Finite Group Databasebeta

← Group #11667226

Character table — Group #11667226

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222224444444446666668888888888888121212121216162424242411112222222244444444466666688888888888881212121212161624242424
order122222344666466888812124444442444121212121224242424488886122444222222644666466888812124444442444121212121224242424488886122444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1111111111111111111111111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1-1-11111111111111-1-1-1-1-111-1-1-1-1111111111111111111111-1-1-1-1-1-11111111111111-1-1-1-1-111-1-1-1-1
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-11111
χ5111111111111111-1-1-1-11111111111-1-11-1-1-1-1-1-1-1-11-1-1-1-11111-1-1111111111111111-1-1-1-11111111111-1-11-1-1-1-1-1-1-1-11-1-1-1-11111-1-1
χ6111111111111111-1-1-1-111111111-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111111111111111111-1-1-1-111111111-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111
χ7111111111111111-1-1-1-111-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-1-1111111-1-111111111111111111-1-1-1-111-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-1-1111111-1-111
χ8111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1-11111-1-111-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1-11111-1-111-1-1
χ91111-1-1111111-1-1-111-1-11111-1-1111-11-1-111-1-111-1-1-111-1-11-11-11-11111-1-1111111-1-1-111-1-11111-1-1111-11-1-111-1-111-1-1-111-1-11-11-11-1
χ101111-1-1111111-1-1-111-1-11111-1-111-11-11-1-1-11111-1-1-111-1-1-11-11-111111-1-1111111-1-1-111-1-11111-1-111-11-11-1-1-11111-1-1-111-1-1-11-11-11
χ111111-1-1111111-1-1-111-1-111-1-111-1-11-11-1-111-1-111-1-11-1-1111-1-11-111111-1-1111111-1-1-111-1-111-1-111-1-11-11-1-111-1-111-1-11-1-1111-1-11-11
χ121111-1-1111111-1-1-111-1-111-1-111-1-1-11-11-1-1-11111-1-11-1-111-111-11-11111-1-1111111-1-1-111-1-111-1-111-1-1-11-11-1-1-11111-1-11-1-111-111-11-1
χ131111-1-1111111-1-1-1-1-1111111-1-1111-1-11-1-1-111-1-111-1-1-1111-11-1-111111-1-1111111-1-1-1-1-1111111-1-1111-1-11-1-1-111-1-111-1-1-1111-11-1-11
χ141111-1-1111111-1-1-1-1-1111111-1-111-111-1-111-1-1-1-111-1-1-111-11-111-11111-1-1111111-1-1-1-1-1111111-1-111-111-1-111-1-1-1-111-1-1-111-11-111-1
χ151111-1-1111111-1-1-1-1-11111-1-111-1-11-1-11-1-1-111-1-111111-1-11-1-111-11111-1-1111111-1-1-1-1-11111-1-111-1-11-1-11-1-1-111-1-111111-1-11-1-111-1
χ161111-1-1111111-1-1-1-1-11111-1-111-1-1-111-1-111-1-1-1-111111-1-1-111-1-111111-1-1111111-1-1-1-1-11111-1-111-1-1-111-1-111-1-1-1-111111-1-1-111-1-11
χ172222222-2-2222-2220000-2-22222-2-20000-200000000-200000000002222222-2-2222-2220000-2-22222-2-20000-200000000-20000000000
χ182222222-2-2222-2220000-2-2-2-2-2-2220000-200000000200000000002222222-2-2222-2220000-2-2-2-2-2-2220000-20000000020000000000
