Finite Group Databasebeta

← Group #13168313

Character table — Group #13168313

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size11112222222222222222224444444444444444444444446666666666666666666666668888888888999912121212121212121212121212121212121212121212121212121818181818181818181824242424242424243636363672727272108108
order1222333446666666661212121233366666666612121212121212121212121244444444121212121212121212121212121212123666121212121212222244121212121212121212121212121212121212121212121212446666121212121212121212121212224466121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-11-11-1-1-1
χ4111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1111
χ51111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-11-11-11-11-1-1
χ61111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1
χ91111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-11-1
χ101111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-11-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-111-11
χ111111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-11-1-111-1-11-11
χ121111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-111-111-1-111-11-1
χ131111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-11111-1-1-111-1-111-1-11
χ141111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-1111-1-111-1-111-1
χ151111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111111-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1111-1
χ161111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1-11
χ17222222-1222222-1-1-122-1-1-1-12-1-12-1-12-1-1-1-122222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122220022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000000000000
χ18222222-1222222-1-1-122-1-1-1-12-1-12-1-12-1-1-1-122222-1-1-1-1-1-1-1-122-2-222-2-2-1-1-1-1-1-1-1-111111111-1-1-1-122-1-1-1-1-2-2-2-20022-2-222-2-2-1-1-1-1-1-1-1-111111111-2-211111111000000000000000000
χ19222222-1222222-1-1-122-1-1-1-12-1-12-1-12-1-1-1-122222-1-1-1-1-1-1-1-1-2-222-2-22211111111-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-200-2-222-2-22211111111-1-1-1-1-1-1-1-1-2-211111111000000000000000000
χ20222222-1222222-1-1-122-1-1-1-12-1-12-1-12-1-1-1-122222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111-1-1-1-122-1-1-1-1222200-2-2-2-2-2-2-2-2111111111111111122-1-1-1-1-1-1-1-1000000000000000000
χ21222222-1-2-22222-1-1-12211112-1-12-1-12-1-1-1-12-2-2-2-2111111112222-2-2-2-2-1-1-1-11111-1-1-1-11111-1-1-1-1-2-21111222200-2-2-2-22222-1-1-1-11111-1-1-1-11111-2-2-1-1-1-11111000000000000000000
χ22222222-1-2-22222-1-1-12211112-1-12-1-12-1-1-1-12-2-2-2-21111111122-2-2-2-222-1-1-1-111111111-1-1-1-1-1-1-1-1-2-21111-2-2-2-200-2-22222-2-2-1-1-1-111111111-1-1-1-1221111-1-1-1-1000000000000000000
χ23222222-1-2-22222-1-1-12211112-1-12-1-12-1-1-1-12-2-2-2-211111111-2-22222-2-21111-1-1-1-1-1-1-1-11111-1-1-1-1-2-21111-2-2-2-20022-2-2-2-2221111-1-1-1-1-1-1-1-11111221111-1-1-1-1000000000000000000
χ24222222-1-2-22222-1-1-12211112-1-12-1-12-1-1-1-12-2-2-2-211111111-2-2-2-222221111-1-1-1-11111-1-1-1-1-1-1-1-1-2-211112222002222-2-2-2-21111-1-1-1-11111-1-1-1-1-2-2-1-1-1-11111000000000000000000
χ2522222-12222-12-12222-12222-12-1-12-1-122-1-1-122-1-12222-1-1-1-1002200220000000022222222-1-1-1-1-1-1-1-1-1-100002200-1-100-1-100000000-1-1-1-1-1-1-1-100000000002-12-1-1-1-1-102020-10-100
χ2622222-12222-12-12222-12222-12-1-12-1-122-1-1-122-1-12222-1-1-1-1002200220000000022222222-1-1-1-1-1-1-1-1-1-10000-2-200-1-100-1-100000000-1-1-1-1-1-1-1-10000000000-21-2111110-20-2010100
χ2722222-12222-12-12222-12222-12-1-12-1-122-1-1-122-1-12222-1-1-1-100-2-200-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-100002200110011000000001111111100000000002-12-1-1-1-1-10-20-2010100
