Finite Group Databasebeta

← Group #11795198

Character table — Group #11795198

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444444444444412121212121212121212121212121212121212121212121224242424242424242424242472727272
order1222222233444466666666666666121212121212121234444666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212128888888824242424242424242424242424242424444412121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ71111111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ92222222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2222-2-22222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ102222222222-2-2-2-222222222222222-2-2-2-2-2-2-2-22-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000
χ11222222222-122222222-1-1-1222-1-1-1-122222222-12222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-10000
χ12222222222-122222222-1-1-1222-1-1-1-122222222-12222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-2111111110000
χ13222222222-122222222-1-1-1222-1-1-1-122222222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-21111-1-1-1-1-1-1-1-1111111111111111100000000000000000000000022-2-2-1-1-1-111110000
χ14222222222-122222222-1-1-1222-1-1-1-122222222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-21111-1-1-1-1-1-1-1-11111111111111111000000000000000000000000-2-2221111-1-1-1-10000
χ15222222222-1-2-2-2-22222-1-1-1222-1-1-1-1-2-2-2-2-2-2-2-2-122-2-2-1-1-1-1-1-1-111112222-1-1-1-1-2-2-2-2111111111111-1-1-1-1-1-1-1-1111111110000000000000000000000000000−i3−i3i3i3−i3−i3i3i30000
χ16222222222-1-2-2-2-22222-1-1-1222-1-1-1-1-2-2-2-2-2-2-2-2-122-2-2-1-1-1-1-1-1-111112222-1-1-1-1-2-2-2-2111111111111-1-1-1-1-1-1-1-1111111110000000000000000000000000000i3i3−i3−i3i3i3−i3−i30000
χ17222222222-1-2-2-2-22222-1-1-1222-1-1-1-1-2-2-2-2-2-2-2-2-1-2-222-1-1-1-1-1-1-11111-2-2-2-211112222-1-1-1-11111111111111111-1-1-1-1-1-1-1-10000000000000000000000000000−i3−i3i3i3i3i3−i3−i30000
χ18222222222-1-2-2-2-22222-1-1-1222-1-1-1-1-2-2-2-2-2-2-2-2-1-2-222-1-1-1-1-1-1-11111-2-2-2-211112222-1-1-1-11111111111111111-1-1-1-1-1-1-1-10000000000000000000000000000i3i3−i3−i3−i3−i3i3i30000
χ1922222222-122222-1-1-1-1222-1-1-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2022222222-122222-1-1-1-1222-1-1-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ2122222222-122222-1-1-1-1222-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-122221111-2-2-2-21111-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ2222222222-122222-1-1-1-1222-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-122221111-2-2-2-21111-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ2322222222-12-2-2-2-2-1-1-1-1222-1-1-1222211111111-122-2-2-1-1-1-1-1-1-1-2-2-2-2-1-1-1-122221111-2-2-2-211111111-1-1-1-1-1-1-1-111111111000000003333−3−3−3−33333−3−3−3−30000000000000000
χ2422222222-12-2-2-2-2-1-1-1-1222-1-1-1222211111111-122-2-2-1-1-1-1-1-1-1-2-2-2-2-1-1-1-122221111-2-2-2-211111111-1-1-1-1-1-1-1-11111111100000000−3−3−3−33333−3−3−3−333330000000000000000
χ2522222222-12-2-2-2-2-1-1-1-1222-1-1-1222211111111-1-2-222-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2-1-1-1-122221111111111111111-1-1-1-1-1-1-1-1000000003333−3−3−3−3−3−3−3−333330000000000000000
χ2622222222-12-2-2-2-2-1-1-1-1222-1-1-1222211111111-1-2-222-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2-1-1-1-122221111111111111111-1-1-1-1-1-1-1-100000000−3−3−3−333333333−3−3−3−30000000000000000