χ19222222-122-1-1-12-1-12222-1-10000002222-1-1-1-1-1-1-1-1-100000-1-10000222222-122-1-1-12-1-12222-1-10000002222-1-1-1-1-1-1-1-1-100000-1-10000
χ20222222-122-1-1-12-1-12222-1-1000000-2-2-2-2-11111-1-1-1-100000110000222222-122-1-1-12-1-12222-1-1000000-2-2-2-2-11111-1-1-1-100000110000
χ21222222-122-1-1-12-1-1-2-2-2-2-1-100000022-2-2-11111111100000-1-10000222222-122-1-1-12-1-1-2-2-2-2-1-100000022-2-2-11111111100000-1-10000
χ22222222-122-1-1-12-1-1-2-2-2-2-1-1000000-2-222-1-1-1-1-1111100000110000222222-122-1-1-12-1-1-2-2-2-2-1-1000000-2-222-1-1-1-1-1111100000110000
χ232222-2-22-2-22222-2-20000-2-222-2-2-2-20000200000000200000000002222-2-22-2-22222-2-20000-2-222-2-2-2-2000020000000020000000000
χ242222-2-22-2-22222-2-20000-2-2-2-222220000200000000-200000000002222-2-22-2-22222-2-20000-2-2-2-222220000200000000-20000000000
χ252222-2-2-122-1-1-1-21122-2-2-1-10000002-22-21-1-111-1-11100000-1100002222-2-2-122-1-1-1-21122-2-2-1-10000002-22-21-1-111-1-11100000-110000
χ262222-2-2-122-1-1-1-21122-2-2-1-1000000-22-22111-1-1-1-111000001-100002222-2-2-122-1-1-1-21122-2-2-1-1000000-22-22111-1-1-1-111000001-10000
χ272222-2-2-122-1-1-1-211-2-222-1-10000002-2-22111-1-111-1-100000-1100002222-2-2-122-1-1-1-211-2-222-1-10000002-2-22111-1-111-1-100000-110000
χ282222-2-2-122-1-1-1-211-2-222-1-1000000-222-21-1-11111-1-1000001-100002222-2-2-122-1-1-1-211-2-222-1-1000000-222-21-1-11111-1-1000001-10000
χ292-22-22-22002-2-202-2−i2i2−i2i2002-22-200000000000−i2i2−i2i20−i2i2−i2i20000002-22-22-22002-2-202-2−i2i2−i2i2002-22-200000000000−i2i2−i2i20−i2i2−i2i2000000
χ302-22-22-22002-2-202-2−i2i2−i2i200-22-2200000000000−i2i2−i2i20i2−i2i2−i20000002-22-22-22002-2-202-2−i2i2−i2i200-22-2200000000000−i2i2−i2i20i2−i2i2−i2000000
χ312-22-22-22002-2-202-2i2−i2i2−i2002-22-200000000000i2−i2i2−i20i2−i2i2−i20000002-22-22-22002-2-202-2i2−i2i2−i2002-22-200000000000i2−i2i2−i20i2−i2i2−i2000000
χ322-22-22-22002-2-202-2i2−i2i2−i200-22-2200000000000i2−i2i2−i20−i2i2−i2i20000002-22-22-22002-2-202-2i2−i2i2−i200-22-2200000000000i2−i2i2−i20−i2i2−i2i2000000
χ332-22-2-222002-2-20-22−i2i2i2−i2002-2-2200000000000−i2i2i2−i20−i2i2i2−i20000002-22-2-222002-2-20-22−i2i2i2−i2002-2-2200000000000−i2i2i2−i20−i2i2i2−i2000000
χ342-22-2-222002-2-20-22−i2i2i2−i200-222-200000000000−i2i2i2−i20i2−i2−i2i20000002-22-2-222002-2-20-22−i2i2i2−i200-222-200000000000−i2i2i2−i20i2−i2−i2i2000000
χ352-22-2-222002-2-20-22i2−i2−i2i2002-2-2200000000000i2−i2−i2i20i2−i2−i2i20000002-22-2-222002-2-20-22i2−i2−i2i2002-2-2200000000000i2−i2−i2i20i2−i2−i2i2000000
χ362-22-2-222002-2-20-22i2−i2−i2i200-222-200000000000i2−i2−i2i20−i2i2i2−i20000002-22-2-222002-2-20-22i2−i2−i2i200-222-200000000000i2−i2−i2i20−i2i2i2−i2000000
χ37444444-2-4-4-2-2-2-4-2-2000022000000000020000000000000000000444444-2-4-4-2-2-2-4-2-2000022000000000020000000000000000000
χ384444-4-4-2-4-4-2-2-24220000220000000000-200000000000000000004444-4-4-2-4-4-2-2-24220000220000000000-20000000000000000000
