Finite Group Databasebeta

← Group #13168533

Character table — Group #13168533

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222222244444444444444466888888888888888812121212121212121212121212181818181818181824242424242424242424242424242424242424243636363636363636363654547272108
order12223336666666663334666666666121244366612121212121212121212121224444661212121212124444444466612121212121212121212121212121212124412121212121212124412122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-11-11111-1-111-1-111-1-1-1-11111-11-111-11111-1-111-1-1-11-1-1-1-111-1-1-1-11-1-1
χ31111111111111111111111111111111111111111111111111-111-11-1-111111111-1-1-1-1-1-1-1-1-111-11-11111-1-11111111-1-1-1-1-1-1-111-1-1-11-1
χ41111111111111111111111111111111111111111111111111-11-1-1-1-1-111-1-111-1-1-1-11111-1-1-11-1-1-1-11-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-11
χ51111111111111111111111111111111-1-111111111111111111-111111-1-111-1-1-1-1-1-11111111-11111-11-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111-1-111111111111111111-1-11-111-1-1-1-1-1-111-1-1-1-1-1-1111-1-11-11-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-1-11111-111
χ71111111111111111111111111111111-1-11111111111111111-1-11-11-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11-11-1-11-1-1-1-111-1-111-11-1-1-1-111-1-1111-11
χ81111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1
χ91111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-111-1-111-1-111111-11-1-1-1-1111-1-1-1-1-1-1111-111-1-111-1-111-11-1
χ101111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111111111111111-1-1111-1-1-11-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11
χ111111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111-1-1-1-111-1-1-1-1-1-111-11-111111-1-1-1-11111-1-111-1-1-1-1-1-1111
χ121111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111-1-1-1-1-1111-1-1111111-1-1-1-1-1111-1-1-1-111111-1-1
χ131111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-111-1-1-1-11111111-1-1-111-1-1-1-1-1-11111-1111-1-1-1-111-1-11-11
χ141111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-111-1-1-1-1-1-111-1-11111-1-11-11-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1
χ151111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1111-1111-1-111-1-11111-1-1-1-111111111-1-1-1
χ161111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-111-1-1-1-111-1-111-1-1-11-11111-1-1-1111111-1-11-111-1-111-1-1-1-1-111
χ17222222-12222-1-1-1222-1-122-1-1-12-1-12-1-1-100-1-1-1-122-1-122-1-1-1-1-1-1202222200220000002222-1-1-10-1-1-120200-1-1-1-100-1-100-1-1-1-1000000000
χ18222222-12222-1-1-1222-1-122-1-1-12-1-12-1-1-100-1-1-1-122-1-122-1-1-1-1-1-120-22-22200-2-2000000-2-2-2-2-1-1-101-1120-200-1-1110011001111000000000
χ19222222-12222-1-1-1222-1-122-1-1-12-1-12-1-1-100-1-1-1-122-1-122-1-1-1-1-1-1-202-22-2-20022000000-2-2-2-21110-11-1-2020011-1-100-1-1001111000000000
χ20222222-12222-1-1-1222-1-122-1-1-12-1-12-1-1-100-1-1-1-122-1-122-1-1-1-1-1-1-20-2-2-2-2-200-2-200000022221110111-20-2001111001100-1-1-1-1000000000
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χ24222222-12222-1-1-1222-1-1-22-1-1-12-1-12-11100-1-1-1-1-2-211-2-2111111-20-222-2-20022000000-2-22211101-1-120-200-1-1-1-1001100-1-111000000000
