Finite Group Databasebeta

← Group #13172049

Character table — Group #13172049

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222222222222222233334444444444444444444444446666666666666666666666666688888888881212121212121212121212121212121212121212121212121212121218181818181818181818181824242424242436363636363636367272108108
order1222223336666666666666444433366666666666666666666644444412121212121212121212121212121212121212123666666666246612121212121212121212121212121212121212121212121244441212121212121212666121212224466121261224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-11-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111
χ51111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-11-11-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-111
χ71111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111111111-1-1
χ91111-1-1111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-11-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1111-1-1-1-111-1-1-1111-1-11
χ101111-1-1111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-1-11-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-11111-1-1111-1-1-111-1
χ111111-1-1111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-1-11111-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-11-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111111-1-1-1-1-111-1-111-111-1
χ121111-1-1111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-1-11111-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-1-11-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-111111-1-111-1-11-1-11
χ131111-1-1111-1-1-1-1111111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-11-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111111-1-1-111-1-111-1-11-11-1
χ141111-1-1111-1-1-1-1111111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-11-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1111-1-111-1-111-11-11
χ151111-1-1111-1-1-1-1111111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-11-111-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1111-1-1-11-1-1111-1-1-11-11
χ161111-1-1111-1-1-1-1111111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-1-11-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1111-111-1-1-1111-11-1
χ1722222222-1222222-122-1-12200002-1-122-1-122-1-12222-1-1-1-1-1-1-12-122220000000000222222220000-1-1-1-1-1-1-1-1-1-12222-1-1-1-1002200000000-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-102020000-1-100
χ1822222222-1222222-122-1-12200002-1-122-1-122-1-12222-1-1-1-1-1-1-12-122220000000000222222220000-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-100-2-200000000-1-1-1-1-1-1-1-10000000000001111110-20-200001100
χ1922222222-1222222-122-1-12200002-1-122-1-122-1-12222-1-1-1-1-1-1-12-1-2-2-2-20000000000-2-2-2-2-2-2-2-20000-1-1-1-1-1-1-1-1-1-12222111100220000000011111111000000000000-1-1-1-1-1-10-20-200001100
χ2022222222-1222222-122-1-12200002-1-122-1-122-1-12222-1-1-1-1-1-1-12-1-2-2-2-20000000000-2-2-2-2-2-2-2-20000-1-1-1-1-1-1-1-1-1-1-2-2-2-2111100-2-2000000001111111100000000000011111102020000-1-100
χ212222222-122222-1-1222222-12222-12-1-1-122-1-122-1-1-1-12222-1-1-1-120000222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-10000-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000002-1-12-1-12020-1-1-1-10000
χ222222222-122222-1-1222222-12222-12-1-1-122-1-122-1-1-1-12222-1-1-1-120000222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2110000-1-111-1-1-1-1-1-1-1-100000000000000000000-211-211-20-2011110000
