Finite Group Databasebeta

← Group #13168103

Character table — Group #13168103

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222222244444444444444444444446666666666888888888888121212121212121212121212121212121212121212121212121212121218181818181824242424242424242424363636363636363636363654547272108
order1222333446666666663336666666661212121212121212121222444412121212366612121212121212122446666661212121212121212121212121212121212121212226666666661212121212444441212121212124412122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-11-11111-1-111111111-1-11111111111-1-1-1-1-1-1-111-1-1-111-1-11-11-1-111-1-111-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-11111111111111-111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-11-1-1-111-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-11-1-11-1-1-1-1-1-111111
χ51111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-11-1-1111-1-111-11-1-11-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111111111111-1-1-1-1111111111111111111-11-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-111-1-11
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-11-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1111-11-1-111-1-11111-1-11
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
χ91111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111111-1-1-1-1-11-1-1-11-1-1-1-111111-1-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-11-1-11111-11-1-1-11111-1-1-111
χ111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-111
χ121111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-11-1-111-1-11111111-1-1111-1-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-111-111-1-1-1-11111111-1-1-1-11-11
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-111111-111-1-111-1-1-1-111-11-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-111-111-1-111-11-1-1-1111111-11-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-11111111111-1-1-1-1-1111111-1-1-11-1-1-1-111-1-11-11
χ17222222-122-122-122-1222-1-1-1-12-1-122-1-12222-1-122222222000000-1-1-1-1-1-1-1-1-1-1-1-120222-1-1-1-122-1-10000-1-1000000000022-1-1-1-12-1-1-1-12-1-1-1-10002000-1-10000000
χ18222222-122-122-122-1222-1-1-1-12-1-122-1-12222-1-122222222000000-1-1-1-1-1-1-1-1-1-1-1-1-20-222-1-11122-1-10000110000000000-2-21111-2-1-111-2-1-111000-2000110000000
χ19222222-122-122-122-1222-1-1-1-12-1-122-1-12222-1-12222-2-2-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1202-2-211-1-1-2-2110000-1-10000000000-2-21111211-1-1211-1-1000-2000110000000
χ20222222-122-122-122-1222-1-1-1-12-1-122-1-12222-1-12222-2-2-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-20-2-2-21111-2-211000011000000000022-1-1-1-1-21111-211110002000-1-10000000
χ21222222-1-2-2-122-122-1222-1-1-1-12-1-122-1-1-2-2-2-211-2-2-2-222-2-2000000-1-1-1-11111111120-222-1-1-1-1-2-211000011000000000022-1-1-1-12-1-1-1-1-21111000-2000110000000
χ22222222-1-2-2-122-122-1222-1-1-1-12-1-122-1-1-2-2-2-211-2-2-2-222-2-2000000-1-1-1-111111111-20222-1-111-2-2110000-1-10000000000-2-21111-2-1-111211-1-10002000-1-10000000
