Finite Group Databasebeta

← Group #13172905

Character table — Group #13172905

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222222222444444444444444444444466668888888888889999121212121212121212121212121212121212121212121212121212121818181818182424242424242424242424243636363636365454545472727272
order1222223336666666663336666666666666666666444436666666666644442444661212121212121212121212121212121212121212121244121212126661212121212121212122444121222226121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-111-1-11111-1-111111111-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-11111-1-111
χ81111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1
χ91111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-111111111-1-11-1-1-1-1111-1-1-1-111111-1-1111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-11111111-1-11-1-111-1-11-1-11-1-111-1-11-1-11
χ101111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-111111111-1-11-1-1-1-1111-1-1-1-11111-111-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-111-111-1-111-111-1-1-111-1-1-111-1
χ111111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-111111111-1-11-1-1-1-1111-1-1-1-1-1-1-1-11-11-111-1-11111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1111-11-1-1-1-1-1111-11-111-1-1111-11-1
χ121111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-111111111-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-11-111111-1-1-11-1111-1-111-11-11
χ131111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1111-1-1-1-1111-1-1-1-111111-1-1111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11111111-1-11-1-111-1-1-111-1-1-1-1-111-111-1
χ141111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1111-1-1-1-1111-1-1-1-11111-111-1-1-11111-1-111-1-111-1-1-1-1-1-11111-1-11111-1-1-111-111-1-1111-1-11-1-1-1-1111-1-11
χ151111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1111-1-1-1-1111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1111-11-1-1-1-1-111-11-111111-1-1-11-11
χ161111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1111-1-1-1-1111-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-11-111111-1-11-11-11111-1-11-11-1
χ1722222222-12-122-12-1222-1-12222-1-12-1-1-1-1-1-1-1-122-1-12222-122-1-1-1-1-1-1-1-1-100002200222200-1-1-1-1222200-1-1-1-1-1-1-1-1000000-1-1-1-100-1-100002200000000-1-100
χ1822222222-12-122-12-1222-1-12222-1-12-1-1-1-1-1-1-1-122-1-12222-122-1-1-1-1-1-1-1-1-10000-2-200-2-2-2-200-1-1-1-1222200-1-1-1-1-1-1-1-1000000111100110000-2-2000000001100
χ1922222222-12-122-12-1222-1-12222-1-12-1-1-1-1-1-1-1-122-1-1-2-2-2-2-122-1-1-1-1-1-1-1-1-1000022002222001111-2-2-2-20011111111000000-1-1-1-100-1-10000-2-2000000001100
χ2022222222-12-122-12-1222-1-12222-1-12-1-1-1-1-1-1-1-122-1-1-2-2-2-2-122-1-1-1-1-1-1-1-1-10000-2-200-2-2-2-2001111-2-2-2-200111111110000001111001100002200000000-1-100
χ212222222-1222-1-12222-1-12-122-1-122-1222222-1-1-1-1-120000-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-100000000-1-10000000022-1-1-1-12-1-1222-1-1-1-1-1-10000-1-100000000
χ222222222-1222-1-12222-1-12-122-1-122-1222222-1-1-1-1-120000-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-211111100000000110000000022-1-1-1-1-211-2-2-21111110000-1-100000000
χ232222222-1222-1-12222-1-12-122-1-122-1222222-1-1-1-1-120000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2-1-1-1-111000000001100000000-2-211112-1-12-2-2-1-1111100001100000000
χ242222222-1222-1-12222-1-12-122-1-122-1222222-1-1-1-1-120000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2221111-1-100000000-1-100000000-2-21111-211-22211-1-1-1-100001100000000