χ232222222-122222-1-1222222-1-2-2-2-2-12-1-1-122-1-122-1-1-1-12222-1-1-1-120000-2-2-2-2-2-2-2-2-2-2000000001111-1-1-1-1-1-1-1-1-1-122-1-1000011-1-111111111000000000000000000002-1-12-1-1-20-2011110000
χ242222222-122222-1-1222222-1-2-2-2-2-12-1-1-122-1-122-1-1-1-12222-1-1-1-120000-2-2-2-2-2-2-2-2-2-2000000001111-1-1-1-1-1-1-1-1-1-1-2-211000011111111111100000000000000000000-211-2112020-1-1-1-10000
χ25222222-122-1-1-1-1222-1-122-122222-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-122-1-1-1-1-1-1-1000022222200-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000
χ26222222-122-1-1-1-1222-1-122-122222-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-2-2-2-222-1-1-1-1-1-1-1-1111111112222-122-1-1-1-1-1-1-10000-2-2-2-22200-1-1-1-1-1-1-1-111111111-2-2-2-211111111000000000000000000
χ27222222-122-1-1-1-1222-1-122-12-2-2-2-2-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222-1-12222-2-211111111-1-1-1-1-1-1-1-1-2-2-2-2-122-1-1-1-1-1-1-100002222-2-20011111111-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000000000
χ28222222-122-1-1-1-1222-1-122-12-2-2-2-2-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-2-2-2-2-2-21111111111111111-2-2-2-2-122-1-1-1-1-1-1-10000-2-2-2-2-2-20011111111111111112222-1-1-1-1-1-1-1-1000000000000000000
χ292222-2-222-1-2-2-2-222-122-1-12200002-1-1-2-21122-1-1-2-2-2-21111-1-1-12-122-2-200000000002222-2-2-2-20000-111-1-1-111112-222-1-11100-2-200000000-1-1-1-11111000000000000-1-1-1111020-20000-1100
χ302222-2-222-1-2-2-2-222-122-1-12200002-1-1-2-21122-1-1-2-2-2-21111-1-1-12-122-2-200000000002222-2-2-2-20000-111-1-1-11111-22-2-2-1-111002200000000-1-1-1-11111000000000000111-1-1-10-20200001-100
χ312222-2-222-1-2-2-2-222-122-1-12200002-1-1-2-21122-1-1-2-2-2-21111-1-1-12-1-2-2220000000000-2-2-2-222220000-111-1-1-111112-22211-1-100-2-2000000001111-1-1-1-1000000000000-1-1-11110-20200001-100
χ322222-2-222-1-2-2-2-222-122-1-12200002-1-1-2-21122-1-1-2-2-2-21111-1-1-12-1-2-2220000000000-2-2-2-222220000-111-1-1-11111-22-2-211-1-10022000000001111-1-1-1-1000000000000111-1-1-1020-20000-1100
χ332222-2-22-12-2-2-2-2-1-1222222-12222-12-111-2-2-1-1221111-2-2-2-2-1-1-1-120000-2-22222-2-2-2-200000000-1-1-1-1-111-1-1-111112-2-1-100001111-1-1-1-11111000000000000000000002-1-1-211-202011-1-10000
χ342222-2-22-12-2-2-2-2-1-1222222-12222-12-111-2-2-1-1221111-2-2-2-2-1-1-1-120000-2-22222-2-2-2-200000000-1-1-1-1-111-1-1-11111-2211000011-1-1-1-1-1-1111100000000000000000000-2112-1-120-20-1-1110000
χ352222-2-22-12-2-2-2-2-1-1222222-1-2-2-2-2-12-111-2-2-1-1221111-2-2-2-2-1-1-1-12000022-2-2-2-22222000000001111-111-1-1-111112-2-1-10000-1-1111111-1-1-1-1000000000000000000002-1-1-21120-20-1-1110000
χ362222-2-22-12-2-2-2-2-1-1222222-1-2-2-2-2-12-111-2-2-1-1221111-2-2-2-2-1-1-1-12000022-2-2-2-22222000000001111-111-1-1-11111-22110000-1-1-1-11111-1-1-1-100000000000000000000-2112-1-1-202011-1-10000
χ372222-2-2-1221111222-1-122-122222-1-12-2-2-2-2-1-1-1-111111111222-1-122-2-2-2-2-1-1-1-11111-1-1-1-111112222-1-2-2-1-1-11111000022-2-2-2-200-1-1-1-11111-1-1-1-1111122-2-2-1-1-1-11111000000000000000000
χ382222-2-2-1221111222-1-122-122222-1-12-2-2-2-2-1-1-1-111111111222-1-1-2-222-2-2-1-1-1-111111111-1-1-1-12222-1-2-2-1-1-111110000-2-222-2-200-1-1-1-111111111-1-1-1-1-2-2221111-1-1-1-1000000000000000000
