000000000000000-4-4-444000000000000000000−4i−4i−4i4i4i000000000000000000
χ434-40002i2−2i22i2−2i22-20000000000004i−4i000−2222−22222i−2i000000000000-44000−2i22i2−2i22i2-22000000000000−4i4i00022−2222−22−2i2i000000000000
χ444-40002i2−2i2−2i22i2-220000000000004i−4i000−222222−22−2i2i000000000000-44000−2i22i22i2−2i22-2000000000000−4i4i00022−22−22222i−2i000000000000
χ454-4000−2i22i22i2−2i2-220000000000004i−4i00022−22−2222−2i2i000000000000-440002i2−2i2−2i22i22-2000000000000−4i4i000−222222−222i−2i000000000000
χ464-4000−2i22i2−2i22i22-20000000000004i−4i00022−2222−222i−2i000000000000-440002i2−2i22i2−2i2-22000000000000−4i4i000−2222−2222−2i2i000000000000
χ4711111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4811111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ491111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ501111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ5111111-1-111-1-11-111-1-111-1-11-1-1-1-1-1-111-1-111-11-1-111-1-111-1111111-1-111-1-11-111-1-111-1-11-1-1-1-1-1-111-1-111-11-1-111-1-111-11
χ5211111-1-111-1-11-111-1-1-1-111-11-1-1-1-1-111-1-111-11-1-11111-1-11-111111-1-111-1-11-111-1-1-1-111-11-1-1-1-1-111-1-111-11-1-11111-1-11-1
χ5311111-1-111-1-11-1-1-11111-1-1-11-1-1-1-1-111-1-111-1111-1-1-1-1111-111111-1-111-1-11-1-1-11111-1-1-11-1-1-1-1-111-1-111-1111-1-1-1-1111-1
χ5411111-1-111-1-11-1-1-111-1-1111-1-1-1-1-1-111-1-111-1111-1-111-1-1-1111111-1-111-1-11-1-1-111-1-1111-1-1-1-1-1-111-1-111-1111-1-111-1-1-11
χ552222222-2-2-2-2-220000000000-2-2-2-2-2-2-222222-200000000002222222-2-2-2-2-220000000000-2-2-2-2-2-2-222222-20000000000
χ5622222-2-2-2-222-2-20000000000-2-2-2-2-22222-2-222000000000022222-2-2-2-222-2-20000000000-2-2-2-2-22222-2-2220000000000
χ5722-22-2002200-20002i−2i000000-2-22-2200-2-2002000−2i2i00000022-22-2002200-20002i−2i000000-2-22-2200-2-2002000−2i2i000000
χ5822-22-2002200-2000−2i2i000000-2-22-2200-2-20020002i−2i00000022-22-2002200-2000−2i2i000000-2-22-2200-2-20020002i−2i000000
χ5922-22-200-2-200202-200000000-2-22-22002200-20-220000000022-22-200-2-200202-200000000-2-22-22002200-20-2200000000
χ6022-22-200-2-20020-2200000000-2-22-22002200-202-20000000022-22-200-2-20020-2200000000-2-22-22002200-202-200000000
χ6122-2-222200000-20000i2−i2i2−i200-2-222-2-2-20000020000−i2i2−i2i20022-2-222200000-20000i2−i2i2−i200-2-222-2-2-20000020000−i2i2−i2i200
χ6222-2-222200000-20000−i2i2−i2i200-2-222-2-2-20000020000i2−i2i2−i20022-2-222200000-20000−i2i2−i2i200-2-222-2-2-20000020000i2−i2i2−i200
χ6322-2-22-2-20000020000i2−i2−i2i200-2-222-22200000-20000−i2i2i2−i20022-2-22-2-20000020000i2−i2−i2i200-2-222-22200000-20000−i2i2i2−i200
χ6422-2-22-2-20000020000−i2i2i2−i200-2-222-22200000-20000i2−i2−i2i20022-2-22-2-20000020000−i2i2i2−i200-2-222-22200000-20000i2−i2−i2i200
χ65444-4-4000000000000000000-4-4-444000000000000000000444-4-4000000000000000000-4-4-444000000000000000000
χ664-40002i2−2i22i2−2i22-2000000000000-44000−2i22i2−2i22i2-220000000000004-40002i2−2i22i2−2i22-2000000000000-44000−2i22i2−2i22i2-22000000000000
χ674-40002i2−2i2−2i22i2-22000000000000-44000−2i22i22i2−2i22-20000000000004-40002i2−2i2−2i22i2-22000000000000-44000−2i22i22i2−2i22-2000000000000
χ684-4000−2i22i22i2−2i2-22000000000000-440002i2−2i2−2i22i22-20000000000004-4000−2i22i22i2−2i2-22000000000000-440002i2−2i2−2i22i22-2000000000000