χ3944-4-40044-4-44-400000004-400000000000000000000000000000044-4-40044-4-44-400000004-4000000000000000000000000000000
χ4044-4-4004-44-44-40000000-4400000000000000000000000000000044-4-4004-44-44-40000000-44000000000000000000000000000000
χ4144-4-400-24-42-220000000-22000000000000023−2300000000000000044-4-400-24-42-220000000-22000000000000023−23000000000000000
χ4244-4-400-24-42-220000000-220000000000000−232300000000000000044-4-400-24-42-220000000-220000000000000−2323000000000000000
χ4344-4-400-2-442-2200000002-20000000000023−230000000000000000044-4-400-2-442-2200000002-20000000000023−2300000000000000000
χ4444-4-400-2-442-2200000002-200000000000−23230000000000000000044-4-400-2-442-2200000002-200000000000−232300000000000000000
χ454-44-44-4-200-2220-22−2i22i2−2i22i200000000000000000i2−i2i2−i2000000000004-44-44-4-200-2220-22−2i22i2−2i22i200000000000000000i2−i2i2−i200000000000
χ464-44-44-4-200-2220-222i2−2i22i2−2i200000000000000000−i2i2−i2i2000000000004-44-44-4-200-2220-222i2−2i22i2−2i200000000000000000−i2i2−i2i200000000000
χ474-44-4-44-200-22202-2−2i22i22i2−2i200000000000000000i2−i2−i2i2000000000004-44-4-44-200-22202-2−2i22i22i2−2i200000000000000000i2−i2−i2i200000000000
χ484-44-4-44-200-22202-22i2−2i2−2i22i200000000000000000−i2i2i2−i2000000000004-44-4-44-200-22202-22i2−2i2−2i22i200000000000000000−i2i2i2−i200000000000
χ494-4-4400400-4-4400000000000004-40000000000000000000000004-4-4400400-4-4400000000000004-4000000000000000000000000
χ504-4-4400400-4-440000000000000-440000000000000000000000004-4-4400400-4-440000000000000-44000000000000000000000000
χ518-8-8800-40044-40000000000000000000000000000000000000008-8-8800-40044-4000000000000000000000000000000000000000
χ52111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ53111111111111111111111111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1-1-1-1-1111111
χ54111111111111111111111-1-1-1-1-1-11111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111
χ55111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-11111-1-1-1-11111111-1-1-1-1
χ56111111111111111-1-1-1-11111111111-1-11-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-111111111-11111-1-1-1-111
χ57111111111111111-1-1-1-111111111-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-111111111-1-1
χ58111111111111111-1-1-1-111-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-111-1111111111-1-1-1-1-1-111-1-1
χ59111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-111111-1-1-1-111-1-111
χ601111-1-1111111-1-1-111-1-11111-1-1111-11-1-111-1-111-1-1-111-1-11-11-11-1-1-1-1-111-1-1-1-1-1-1111-1-111-1-1-1-111-1-1-11-111-1-111-1-1111-1-111-11-11-11
χ611111-1-1111111-1-1-111-1-11111-1-111-11-11-1-1-11111-1-1-111-1-1-11-11-11-1-1-1-111-1-1-1-1-1-1111-1-111-1-1-1-111-1-11-11-1111-1-1-1-1111-1-1111-11-11-1
χ621111-1-1111111-1-1-111-1-111-1-111-1-11-11-1-111-1-111-1-11-1-1111-1-11-11-1-1-1-111-1-1-1-1-1-1111-1-111-1-111-1-111-11-111-1-111-1-111-111-1-1-111-11-1