χ27222-2-2-2-2222000022-2-222-22-2-2-2-2-220000000022i−2i0022-2-22-2-200002i2i−2i−2i2i2i−2i−2i00000000000000002i2i2i2i−2i−2i−2i−2i0000000022−2−2−i2−i2i2i222−2−222−2−2−i2−i2i2i2−i2−i2i2i20000000000000000
χ28222-2-2-2-2222000022-2-222-22-2-2-2-2-220000000022i−2i0022-2-22-2-200002i2i−2i−2i2i2i−2i−2i00000000000000002i2i2i2i−2i−2i−2i−2i00000000−2−222i2i2−i2−i2−2−222−2−222i2i2−i2−i2i2i2−i2−i20000000000000000
χ29222-2-2-2-2222000022-2-222-22-2-2-2-2-22000000002−2i2i0022-2-22-2-20000−2i−2i2i2i−2i−2i2i2i0000000000000000−2i−2i−2i−2i2i2i2i2i0000000022−2−2i2i2−i2−i222−2−222−2−2i2i2−i2−i2i2i2−i2−i20000000000000000
χ30222-2-2-2-2222000022-2-222-22-2-2-2-2-22000000002−2i2i0022-2-22-2-20000−2i−2i2i2i−2i−2i2i2i0000000000000000−2i−2i−2i−2i2i2i2i2i00000000−2−222−i2−i2i2i2−2−222−2−222−i2−i2i2i2−i2−i2i2i20000000000000000
χ31222-2-2-2-22-120000-1-11122-2-111-2-2-22333−3−3−33−3-12i−2i00-1-111-1110000−i−iii2i2i−2i−2i−i3−i3i3i300003333−3−3−3−3−i−i−i−iiiii−i3−i3−i3−i3i3i3i3i322−2−2−i2−i2i2i2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ70000000000000000
χ32222-2-2-2-22-120000-1-11122-2-111-2-2-22333−3−3−33−3-12i−2i00-1-111-1110000−i−iii2i2i−2i−2i−i3−i3i3i300003333−3−3−3−3−i−i−i−iiiii−i3−i3−i3−i3i3i3i3i3−2−222i2i2−i2−i2−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ70000000000000000
χ33222-2-2-2-22-120000-1-11122-2-111-2-2-22333−3−3−33−3-1−2i2i00-1-111-1110000ii−i−i−2i−2i2i2ii3i3−i3−i300003333−3−3−3−3iiii−i−i−i−ii3i3i3i3−i3−i3−i3−i322−2−2i2i2−i2−i2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ70000000000000000
χ34222-2-2-2-22-120000-1-11122-2-111-2-2-22333−3−3−33−3-1−2i2i00-1-111-1110000ii−i−i−2i−2i2i2ii3i3−i3−i300003333−3−3−3−3iiii−i−i−i−ii3i3i3i3−i3−i3−i3−i3−2−222−i2−i2i2i2−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ70000000000000000
χ35222-2-2-2-22-120000-1-11122-2-111-2-2-22−3−3−3333−33-12i−2i00-1-111-1110000−i−iii2i2i−2i−2ii3i3−i3−i30000−3−3−3−33333−i−i−i−iiiiii3i3i3i3−i3−i3−i3−i322−2−2−i2−i2i2i2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ230000000000000000
χ36222-2-2-2-22-120000-1-11122-2-111-2-2-22−3−3−3333−33-12i−2i00-1-111-1110000−i−iii2i2i−2i−2ii3i3−i3−i30000−3−3−3−33333−i−i−i−iiiiii3i3i3i3−i3−i3−i3−i3−2−222i2i2−i2−i2−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ230000000000000000
χ37222-2-2-2-22-120000-1-11122-2-111-2-2-22−3−3−3333−33-1−2i2i00-1-111-1110000ii−i−i−2i−2i2i2i−i3−i3i3i30000−3−3−3−33333iiii−i−i−i−i−i3−i3−i3−i3i3i3i3i322−2−2i2i2−i2−i2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ230000000000000000
χ38222-2-2-2-22-120000-1-11122-2-111-2-2-22−3−3−3333−33-1−2i2i00-1-111-1110000ii−i−i−2i−2i2i2i−i3−i3i3i30000−3−3−3−33333iiii−i−i−i−i−i3−i3−i3−i3i3i3i3i3−2−222−i2−i2i2i2−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ230000000000000000
χ3922-22-22-2-22222-2-22-22-22-2-2-22-22-22-222-222-2-2-2200002-22-2-22-222-2-2000000000000000022-2-222-2-200000000000000000000000000000000000000002-2002-22-200000000
χ4022-22-22-2-22222-2-22-22-22-2-2-22-22-22-222-222-2-2-2200002-22-2-22-222-2-2000000000000000022-2-222-2-20000000000000000000000000000000000000000-2200-22-2200000000
χ4122-22-22-2-222-2-2222-22-22-2-2-22-22-22-2-2-22-2-2222200002-22-2-22-2-2-2220000000000000000-2-222-2-2220000000000000000000000000000000000000000002i−2i00002i−2i2i−2i0000
