Finite Group Databasebeta

← Group #13168033

Character table — Group #13168033

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size11112222222222222222224444444444444444444444446666666666666666888888888812121212121212121212121212121212121212121212121212121212121212121212121212121818242424243636363636363636363636363636363636108108
order122233344666666666121212123336666666661212121212121212121212122222224466661212121236661212121212122466666666666666666666661212121212121212121212121212446666224446666121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-11111-1-1-1-11111111111-1111-1-11111-1-111111111-1-1-1-11111-1-11111-1-1-1-1-1-1111111-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-111-1-1-1-1111111111111111-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-1-111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111-1-1-1-111-1-11111-1-1-1-11111111111-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1111111111111111-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-111
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
χ91111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-11-1-11-111-1-111-1-111-1-11-1
χ101111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11-1111111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-1111-1-1-1-111-1-111-11
χ111111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1111-1-1-111-1-11111-1-1-11
χ121111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-11-1-11-1-11111-1-1-1-1111-1
χ131111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-11-1-11-1-11111-1-1-1-111-11
χ141111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-11-11111-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-1-111-1-11111-1-11-1
χ151111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1111-11-1111-1-1-1-111-1-1111-1
χ161111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111-1-111-1-1-1-111111111-1-11111-1-1-1-111-1-1111-1-11-111-1-111-1-111-1-1-11
χ17222222-12222-1-1-1222222222-1-122-1-1-1-1-12-1-1-1222222-1-1-1-122222200-1-1-1-10000-1-1-1-1-1-1-1-1-1-1022200222200-1-1-1-1-1-1-1-10000-1-12200-1-1-1-1000000-1-1-1-122000-1-1-1-10000000000
χ18222222-12222-1-1-1222222222-1-122-1-1-1-1-12-1-1-1222222-1-1-1-12222-2-20011110000-1-1-1-1-1-1-1-1-1-10-2-2-200222200-1-1-1-11111000011-2-2001111000000-1-1-1-1-2-200011110000000000
χ19222222-12222-1-1-1222222222-1-122-1-1-1-1-12-1-1-1222222-1-1-1-1-2-2-2-22200-1-1-1-10000-1-1-1-1-1-1-1-1-1-1022200-2-2-2-2001111-1-1-1-10000-1-12200-1-1-1-10000001111-2-200011110000000000
χ20222222-12222-1-1-1222222222-1-122-1-1-1-1-12-1-1-1222222-1-1-1-1-2-2-2-2-2-20011110000-1-1-1-1-1-1-1-1-1-10-2-2-200-2-2-2-20011111111000011-2-2001111000000111122000-1-1-1-10000000000
χ21222222-1-2-222-1-1-12222-2-2-2-22-1-122-1-1-1-1-12-111-2-2-2-2-2-2111122-2-22200-1-1-1-10000-1-1-1-11111110-2220022-2-200-1-111-1-1-1-1000011-2-2001111000000-1-1112-2000-1-1110000000000
χ22222222-1-2-222-1-1-12222-2-2-2-22-1-122-1-1-1-1-12-111-2-2-2-2-2-2111122-2-2-2-20011110000-1-1-1-111111102-2-20022-2-200-1-11111110000-1-12200-1-1-1-1000000-1-111-2200011-1-10000000000