χ392222-2-2-1221111222-1-122-12-2-2-2-2-1-12-2-2-2-2-1-1-1-111111111222-1-122-2-2221111-1-1-1-1-1-1-1-11111-2-2-2-2-1-2-2-1-1-11111000022-2-222001111-1-1-1-1-1-1-1-11111-2-2221111-1-1-1-1000000000000000000
χ402222-2-2-1221111222-1-122-12-2-2-2-2-1-12-2-2-2-2-1-1-1-111111111222-1-1-2-222221111-1-1-1-11111-1-1-1-1-2-2-2-2-1-2-2-1-1-111110000-2-22222001111-1-1-1-11111-1-1-1-122-2-2-1-1-1-11111000000000000000000
χ4122-2-20022200002-2-22-22-2-2-22i2i−2i−2i22200002-2-2-2000000002-2-2-222-200002i2i−2i−2i000022-2-200002i2i−2i−2i2002-2-2000000002-20000002i2i−2i−2i000022-2-200002i−2i002i2i−2i−2i0000000000000000000000
χ4222-2-20022200002-2-22-22-2-2-22i2i−2i−2i22200002-2-2-2000000002-2-2-22-2200002i2i−2i−2i0000-2-22200002i2i−2i−2i2002-2-200000000-220000002i2i−2i−2i0000-2-2220000−2i2i00−2i−2i2i2i0000000000000000000000
χ4322-2-20022200002-2-22-22-2-2-2−2i−2i2i2i22200002-2-2-2000000002-2-2-222-20000−2i−2i2i2i000022-2-20000−2i−2i2i2i2002-2-2000000002-2000000−2i−2i2i2i000022-2-20000−2i2i00−2i−2i2i2i0000000000000000000000
χ4422-2-20022200002-2-22-22-2-2-2−2i−2i2i2i22200002-2-2-2000000002-2-2-22-220000−2i−2i2i2i0000-2-2220000−2i−2i2i2i2002-2-200000000-22000000−2i−2i2i2i0000-2-22200002i−2i002i2i−2i−2i0000000000000000000000
χ4522-2-200-122−i3−i3i3i32-2-2-112-21-22i2i−2i−2i-1-120000-1111−i3−i3i3i3−i3−i3i3i32-2-21-12-20000−i−iii33−3−3-1-111−i3−i3i3i32i2i−2i−2i-100-111−i3−i3i3i300002-2000000−i−iii33−3−3-1-111−i3−i3i3i32i−2i00−i−iii33−3−3000000000000000000
χ4622-2-200-122−i3−i3i3i32-2-2-112-21-22i2i−2i−2i-1-120000-1111−i3−i3i3i3−i3−i3i3i32-2-21-1-220000−i−iii33−3−311-1-1i3i3−i3−i32i2i−2i−2i-100-111−i3−i3i3i30000-22000000−i−iii33−3−311-1-1i3i3−i3−i3−2i2i00ii−i−i−3−333000000000000000000
χ4722-2-200-122−i3−i3i3i32-2-2-112-21-2−2i−2i2i2i-1-120000-1111−i3−i3i3i3−i3−i3i3i32-2-21-12-20000ii−i−i−3−333-1-111−i3−i3i3i3−2i−2i2i2i-100-111−i3−i3i3i300002-2000000ii−i−i−3−333-1-111−i3−i3i3i3−2i2i00ii−i−i−3−333000000000000000000
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χ5122-2-200-122i3i3−i3−i32-2-2-112-21-2−2i−2i2i2i-1-120000-1111i3i3−i3−i3i3i3−i3−i32-2-21-12-20000ii−i−i33−3−3-1-111i3i3−i3−i3−2i−2i2i2i-100-111i3i3−i3−i300002-2000000ii−i−i33−3−3-1-111i3i3−i3−i3−2i2i00ii−i−i33−3−3000000000000000000
χ5222-2-200-122i3i3−i3−i32-2-2-112-21-2−2i−2i2i2i-1-120000-1111i3i3−i3−i3i3i3−i3−i32-2-21-1-220000ii−i−i33−3−311-1-1−i3−i3i3i3−2i−2i2i2i-100-111i3i3−i3−i30000-22000000ii−i−i33−3−311-1-1−i3−i3i3i32i−2i00−i−iii−3−333000000000000000000
χ532-22-2002220000-222-2-2-2-22-22i−2i2i−2i2220000-222-200000000-22-2-2-2002i−2i002i−2i2i−2i000000002i−2i2i−2i2i−2i2i−2i200-22-200000000002i−2i00002i−2i2i−2i000000002i−2i2i−2i002-200002-22-2000000000000000000
χ542-22-2002220000-222-2-2-2-22-22i−2i2i−2i2220000-222-200000000-22-2-2-200−2i2i002i−2i2i−2i00000000−2i2i−2i2i2i−2i2i−2i200-22-20000000000−2i2i00002i−2i2i−2i00000000−2i2i−2i2i00-220000-22-22000000000000000000
χ552-22-2002220000-222-2-2-2-22-2−2i2i−2i2i2220000-222-200000000-22-2-2-2002i−2i00−2i2i−2i2i000000002i−2i2i−2i−2i2i−2i2i200-22-200000000002i−2i0000−2i2i−2i2i000000002i−2i2i−2i00-220000-22-22000000000000000000
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χ1254-4-444-4-24-2-222-2-4-422-22-2240000-21-24-4-2222-11-222-21-1-1122-2-2-100000000000000−232323−23−232323−2300001-22-1-111-1-11000000000000000000003−3−333−3−33000000000000000000000000000000
χ1264-4-444-4-2-24-222-222-42-2-442-24-4-441-2-2-224-4-1-12-21-1-11-222-222-21200004-4-222-2-222-200000000-222-21-22-1-111-1-1100000000-22001-1-111-1-1100000000000000000000000000000000000000