χ25222222-122-12222-12-12-1-12-1-12222-1-1-1-1-1-1-122-1-12-12222-1-1-122-1-1-1-1-1-1-1000000220000222222-1-1-1-122-1-1-1-1-1-1-1-10000000000-1-100-1-1-1-1002200000000-1-1
χ26222222-122-12222-12-12-1-12-1-12222-1-1-1-1-1-1-122-1-12-12222-1-1-122-1-1-1-1-1-1-1000000-2-20000-2-22222-1-1-1-1-2-2-1-1-1-1-1-1-1-100000000001100111100-2-20000000011
χ27222222-122-12222-12-12-1-12-1-12222-1-1-1-1-1-1-122-1-12-1-2-2-2-2-1-1-122-1-1-1-1-1-1-100000022000022-2-2-2-2111122111111110000000000-1-100-1-1-1-100-2-20000000011
χ28222222-122-12222-12-12-1-12-1-12222-1-1-1-1-1-1-122-1-12-1-2-2-2-2-1-1-122-1-1-1-1-1-1-1000000-2-20000-2-2-2-2-2-21111-2-211111111000000000011001111002200000000-1-1
χ292222-2-222-12-122-12-1222-1-1-2-2-2-2112-1-11111-1-122-1-122-2-2-1-2-211-1-1-1111100002-20022-2-200-1-11122-2-200-1-1-1-11111000000-1-1-11001100002-200000000-1100
χ302222-2-222-12-122-12-1222-1-1-2-2-2-2112-1-11111-1-122-1-122-2-2-1-2-211-1-1-111110000-2200-2-22200-1-11122-2-200-1-1-1-11111000000111-100-1-10000-22000000001-100
χ312222-2-222-12-122-12-1222-1-1-2-2-2-2112-1-11111-1-122-1-1-2-222-1-2-211-1-1-1111100002-20022-2-20011-1-1-2-222001111-1-1-1-1000000-1-1-1100110000-22000000001-100
χ322222-2-222-12-122-12-1222-1-1-2-2-2-2112-1-11111-1-122-1-1-2-222-1-2-211-1-1-111110000-2200-2-2220011-1-1-2-222001111-1-1-1-1000000111-100-1-100002-200000000-1100
χ332222-2-22-1222-1-12222-1-12-1-2-211-2-2-122-2-2-2-2-1-1-1-1-120000-11111-1-1-1111122222-2-22-1-1111100000000-1-100000000-2-2-1-1-1-12-1-1-2-2211-1-11100001100000000
χ342222-2-22-1222-1-12222-1-12-1-2-211-2-2-122-2-2-2-2-1-1-1-1-120000-11111-1-1-111112222-222-211-1-1-1-1000000001100000000-2-2-1-1-1-1-21122-2-1-111-1-100001100000000
χ352222-2-22-1222-1-12222-1-12-1-2-211-2-2-122-2-2-2-2-1-1-1-1-120000-11111-1-1-11111-2-2-2-22-22-2-1-111-1-10000000011000000002211112-1-1-22-21111-1-10000-1-100000000
χ362222-2-22-1222-1-12222-1-12-1-2-211-2-2-122-2-2-2-2-1-1-1-1-120000-11111-1-1-11111-2-2-2-2-22-2211-1-11100000000-1-100000000221111-2112-22-1-1-1-1110000-1-100000000
χ372222-2-2-122-12222-12-12-1-1211-2-2-2-2-1-1-1111122-1-12-122-2-2-111-2-2-1-1-111110000002-200002222-2-2-1-111-2-2-1-1-1-111110000000000-110011-1-1002-200000000-11
χ382222-2-2-122-12222-12-12-1-1211-2-2-2-2-1-1-1111122-1-12-122-2-2-111-2-2-1-1-11111000000-220000-2-222-2-2-1-11122-1-1-1-1111100000000001-100-1-11100-22000000001-1
χ392222-2-2-122-12222-12-12-1-1211-2-2-2-2-1-1-1111122-1-12-1-2-222-111-2-2-1-1-111110000002-2000022-2-22211-1-1-2-21111-1-1-1-10000000000-110011-1-100-22000000001-1
χ402222-2-2-122-12222-12-12-1-1211-2-2-2-2-1-1-1111122-1-12-1-2-222-111-2-2-1-1-11111000000-220000-2-2-2-22211-1-1221111-1-1-1-100000000001-100-1-111002-200000000-11
χ4122-2-200222-222-2-22-2-2-2222000000-22-200002-22-2-2-2002i−2i200002-2-200002i2i−2i−2i0000000000002i−2i002i−2i0000002i2i−2i−2i002i2i−2i−2i000000000000000000002-20000
χ4222-2-200222-222-2-22-2-2-2222000000-22-200002-22-2-2-2002i−2i200002-2-20000−2i−2i2i2i0000000000002i−2i002i−2i0000002i2i−2i−2i00−2i−2i2i2i00000000000000000000-220000
χ4322-2-200222-222-2-22-2-2-2222000000-22-200002-22-2-2-200−2i2i200002-2-200002i2i−2i−2i000000000000−2i2i00−2i2i000000−2i−2i2i2i002i2i−2i−2i00000000000000000000-220000
χ4422-2-200222-222-2-22-2-2-2222000000-22-200002-22-2-2-200−2i2i200002-2-20000−2i−2i2i2i000000000000−2i2i00−2i2i000000−2i−2i2i2i00−2i−2i2i2i000000000000000000002-20000
χ452-22-22-22222-2-22-2-22-2-22222-22-22-22-2222-2-2-2-2-2-22-2000022-22-2-22-222-2-22i−2i2i−2i00000000000000000000000000002i−2i2i−2i2i−2i00000000000000002i−2i00000000
