Finite Group Databasebeta

← Group #13168277

Character table — Group #13168277

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222222244444444444444444444446666666666888888888888121212121212121212121212121212121212121212121212121212121218181818181824242424242424242424363636363636363636363654547272108
order122233344666666666333666666666121212121212121212122222441212121236661212121212121212244666666666666666612121212121212121212441212121266661212121212122444466121212124412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-111-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111111-1-111-1-1-1-111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111-1-11
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1-1-1111111-1-11
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111111-1-111-1
χ91111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1111111111111-1-11-111-1-1-11-11-1-1-111-1-1111-1-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1-11-1-11111-1-111111-1-1-1-1-111
χ111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-11111-1-11111-1-11111-1-111-1-1-1-1-1-111111111-1-11-111-1-1-1-11-11-1-1-1-111-1-1-111
χ121111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-111111-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-11-1-1111-111-111-1-111111-1-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111-111-1-11-111-111-1-111-1-11-11
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-111-1-1111111111111-1-111-11-1-111-1-11-11-1-1-1-11111-11-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-11111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-111-1-111111-1-111-11-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1111-1-11111-1-1111111-1-1-1-111-1-1-1-1111111-1-111-11-1-111-11-11-1-1-111-1-1-1-11-11
χ17222222-122222-1-12-122-12-1-1-122-1-1-12-122-1-12222222222000000-1-1-1-1-1-1-1-1-1-1-1-102200222200-1-1-1-1000000-1-1-1-1000022-1-1-1-1-1-1-1-122-1-1-1-120000-1-1000000000
χ18222222-122222-1-12-122-12-1-1-122-1-1-12-122-1-12222222222000000-1-1-1-1-1-1-1-1-1-1-1-10-2-200222200-1-1-1-100000011110000-2-21111-1-1-1-1-2-21111-2000011000000000
χ19222222-122222-1-12-122-12-1-1-122-1-1-12-122-1-1222222-2-2-2-2000000-1-1-1-1-1-1-1-1-1-1-1-102200-2-2-2-2001111000000-1-1-1-10000-2-21111111122-1-1-1-1-2000011000000000
χ20222222-122222-1-12-122-12-1-1-122-1-1-12-122-1-1222222-2-2-2-2000000-1-1-1-1-1-1-1-1-1-1-1-10-2-200-2-2-2-20011110000001111000022-1-1-1-11111-2-2111120000-1-1000000000
χ21222222-1-2-2222-1-12-122-12-1-1-122-1-1-12-1-2-211-2-2-2-2-2-222-2-2000000-1-1-1-11111111102-20022-2-200-1-111000000-1-111000022-1-1-1-1-1-1112-2-1-111-2000011000000000
χ22222222-1-2-2222-1-12-122-12-1-1-122-1-1-12-1-2-211-2-2-2-2-2-222-2-2000000-1-1-1-1111111110-220022-2-200-1-11100000011-1-10000-2-21111-1-111-2211-1-120000-1-1000000000
χ23222222-1-2-2222-1-12-122-12-1-1-122-1-1-12-1-2-211-2-2-2-2-2-2-2-222000000-1-1-1-11111111102-200-2-2220011-1-1000000-1-1110000-2-2111111-1-12-2-1-11120000-1-1000000000
