Finite Group Databasebeta

← Group #13168559

Character table — Group #13168559

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222444444444444466668888888888888888812121212121212121212121212121212181818182424242424242424242424242424242424243636363636363636363654545454727272
order122233366666666633346666666664444366612121212121212121212121212244412121212121212121212121244446666121212121212121212121212121222446612121212224461212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-11111111-1-111-1-1-1-1-1-111111-11-1111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11-1-1
χ31111111111111111111111111111111-1-111111111111111111111-1-1-111-1-111111111-1-11111-11-1111-1-1-1-11111-1-11-1-1-111-1-1-1-1-1-1-11-1
χ41111111111111111111111111111111-1-1111111111111111111-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-11
χ511111111111111111111111111111-1-11111111111111111111-111111-1-11111-1-111-1-111-1-1-1-11111-1-111111111-1-1-11-1-1-1-111-1-1-1-1-1-11
χ611111111111111111111111111111-1-11111111111111111111-1-1-1111-1-111-1-1-1-1-1-111-1-1-1-1-1-11-11-1-1-11111-1-1-1-1-1-11-1-1-111-1-11111-11-1
χ711111111111111111111111111111-1-1-1-111111111111111111-111-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1111111-1-111-1-1-1-111111-1-1
χ811111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111
χ91111111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111111-1-111-1-1-1-1-1-1-1-1-111111-1-111-1-11-1-111111-1-1-1-111-1-11
χ101111111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-11111-1-111-1-1-1-1-11-1-11111-1-1-1-1111-11-111-1-11111-1-1-11-1
χ111111111111111111111-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-11111-1-11111-1-1-1-11-11111-1-11111-1-1-11-1-1-1-1111111-1-11-1-1
χ121111111111111111111-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111-111-1-111-1-111-1111-1-1-1-1-1-1-1-111111
χ131111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-11-1-111-1-111-1-1-1111-1-1-1-1-1-111-1-1111
χ141111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-11111111111-11-1-1-1-111-1-1-1-111-11-1-1-1-11111-1-1111-1-1
χ151111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1-111-1-1-1-1-1-11111111-111-1-1-1-11111-1-11-11-111-1-111-1-111-11-1
χ161111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-11111-1-11111111-1-1-1-1-111-1-1111-1-111111-1-111-1-1-1-11
χ17222222-1-12-12-122222-1-122-1-12-1-1-1-122222-1-1-1-1-12222-1-1-1-1-1-1-1-1200222-1-1-1-100220000002-1-1-1-1020-1-1-1-1-1-100002200-1-100000000-100
χ18222222-1-12-12-122222-1-122-1-12-1-1-1-1222-2-2-1-1-1-1-12222-1-1-1-1-1-1-1-1200-2-2-2-1-11100220000002-1-1-110-20-1-111110000-2-2001100000000100
χ19222222-1-12-12-122222-1-122-1-12-1-1-1-12-2-222-1-1-1-1-12222-1-1-1-1-1-1-1-1-20022211-1-100-2-2000000-2111-102011-1-1-1-10000-2-2001100000000100
χ20222222-1-12-12-122222-1-122-1-12-1-1-1-12-2-2-2-2-1-1-1-1-12222-1-1-1-1-1-1-1-1-200-2-2-2111100-2-2000000-211110-2011111100002200-1-100000000-100
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χ24222222-1-12-12-122222-1-1-22-1-12-1-1-1-12-2-2-2-2-1-1-1-11-2-2-2-2111111112002-2-2111100-2-20000002-1-1-1-10201111-1-100002-200-1-100000000100
χ2522222-12222-12-1-122-12-12-12-1-1-12-12-12200-1-1-1-12-12-1-1-1-122-1-1-1-12220002200-1-1-1-1222200-12-1-10-102-1-10000-1-1-1-1002000-1-10000000-10
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χ2722222-12222-12-1-122-12-12-12-1-1-12-12-1-2-200-1-1-1-12-12-1-1-1-122-1-1-1-1-222000-2-200-1-11122-2-2001-2110-102110000-1-1-1-100-200011000000010
χ2822222-12222-12-1-122-12-12-12-1-1-12-12-1-2-200-1-1-1-12-12-1-1-1-122-1-1-1-1-2-2-2000-2-2001111-2-222001-211010-21100001111002000-1-10000000-10
χ2922222-12222-12-1-122-12-1-2-12-1-1-12-12-12200-1-1-1-1-21-21111-2-21111-22-20002200-1-1-1-1-2-222001-2110102-1-10000-1-11100-2000-1-1000000010
χ3022222-12222-12-1-122-12-1-2-12-1-1-12-12-12200-1-1-1-1-21-21111-2-21111-2-22000220011-1-122-2-2001-2110-10-2-1-1000011-1-1002000110000000-10
χ3122222-12222-12-1-122-12-1-2-12-1-1-12-12-1-2-200-1-1-1-1-21-21111-2-2111122-2000-2-200-1-111-2-2-2-200-12-1-10102110000-1-111002000110000000-10
χ3222222-12222-12-1-122-12-1-2-12-1-1-12-12-1-2-200-1-1-1-1-21-21111-2-211112-22000-2-2001111222200-12-1-10-10-211000011-1-100-2000-1-1000000010
χ332222-1222-122222-1-1-1-122-1-12-12-12-1-10022-1-1-1-122-1-1-122-1-1-1-1-1-10222-1-100222200-1-10022000022-1-100-1-1-1-1-1-1-1-100020000-1-1000000-1
χ342222-1222-122222-1-1-1-122-1-12-12-12-1-10022-1-1-1-122-1-1-122-1-1-1-1-1-10-2-22-1-10022-2-2001100-2-200002-2-1100-1-1-1-11111000-20000110000001
χ352222-1222-122222-1-1-1-122-1-12-12-12-1-100-2-2-1-1-1-122-1-1-122-1-1-1-1-1-1022-21100-2-22200-1-100-2-20000-221-1001111-1-1-1-1000-20000110000001
χ362222-1222-122222-1-1-1-122-1-12-12-12-1-100-2-2-1-1-1-122-1-1-122-1-1-1-1-1-10-2-2-21100-2-2-2-2001100220000-2-211001111111100020000-1-1000000-1
χ372222-1222-122222-1-1-1-12-2-1-12-12-12-1-10022-1-1-1-1-2-2111-2-211111102-2-2-1-1002222001100-2-20000-2-21-100-1-111-1-1110002000011000000-1
χ382222-1222-122222-1-1-1-12-2-1-12-12-12-1-10022-1-1-1-1-2-2111-2-21111110-22-2-1-10022-2-200-1-100220000-221100-1-11111-1-1000-20000-1-10000001
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χ402222-1222-122222-1-1-1-12-2-1-12-12-12-1-100-2-2-1-1-1-1-2-2111-2-21111110-2221100-2-2-2-200-1-100-2-2000022-110011-1-111-1-10002000011000000-1
χ4122-2-22222-2-22-2-2-2-222220-222-2-2-2-2-222i−2i0022-2-200000000000000000002i−2i00002i−2i00002i−2i000000002i−2i00000000000000002i−2i2-200000
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χ1038-8-88-48-444-4-848-8-44-42-404-24-4-4-242400002-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-444-444-44-442220-2-2-222-2-22-20000-111-10006-60000-333-30000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-444-444-44-442220-2-2-222-2-22-20000-111-1000-6600003-3-330000000000000000000000000000000000000000000000000000000

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