χ23222222-1-2-222-1-1-12222-2-2-2-22-1-122-1-1-1-1-12-111-2-2-2-2-2-21111-2-2222200-1-1-1-10000-1-1-1-11111110-22200-2-2220011-1-1-1-1-1-1000011-2-200111100000011-1-1-2200011-1-10000000000
χ24222222-1-2-222-1-1-12222-2-2-2-22-1-122-1-1-1-1-12-111-2-2-2-2-2-21111-2-222-2-20011110000-1-1-1-111111102-2-200-2-2220011-1-111110000-1-12200-1-1-1-100000011-1-12-2000-1-1110000000000
χ2522222-1222-1-1222222-12222-12-1-1-122-1-1-1-1222-1-1-1-1-1-12222222200220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1200022-1-1-1-1-1-122220000-1-1-1-10000220000-1-1-1-100-1-1-1-10002200000000-1-1-1-100
χ2622222-1222-1-1222222-12222-12-1-1-122-1-1-1-1222-1-1-1-1-1-12222222200-2-200001111-1-1-1-1-1-1-1-1-1-1-2000-2-2-1-1-1-1112222000011110000-2-20000111100-1-1-1-1000-2-200000000111100
χ2722222-1222-1-1222222-12222-12-1-1-122-1-1-1-1222-1-1-1-1-1-12222-2-2-2-200220000-1-1-1-1-1-1-1-1-1-1-1-1-1-12000221111-1-1-2-2-2-20000-1-1-1-10000220000-1-1-1-1001111000-2-200000000111100
χ2822222-1222-1-1222222-12222-12-1-1-122-1-1-1-1222-1-1-1-1-1-12222-2-2-2-200-2-200001111-1-1-1-1-1-1-1-1-1-1-2000-2-2111111-2-2-2-2000011110000-2-2000011110011110002200000000-1-1-1-100
χ2922222-12-2-2-1-1222222-1-2-2-2-2-12-1-1-122-1-1-1-12-2-2111111-2-2-2-222-2-200220000-1-1-1-1-1-1-1-1111111-2000-2-2-1-1111122-2-2000011110000220000-1-1-1-100-1-1110002-200000000-1-11100
χ3022222-12-2-2-1-1222222-1-2-2-2-2-12-1-1-122-1-1-1-12-2-2111111-2-2-2-222-2-200-2-200001111-1-1-1-1111111200022-1-111-1-122-2-20000-1-1-1-10000-2-20000111100-1-111000-220000000011-1-100
χ3122222-12-2-2-1-1222222-1-2-2-2-2-12-1-1-122-1-1-1-12-2-2111111-2-2-2-2-2-22200220000-1-1-1-1-1-1-1-1111111-2000-2-211-1-111-2-222000011110000220000-1-1-1-10011-1-1000-220000000011-1-100
χ3222222-12-2-2-1-1222222-1-2-2-2-2-12-1-1-122-1-1-1-12-2-2111111-2-2-2-2-2-22200-2-200001111-1-1-1-111111120002211-1-1-1-1-2-2220000-1-1-1-10000-2-2000011110011-1-10002-200000000-1-11100
χ332222-1222222222-1-1-12-1-1-1-1-1-12-1-1-1-1222-1-12222-1-1-1-1-1-1-1-10000222222222222-1-1-1-122-1-1-1-122-1-1-1-10000220000-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1220000002000000-1-1-1-1000000
χ342222-1222222222-1-1-12-1-1-1-1-1-12-1-1-1-1222-1-12222-1-1-1-1-1-1-1-1000022-2-22222-2-2-2-2-1-1-1-122-1-1-1-1-22-1-1110000-2-20000-1-1-1-1111122-1-111-1-1-1-11111-2-2000000-20000001111000000
χ352222-1222222222-1-1-12-1-1-1-1-1-12-1-1-1-1222-1-12222-1-1-1-1-1-1-1-10000-2-222-2-2-2-22222-1-1-1-122-1-1-1-12-211-1-100002200001111-1-1-1-1-2-211-1-11111-1-1-1-1-2-2000000-20000001111000000
χ362222-1222222222-1-1-12-1-1-1-1-1-12-1-1-1-1222-1-12222-1-1-1-1-1-1-1-10000-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-122-1-1-1-1-2-211110000-2-2000011111111-2-2111111111111220000002000000-1-1-1-1000000
χ372222-122-2-222222-1-1-121111-1-12-1-1-1-1222-1-1-2-2-2-2111111110000222222222222-1-1-1-1-2-21111-2-2-1-1110000-2-20000-1-1-1-11111-2-211-1-11111-1-1-1-122000000-2000000-1-111000000