χ24222222-1-2-2222-1-12-122-12-1-1-122-1-1-12-1-2-211-2-2-2-2-2-2-2-222000000-1-1-1-1111111110-2200-2-2220011-1-100000011-1-1000022-1-1-1-111-1-1-2211-1-1-2000011000000000
χ2522222-12222-1-122222-12-1-122-1-1-1-1-1-122222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-122-1-1-1-120022-1-1-1-1-1-12222-1-1-1-1220000-1-1-1-1000000-1-1-1-10000000220000-1-1-1-100000
χ2622222-12222-1-122222-12-1-122-1-1-1-1-1-122222-1-1-1-1-1-12222-2-21111-1-1-1-1-1-122-1-1-1-1-200-2-2-1-1-1-11122221111-2-200001111000000-1-1-1-10000000-2-20000111100000
χ2722222-12222-1-122222-12-1-122-1-1-1-1-1-122222-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-122-1-1-1-1200221111-1-1-2-2-2-2-1-1-1-1220000-1-1-1-100000011110000000-2-20000111100000
χ2822222-12222-1-122222-12-1-122-1-1-1-1-1-122222-1-1-1-1-1-1-2-2-2-2-2-21111-1-1-1-1-1-122-1-1-1-1-200-2-2111111-2-2-2-21111-2-20000111100000011110000000220000-1-1-1-100000
χ2922222-12-2-22-1-122222-12-1-122-1-1-1-1-1-12-2-2-2-211111122-2-222-1-1-1-1-1-1-1-111-2-21111-200-2-2-1-1111122-2-21111220000-1-1-1-1000000-1-11100000002-20000-1-11100000
χ3022222-12-2-22-1-122222-12-1-122-1-1-1-1-1-12-2-2-2-211111122-2-2-2-21111-1-1-1-111-2-2111120022-1-111-1-122-2-2-1-1-1-1-2-200001111000000-1-1110000000-22000011-1-100000
χ3122222-12-2-22-1-122222-12-1-122-1-1-1-1-1-12-2-2-2-2111111-2-22222-1-1-1-1-1-1-1-111-2-21111-200-2-211-1-111-2-2221111220000-1-1-1-100000011-1-10000000-22000011-1-100000
χ3222222-12-2-22-1-122222-12-1-122-1-1-1-1-1-12-2-2-2-2111111-2-222-2-21111-1-1-1-111-2-211112002211-1-1-1-1-2-222-1-1-1-1-2-20000111100000011-1-100000002-20000-1-11100000
χ332222-12222-12222-12-12-1-12-1-1-1-1222-1-1-1-12222-1-1-1-10000222222-1-1-1-122-1-1-1-1-1-1222-1-10000220000-1-1-1-1-1-12222-1-1-1-10000000000-1-1-1-1-1-10002200000000-1-10
χ342222-12222-12222-12-12-1-12-1-1-1-1222-1-1-1-12222-1-1-1-10000222222-1-1-1-122-1-1-1-1-1-12-2-2-1-10000220000-1-1-1-1-1-1-2-2-2-2-1-1-1-10000000000111111000-2-200000000110
χ352222-12222-12222-12-12-1-12-1-1-1-1222-1-1-1-12222-1-1-1-10000-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-1-222110000-2-20000111111222211110000000000-1-1-1-1-1-1000-2-200000000110
χ362222-12222-12222-12-12-1-12-1-1-1-1222-1-1-1-12222-1-1-1-10000-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-1-2-2-2110000-2-20000111111-2-2-2-2111100000000001111110002200000000-1-10
χ372222-122-2-2-12222-12-12-1-12-1-1-1-1222-1-111-2-2-2-211110000222222-1-1-1-1-2-2111111-22-2110000-2-200001111-1-122-2-2-1-1-1-10000000000-11-1-1110002-200000000-110
χ382222-122-2-2-12222-12-12-1-12-1-1-1-1222-1-111-2-2-2-211110000222222-1-1-1-1-2-2111111-2-22110000-2-200001111-1-1-2-222-1-1-1-100000000001-111-1-1000-22000000001-10
χ392222-122-2-2-12222-12-12-1-12-1-1-1-1222-1-111-2-2-2-211110000-2-2-2-2-2-2-1-1-1-1-2-211111122-2-1-10000220000-1-1-1-11122-2-211110000000000-11-1-111000-22000000001-10
χ402222-122-2-2-12222-12-12-1-12-1-1-1-1222-1-111-2-2-2-211110000-2-2-2-2-2-2-1-1-1-1-2-21111112-22-1-10000220000-1-1-1-111-2-222111100000000001-111-1-10002-200000000-110
