Finite Group Databasebeta

← Group #10696218

Character table — Group #10696218

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111222222224444444444444448888888888888816161616161616161616161624242424484848484848
order122234444666244441212121212121212121268888122424242424242424888824242424242424242244244488
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111
χ51111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-11-11-1-1
χ61111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-11-111
χ71111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111
χ81111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1
χ9222222222222-2-2-22-2222222-2-2-2-2-222-2-2-22222-2-2-2-20000000000000000000000
χ10222222222222-2-2-22-2222222-2-2-2-2-2-2-222-2-2-2-2-222220000000000000000000000
χ112222222-2-222222-2-2-222-2-2-2-2-2-2-2-220000200000000000000000000000000002i−2i
χ122222222-2-222222-2-2-222-2-2-2-2-2-2-2-22000020000000000000000000000000000−2i2i
χ132222222-2-2222-2-22-2222-2-2-2-22222-20000-2000000000000000000000000020-200
χ142222222-2-2222-2-22-2222-2-2-2-22222-20000-20000000000000000000000000-20200
χ1522222-2-2222222-22-2-2-2-222-2-222-2-220000-200000000002-2000022-2-20000000000
χ1622222-2-2222222-22-2-2-2-222-2-222-2-220000-20000000000-220000-2-2220000000000
χ1722222-2-222222-22-2-22-2-222-2-2-2-222-200002000000002-20022-2-200000000000000
χ1822222-2-222222-22-2-22-2-222-2-2-2-222-20000200000000-2200-2-22200000000000000
χ1922222-2-2-2-22222-2-222-2-2-2-222-2-22220000-20000000000000000000022-2-2000000
χ2022222-2-2-2-22222-2-222-2-2-2-222-2-22220000-200000000000000000000-2-222000000
χ2122222-2-2-2-2222-2222-2-2-2-2-22222-2-2-20000200000000000000000000000020-2000
χ2222222-2-2-2-2222-2222-2-2-2-2-22222-2-2-200002000000000000000000000000-202000
χ232222-12222-1-1-122222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000
χ242222-12222-1-1-122222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000
χ252222-12222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-11111111122-2-2-1-1-1-111110000000000
χ262222-12222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-111111111-2-2221111-1-1-1-10000000000
χ272222-12222-1-1-1-2-2-22-2-1-1-1-1-1-11111122-2-21-1-1-1-1111100003−33−33−33−30000000000
χ282222-12222-1-1-1-2-2-22-2-1-1-1-1-1-11111122-2-21-1-1-1-111110000−33−33−33−330000000000
χ292222-12222-1-1-1-2-2-22-2-1-1-1-1-1-111111-2-22211111-1-1-1-100003−33−3−33−330000000000
χ302222-12222-1-1-1-2-2-22-2-1-1-1-1-1-111111-2-22211111-1-1-1-10000−33−333−33−30000000000
χ312222-1-2-222-1-1-12-22-2-211-1-111-1-111-10000133−3−333−3−3002-23−3−33-1-1110000000000
χ322222-1-2-222-1-1-12-22-2-211-1-111-1-111-10000133−3−333−3−300-22−333−311-1-10000000000
χ332222-1-2-222-1-1-12-22-2-211-1-111-1-111-100001−3−333−3−333002-2−333−3-1-1110000000000
χ342222-1-2-222-1-1-12-22-2-211-1-111-1-111-100001−3−333−3−33300-223−3−3311-1-10000000000
χ352222-1-2-222-1-1-1-22-2-2211-1-11111-1-110000-133−3−3−3−3332-200-1-111−333−30000000000
χ362222-1-2-222-1-1-1-22-2-2211-1-11111-1-110000-133−3−3−3−333-220011-1-13−3−330000000000
χ372222-1-2-222-1-1-1-22-2-2211-1-11111-1-110000-1−3−33333−3−32-200-1-1113−3−330000000000
χ382222-1-2-222-1-1-1-22-2-2211-1-11111-1-110000-1−3−33333−3−3-220011-1-1−333−30000000000
χ394444-244-4-4-2-2-244-4-4-4-2-222222222-20000-2000000000000000000000000000000
χ404444-244-4-4-2-2-2-4-44-44-2-22222-2-2-2-2200002000000000000000000000000000000
χ414444-2-4-4-4-4-2-2-24-4-4442222-2-222-2-2-200002000000000000000000000000000000
χ424444-2-4-4-4-4-2-2-2-4444-42222-2-2-2-22220000-2000000000000000000000000000000
χ434-44-44004i−4i4-4-400000004i−4i000000000000000000000000000000002-22i−2i000000
χ444-44-44004i−4i4-4-400000004i−4i00000000000000000000000000000000-22−2i2i000000
χ454-44-4400−4i4i4-4-40000000−4i4i000000000000000000000000000000002-2−2i2i000000
χ464-44-4400−4i4i4-4-40000000−4i4i00000000000000000000000000000000-222i−2i000000
χ474-4-4444-400-44-4000004-40000000000022−220000022−2222−220000000000000000000000
χ484-4-4444-400-44-4000004-400000000000−222200000−2222−22220000000000000000000000
χ494-4-444-4400-44-400000-4400000000022−2200022−2222−2200000000000000000000000000
χ504-4-444-4400-44-400000-44000000000−2222000−2222−222200000000000000000000000000
χ514-4-44-24-4002-2200000-22000023−2323−2300022−2206−6−66−22−220000000000000000000000
χ524-4-44-24-4002-2200000-22000023−2323−23000−22220−666−62−22−20000000000000000000000
χ534-4-44-24-4002-2200000-220000−2323−232300022−220−666−6−22−220000000000000000000000
χ544-4-44-24-4002-2200000-220000−2323−2323000−222206−6−662−22−20000000000000000000000
χ554-4-44-2-44002-22000002-2000023−23−2323022−22000−22−22−666−60000000000000000000000
χ564-4-44-2-44002-22000002-2000023−23−23230−22220002−22−26−6−660000000000000000000000
χ574-4-44-2-44002-22000002-20000−232323−23022−22000−22−226−6−660000000000000000000000
χ584-4-44-2-44002-22000002-20000−232323−230−22220002−22−2−666−60000000000000000000000
χ5988-8-880000-8-88000000000000000000000000000000000000000000000000000
χ6088-8-8-4000044-400000000043−430000000000000000000000000000000000000000
χ6188-8-8-4000044-4000000000−43430000000000000000000000000000000000000000
χ628-88-8-4008i−8i-4440000000−4i4i000000000000000000000000000000000000000000
χ638-88-8-400−8i8i-44400000004i−4i000000000000000000000000000000000000000000

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