Finite Group Databasebeta

← Group #13168701

Character table — Group #13168701

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size11112222222222222222224444444444444444444444446666666666666666888888888812121212121212121212121212121212121212121212121212121212121212121212121212121818242424243636363636363636363636363636363636108108
order12223334466666666612121212333666666666121212121212121212121212222244446666666636661212121212124466666666666612121212121212121212121212121212121212121212121244121212124444412121212121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-111111111-1-1-1-111111111111-111-1-11111-1-1-1-111-1-111-1-1111111111111-1-1-1-1-1-11111-111-1-1-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-111111111111-111-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111111111-1-1111111-1-1-1-111111111111111-11-1-111-1-1-1-11111-1-111-1-11111111111-1-1-1-11111-1-11111-1-1-111-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111111111111111-11-1-111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111111-1-1
χ91111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-11-111-1-111-1-111-1-11-1
χ101111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11-1111-1-1-1-111-1-111-11
χ111111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11-1-11111-1-1-1-111-11
χ121111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111-111-1-1-111-1-11111-1-11-1
χ131111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11-1-1-111-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11-111-1-1-111-1-11111-1-1-11
χ141111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-11-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11-1-11111-1-1-1-1111-1
χ151111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-11-1111-1-1-1-111-1-1111-1
χ161111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111-1-111-11-11-111-1-111-1-111-1-1-11
χ17222222-1222222-1-1-122-1-1-1-12-1-12-1-1-1-12-1-122222-1-1-1-1-1-1-1-12222000022222222-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-100000000-1-1-1-1-1-1-1-122000020000-1-1-1-10000000000
χ18222222-1222222-1-1-122-1-1-1-12-1-12-1-1-1-12-1-122222-1-1-1-1-1-1-1-122-2-200002222-2-2-2-2-1-1-1-122-1-1-1-12-2-1-111-1-1-1-1111122-2-2-1-11100000000-1-1-1-11111-2-20000-2000011110000000000
χ19222222-1222222-1-1-122-1-1-1-12-1-12-1-1-1-12-1-122222-1-1-1-1-1-1-1-1-2-2220000-2-2-2-22222-1-1-1-122-1-1-1-1-2211-1-11111-1-1-1-1-2-22211-1-1000000001111-1-1-1-1-2-20000-2000011110000000000
χ20222222-1222222-1-1-122-1-1-1-12-1-12-1-1-1-12-1-122222-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-2-2-2-2-2-1-1-1-122-1-1-1-1-2-2111111111111-2-2-2-21111000000001111111122000020000-1-1-1-10000000000
χ21222222-1-2-22222-1-1-12211112-1-12-1-1-1-12-1-12-2-2-2-2111111112222000022222222-1-1-1-1-2-21111-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211110000000011111111220000-20000-1-1110000000000
χ22222222-1-2-22222-1-1-12211112-1-12-1-1-1-12-1-12-2-2-2-21111111122-2-200002222-2-2-2-2-1-1-1-1-2-21111-22-1-111-1-1-1-11111-2-22211-1-1000000001111-1-1-1-1-2-200002000011-1-10000000000
χ23222222-1-2-22222-1-1-12211112-1-12-1-1-1-12-1-12-2-2-2-211111111-2-2220000-2-2-2-22222-1-1-1-1-2-211112-211-1-11111-1-1-1-122-2-2-1-11100000000-1-1-1-11111-2-200002000011-1-10000000000
χ24222222-1-2-22222-1-1-12211112-1-12-1-1-1-12-1-12-2-2-2-211111111-2-2-2-20000-2-2-2-2-2-2-2-2-1-1-1-1-2-21111221111111111112222-1-1-1-100000000-1-1-1-1-1-1-1-1220000-20000-1-1110000000000