χ412-22-22222-2-2-2-2-2-222-22222-2-2-2-2-2-22222-22-22-222-2-22-22-20000002-2-222-22-222-2-2000002-22-2002-22-2000000000000000000002-22-20000000000000000000000
χ422-22-22222-2-2-2-2-2-222-22222-2-2-2-2-2-22222-22-22-222-2-2-22-220000002-2-222-22-222-2-200000-22-2200-22-2200000000000000000000-22-220000000000000000000000
χ432-22-2222-22-2-2-2-2-222-22222-2-2-2-2-2-2222-22-22-22-2-2222-2-220000002-2-22-22-22-2-222000002-2-22002-2-22000000000000000000002-2-220000000000000000000000
χ442-22-2222-22-2-2-2-2-222-22222-2-2-2-2-2-2222-22-22-22-2-222-222-20000002-2-22-22-22-2-22200000-222-200-222-200000000000000000000-222-20000000000000000000000
χ452-22-222-12-2-2-2-2112-1-22-12-111-2-211-12-12-2-112-222-2-22-22-2000000-111-1-11-11-1-111000002-22-200-11-11000000−i3i3−i3i3000000−i3−i3i3i3-11-1100−i3i3−i3i300000−i3i3000000000
χ462-22-222-12-2-2-2-2112-1-22-12-111-2-211-12-12-2-112-222-2-22-22-2000000-111-1-11-11-1-111000002-22-200-11-11000000i3−i3i3−i3000000i3i3−i3−i3-11-1100i3−i3i3−i300000i3−i3000000000
χ472-22-222-12-2-2-2-2112-1-22-12-111-2-211-12-12-2-112-222-2-2-22-22000000-111-1-11-11-1-11100000-22-22001-11-1000000−i3i3−i3i3000000i3i3−i3−i31-11-100−i3i3−i3i300000i3−i3000000000
χ482-22-222-12-2-2-2-2112-1-22-12-111-2-211-12-12-2-112-222-2-2-22-22000000-111-1-11-11-1-11100000-22-22001-11-1000000i3−i3i3−i3000000−i3−i3i3i31-11-100i3−i3i3−i300000−i3i3000000000
χ492-22-222-1-22-2-2-2112-1-22-12-111-2-211-12-1-221-1-22-2-2222-2-22000000-111-11-11-111-1-1000002-2-2200-111-1000000−i3i3i3−i3000000−i3−i3i3i3-111-100−i3i3i3−i300000i3−i3000000000
χ502-22-222-1-22-2-2-2112-1-22-12-111-2-211-12-1-221-1-22-2-2222-2-22000000-111-11-11-111-1-1000002-2-2200-111-1000000i3−i3−i3i3000000i3i3−i3−i3-111-100i3−i3−i3i300000−i3i3000000000
χ512-22-222-1-22-2-2-2112-1-22-12-111-2-211-12-1-221-1-22-2-222-222-2000000-111-11-11-111-1-100000-222-2001-1-11000000−i3i3i3−i3000000i3i3−i3−i31-1-1100−i3i3i3−i300000−i3i3000000000
χ522-22-222-1-22-2-2-2112-1-22-12-111-2-211-12-1-221-1-22-2-222-222-2000000-111-11-11-111-1-100000-222-2001-1-11000000i3−i3−i3i3000000−i3−i3i3i31-1-1100i3−i3−i3i300000i3−i3000000000
χ532-22-22-122-2-211-2-222-2-12-1-1-2-21111-1-122-22-2-11-1-1112-22-200−i3−i3i3i3-111-1-112-2-1-11100000-11-11−i3i32-22-2−i3−i3i3i3000000−i3−i3i3i3000000-11-110000000000000−i3i3−i3i300000
χ542-22-22-122-2-211-2-222-2-12-1-1-2-21111-1-122-22-2-11-1-1112-22-200i3i3−i3−i3-111-1-112-2-1-11100000-11-11i3−i32-22-2i3i3−i3−i3000000i3i3−i3−i3000000-11-110000000000000i3−i3i3−i300000
χ552-22-22-122-2-211-2-222-2-12-1-1-2-21111-1-122-22-2-11-1-111-22-2200−i3−i3i3i3-111-1-112-2-1-111000001-11-1−i3i3-22-22−i3−i3i3i3000000−i3−i3i3i30000001-11-10000000000000i3−i3i3−i300000
χ562-22-22-122-2-211-2-222-2-12-1-1-2-21111-1-122-22-2-11-1-111-22-2200i3i3−i3−i3-111-1-112-2-1-111000001-11-1i3−i3-22-22i3i3−i3−i3000000i3i3−i3−i30000001-11-10000000000000−i3i3−i3i300000
χ572-22-22-12-22-211-2-222-2-12-1-1-2-21111-1-12-22-221-111-1-12-2-2200−i3−i3i3i3-111-11-1-2211-1-100000-111-1i3−i32-2-22i3i3−i3−i3000000−i3−i3i3i3000000-111-10000000000000−i3i3i3−i300000