χ2822222-12222-12-12222-12222-12-1-12-1-122-1-1-122-1-12222-1-1-1-100-2-200-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-10000-2-20011001100000000111111110000000000-21-21111102020-10-100
χ2922222-12-2-22-12-12222-1-2-2-2-2-12-1-12-1-122-1-1-1-2-211-2-2-2-21111002200-2-2000000002222-2-2-2-2-1-1-1-111111100002-2001100-1-100000000-1-1-1-111110000000000-212-1-1-111020-20-10100
χ3022222-12-2-22-12-12222-1-2-2-2-2-12-1-12-1-122-1-1-1-2-211-2-2-2-21111002200-2-2000000002222-2-2-2-2-1-1-1-11111110000-22001100-1-100000000-1-1-1-1111100000000002-1-2111-1-10-202010-100
χ3122222-12-2-22-12-12222-1-2-2-2-2-12-1-12-1-122-1-1-1-2-211-2-2-2-2111100-2-2002200000000-2-2-2-22222-1-1-1-111111100002-200-1-10011000000001111-1-1-1-10000000000-212-1-1-1110-202010-100
χ3222222-12-2-22-12-12222-1-2-2-2-2-12-1-12-1-122-1-1-1-2-211-2-2-2-2111100-2-2002200000000-2-2-2-22222-1-1-1-11111110000-2200-1-10011000000001111-1-1-1-100000000002-1-2111-1-1020-20-10100
χ332222-12222-12-12222-122222-1-12-1-12-1-1-122-1-1-122-1-1-1-12222220022002222222200000000-1-1-1-1-1-1-1-1-1-1000022-1-100-1-100-1-1-1-1-1-1-1-1000000000000000000-12-12-1-1-1-12020-10-1000
χ342222-12222-12-12222-122222-1-12-1-12-1-1-122-1-1-122-1-1-1-12222220022002222222200000000-1-1-1-1-1-1-1-1-1-10000-2-2-1-100-1-100-1-1-1-1-1-1-1-10000000000000000001-21-21111-20-20101000
χ352222-12222-12-12222-122222-1-12-1-12-1-1-122-1-1-122-1-1-1-12222-2-200-2-200-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-10000221100110011111111000000000000000000-12-12-1-1-1-1-20-20101000
χ362222-12222-12-12222-122222-1-12-1-12-1-1-122-1-1-122-1-1-1-12222-2-200-2-200-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-10000-2-211001100111111110000000000000000001-21-211112020-10-1000
χ372222-122-2-2-12-12222-12-2-2-2-2-1-12-1-12-1-1-122-111-2-21111-2-2-2-22200-2-2002222-2-2-2-200000000-1-1-1-111111100002-21100-1-100-1-1-1-111110000000000000000001-2-12-1-11120-20-101000
χ382222-122-2-2-12-12222-12-2-2-2-2-1-12-1-12-1-1-122-111-2-21111-2-2-2-22200-2-2002222-2-2-2-200000000-1-1-1-11111110000-221100-1-100-1-1-1-11111000000000000000000-121-211-1-1-202010-1000
χ392222-122-2-2-12-12222-12-2-2-2-2-1-12-1-12-1-1-122-111-2-21111-2-2-2-2-2-2002200-2-2-2-2222200000000-1-1-1-111111100002-2-1-10011001111-1-1-1-10000000000000000001-2-12-1-111-202010-1000
χ402222-122-2-2-12-12222-12-2-2-2-2-1-12-1-12-1-1-122-111-2-21111-2-2-2-2-2-2002200-2-2-2-2222200000000-1-1-1-11111110000-22-1-10011001111-1-1-1-1000000000000000000-121-211-1-120-20-101000
χ4122-2-222200-2-2-2-22-2-22200002222-2-2-22-22-2-200000000000000002i−2i2i−2i00002i2i−2i−2i00002i2i−2i−2i22-2-200000022-2-2002i−2i2i−2i000000002i2i−2i−2i00002i2i−2i−2i0022-2-20000000000000000000000
χ4222-2-222200-2-2-2-22-2-22200002222-2-2-22-22-2-200000000000000002i−2i−2i2i00002i2i−2i−2i0000−2i−2i2i2i22-2-2000000-2-222002i−2i−2i2i000000002i2i−2i−2i0000−2i−2i2i2i00-2-2220000000000000000000000
χ4322-2-222200-2-2-2-22-2-22200002222-2-2-22-22-2-20000000000000000−2i2i2i−2i0000−2i−2i2i2i00002i2i−2i−2i22-2-2000000-2-22200−2i2i2i−2i00000000−2i−2i2i2i00002i2i−2i−2i00-2-2220000000000000000000000
χ4422-2-222200-2-2-2-22-2-22200002222-2-2-22-22-2-20000000000000000−2i2i−2i2i0000−2i−2i2i2i0000−2i−2i2i2i22-2-200000022-2-200−2i2i−2i2i00000000−2i−2i2i2i0000−2i−2i2i2i0022-2-20000000000000000000000
χ4522-2-222-100-2-2-2-2-1112233−3−32-1-1211-2-11-11-2000033−3−333−3−300002i−2i2i−2i−i3−i3i3i3−i−iii−i3−i3i3i3−i−iii-1-1110033−3−322-2-2002i−2i2i−2i0000−i3−i3i3i3−i−iii−i3−i3i3i3−i−iii00-1-11133−3−3000000000000000000
χ4622-2-222-100-2-2-2-2-1112233−3−32-1-1211-2-11-11-2000033−3−333−3−300002i−2i−2i2i−i3−i3i3i3−i−iiii3i3−i3−i3ii−i−i-1-1110033−3−3-2-222002i−2i−2i2i0000−i3−i3i3i3−i−iiii3i3−i3−i3ii−i−i0011-1-1−3−333000000000000000000