χ2522222-12222-12-12222-12222-12-1-122-1-1-12-1-122-1-12222-1-1-1-1002222220000-1-1-1-1-1-1-1-1-1-1-1-1-1-10200220000-1-1-1-100-1-1002222-1-122-1-10000-1-1-1-100-1-1-1-10002200000000-1-1-1-100
χ2622222-12222-12-12222-12222-12-1-122-1-1-12-1-122-1-12222-1-1-1-10022-2-2-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-10200220000-1-1-1-100-1-10022-2-211-2-2110000-1-1-1-1001111000-2-200000000111100
χ2722222-12222-12-12222-12222-12-1-122-1-1-12-1-122-1-12222-1-1-1-100-2-2222200001111-1-1-1-1-1-1-1-1-1-10-200-2-200001111001100-2-222-1-122-1-10000111100-1-1-1-1000-2-200000000111100
χ2822222-12222-12-12222-12222-12-1-122-1-1-12-1-122-1-12222-1-1-1-100-2-2-2-2-2-200001111-1-1-1-1-1-1-1-1-1-10-200-2-200001111001100-2-2-2-211-2-211000011110011110002200000000-1-1-1-100
χ2922222-12-2-22-12-12222-1-2-2-2-2-12-1-122-1-1-12-1-1-2-211-2-2-2-21111002222-2-20000-1-1-1-1-1-1-1-11111110-200220000-1-1-1-1001100-2-222-1-1-2-2110000111100-1-1110002-200000000-1-11100
χ3022222-12-2-22-12-12222-1-2-2-2-2-12-1-122-1-1-12-1-1-2-211-2-2-2-211110022-2-2220000-1-1-1-1-1-1-1-11111110-200220000-1-1-1-1001100-2-2-2-21122-1-1000011110011-1-1000-220000000011-1-100
χ3122222-12-2-22-12-12222-1-2-2-2-2-12-1-122-1-1-12-1-1-2-211-2-2-2-2111100-2-222-2-200001111-1-1-1-11111110200-2-20000111100-1-1002222-1-1-2-2110000-1-1-1-100-1-111000-220000000011-1-100
χ3222222-12-2-22-12-12222-1-2-2-2-2-12-1-122-1-1-12-1-1-2-211-2-2-2-2111100-2-2-2-22200001111-1-1-1-11111110200-2-20000111100-1-10022-2-21122-1-10000-1-1-1-10011-1-10002-200000000-1-11100
χ332222-12222-12-12222-122222-1-12-1-1-122-1-12-1-1-122-1-1-1-1222222002222-1-1-1-10000-1-1-1-1-1-1-1-1-1-1202200-1-1-1-10000-1-1002200-1-122-1-122-1-1-1-1000000-1-1-1-1022000000-1-1-1-1000000
χ342222-12222-12-12222-122222-1-12-1-1-122-1-12-1-1-122-1-1-1-122222200-2-2-2-2-1-1-1-10000-1-1-1-1-1-1-1-1-1-1202200-1-1-1-10000-1-100220011-2-211-2-2-1-1-1-100000011110-2-20000001111000000
χ352222-12222-12-12222-122222-1-12-1-1-122-1-12-1-1-122-1-1-1-12222-2-200222211110000-1-1-1-1-1-1-1-1-1-1-20-2-200111100001100-2-200-1-122-1-1221111000000-1-1-1-10-2-20000001111000000
χ362222-12222-12-12222-122222-1-12-1-1-122-1-12-1-1-122-1-1-1-12222-2-200-2-2-2-211110000-1-1-1-1-1-1-1-1-1-1-20-2-200111100001100-2-20011-2-211-2-211110000001111022000000-1-1-1-1000000
χ372222-122-2-2-12-12222-12-2-2-2-2-1-12-1-1-122-1-12-111-2-21111-2-2-2-2220022-2-2-1-1-1-10000-1-1-1-1111111-202200-1-1-1-100001100-2-200-1-12211-2-21111000000-1-11102-2000000-1-111000000
χ382222-122-2-2-12-12222-12-2-2-2-2-1-12-1-1-122-1-12-111-2-21111-2-2-2-22200-2-222-1-1-1-10000-1-1-1-1111111-202200-1-1-1-100001100-2-20011-2-2-1-122111100000011-1-10-2200000011-1-1000000
χ392222-122-2-2-12-12222-12-2-2-2-2-1-12-1-1-122-1-12-111-2-21111-2-2-2-2-2-20022-2-211110000-1-1-1-111111120-2-20011110000-1-1002200-1-12211-2-2-1-1-1-1000000-1-1110-2200000011-1-1000000
χ402222-122-2-2-12-12222-12-2-2-2-2-1-12-1-1-122-1-12-111-2-21111-2-2-2-2-2-200-2-22211110000-1-1-1-111111120-2-20011110000-1-100220011-2-2-1-122-1-1-1-100000011-1-102-2000000-1-111000000
χ4122-2-22220022-2-2-22-2-2-2000022222-22-2-2-2-2-20000000000002-22-2000022-2-222-2-222-2-2000000002-22-222-2-222-2-20000000000000000000000002-20000000002-2000000000000
χ4222-2-22220022-2-2-22-2-2-2000022222-22-2-2-2-2-20000000000002-2-22000022-2-2-2-22222-2-2000000002-2-2222-2-2-2-222000000000000000000000000-22000000000-22000000000000