χ631111-1-1111111-1-1-111-1-111-1-111-1-1-11-11-1-1-11111-1-11-1-111-111-11-1-1-1-1-111-1-1-1-1-1-1111-1-111-1-111-1-1111-11-1111-1-1-1-111-111-1-11-1-11-11
χ641111-1-1111111-1-1-1-1-1111111-1-1111-1-11-1-1-111-1-111-1-1-1111-11-1-11-1-1-1-111-1-1-1-1-1-111111-1-1-1-1-1-111-1-1-111-1111-1-111-1-1111-1-1-11-111-1
χ651111-1-1111111-1-1-1-1-1111111-1-111-111-1-111-1-1-1-111-1-1-111-11-111-1-1-1-1-111-1-1-1-1-1-111111-1-1-1-1-1-111-1-11-1-111-1-11111-1-1111-1-11-11-1-11
χ661111-1-1111111-1-1-1-1-11111-1-111-1-11-1-11-1-1-111-1-111111-1-11-1-111-1-1-1-1-111-1-1-1-1-1-111111-1-1-1-111-1-111-111-1111-1-111-1-1-1-1-111-111-1-11
χ671111-1-1111111-1-1-1-1-11111-1-111-1-1-111-1-111-1-1-1-111111-1-1-111-1-11-1-1-1-111-1-1-1-1-1-111111-1-1-1-111-1-1111-1-111-1-11111-1-1-1-1-1111-1-111-1
χ682222222-2-2222-2220000-2-22222-2-20000-200000000-20000000000-2-2-2-2-2-2-222-2-2-22-2-2000022-2-2-2-222000020000000020000000000
χ692222222-2-2222-2220000-2-2-2-2-2-2220000-20000000020000000000-2-2-2-2-2-2-222-2-2-22-2-20000222222-2-20000200000000-20000000000
χ70222222-122-1-1-12-1-12222-1-10000002222-1-1-1-1-1-1-1-1-100000-1-10000-2-2-2-2-2-21-2-2111-211-2-2-2-211000000-2-2-2-211111111100000110000
χ71222222-122-1-1-12-1-12222-1-1000000-2-2-2-2-11111-1-1-1-100000110000-2-2-2-2-2-21-2-2111-211-2-2-2-21100000022221-1-1-1-1111100000-1-10000
χ72222222-122-1-1-12-1-1-2-2-2-2-1-100000022-2-2-11111111100000-1-10000-2-2-2-2-2-21-2-2111-211222211000000-2-2221-1-1-1-1-1-1-1-100000110000
χ73222222-122-1-1-12-1-1-2-2-2-2-1-1000000-2-222-1-1-1-1-1111100000110000-2-2-2-2-2-21-2-2111-21122221100000022-2-211111-1-1-1-100000-1-10000
χ742222-2-22-2-22222-2-20000-2-222-2-2-2-2000020000000020000000000-2-2-2-222-222-2-2-2-222000022-2-222220000-200000000-20000000000
χ752222-2-22-2-22222-2-20000-2-2-2-222220000200000000-20000000000-2-2-2-222-222-2-2-2-22200002222-2-2-2-20000-20000000020000000000
χ762222-2-2-122-1-1-1-21122-2-2-1-10000002-22-21-1-111-1-11100000-110000-2-2-2-2221-2-21112-1-1-2-22211000000-22-22-111-1-111-1-1000001-10000
χ772222-2-2-122-1-1-1-21122-2-2-1-1000000-22-22111-1-1-1-111000001-10000-2-2-2-2221-2-21112-1-1-2-222110000002-22-2-1-1-11111-1-100000-110000
χ782222-2-2-122-1-1-1-211-2-222-1-10000002-2-22111-1-111-1-100000-110000-2-2-2-2221-2-21112-1-122-2-211000000-222-2-1-1-111-1-111000001-10000
χ792222-2-2-122-1-1-1-211-2-222-1-1000000-222-21-1-11111-1-1000001-10000-2-2-2-2221-2-21112-1-122-2-2110000002-2-22-111-1-1-1-11100000-110000
χ802-22-22-22002-2-202-2−i2i2−i2i2002-22-200000000000−i2i2−i2i20−i2i2−i2i2000000-22-22-22-200-2220-22i2−i2i2−i200-22-2200000000000i2−i2i2−i20i2−i2i2−i2000000
χ812-22-22-22002-2-202-2−i2i2−i2i200-22-2200000000000−i2i2−i2i20i2−i2i2−i2000000-22-22-22-200-2220-22i2−i2i2−i2002-22-200000000000i2−i2i2−i20−i2i2−i2i2000000