χ4222-22-22-2-222-2-2222-22-22-2-2-22-22-22-2-2-22-2-2222200002-22-2-22-2-2-2220000000000000000-2-222-2-222000000000000000000000000000000000000000000−2i2i0000−2i2i−2i2i0000
χ4322-22-22-2-22-122-2-22-22-2-111-22-2-11-1122-222-2-2-2-10000-11-111-11-1-11100003−33−3000033−3−3-1-111-1-11133−3−333−3−333−3−333−3−30000000000000000000000002-200-11-113−3−330000
χ4422-22-22-2-22-122-2-22-22-2-111-22-2-11-1122-222-2-2-2-10000-11-111-11-1-11100003−33−3000033−3−3-1-111-1-11133−3−333−3−333−3−333−3−3000000000000000000000000-22001-11-1−333−30000
χ4522-22-22-2-22-122-2-22-22-2-111-22-2-11-1122-222-2-2-2-10000-11-111-11-1-1110000−33−330000−3−333-1-111-1-111−3−333−3−333−3−333−3−3330000000000000000000000002-200-11-11−333−30000
χ4622-22-22-2-22-122-2-22-22-2-111-22-2-11-1122-222-2-2-2-10000-11-111-11-1-1110000−33−330000−3−333-1-111-1-111−3−333−3−333−3−333−3−333000000000000000000000000-22001-11-13−3−330000
χ4722-22-22-2-22-1-2-2222-22-2-111-22-2-11-11-2-22-2-2222-10000-11-111-1111-1-100003−33−30000−3−33311-1-111-1-133−3−333−3−3−3−333−3−333000000000000000000000000002i−2i−i3i3i3−i3−ii−ii0000
χ4822-22-22-2-22-1-2-2222-22-2-111-22-2-11-11-2-22-2-2222-10000-11-111-1111-1-100003−33−30000−3−33311-1-111-1-133−3−333−3−3−3−333−3−33300000000000000000000000000−2i2ii3−i3−i3i3i−ii−i0000
χ4922-22-22-2-22-1-2-2222-22-2-111-22-2-11-11-2-22-2-2222-10000-11-111-1111-1-10000−33−33000033−3−311-1-111-1-1−3−333−3−33333−3−333−3−3000000000000000000000000002i−2ii3−i3−i3i3−ii−ii0000
χ5022-22-22-2-22-1-2-2222-22-2-111-22-2-11-11-2-22-2-2222-10000-11-111-1111-1-10000−33−33000033−3−311-1-111-1-1−3−333−3−33333−3−333−3−300000000000000000000000000−2i2i−i3i3i3−i3i−ii−i0000
χ512-222-2-22-2222-22-2-22-22-222-22-22-2-2-22-222-22-2-220000-22-22-22-22-22-200000000000000002-22-22-22-200000000000000000000000000000000000000000000000000002-200
χ522-222-2-22-2222-22-2-22-22-222-22-22-2-2-22-222-22-2-220000-22-22-22-22-22-200000000000000002-22-22-22-20000000000000000000000000000000000000000000000000000-2200
χ532-222-2-22-222-22-22-22-22-222-22-22-2-2-2-22-2-22-22220000-22-22-22-2-22-220000000000000000-22-22-22-220000000000000000000000000000000000000000000000000000002i−2i
χ542-222-2-22-222-22-22-22-22-222-22-22-2-2-2-22-2-22-22220000-22-22-22-2-22-220000000000000000-22-22-22-22000000000000000000000000000000000000000000000000000000−2i2i
χ552-2-222-2-22222-2-22-2-2-2-2-2-2-222222-222-2-22-2-22220000-2-2-2-22222-2-2200000000000000002-2-222-2-2200000000000000002-22-200002-22-22-22-2000000000000000000000000
χ562-2-222-2-22222-2-22-2-2-2-2-2-2-222222-222-2-22-2-22220000-2-2-2-22222-2-2200000000000000002-2-222-2-220000000000000000-22-220000-22-22-22-22000000000000000000000000
χ572-2-222-2-2222-222-2-2-2-2-2-2-2-222222-22-222-222-2-220000-2-2-2-2222-222-20000000000000000-222-2-222-2000000000000000000002i−2i2i−2i000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ582-2-222-2-2222-222-2-2-2-2-2-2-2-222222-22-222-222-2-220000-2-2-2-2222-222-20000000000000000-222-2-222-200000000000000000000−2i2i−2i2i00000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ592-2-222-2-22-122-2-221111-2-2-2-1-1-122-22-111-111-1-1-100001111-1-1-12-2-22−i3i3−i3i30000−i3i3−i3i30000-111-1-111-1−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i32-22-20000-11-11-11-11−i3i3−i3i3i3−i3i3−i30000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.