χ4322-2-22220022-2-2-22-2-2-2000022222-22-2-2-2-2-2000000000000-222-20000-2-22222-2-222-2-200000000-222-2-2-22222-2-2000000000000000000000000-22000000000-22000000000000
χ4422-2-22220022-2-2-22-2-2-2000022222-22-2-2-2-2-2000000000000-22-220000-2-222-2-22222-2-200000000-22-22-2-222-2-2220000000000000000000000002-20000000002-2000000000000
χ4522-2-222-10022-2-21-11-2-233−3−32-1-12-11-11-211-2000033−3−333−3−32-22-2000022-2-222-2-2-1-1110033−3−300-11-11-1-111-1-11100003−33−30000000033−3−333−3−32-2000000000-113−30000000000
χ4622-2-222-10022-2-21-11-2-233−3−32-1-12-11-11-211-2000033−3−333−3−32-2-22000022-2-2-2-222-1-1110033−3−300-111-1-1-11111-1-100003−3−330000000033−3−3−3−333-220000000001-1−330000000000
χ4722-2-222-10022-2-21-11-2-233−3−32-1-12-11-11-211-2000033−3−333−3−3-222-20000-2-22222-2-2-1-1110033−3−3001-1-1111-1-1-1-1110000−333−300000000−3−33333−3−3-220000000001-1−330000000000
χ4822-2-222-10022-2-21-11-2-233−3−32-1-12-11-11-211-2000033−3−333−3−3-22-220000-2-222-2-222-1-1110033−3−3001-11-111-1-111-1-10000−33−3300000000−3−333−3−3332-2000000000-113−30000000000
χ4922-2-222-10022-2-21-11-2-2−3−3332-1-12-11-11-211-20000−3−333−3−3332-22-2000022-2-222-2-2-1-11100−3−33300-11-11-1-111-1-1110000−33−3300000000−3−333−3−3332-2000000000-11−330000000000
χ5022-2-222-10022-2-21-11-2-2−3−3332-1-12-11-11-211-20000−3−333−3−3332-2-22000022-2-2-2-222-1-11100−3−33300-111-1-1-11111-1-10000−333−300000000−3−33333−3−3-220000000001-13−30000000000
χ5122-2-222-10022-2-21-11-2-2−3−3332-1-12-11-11-211-20000−3−333−3−333-222-20000-2-22222-2-2-1-11100−3−333001-1-1111-1-1-1-11100003−3−330000000033−3−3−3−333-220000000001-13−30000000000
χ5222-2-222-10022-2-21-11-2-2−3−3332-1-12-11-11-211-20000−3−333−3−333-22-220000-2-222-2-222-1-11100−3−333001-11-111-1-111-1-100003−33−30000000033−3−333−3−32-2000000000-11−330000000000
χ532-2-222222-2-2-2222-2-2-2-22-22-2222-2-2-2-2-2222-22-22-22-22-22-22-200002i−2i2i−2i000000002-2-222-22-22-200000000000000000000002i−2i2i−2i2i−2i2i−2i00000000002i−2i2i−2i0000000000000000000
χ542-2-222222-2-2-2222-2-2-2-22-22-2222-2-2-2-2-2222-22-22-22-22-22-22-20000−2i2i−2i2i000000002-2-222-22-22-20000000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000−2i2i−2i2i0000000000000000000
χ552-2-22222-22-2-2222-2-2-2-2-22-22222-2-2-2-2-2222-2-22-22-22-22-22-2200002i−2i−2i2i000000002-2-22-22-22-2200000000000000000000002i−2i2i−2i−2i2i−2i2i00000000002i−2i−2i2i0000000000000000000
χ562-2-22222-22-2-2222-2-2-2-2-22-22222-2-2-2-2-2222-2-22-22-22-22-22-220000−2i2i2i−2i000000002-2-22-22-22-220000000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000−2i2i2i−2i0000000000000000000
χ572-2-222-122-2-212-12-2-2-212-22-2-12-11-2-211-12-112-2-112-22-2-11-1100002i−2i2i−2i0000−i3i3−i3i3-111-1-11-11-110000000000−i3i3−i3i300−i3i300002i−2i−ii2i−2i−ii0000−i3i3−i3i300−ii−ii00000000000003−33−300
χ582-2-222-122-2-212-12-2-2-212-22-2-12-11-2-211-12-112-2-112-22-2-11-1100002i−2i2i−2i0000i3−i3i3−i3-111-1-11-11-110000000000i3−i3i3−i300i3−i300002i−2i−ii2i−2i−ii0000i3−i3i3−i300−ii−ii0000000000000−33−3300
χ592-2-222-122-2-212-12-2-2-212-22-2-12-11-2-211-12-112-2-112-22-2-11-110000−2i2i−2i2i0000−i3i3−i3i3-111-1-11-11-110000000000−i3i3−i3i300−i3i30000−2i2ii−i−2i2ii−i0000−i3i3−i3i300i−ii−i0000000000000−33−3300
χ602-2-222-122-2-212-12-2-2-212-22-2-12-11-2-211-12-112-2-112-22-2-11-110000−2i2i−2i2i0000i3−i3i3−i3-111-1-11-11-110000000000i3−i3i3−i300i3−i30000−2i2ii−i−2i2ii−i0000i3−i3i3−i300i−ii−i00000000000003−33−300