χ2522222-12-122-1222-12-12-12-12-1-1-12-1-122222-1-1-1-1-12-1-1-1-122-1-1-1-122020-1-12200-1-1002200002-1-1-1020-120-1-1-1-100-1-100020000-1-10000-100
χ2622222-12-122-1222-12-12-12-12-1-1-12-1-122222-1-1-1-1-12-1-1-1-122-1-1-1-1-220-20112200-1-100-2-20000-211-10-20120-1-11100-1-1000-20000110000100
χ2722222-12-122-1222-12-12-12-12-1-1-12-1-1222-2-2-1-1-1-1-12-1-1-1-122-1-1-1-12-2020-1-1-2-2001100-2-200002-1-11020-1-2011-1-10011000-20000110000100
χ2822222-12-122-1222-12-12-12-12-1-1-12-1-1222-2-2-1-1-1-1-12-1-1-1-122-1-1-1-1-2-20-2011-2-2001100220000-21110-201-201111001100020000-1-10000-100
χ2922222-12-122-1222-12-12-1-2-12-1-1-12-1-12-2-222-1-1-1-11-21111-2-211112-20-20-1-12200-1-1002200002-1-110-201-20-1-1110011000-20000-1-10000100
χ3022222-12-122-1222-12-12-1-2-12-1-1-12-1-12-2-222-1-1-1-11-21111-2-21111-2-2020112200-1-100-2-20000-2111020-1-20-1-1-1-1001100020000110000-100
χ3122222-12-122-1222-12-12-1-2-12-1-1-12-1-12-2-2-2-2-1-1-1-11-21111-2-21111220-20-1-1-2-2001100-2-200002-1-1-10-20120111100-1-100020000110000-100
χ3222222-12-122-1222-12-12-1-2-12-1-1-12-1-12-2-2-2-2-1-1-1-11-21111-2-21111-2202011-2-2001100220000-211-1020-12011-1-100-1-1000-20000-1-10000100
χ332222-1222-1-122222-1-1-122-1-122-1-12-1-12222-1-1-1-12-122-1-1-1-1-1-1-1-10220200-1-1-1-1222200000000022020-1-1-1-100-1-1-1-1-1-120000000-1-1000-10
χ342222-1222-1-122222-1-1-122-1-122-1-12-1-12222-1-1-1-12-122-1-1-1-1-1-1-1-102-20-200-1-11122-2-20000000002-20-20-11-1-10011-1-111-200000001100010
χ352222-1222-1-122222-1-1-122-1-122-1-12-1-122-2-2-1-1-1-12-122-1-1-1-1-1-1-1-10-22020011-1-1-2-2-2-2000000000-220201-11100-1-111-1-1-200000001100010
χ362222-1222-1-122222-1-1-122-1-122-1-12-1-122-2-2-1-1-1-12-122-1-1-1-1-1-1-1-10-2-20-2001111-2-222000000000-2-20-2011110011111120000000-1-1000-10
χ372222-1222-1-122222-1-1-12-2-1-122-1-12-1-1-2-222-1-1-1-1-21-2-2111111110-220-200-1-11122-2-2000000000-220-201-1-1-1001111-1-12000000011000-10
χ382222-1222-1-122222-1-1-12-2-1-122-1-12-1-1-2-222-1-1-1-1-21-2-2111111110-2-20200-1-1-1-12222000000000-2-202011-1-100-1-11111-20000000-1-100010
χ392222-1222-1-122222-1-1-12-2-1-122-1-12-1-1-2-2-2-2-1-1-1-1-21-2-2111111110220-2001111-2-222000000000220-20-1-1110011-1-1-1-1-20000000-1-100010
χ402222-1222-1-122222-1-1-12-2-1-122-1-12-1-1-2-2-2-2-1-1-1-1-21-2-21111111102-2020011-1-1-2-2-2-20000000002-2020-111100-1-1-1-1112000000011000-10
χ4122-2-2222-2-2-222-2-2-222220-2-2-22-2-2-22200002-2-2200000000000000000000000002-22i−2i2i−2i000000000000000000000000002i−2i2i−2i2-200000
χ4222-2-2222-2-2-222-2-2-222220-2-2-22-2-2-22200002-2-2200000000000000000000000002-2−2i2i−2i2i00000000000000000000000000−2i2i−2i2i2-200000
χ4322-2-2222-2-2-222-2-2-222220-2-2-22-2-2-22200002-2-220000000000000000000000000-222i−2i−2i2i00000000000000000000000000−2i2i2i−2i-2200000
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χ452-22-2222-22-2-2-22-22-22220-22-2-22-22-2-2002-222-2-200000000000000000002-2002-20000002i−2i00000000002-200000000002i−2i0000002i−2i000
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χ1048-8-88-4-4-4-44-4444-44422202-22-2-22-2-2-243−4300-11-1100−232300−23233−33−300000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-4-44-4444-44422202-22-2-22-2-2-2−434300-11-110023−230023−23−33−3300000000000000000000000000000000000000000000000000000000

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