χ23222222-1-2-2-122-122-1222-1-1-1-12-1-122-1-1-2-2-2-211-2-2-2-2-2-222000000-1-1-1-11111111120-2-2-211-1-122-1-10000110000000000-2-21111211-1-1-2-1-1110002000-1-10000000
χ24222222-1-2-2-122-122-1222-1-1-1-12-1-122-1-1-2-2-2-211-2-2-2-2-2-222000000-1-1-1-111111111-202-2-2111122-1-10000-1-1000000000022-1-1-1-1-211112-1-1-1-1000-2000110000000
χ2522222-122222-122-122-1-12-12-1-12-1-1-12-122-1-122-1-1-1-10000222222-1-1-1-122-1-1-1-1-1-1222000022000022-1-122-1-1-1-1-1-1-1-1-1-1000000-100-1-1-100-1-10200200000000-1-10
χ2622222-122222-122-122-1-12-12-1-12-1-1-12-122-1-122-1-1-1-10000222222-1-1-1-122-1-1-1-1-1-1-22-20000-2-2000022-1-1-2-2-1-1-1-1-1-1-1-1-1-100000010011100110-200-200000000110
χ2722222-122222-122-122-1-12-12-1-12-1-1-12-122-1-122-1-1-1-10000-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-12-220000220000-2-211221111111111000000-100-1-1-100-1-10-200-200000000110
χ2822222-122222-122-122-1-12-12-1-12-1-1-12-122-1-122-1-1-1-10000-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-1-2-2-20000-2-20000-2-211-2-2111111111100000010011100110200200000000-1-10
χ2922222-12-2-222-122-122-1-12-12-1-12-1-1-12-1-2-211-2-211110000222222-1-1-1-1-2-21111112-2-20000220000-2-211-2-2-1-1-1-1-1-11111000000-100-1-1100110-200200000000-110
χ3022222-12-2-222-122-122-1-12-12-1-12-1-1-12-1-2-211-2-211110000222222-1-1-1-1-2-2111111-2-220000-2-20000-2-21122-1-1-1-1-1-1111100000010011-100-1-10200-2000000001-10
χ3122222-12-2-222-122-122-1-12-12-1-12-1-1-12-1-2-211-2-211110000-2-2-2-2-2-2-1-1-1-1-2-211111122-2000022000022-1-1-2-2111111-1-1-1-1000000-100-1-1100110200-2000000001-10
χ3222222-12-2-222-122-122-1-12-12-1-12-1-1-12-1-2-211-2-211110000-2-2-2-2-2-2-1-1-1-1-2-2111111-2220000-2-2000022-1-122111111-1-1-1-100000010011-100-1-10-200200000000-110
χ332222-122222-122-122-12-1-12-12-1-12-1-1-12-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-122-1-1-1-1020-1-12200-1-122-1-1220022-1-1-1-1-1-1-1-10000000-1-1000-1-10020200-1-100-1-100000
χ342222-122222-122-122-12-1-12-12-1-12-1-1-12-1-12222-1-1-1-12222-2-21111-1-1-1-1-1-122-1-1-1-10-20-1-12200-1-12211-2-200-2-2111111110000000-1-1000-1-100-20-20011001100000
χ352222-122222-122-122-12-1-12-12-1-12-1-1-12-1-12222-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-122-1-1-1-102011-2-20011-2-2-1-1220022-1-1-1-1-1-1-1-10000000110001100-20-20011001100000
χ362222-122222-122-122-12-1-12-12-1-12-1-1-12-1-12222-1-1-1-1-2-2-2-2-2-21111-1-1-1-1-1-122-1-1-1-10-2011-2-20011-2-211-2-200-2-211111111000000011000110020200-1-100-1-100000
χ372222-122-2-22-122-122-12-1-12-12-1-12-1-1-1211-2-2-2-2111122-2-222-1-1-1-1-1-1-1-111-2-211110-20-1-1220011-2-211-2-20022-1-1-1-111110000000-1-1000110020-2001100-1-100000
χ382222-122-2-22-122-122-12-1-12-12-1-12-1-1-1211-2-2-2-2111122-2-2-2-21111-1-1-1-111-2-21111020-1-1220011-2-2-1-12200-2-21111-1-1-1-10000000-1-10001100-20200-1-1001100000
