Finite Group Databasebeta

← Group #13168343

Character table — Group #13168343

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size11112222222222222222224444444444444444444444446666666666666666666666668888888888999912121212121212121212121212121212121212121212121212121818181818181818181824242424242424243636363672727272108108
order122233344666666666121212123336666666661212121212121212121212122244444466661212121212121212121212123666121212121212444444666666121212121212121212121212121212121212441212121212121212121212121212121244441212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111-11-11-1-11-1-1
χ4111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-111
χ51111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-111-1-1-1
χ61111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-1111
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
χ91111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-111-111-111-1-1-11
χ101111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-111-1-11-1-11-1-1111-1
χ111111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-11-11-1-111-1-1111-11-11-1
χ121111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111-11-111-1-111-1-1-11-11-11
χ131111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-11111-11-11-1-11111-1-1-11-111-1
χ141111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-111111-11-111-1-1-1-1111-11-1-11
χ151111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1-11-11-1-1111-1-11-1-111-11
χ161111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-11-11-111-1-1-111-111-1-11-1
χ17222222-12222-12-1-1222-1-1-1-12-1-12-1-1-12-1-12-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122220022-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000000000000
χ18222222-12222-12-1-1222-1-1-1-12-1-12-1-1-12-1-12-12222-1-1-1-1-1-1-1-122-2-222-2-2-1-1-1-1-1-1-1-111111111-1-1-1-122-1-1-1-1-2-2-2-20022-1-1-1-1-2-2-2-22211111111-1-1-1-1-2-211111111000000000000000000
χ19222222-12222-12-1-1222-1-1-1-12-1-12-1-1-12-1-12-12222-1-1-1-1-1-1-1-1-2-222-2-22211111111-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-200-2-211112222-2-2-1-1-1-1-1-1-1-11111-2-211111111000000000000000000
χ20222222-12222-12-1-1222-1-1-1-12-1-12-1-1-12-1-12-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111-1-1-1-122-1-1-1-1222200-2-21111-2-2-2-2-2-211111111111122-1-1-1-1-1-1-1-1000000000000000000
χ21222222-1-2-222-12-1-122211112-1-12-1-1-12-1-12-1-2-2-2-2111111112222-2-2-2-2-1-1-1-11111-1-1-1-11111-1-1-1-1-2-2111122220022-1-1-1-122-2-2-2-2-1-1-1-111111111-2-2-1-1-1-11111000000000000000000
χ22222222-1-2-222-12-1-122211112-1-12-1-1-12-1-12-1-2-2-2-21111111122-2-2-2-222-1-1-1-111111111-1-1-1-1-1-1-1-1-2-21111-2-2-2-20022-1-1-1-1-2-222-2-21111-1-1-1-11111221111-1-1-1-1000000000000000000
χ23222222-1-2-222-12-1-122211112-1-12-1-1-12-1-12-1-2-2-2-211111111-2-22222-2-21111-1-1-1-1-1-1-1-11111-1-1-1-1-2-21111-2-2-2-200-2-2111122-2-222-1-1-1-11111-1-1-1-1221111-1-1-1-1000000000000000000
χ24222222-1-2-222-12-1-122211112-1-12-1-1-12-1-12-1-2-2-2-211111111-2-2-2-222221111-1-1-1-11111-1-1-1-1-1-1-1-1-2-21111222200-2-21111-2-222221111-1-1-1-1-1-1-1-1-2-2-1-1-1-11111000000000000000000
χ2522222-1222-122-12222-12222-12-1-1-1-12-122-1-122-1-12222-1-1-1-1220022002222222200000000-1-1-1-1-1-1-1-1-1-1000022-1-1-1-1-1-10000-1-100000000-1-1-1-10000000000-122-1-1-1-1-12020-100-100
χ2622222-1222-122-12222-12222-12-1-1-1-12-122-1-122-1-12222-1-1-1-1220022002222222200000000-1-1-1-1-1-1-1-1-1-10000-2-2-1-1-1-1-1-10000-1-100000000-1-1-1-100000000001-2-211111-20-20100100
χ2722222-1222-122-12222-12222-12-1-1-1-12-122-1-122-1-12222-1-1-1-1-2-200-2-200-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-10000221111110000110000000011110000000000-122-1-1-1-1-1-20-20100100
χ2822222-1222-122-12222-12222-12-1-1-1-12-122-1-122-1-12222-1-1-1-1-2-200-2-200-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-10000-2-211111100001100000000111100000000001-2-2111112020-100-100
χ2922222-12-2-2-122-12222-1-2-2-2-2-12-1-1-1-12-122-1-1-2-211-2-2-2-211112200-2-2002222-2-2-2-200000000-1-1-1-111111100002-2-1-1-1-1-1-1000011000000001111000000000012-2-111-1-1-2020-100100
χ3022222-12-2-2-122-12222-1-2-2-2-2-12-1-1-1-12-122-1-1-2-211-2-2-2-211112200-2-2002222-2-2-2-200000000-1-1-1-11111110000-22-1-1-1-1-1-10000110000000011110000000000-1-221-1-11120-20100-100