χ612-2-222-12-22-212-12-2-2-21-22-22-12-11-2-211-12-11-221-1-22-221-11-100002i−2i−2i2i0000−i3i3−i3i3-111-11-11-11-10000000000−i3i3−i3i300i3−i300002i−2i−ii−2i2ii−i0000i3−i3i3−i300−iii−i00000000000003−3−3300
χ622-2-222-12-22-212-12-2-2-21-22-22-12-11-2-211-12-11-221-1-22-221-11-100002i−2i−2i2i0000i3−i3i3−i3-111-11-11-11-10000000000i3−i3i3−i300−i3i300002i−2i−ii−2i2ii−i0000−i3i3−i3i300−iii−i0000000000000−333−300
χ632-2-222-12-22-212-12-2-2-21-22-22-12-11-2-211-12-11-221-1-22-221-11-10000−2i2i2i−2i0000−i3i3−i3i3-111-11-11-11-10000000000−i3i3−i3i300i3−i30000−2i2ii−i2i−2i−ii0000i3−i3i3−i300i−i−ii0000000000000−333−300
χ642-2-222-12-22-212-12-2-2-21-22-22-12-11-2-211-12-11-221-1-22-221-11-10000−2i2i2i−2i0000i3−i3i3−i3-111-11-11-11-10000000000i3−i3i3−i300−i3i30000−2i2ii−i2i−2i−ii0000−i3i3−i3i300i−i−ii00000000000003−3−3300
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χ1124-4-4444-24-4-4-444-222-4-4-22-224-2-2-422224-2-2-44-44-4-22-22-22-220000000000000000-222-24-4-22-22000000000000000000000000000000000000000000000000000000000000000
χ1134-4-4444-2-44-4-444-222-4-42-22-24-2-2-422224-2-2-4-44-442-22-22-22-20000000000000000-222-2-442-22-2000000000000000000000000000000000000000000000000000000000000000
χ1144-4-444-2-24-4-424-2-222-42-22-22-2-21222-1-1-2-2124-4-22-22-221-11-1000000000000−2i32i3−2i32i31-1-11-221-11-10000000000i3−i3i3−i300−2i32i30000000000000000i3−i3i3−i30000000000000000000000000
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χ1224-4-44-2-244-422-2-24-4-4224-44-41-2-2-122221-2-2-1-22-22-22-22-22-2200004i−4i4i−4i000000001-1-111-11-11-10000000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000i−ii−i0000000000000000000
χ1234-4-44-2-244-422-2-24-4-4224-44-41-2-2-122221-2-2-1-22-22-22-22-22-220000−4i4i−4i4i000000001-1-111-11-11-100000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000−ii−ii0000000000000000000
χ1244-4-44-2-24-4422-2-24-4-422-44-441-2-2-122221-2-2-12-22-22-22-22-22-200004i−4i−4i4i000000001-1-11-11-11-110000000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000i−i−ii0000000000000000000
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χ1268888-4-4-488-4-4-4-4-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4222222220000000000000000-1-1-1-122-1-1-1-1000000000000000000000000000000000000000000000000000000000000000
χ1278888-4-4-4-8-8-4-4-4-4-4-4-4-4-444442222222222224444-2-2-2-2-2-2-2-20000000000000000-1-1-1-1-2-21111000000000000000000000000000000000000000000000000000000000000000
χ12888-8-8-4-4800-4-444-88-84400002-4-42-44-44-244-2000000000000000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
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χ13088-8-8-4-4-400-4-4444-4444−43−43434322222-22-2-2-2-2-200002323−23−232323−23−230000000000000000-1-11100−3−333000000000000000000000000000000000000000000000000000000000000000
χ1318-88-8-4-48004444-8-88-4-400002-4-4-24-44-4-244200000000000000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1328-88-8-4-4-400444444-4-4-443−43−4343222-2-22-22-2-2-220000−232323−23−232323−230000000000000000-11-11003−3−33000000000000000000000000000000000000000000000000000000000000000
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χ1348-8-88-4-4-48-844-4-4-44444-44-44222-2-2-2-2-2222-2-44-442-22-22-22-20000000000000000-111-12-2-11-11000000000000000000000000000000000000000000000000000000000000000
χ1358-8-88-4-4-4-8844-4-4-444444-44-4222-2-2-2-2-2222-24-44-4-22-22-22-220000000000000000-111-1-221-11-1000000000000000000000000000000000000000000000000000000000000000

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