χ382222-122-2-222222-1-1-121111-1-12-1-1-1-1222-1-1-2-2-2-211111111000022-2-22222-2-2-2-2-1-1-1-1-2-211112-2-1-1-1-10000220000-1-1-1-1-1-1-1-1-2-2111111111111-2-2000000200000011-1-1000000
χ392222-122-2-222222-1-1-121111-1-12-1-1-1-1222-1-1-2-2-2-2111111110000-2-222-2-2-2-22222-1-1-1-1-2-21111-2211110000-2-200001111111122-1-1-1-1-1-1-1-1-1-1-1-1-2-2000000200000011-1-1000000
χ402222-122-2-222222-1-1-121111-1-12-1-1-1-1222-1-1-2-2-2-2111111110000-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-2-211112211-1-100002200001111-1-1-1-122-1-111-1-1-1-1111122000000-2000000-1-111000000
χ4122-2-2222002-22-2-2-22-2-200002222-22-22-2-2-2-200000000000000002-22i−2i22-2-22i2i−2i−2i22-2-2000000002-200000000000022-2-2000000002i−2i00002i2i−2i−2i2i−2i00000000000002i−2i00000000
χ4222-2-2222002-22-2-2-22-2-200002222-22-22-2-2-2-200000000000000002-2−2i2i22-2-2−2i−2i2i2i22-2-2000000002-200000000000022-2-200000000−2i2i0000−2i−2i2i2i−2i2i0000000000000−2i2i00000000
χ4322-2-2222002-22-2-2-22-2-200002222-22-22-2-2-2-20000000000000000-222i−2i-2-2222i2i−2i−2i22-2-200000000-22000000000000-2-222000000002i−2i00002i2i−2i−2i−2i2i0000000000000−2i2i00000000
χ4422-2-2222002-22-2-2-22-2-200002222-22-22-2-2-2-20000000000000000-22−2i2i-2-222−2i−2i2i2i22-2-200000000-22000000000000-2-22200000000−2i2i0000−2i−2i2i2i2i−2i00000000000002i−2i00000000
χ4522-2-2-122002-22-2-21-11-233−3−3-1-12-11-112-2-211000033−3−333−3−300002-22i−2i22-2-22i2i−2i−2i-1-1110033−3−300-11−i3i30000000000-1-111−i3−i3i3i3003−3−ii33−3−3−i−iii2i−2i0000000000000−ii−i3i3000000
χ4622-2-2-122002-22-2-21-11-233−3−3-1-12-11-112-2-211000033−3−333−3−300002-2−2i2i22-2-2−2i−2i2i2i-1-1110033−3−300-11i3−i30000000000-1-111i3i3−i3−i3003−3i−i33−3−3ii−i−i−2i2i0000000000000i−ii3−i3000000
χ4722-2-2-122002-22-2-21-11-233−3−3-1-12-11-112-2-211000033−3−333−3−30000-222i−2i-2-2222i2i−2i−2i-1-1110033−3−3001-1−i3i3000000000011-1-1−i3−i3i3i300−33−ii−3−333−i−iii−2i2i0000000000000i−ii3−i3000000
χ4822-2-2-122002-22-2-21-11-233−3−3-1-12-11-112-2-211000033−3−333−3−30000-22−2i2i-2-222−2i−2i2i2i-1-1110033−3−3001-1i3−i3000000000011-1-1i3i3−i3−i300−33i−i−3−333ii−i−i2i−2i0000000000000−ii−i3i3000000
χ4922-2-2-122002-22-2-21-11-2−3−333-1-12-11-112-2-2110000−3−333−3−33300002-22i−2i22-2-22i2i−2i−2i-1-11100−3−33300-11i3−i30000000000-1-111i3i3−i3−i300−33−ii−3−333−i−iii2i−2i0000000000000−iii3−i3000000
χ5022-2-2-122002-22-2-21-11-2−3−333-1-12-11-112-2-2110000−3−333−3−33300002-2−2i2i22-2-2−2i−2i2i2i-1-11100−3−33300-11−i3i30000000000-1-111−i3−i3i3i300−33i−i−3−333ii−i−i−2i2i0000000000000i−i−i3i3000000
χ5122-2-2-122002-22-2-21-11-2−3−333-1-12-11-112-2-2110000−3−333−3−3330000-222i−2i-2-2222i2i−2i−2i-1-11100−3−333001-1i3−i3000000000011-1-1i3i3−i3−i3003−3−ii33−3−3−i−iii−2i2i0000000000000i−i−i3i3000000
χ5222-2-2-122002-22-2-21-11-2−3−333-1-12-11-112-2-2110000−3−333−3−3330000-22−2i2i-2-222−2i−2i2i2i-1-11100−3−333001-1−i3i3000000000011-1-1−i3−i3i3i3003−3i−i33−3−3ii−i−i2i−2i0000000000000−iii3−i3000000