χ462-22-22-22222-2-22-2-22-2-22222-22-22-22-2222-2-2-2-2-2-22-2000022-22-2-22-222-2-2−2i2i−2i2i0000000000000000000000000000−2i2i−2i2i−2i2i0000000000000000−2i2i00000000
χ472-22-22-22-122-21-1-2-22-21-12-12-2-112-2-1-2222-2-21111-1-20000-1-11-111-11-1-1112i−2i2i−2i0000−i3i3−i3i33−3000000003−3000000002i−2i−ii−ii0−i3i3000−i3i33−33−30000−ii00000000
χ482-22-22-22-122-21-1-2-22-21-12-12-2-112-2-1-2222-2-21111-1-20000-1-11-111-11-1-1112i−2i2i−2i0000i3−i3i3−i3−3300000000−33000000002i−2i−ii−ii0i3−i3000i3−i3−33−330000−ii00000000
χ492-22-22-22-122-21-1-2-22-21-12-12-2-112-2-1-2222-2-21111-1-20000-1-11-111-11-1-111−2i2i−2i2i0000−i3i3−i3i3−3300000000−3300000000−2i2ii−ii−i0−i3i3000−i3i3−33−330000i−i00000000
χ502-22-22-22-122-21-1-2-22-21-12-12-2-112-2-1-2222-2-21111-1-20000-1-11-111-11-1-111−2i2i−2i2i0000i3−i3i3−i33−3000000003−300000000−2i2ii−ii−i0i3−i3000i3−i33−33−30000i−i00000000
χ512-22-2-222222-2-22-2-22-2-2222-22-22-222-22-2-222-2-2-2-22-200002-22-22-22-2-2-2222i−2i2i−2i0000000000000000000000000000−2i2i2i−2i2i−2i0000000000000000−2i2i00000000
χ522-22-2-222222-2-22-2-22-2-2222-22-22-222-22-2-222-2-2-2-22-200002-22-22-22-2-2-222−2i2i−2i2i00000000000000000000000000002i−2i−2i2i−2i2i00000000000000002i−2i00000000
χ532-22-2-222-122-21-1-2-22-21-12-1-221-1-22-1-22-2-2221111-1-20000-11-11-11-1111-1-12i−2i2i−2i0000−i3i3i3−i3−33000000003−300000000−2i2i−ii−ii0−i3i3000i3−i33−3−330000i−i00000000
χ542-22-2-222-122-21-1-2-22-21-12-1-221-1-22-1-22-2-2221111-1-20000-11-11-11-1111-1-12i−2i2i−2i0000i3−i3−i3i33−300000000−3300000000−2i2i−ii−ii0i3−i3000−i3i3−333−30000i−i00000000
χ552-22-2-222-122-21-1-2-22-21-12-1-221-1-22-1-22-2-2221111-1-20000-11-11-11-1111-1-1−2i2i−2i2i0000−i3i3i3−i33−300000000−33000000002i−2ii−ii−i0−i3i3000i3−i3−333−30000−ii00000000
χ562-22-2-222-122-21-1-2-22-21-12-1-221-1-22-1-22-2-2221111-1-20000-11-11-11-1111-1-1−2i2i−2i2i0000i3−i3−i3i3−33000000003−3000000002i−2ii−ii−i0i3−i3000−i3i33−3−330000−ii00000000
χ572-2-2200222-2-2-2-22-2-222222000000-2-2-20000-22-22-222-20020000-2-2200002-2-2200000000002-2002-2000022-2-20000002-2-220000000000000000002-2000000
χ582-2-2200222-2-2-2-22-2-222222000000-2-2-20000-22-22-222-20020000-2-220000-222-200000000002-2002-2000022-2-2000000-222-2000000000000000000-22000000
χ592-2-2200222-2-2-2-22-2-222222000000-2-2-20000-22-22-22-220020000-2-2200002-2-220000000000-2200-220000-2-2220000002-2-22000000000000000000-22000000
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χ66444444-2-24-24-2-24-24-2-21-2-2-2-2-2-2441-2-2-2-2-2-2-2-211-2-20000111-2-21111111000000-4-400002200000000220000000000000000002200-1-1-1-100000000000000
χ674444-4-44-2-24-2-2-2-24-24-2-2-21-4-42222-2-2-2222211-2-21-20000122-1-1111-1-1-1-100004-400-2-22200000000000000000000000000-211200-1-1000000000000000000
χ684444-4-44-2-24-2-2-2-24-24-2-2-21-4-42222-2-2-2222211-2-21-20000122-1-1111-1-1-1-10000-440022-2-2000000000000000000000000002-1-1-20011000000000000000000
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χ714444-4-4-2-24-24-2-24-24-2-21-2-22222-4-41-2-22222-2-211-2-200001-1-122111-1-1-1-10000004-40000-2-20000000022000000000000000000-2200-1-11100000000000000
χ724444-4-4-2-24-24-2-24-24-2-21-2-22222-4-41-2-22222-2-211-2-200001-1-122111-1-1-1-1000000-4400002200000000-2-20000000000000000002-20011-1-100000000000000
χ7344-4-40044-2-4-24-4242-4-44-2-2000000-4-220000-224-422004i−4i-20000-22200000000000000000000−2i2i004i−4i000000−2i−2i2i2i00000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).