χ392222-122-2-22-122-122-12-1-12-12-1-12-1-1-1211-2-2-2-21111-2-22222-1-1-1-1-1-1-1-111-2-211110-2011-2-200-1-12211-2-20022-1-1-1-11111000000011000-1-100-20200-1-1001100000
χ402222-122-2-22-122-122-12-1-12-12-1-12-1-1-1211-2-2-2-21111-2-222-2-21111-1-1-1-111-2-2111102011-2-200-1-122-1-12200-2-21111-1-1-1-1000000011000-1-10020-2001100-1-100000
χ4122-2-222200-2222-2-2-2-2-2222-2-2-2-2-22-222000000000000002i−2i2i2i−2i−2i22-2-20000000000000000000000000002i−2i2i2i−2i−2i00002-222-2-20000000000000000000002i−2i000
χ4222-2-222200-2222-2-2-2-2-2222-2-2-2-2-22-222000000000000002i−2i2i2i−2i−2i22-2-20000000000000000000000000002i−2i2i2i−2i−2i0000-22-2-222000000000000000000000−2i2i000
χ4322-2-222200-2222-2-2-2-2-2222-2-2-2-2-22-22200000000000000−2i2i−2i−2i2i2i22-2-2000000000000000000000000000−2i2i−2i−2i2i2i00002-222-2-2000000000000000000000−2i2i000
χ4422-2-222200-2222-2-2-2-2-2222-2-2-2-2-22-22200000000000000−2i2i−2i−2i2i2i22-2-2000000000000000000000000000−2i2i−2i−2i2i2i0000-22-2-2220000000000000000000002i−2i000
χ452-22-22222i−2i2-2-2-2-2-2-22222222-2-2-2-22-2-22i−2i2i−2i2i−2i2i2i−2i−2i2-22i−2i0000002-22-22i−2i2i−2i2i2i−2i−2i0002-22-2002i−2i2i−2i000000000000000000000002-20002i−2i000000000000000000
χ462-22-22222i−2i2-2-2-2-2-2-22222222-2-2-2-22-2-22i−2i2i−2i2i−2i2i2i−2i−2i-22−2i2i0000002-22-22i−2i2i−2i2i2i−2i−2i000-22-2200−2i2i−2i2i00000000000000000000000-22000−2i2i000000000000000000
χ472-22-2222−2i2i2-2-2-2-2-2-22222222-2-2-2-22-2-2−2i2i−2i2i−2i2i−2i−2i2i2i2-2−2i2i0000002-22-2−2i2i−2i2i−2i−2i2i2i0002-22-200−2i2i−2i2i000000000000000000000002-2000−2i2i000000000000000000
χ482-22-2222−2i2i2-2-2-2-2-2-22222222-2-2-2-22-2-2−2i2i−2i2i−2i2i−2i−2i2i2i-222i−2i0000002-22-2−2i2i−2i2i−2i−2i2i2i000-22-22002i−2i2i−2i00000000000000000000000-220002i−2i000000000000000000
χ492-22-222-12i−2i-1-2-21-2-21222-1-1-1-1-211-22112i−2i2i−2i−ii2i2i−2i−2i2-22i−2i000000-11-11−ii−ii−i−iii0002-2-11−i3i32i−2i−ii00003−3000000000000−i3i3−i3i30-11−i3i30−ii3−300000003−30000000
χ502-22-222-12i−2i-1-2-21-2-21222-1-1-1-1-211-22112i−2i2i−2i−ii2i2i−2i−2i2-22i−2i000000-11-11−ii−ii−i−iii0002-2-11i3−i32i−2i−ii0000−33000000000000i3−i3i3−i30-11i3−i30−ii−330000000−330000000
χ512-22-222-12i−2i-1-2-21-2-21222-1-1-1-1-211-22112i−2i2i−2i−ii2i2i−2i−2i-22−2i2i000000-11-11−ii−ii−i−iii000-221-1−i3i3−2i2ii−i00003−3000000000000i3−i3i3−i301-1−i3i30i−i3−30000000−330000000
χ522-22-222-12i−2i-1-2-21-2-21222-1-1-1-1-211-22112i−2i2i−2i−ii2i2i−2i−2i-22−2i2i000000-11-11−ii−ii−i−iii000-221-1i3−i3−2i2ii−i0000−33000000000000−i3i3−i3i301-1i3−i30i−i−3300000003−30000000
χ532-22-222-1−2i2i-1-2-21-2-21222-1-1-1-1-211-2211−2i2i−2i2ii−i−2i−2i2i2i2-2−2i2i000000-11-11i−ii−iii−i−i0002-2-11−i3i3−2i2ii−i0000−33000000000000−i3i3−i3i30-11−i3i30i−i−330000000−330000000
χ542-22-222-1−2i2i-1-2-21-2-21222-1-1-1-1-211-2211−2i2i−2i2ii−i−2i−2i2i2i2-2−2i2i000000-11-11i−ii−iii−i−i0002-2-11i3−i3−2i2ii−i00003−3000000000000i3−i3i3−i30-11i3−i30i−i3−300000003−30000000
χ552-22-222-1−2i2i-1-2-21-2-21222-1-1-1-1-211-2211−2i2i−2i2ii−i−2i−2i2i2i-222i−2i000000-11-11i−ii−iii−i−i000-221-1−i3i32i−2i−ii0000−33000000000000i3−i3i3−i301-1−i3i30−ii−3300000003−30000000