χ3122222-12-2-2-122-12222-1-2-2-2-2-12-1-1-1-12-122-1-1-2-211-2-2-2-21111-2-2002200-2-2-2-2222200000000-1-1-1-111111100002-21111110000-1-100000000-1-1-1-1000000000012-2-111-1-120-20100-100
χ3222222-12-2-2-122-12222-1-2-2-2-2-12-1-1-1-12-122-1-1-2-211-2-2-2-21111-2-2002200-2-2-2-2222200000000-1-1-1-11111110000-221111110000-1-100000000-1-1-1-10000000000-1-221-1-111-2020-100100
χ332222-122222-12222-1-122222-1-12-122-1-1-1-1-12-1-122-1-1-1-12222002200220000000022222222-1-1-1-1-1-1-1-1-1-1000022000000-1-1-1-100-1-1-1-1-1-1-1-1000000000000002-1-12-1-1-1-102020-1-1000
χ342222-122222-12222-1-122222-1-12-122-1-1-1-1-12-1-122-1-1-1-12222002200220000000022222222-1-1-1-1-1-1-1-1-1-10000-2-2000000-1-1-1-100-1-1-1-1-1-1-1-100000000000000-211-211110-20-2011000
χ352222-122222-12222-1-122222-1-12-122-1-1-1-1-12-1-122-1-1-1-1222200-2-200-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-100002200000011110011111111000000000000002-1-12-1-1-1-10-20-2011000
χ362222-122222-12222-1-122222-1-12-122-1-1-1-1-12-1-122-1-1-1-1222200-2-200-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-10000-2-20000001111001111111100000000000000-211-2111102020-1-1000
χ372222-122-2-22-12222-1-12-2-2-2-2-1-12-122-1-1-1-1-1211-2-21111-2-2-2-2002200-2-2000000002222-2-2-2-2-1-1-1-111111100002-2000000-1-11100-1-1-1-1111100000000000000-2-11211-1-1020-20-11000
χ382222-122-2-22-12222-1-12-2-2-2-2-1-12-122-1-1-1-1-1211-2-21111-2-2-2-2002200-2-2000000002222-2-2-2-2-1-1-1-11111110000-22000000-1-11100-1-1-1-111110000000000000021-1-2-1-1110-20201-1000
χ392222-122-2-22-12222-1-12-2-2-2-2-1-12-122-1-1-1-1-1211-2-21111-2-2-2-200-2-2002200000000-2-2-2-22222-1-1-1-111111100002-200000011-1-1001111-1-1-1-100000000000000-2-11211-1-10-20201-1000
χ402222-122-2-22-12222-1-12-2-2-2-2-1-12-122-1-1-1-1-1211-2-21111-2-2-2-200-2-2002200000000-2-2-2-22222-1-1-1-11111110000-2200000011-1-1001111-1-1-1-10000000000000021-1-2-1-111020-20-11000
χ4122-2-22220022-2-22-2-2-2-2000022222-2-2-22-2-2-20000000000002-22-2000022-2-2000022-2-2000022-2-200000022-2-2002-222-2-22-2000022-2-2000000000022-2-20000000000000000000000
χ4222-2-22220022-2-22-2-2-2-2000022222-2-2-22-2-2-20000000000002-2-22000022-2-20000-2-222000022-2-2000000-2-222002-222-2-2-220000-2-2220000000000-2-2220000000000000000000000
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χ4422-2-22220022-2-22-2-2-2-2000022222-2-2-22-2-2-2000000000000-22-220000-2-2220000-2-222000022-2-200000022-2-200-22-2-222-220000-2-222000000000022-2-20000000000000000000000
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χ4722-2-222-100221-2-11-2-2-233−3−32-1-12-111-2-11-21000033−3−333−3−3-222-2000011-1-1−3−333-1-11133−3−3-1-1110033−3−3-2-22200-2211-1-12-20000-1-11133−3−3−3−3330011-1-1−3−333000000000000000000
χ4822-2-222-100221-2-11-2-2-233−3−32-1-12-111-2-11-21000033−3−333−3−3-22-22000011-1-1−3−33311-1-1−3−333-1-1110033−3−322-2-200-2211-1-1-22000011-1-1−3−333−3−33300-1-11133−3−3000000000000000000
χ4922-2-222-100221-2-11-2-2-2−3−3332-1-12-111-2-11-210000−3−333−3−3332-22-20000-1-111−3−333-1-111−3−333-1-11100−3−33322-2-2002-2-1-1112-20000-1-111−3−333−3−33300-1-111−3−333000000000000000000
χ5022-2-222-100221-2-11-2-2-2−3−3332-1-12-111-2-11-210000−3−333−3−3332-2-220000-1-111−3−33311-1-133−3−3-1-11100−3−333-2-222002-2-1-111-22000011-1-133−3−3−3−3330011-1-133−3−3000000000000000000
χ5122-2-222-100221-2-11-2-2-2−3−3332-1-12-111-2-11-210000−3−333−3−333-222-2000011-1-133−3−3-1-111−3−333-1-11100−3−333-2-22200-2211-1-12-20000-1-111−3−33333−3−30011-1-133−3−3000000000000000000
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χ552-22-222200-2-22-2-2-22-220000222-2-2-22-2-2-2220000000000000000-222i−2i0000-22-2200002i−2i2i−2i2-2-22000000−2i2i−2i2i00000000002i−2i-2200002i−2i2i−2i-22-2200−2i2i−2i2i0000000000000000000000
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χ1378-8-88-4-4-48i−8i444-44-44-44−4i4i4i−4i222-2-22-22-22-2-2−4i4i−4i4i2i−2i−2i2i2i−2i−2i2i000000000000000000000000-11-112i−2i−iii−i0000000000000000000000000000000000000000000000000000000000
χ1388-8-88-4-4-4−8i8i444-44-44-444i−4i−4i4i222-2-22-22-22-2-24i−4i4i−4i−2i2i2i−2i−2i2i2i−2i000000000000000000000000-11-11−2i2ii−i−ii0000000000000000000000000000000000000000000000000000000000

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