χ532-22-22222-2-2-2-2-222-2-222-22-2222-2-2-2-2-2-22222-22-22-22-22-22-22-22-20000000000002-2-222-22-22-20000002-22-2002-22-20000000000000000000000002-22-20000000000000000000
χ542-22-22222-2-2-2-2-222-2-222-22-2222-2-2-2-2-2-22222-22-22-22-22-22-2-22-220000000000002-2-222-22-22-2000000-22-2200-22-22000000000000000000000000-22-220000000000000000000
χ552-22-2222-22-2-2-2-222-2-22-22-22222-2-2-2-2-2-2222-22-22-22-22-22-222-2-220000000000002-2-22-22-22-220000002-2-22002-2-220000000000000000000000002-2-220000000000000000000
χ562-22-2222-22-2-2-2-222-2-22-22-22222-2-2-2-2-2-2222-22-22-22-22-22-22-222-20000000000002-2-22-22-22-22000000-222-200-222-2000000000000000000000000-222-20000000000000000000
χ572-22-222-12-2-2-211-12-2-222-22-22-1-1-2-21111-12-1-112-22-22-2-11-112-22-20000−i3i3−i3i30000-111-1-11-11-110000002-22-200-11-11−i3i3−i3i30000−i3i30000−i3i3−i3i3000000-11-1100000−i3i3−i3i30000000000
χ582-22-222-12-2-2-211-12-2-222-22-22-1-1-2-21111-12-1-112-22-22-2-11-112-22-20000i3−i3i3−i30000-111-1-11-11-110000002-22-200-11-11i3−i3i3−i30000i3−i30000i3−i3i3−i3000000-11-1100000i3−i3i3−i30000000000
χ592-22-222-12-2-2-211-12-2-222-22-22-1-1-2-21111-12-1-112-22-22-2-11-11-22-220000−i3i3−i3i30000-111-1-11-11-11000000-22-22001-11-1−i3i3−i3i30000−i3i30000−i3i3−i3i30000001-11-100000i3−i3i3−i30000000000
χ602-22-222-12-2-2-211-12-2-222-22-22-1-1-2-21111-12-1-112-22-22-2-11-11-22-220000i3−i3i3−i30000-111-1-11-11-11000000-22-22001-11-1i3−i3i3−i30000i3−i30000i3−i3i3−i30000001-11-100000−i3i3−i3i30000000000
χ612-22-222-1-22-2-211-12-2-22-22-222-1-1-2-21111-12-11-1-22-22-221-11-12-2-220000−i3i3−i3i30000-111-11-11-11-10000002-2-2200-111-1−i3i3−i3i30000i3−i30000i3−i3i3−i3000000-111-100000−i3i3i3−i30000000000
χ622-22-222-1-22-2-211-12-2-22-22-222-1-1-2-21111-12-11-1-22-22-221-11-12-2-220000i3−i3i3−i30000-111-11-11-11-10000002-2-2200-111-1i3−i3i3−i30000−i3i30000−i3i3−i3i3000000-111-100000i3−i3−i3i30000000000
χ632-22-222-1-22-2-211-12-2-22-22-222-1-1-2-21111-12-11-1-22-22-221-11-1-222-20000−i3i3−i3i30000-111-11-11-11-1000000-222-2001-1-11−i3i3−i3i30000i3−i30000i3−i3i3−i30000001-1-1100000i3−i3−i3i30000000000
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χ1014-44-4-2444-4-4-4-4-44-2224-22-22-2-242222-4-44-2-24-44-4-22-22-22-220000000000000000-222-24-4-22-22000000000000000000000000000000000000000000000000000000000000000
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χ1224-4-44-2-24002-2-44-422-2223−23−23231-2-2-112-22-22-120000−333−323−23−232300000000000023−23−23231-11-100−333−300000000000000000000-333-30000000000−333−30000000000000000000000000
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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
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χ1318-88-8-4-4-48-84444-4-444-4-44-44222-2-2-2-2-2-2222-44-442-22-22-22-20000000000000000-111-12-2-11-11000000000000000000000000000000000000000000000000000000000000000
χ1328-88-8-4-4-4-884444-4-444-44-44-4222-2-2-2-2-2-22224-44-4-22-22-22-220000000000000000-111-1-221-11-1000000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).