χ562-22-222-1−2i2i-1-2-21-2-21222-1-1-1-1-211-2211−2i2i−2i2ii−i−2i−2i2i2i-222i−2i000000-11-11i−ii−iii−i−i000-221-1i3−i32i−2i−ii00003−3000000000000−i3i3−i3i301-1i3−i30−ii3−30000000−330000000
χ572-22-2-1222i−2i21-2-21-2-2-12-1-12-1211-21-11-2−ii2i−2i2i−2i−i−iii2-22i−2i00−i3i3−i3i3-11-11−ii2i−2i−i−iii000-112-200−ii2i−2i3−3000000−i3i3−i3i333−3−30000000-11000−ii00000003−300−i3i300000
χ582-22-2-1222i−2i21-2-21-2-2-12-1-12-1211-21-11-2−ii2i−2i2i−2i−i−iii2-22i−2i00i3−i3i3−i3-11-11−ii2i−2i−i−iii000-112-200−ii2i−2i−33000000i3−i3i3−i3−3−3330000000-11000−ii0000000−3300i3−i300000
χ592-22-2-1222i−2i21-2-21-2-2-12-1-12-1211-21-11-2−ii2i−2i2i−2i−i−iii-22−2i2i00−i3i3−i3i3-11-11−ii2i−2i−i−iii0001-1-2200i−i−2i2i3−3000000−i3i3−i3i333−3−300000001-1000i−i0000000−3300i3−i300000
χ602-22-2-1222i−2i21-2-21-2-2-12-1-12-1211-21-11-2−ii2i−2i2i−2i−i−iii-22−2i2i00i3−i3i3−i3-11-11−ii2i−2i−i−iii0001-1-2200i−i−2i2i−33000000i3−i3i3−i3−3−33300000001-1000i−i00000003−300−i3i300000
χ612-22-2-122−2i2i21-2-21-2-2-12-1-12-1211-21-11-2i−i−2i2i−2i2iii−i−i2-2−2i2i00−i3i3−i3i3-11-11i−i−2i2iii−i−i000-112-200i−i−2i2i−33000000−i3i3−i3i3−3−3330000000-11000i−i0000000−3300−i3i300000
χ622-22-2-122−2i2i21-2-21-2-2-12-1-12-1211-21-11-2i−i−2i2i−2i2iii−i−i2-2−2i2i00i3−i3i3−i3-11-11i−i−2i2iii−i−i000-112-200i−i−2i2i3−3000000i3−i3i3−i333−3−30000000-11000i−i00000003−300i3−i300000
χ632-22-2-122−2i2i21-2-21-2-2-12-1-12-1211-21-11-2i−i−2i2i−2i2iii−i−i-222i−2i00−i3i3−i3i3-11-11i−i−2i2iii−i−i0001-1-2200−ii2i−2i−33000000−i3i3−i3i3−3−33300000001-1000−ii00000003−300i3−i300000
χ642-22-2-122−2i2i21-2-21-2-2-12-1-12-1211-21-11-2i−i−2i2i−2i2iii−i−i-222i−2i00i3−i3i3−i3-11-11i−i−2i2iii−i−i0001-1-2200−ii2i−2i3−3000000i3−i3i3−i333−3−300000001-1000−ii0000000−3300−i3i300000
χ6544444-2-244-24-2-24-2-24-2-2-21-21-2-21-2-2-2144-2-2-2-2-2-2-2-200000000001111-2-21111114040000-2-200000000-2-20000000000000000-20011-200110000000000000000
χ6644444-2-244-24-2-24-2-24-2-2-21-21-2-21-2-2-2144-2-2-2-2-2-2-2-200000000001111-2-2111111-40-400002200000000220000000000000000200-1-1200-1-10000000000000000
χ6744444-2-2-4-4-24-2-24-2-24-2-2-21-21-2-21-2-2-21-4-4222222220000000000111122-1-1-1-1-1-140-40000-2-200000000220000000000000000-20011200-1-10000000000000000
χ6844444-2-2-4-4-24-2-24-2-24-2-2-21-21-2-21-2-2-21-4-4222222220000000000111122-1-1-1-1-1-1-40400002200000000-2-20000000000000000200-1-1-200110000000000000000
χ694444-24-244-2-24-2-24-2-24-21-21-2-21-2-2-21-2-2-244-2-2-2-2-2-24444000000111111-2-21111000-2-2-2-200-2-2-2-2000000000000000000000001100011000000000000000000
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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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χ1238-8-88-4-4-4004444-4-4-444222-2-2222-2-2-2-2000000-666-60000000000-111-100003-3-330000000000000000000000000000000000000000000000000000000000000

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