χ822-22-22-22002-2-202-2i2−i2i2−i2002-22-200000000000i2−i2i2−i20i2−i2i2−i2000000-22-22-22-200-2220-22−i2i2−i2i200-22-2200000000000−i2i2−i2i20−i2i2−i2i2000000
χ832-22-22-22002-2-202-2i2−i2i2−i200-22-2200000000000i2−i2i2−i20−i2i2−i2i2000000-22-22-22-200-2220-22−i2i2−i2i2002-22-200000000000−i2i2−i2i20i2−i2i2−i2000000
χ842-22-2-222002-2-20-22−i2i2i2−i2002-2-2200000000000−i2i2i2−i20−i2i2i2−i2000000-22-222-2-200-22202-2i2−i2−i2i200-222-200000000000i2−i2−i2i20i2−i2−i2i2000000
χ852-22-2-222002-2-20-22−i2i2i2−i200-222-200000000000−i2i2i2−i20i2−i2−i2i2000000-22-222-2-200-22202-2i2−i2−i2i2002-2-2200000000000i2−i2−i2i20−i2i2i2−i2000000
χ862-22-2-222002-2-20-22i2−i2−i2i2002-2-2200000000000i2−i2−i2i20i2−i2−i2i2000000-22-222-2-200-22202-2−i2i2i2−i200-222-200000000000−i2i2i2−i20−i2i2i2−i2000000
χ872-22-2-222002-2-20-22i2−i2−i2i200-222-200000000000i2−i2−i2i20−i2i2i2−i2000000-22-222-2-200-22202-2−i2i2i2−i2002-2-2200000000000−i2i2i2−i20i2−i2−i2i2000000
χ88444444-2-4-4-2-2-2-4-2-2000022000000000020000000000000000000-4-4-4-4-4-42442224220000-2-20000000000-20000000000000000000
χ894444-4-4-2-4-4-2-2-24220000220000000000-20000000000000000000-4-4-4-444244222-4-2-20000-2-2000000000020000000000000000000
χ9044-4-40044-4-44-400000004-4000000000000000000000000000000-4-44400-4-444-440000000-44000000000000000000000000000000
χ9144-4-4004-44-44-40000000-44000000000000000000000000000000-4-44400-44-44-4400000004-4000000000000000000000000000000
χ9244-4-400-24-42-220000000-22000000000000023−23000000000000000-4-444002-44-22-200000002-20000000000000−2323000000000000000
χ9344-4-400-24-42-220000000-220000000000000−2323000000000000000-4-444002-44-22-200000002-2000000000000023−23000000000000000
χ9444-4-400-2-442-2200000002-20000000000023−2300000000000000000-4-4440024-4-22-20000000-2200000000000−232300000000000000000
χ9544-4-400-2-442-2200000002-200000000000−232300000000000000000-4-4440024-4-22-20000000-220000000000023−2300000000000000000
χ964-44-44-4-200-2220-22−2i22i2−2i22i200000000000000000i2−i2i2−i200000000000-44-44-442002-2-202-22i2−2i22i2−2i200000000000000000−i2i2−i2i200000000000
χ974-44-44-4-200-2220-222i2−2i22i2−2i200000000000000000−i2i2−i2i200000000000-44-44-442002-2-202-2−2i22i2−2i22i200000000000000000i2−i2i2−i200000000000
χ984-44-4-44-200-22202-2−2i22i22i2−2i200000000000000000i2−i2−i2i200000000000-44-444-42002-2-20-222i2−2i2−2i22i200000000000000000−i2i2i2−i200000000000
χ994-44-4-44-200-22202-22i2−2i2−2i22i200000000000000000−i2i2i2−i200000000000-44-444-42002-2-20-22−2i22i22i2−2i200000000000000000i2−i2−i2i200000000000
χ1004-4-4400400-4-4400000000000004-4000000000000000000000000-444-400-40044-40000000000000-44000000000000000000000000
χ1014-4-4400400-4-440000000000000-44000000000000000000000000-444-400-40044-400000000000004-4000000000000000000000000
χ1028-8-8800-40044-4000000000000000000000000000000000000000-888-800400-4-44000000000000000000000000000000000000000

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