χ4722-2-222-100-2-2-2-2-1112233−3−32-1-1211-2-11-11-2000033−3−333−3−30000−2i2i2i−2ii3i3−i3−i3ii−i−i−i3−i3i3i3−i−iii-1-1110033−3−3-2-22200−2i2i2i−2i0000i3i3−i3−i3ii−i−i−i3−i3i3i3−i−iii0011-1-1−3−333000000000000000000
χ4822-2-222-100-2-2-2-2-1112233−3−32-1-1211-2-11-11-2000033−3−333−3−30000−2i2i−2i2ii3i3−i3−i3ii−i−ii3i3−i3−i3ii−i−i-1-1110033−3−322-2-200−2i2i−2i2i0000i3i3−i3−i3ii−i−ii3i3−i3−i3ii−i−i00-1-11133−3−3000000000000000000
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χ532-22-22222i−2i-2-222-22-2-2-22i−2i2i−2i222-2-2-22-22-22-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000002-22-22i−2i2i−2i2i−2i2-22-2000000000000000000000000002i−2i2-22-22i−2i2i−2i000000000000000000
χ542-22-22222i−2i-2-222-22-2-2-22i−2i2i−2i222-2-2-22-22-22-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000002-22-22i−2i2i−2i2i−2i-22-2200000000000000000000000000−2i2i-22-22−2i2i−2i2i000000000000000000
χ552-22-2222−2i2i-2-222-22-2-2-2−2i2i−2i2i222-2-2-22-22-22-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000002-22-2−2i2i−2i2i−2i2i2-22-200000000000000000000000000−2i2i2-22-2−2i2i−2i2i000000000000000000
χ562-22-2222−2i2i-2-222-22-2-2-2−2i2i−2i2i222-2-2-22-22-22-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000002-22-2−2i2i−2i2i−2i2i-22-22000000000000000000000000002i−2i-22-222i−2i2i−2i000000000000000000
χ572-22-222-12i−2i-2-2221-11-2-2−ii−ii2-1-1-21121-11-1-22i−2i2i−2i−ii−ii−ii−ii000000003−33−3−i3i3−i3i33−33−3−i3i3−i3i3-11-112i−2i−ii−ii2-22-200000000003−33−3−i3i3−i3i33−33−3−i3i3−i3i32i−2i-11-11−ii−ii000000000000000000
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χ1284-4-44-24-200-242-422-22-42i3−2i3−2i32i3-21-221-22-1-122-20000−i3i3i3−i32i3−2i3−2i32i3−4i4i0000002i−2i−2i2i−232323−23000000001-1-1100−i3i3i3−i300000000002i−2i00−iii−i3−3−33000000000000000000000000000000000000
χ1298888-4-4-488-4-4-4-4-4-4-4-4-4-4-4-4-4222222222222-4-4-4-422222222000000000000000000000000-1-1-1-122-1-1-1-10000000000000000000000000000000000000000000000000000000000
χ1308888-4-4-4-8-8-4-4-4-4-4-4-4-4-444442222222222224444-2-2-2-2-2-2-2-2000000000000000000000000-1-1-1-1-2-211110000000000000000000000000000000000000000000000000000000000
χ13188-8-8-4-480044448-8-8-4-400002-4-4244-2-44-44-200000000000000000000000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000000
χ13288-8-8-4-4-4004444-444-4-44343−43−432222-2-2-22-22-2-20000−23−232323−23−232323000000000000000000000000-1-1110033−3−30000000000000000000000000000000000000000000000000000000000
χ13388-8-8-4-4-4004444-444-4-4−43−4343432222-2-2-22-22-2-200002323−23−232323−23−23000000000000000000000000-1-11100−3−3330000000000000000000000000000000000000000000000000000000000
χ1348-88-8-4-4-48i−8i44-4-44-4444−4i4i−4i4i222-2-2-22-22-22-2−4i4i−4i4i2i−2i2i−2i2i−2i2i−2i000000000000000000000000-11-112i−2i−ii−ii0000000000000000000000000000000000000000000000000000000000
χ1358-88-8-4-4-4−8i8i44-4-44-44444i−4i4i−4i222-2-2-22-22-22-24i−4i4i−4i−2i2i−2i2i−2i2i−2i2i000000000000000000000000-11-11−2i2ii−ii−i0000000000000000000000000000000000000000000000000000000000
χ1368-8-88-4-4800-4-444-8-884400002-4-4-2-4-4-2444420000000000000000000000000000000000002-2-220000000000000000000000000000000000000000000000000000000000000000
χ1378-8-88-4-4-400-4-44444-444−4i34i34i3−4i3222-222-2-2-2-2-2200002i3−2i3−2i32i32i3−2i3−2i32i3000000000000000000000000-111-100−i3i3i3−i30000000000000000000000000000000000000000000000000000000000
χ1388-8-88-4-4-400-4-44444-4444i3−4i3−4i34i3222-222-2-2-2-2-220000−2i32i32i3−2i3−2i32i32i3−2i3000000000000000000000000-111-100i3−i3−i3i30000000000000000000000000000000000000000000000000000000000

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