χ582-22-22-12-22-211-2-222-2-12-1-1-2-21111-1-12-22-221-111-1-12-2-2200i3i3−i3−i3-111-11-1-2211-1-100000-111-1−i3i32-2-22−i3−i3i3i3000000i3i3−i3−i3000000-111-10000000000000i3−i3−i3i300000
χ592-22-22-12-22-211-2-222-2-12-1-1-2-21111-1-12-22-221-111-1-1-222-200−i3−i3i3i3-111-11-1-2211-1-1000001-1-11i3−i3-222-2i3i3−i3−i3000000−i3−i3i3i30000001-1-110000000000000i3−i3−i3i300000
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χ612-2-2222200-22-22-2-2-22-22222-22-22-2-2-2-2000000000000002i−2i2i−2i2i−2i22-2-20000000000000000000000000002i−2i00002i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000002-2000
χ622-2-2222200-22-22-2-2-22-22222-22-22-2-2-2-2000000000000002i−2i2i−2i2i−2i22-2-20000000000000000000000000002i−2i00002i−2i2i−2i−2i2i−2i2i−2i2i000000000000000000000-22000
χ632-2-2222200-22-22-2-2-22-22222-22-22-2-2-2-200000000000000−2i2i−2i2i−2i2i22-2-2000000000000000000000000000−2i2i0000−2i2i−2i2i2i−2i2i−2i2i−2i000000000000000000000-22000
χ642-2-2222200-22-22-2-2-22-22222-22-22-2-2-2-200000000000000−2i2i−2i2i−2i2i22-2-2000000000000000000000000000−2i2i0000−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000002-2000
χ6544444-2-2444-2-2-2-24-24-2-2-21-2-2-2-2111-2-244-2-2-2-2-2-2-2-24444000000111111-2-2111100000-2-2-2-200-2-2-2-20000000000000000000011110000000000000000000000
χ6644444-2-2444-2-2-2-24-24-2-2-21-2-2-2-2111-2-244-2-2-2-2-2-2-2-2-4-4-4-4000000111111-2-2111100000222200222200000000000000000000-1-1-1-10000000000000000000000
χ6744444-2-2-4-44-2-2-2-24-24-2-2-21-2-2-2-2111-2-2-4-42222222244-4-40000001111-1-122-1-1-1-100000-2-22200-2-2220000000000000000000011-1-10000000000000000000000
χ6844444-2-2-4-44-2-2-2-24-24-2-2-21-2-2-2-2111-2-2-4-422222222-4-4440000001111-1-122-1-1-1-10000022-2-20022-2-200000000000000000000-1-1110000000000000000000000
χ694444-24-244-244-2-2-2-2-241-2-211-2-2-2-2-2-21-2-2-2-244-2-2-2-200000000001111-2-2111111044000000000000000000-2-2-2-200000000000000-2-211110000000000000000
χ704444-24-244-244-2-2-2-2-241-2-211-2-2-2-2-2-21-2-2-2-244-2-2-2-200000000001111-2-21111110-4-400000000000000000022220000000000000022-1-1-1-10000000000000000
χ714444-24-2-4-4-244-2-2-2-2-241-2-211-2-2-2-2-2-212222-4-422220000000000111122-1-1-1-1-1-104-4000000000000000000-2-22200000000000000-2211-1-10000000000000000
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χ1094-4-44-2-24002-224-42-4-22-21-2-221-1-222-120000003i−3i−3i3i0000−4i4i2i−2i2i−2i11-1-100003i−3i−3i3i0000000000000003-3-332i−2i0000−ii−ii00000000000000000000000000000000
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χ1138888-4-4-4-8-8-4-4-4-4-4-4-4-4-4222222222222444444-2-2-2-20000000000-1-1-1-1-2-2-2-211110000000000000000000000000000000000000000000000000000000000000
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χ1188-88-8-4-4-48-844444-4-44-4222-2-2-2-2-2-2222-44-44-4422-2-20000000000-111-12-22-2-1-1110000000000000000000000000000000000000000000000000000000000000
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χ1208-8-888-4-400-8-44-44-8484-4-42-44-442-2-2440000000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).