χ694-4000−2i22i2−2i22i22-2000000000000-440002i2−2i22i2−2i2-220000000000004-4000−2i22i2−2i22i22-2000000000000-440002i2−2i22i2−2i2-22000000000000
χ7011111111111111111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiii
χ7111111111111111111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111iiiiiiiiiiiiiiiii−i−i−i−i−i−i
χ721111111111111-1-1-1-11111-1-1−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111iiiiiiiiiiiii−i−i−i−iiiii−i−i
χ731111111111111-1-1-1-1-1-1-1-111−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1iiiiiiiiiiiii−i−i−i−i−i−i−i−iii
χ7411111-1-111-1-11-111-1-111-1-11-1−i−i−i−i−iii−i−iii−ii−i−iii−i−iii−ii-1-1-1-1-111-1-111-11-1-111-1-111-11iiiii−i−iii−i−ii−iii−i−iii−i−ii−i
χ7511111-1-111-1-11-111-1-1-1-111-11−i−i−i−i−iii−i−iii−ii−i−iiiii−i−ii−i-1-1-1-1-111-1-111-11-1-11111-1-11-1iiiii−i−iii−i−ii−iii−i−i−i−iii−ii
χ7611111-1-111-1-11-1-1-11111-1-1-11−i−i−i−i−iii−i−iii−iiii−i−i−i−iiii−i-1-1-1-1-111-1-111-1111-1-1-1-1111-1iiiii−i−iii−i−ii−i−i−iiiii−i−i−ii
χ7711111-1-111-1-11-1-1-111-1-1111-1−i−i−i−i−iii−i−iii−iiii−i−iii−i−i−ii-1-1-1-1-111-1-111-1111-1-111-1-1-11iiiii−i−iii−i−ii−i−i−iii−i−iiii−i
χ782222222-2-2-2-2-220000000000−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i−2i0000000000-2-2-2-2-2-2-222222-200000000002i2i2i2i2i2i2i−2i−2i−2i−2i−2i2i0000000000
χ7922222-2-2-2-222-2-20000000000−2i−2i−2i−2i−2i2i2i2i2i−2i−2i2i2i0000000000-2-2-2-2-22222-2-22200000000002i2i2i2i2i−2i−2i−2i−2i2i2i−2i−2i0000000000
χ8022-22-2002200-20002i−2i000000−2i−2i2i−2i2i00−2i−2i002i0002-2000000-2-22-2200-2-2002000−2i2i0000002i2i−2i2i−2i002i2i00−2i000-22000000
χ8122-22-2002200-2000−2i2i000000−2i−2i2i−2i2i00−2i−2i002i000-22000000-2-22-2200-2-20020002i−2i0000002i2i−2i2i−2i002i2i00−2i0002-2000000
χ8222-22-200-2-200202-200000000−2i−2i2i−2i2i002i2i00−2i0−2i2i00000000-2-22-22002200-20-22000000002i2i−2i2i−2i00−2i−2i002i02i−2i00000000
χ8322-22-200-2-20020-2200000000−2i−2i2i−2i2i002i2i00−2i02i−2i00000000-2-22-22002200-202-2000000002i2i−2i2i−2i00−2i−2i002i0−2i2i00000000
χ8422-2-222200000-20000i2−i2i2−i200−2i−2i2i2i−2i−2i−2i000002i00002−22−200-2-222-2-2-20000020000−i2i2−i2i2002i2i−2i−2i2i2i2i00000−2i0000−22−2200
χ8522-2-222200000-20000−i2i2−i2i200−2i−2i2i2i−2i−2i−2i000002i0000−22−2200-2-222-2-2-20000020000i2−i2i2−i2002i2i−2i−2i2i2i2i00000−2i00002−22−200
χ8622-2-22-2-20000020000i2−i2−i2i200−2i−2i2i2i−2i2i2i00000−2i00002−2−2200-2-222-22200000-20000−i2i2i2−i2002i2i−2i−2i2i−2i−2i000002i0000−222−200
χ8722-2-22-2-20000020000−i2i2i2−i200−2i−2i2i2i−2i2i2i00000−2i0000−222−200-2-222-22200000-20000i2−i2−i2i2002i2i−2i−2i2i−2i−2i000002i00002−2−2200
χ88444-4-4000000000000000000−4i−4i−4i4i4i000000000000000000-4-4-4440000000000000000004i4i4i−4i−4i000000000000000000
χ894-40002i2−2i22i2−2i22-2000000000000−4i4i00022−2222−22−2i2i000000000000-44000−2i22i2−2i22i2-220000000000004i−4i000−2222−22222i−2i000000000000
χ904-40002i2−2i2−2i22i2-22000000000000−4i4i00022−22−22222i−2i000000000000-44000−2i22i22i2−2i22-20000000000004i−4i000−222222−22−2i2i000000000000
χ914-4000−2i22i22i2−2i2-22000000000000−4i4i000−222222−222i−2i000000000000-440002i2−2i2−2i22i22-20000000000004i−4i00022−22−2222−2i2i000000000000
χ924-4000−2i22i2−2i22i22-2000000000000−4i4i000−2222−2222−2i2i000000000000-440002i2−2i22i2−2i2-220000000000004i−4i00022−2222−222i−2i000000000000

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