χ1274-4-444-4-2-24-222-222-42-2-442-2-444-41-2-2-224-4-1-12-21-1-11-222-222-2120000-442-2-222-2-22000000002-2-221-22-1-111-1-11000000002-200-111-1-111-100000000000000000000000000000000000000
χ1284-4-44-4444-2-444-4-4-42-442-2-4400004-2-2-442-2-4-42-2-444-42-2-2222-24200000000000000000000000000-22-222-22-2-220000000000000000000000000000000000000000000000000000000000
χ1294-4-44-444-2-2-444-4222-442-2-4-20000-2-212-22-2222-22-2-222-2-22-1-11-22000000000000000000000000001-11-1-11-111-100−2i32i30000002i3−2i300000000000000000000000000000i3−i30−i3i3000000000000
χ1304-4-44-444-2-2-444-4222-442-2-4-20000-2-212-22-2222-22-2-222-2-22-1-11-22000000000000000000000000001-11-1-11-111-1002i3−2i3000000−2i32i300000000000000000000000000000−i3i30i3−i3000000000000
χ1314-4-44-44-24-22-2-22-4-422-22-2240000-21-2-442-222-112-2-22-111-122-2-2-10000000000000023−23−2323−232323−23000012-2-1-11-111-100000000000000000000−333−33−3−33000000000000000000000000000000
χ1324-4-44-44-24-22-2-22-4-422-22-2240000-21-2-442-222-112-2-22-111-122-2-2-100000000000000−232323−2323−23−2323000012-2-1-11-111-1000000000000000000003−3−33−333−3000000000000000000000000000000
χ1334-4-44-44-2-242-2-2222-42-2-442-24-4-441-2-22-2-44-1-12-2-111-12-2-2222-2120000-44-222-22-2-2200000000-222-212-2-1-11-111-1000000002-2001-1-11-111-100000000000000000000000000000000000000
χ1344-4-44-44-2-242-2-2222-42-2-442-2-444-41-2-22-2-44-1-12-2-111-12-2-2222-21200004-42-2-22-222-2000000002-2-2212-2-1-11-111-100000000-2200-111-11-1-1100000000000000000000000000000000000000
χ135888888-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-40000222-4-4-4-42222222222222222200000000000000000000000000-122-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000000
χ1368888-8-8-4-4-44444-4-4-4-4-4-4-4-4-4000022244442222-2-2-2-2-2-2-2-22222200000000000000000000000000-1-2-2-1-1-111110000000000000000000000000000000000000000000000000000000000
χ13788-8-8008-4-40000-4448-8-44-840000-4-420000-4444000000002-2-24-4000000000000000000000000002002-2-200000000000000000000000000000000000000000000000000000000000000
χ13888-8-800-4-4-4−4i3−4i34i34i3-444-44-4444000022200002-2-2-22i32i3−2i3−2i32i32i3−2i3−2i32-2-2-2200000000000000000000000000-100-111−i3−i3i3i30000000000000000000000000000000000000000000000000000000000
χ13988-8-800-4-4-44i34i3−4i3−4i3-444-44-4444000022200002-2-2-2−2i3−2i32i32i3−2i3−2i32i32i32-2-2-2200000000000000000000000000-100-111i3i3−i3−i30000000000000000000000000000000000000000000000000000000000
χ1408-88-8008-4-400004-4-4-8-844840000-4-4200004-4-4400000000-22-24400000000000000000000000000200-22-200000000000000000000000000000000000000000000000000000000000000
χ1418-88-800-4-4-4−4i34i3−4i34i34-4-44444-4400002220000-222-22i3−2i32i3−2i32i3−2i32i3−2i3-22-2-2-200000000000000000000000000-1001-11−i3i3−i3i30000000000000000000000000000000000000000000000000000000000
χ1428-88-800-4-4-44i3−4i34i3−4i34-4-44444-4400002220000-222-2−2i32i3−2i32i3−2i32i3−2i32i3-22-2-2-200000000000000000000000000-1001-11i3−i3i3−i30000000000000000000000000000000000000000000000000000000000
χ1438-8-888-8-4-4-4-444-44444-44-44-40000222-44-44-2-2-222-2-222-2-22-2-222-200000000000000000000000000-12-211-1-111-10000000000000000000000000000000000000000000000000000000000
χ1448-8-88-88-4-4-44-4-444444-44-44-400002224-44-4-2-2-22-222-2-222-2-2-222-200000000000000000000000000-1-2211-11-1-110000000000000000000000000000000000000000000000000000000000

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