Finite Group Databasebeta

← Group #11793168

Character table — Group #11793168

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444444444444412121212121212121212121212121212121212121212121224242424242424242424242472727272
order122222223344446666666666666612121212121212122234466666666666666666666666121212121212121212121212121212121212121212121212121212128888888824242424242424242424242424242424444412121212121212122244
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
χ5111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ6111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ7111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ8111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ92222222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2222-2-222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ102222222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-22-2-2-2-222222222-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000
χ11222222222-12222222222-1-1-1-12-1-1-12222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-10000
χ12222222222-12222222222-1-1-1-12-1-1-12222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-2111111110000
χ13222222222-12222222222-1-1-1-12-1-1-122222222-2-2-1-2-2-2-2-2-21111-1-1-1-1-1-111111111-1-1-1-1-1-2-2-2-21111-1-1-1-1-1-1-1-11111111100000000000000000000000022-2-2-1-1-1-111110000
χ14222222222-12222222222-1-1-1-12-1-1-122222222-2-2-1-2-2-2-2-2-21111-1-1-1-1-1-111111111-1-1-1-1-1-2-2-2-21111-1-1-1-1-1-1-1-111111111000000000000000000000000-2-2221111-1-1-1-10000
χ15222222222-1-2-2-2-2222222-1-1-1-12-1-1-1-2-2-2-2-2-2-2-222-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2111111111111111111110000000000000000000000000000−i3−i3i3i3−i3−i3i3i30000
χ16222222222-1-2-2-2-2222222-1-1-1-12-1-1-1-2-2-2-2-2-2-2-222-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2111111111111111111110000000000000000000000000000i3i3−i3−i3i3i3−i3−i30000
χ17222222222-1-2-2-2-2222222-1-1-1-12-1-1-1-2-2-2-2-2-2-2-2-2-2-122-2-2-2-21111-1-1-1-1-1-111111111-111112222-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000000000000000−i3−i3i3i3i3i3−i3−i30000
χ18222222222-1-2-2-2-2222222-1-1-1-12-1-1-1-2-2-2-2-2-2-2-2-2-2-122-2-2-2-21111-1-1-1-1-1-111111111-111112222-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000000000000000i3i3−i3−i3−i3−i3i3i30000
χ1922222222-122222-1-1-1-1-1-12222-1222-1-1-1-1-1-1-1-122-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2022222222-122222-1-1-1-1-1-12222-1222-1-1-1-1-1-1-1-122-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ2122222222-122222-1-1-1-1-1-12222-1222-1-1-1-1-1-1-1-1-2-2-1-2-21111-2-2-2-2-1-1-1-1-1-111111111-122221111-2-2-2-2-1-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ2222222222-122222-1-1-1-1-1-12222-1222-1-1-1-1-1-1-1-1-2-2-1-2-21111-2-2-2-2-1-1-1-1-1-111111111-122221111-2-2-2-2-1-1-1-1-1-1-1-111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ2322222222-12-2-2-2-2-1-1-1-1-1-12222-12221111111122-1-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-21111111111111111000000003333−3−3−3−33333−3−3−3−30000000000000000
χ2422222222-12-2-2-2-2-1-1-1-1-1-12222-12221111111122-1-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2111111111111111100000000−3−3−3−33333−3−3−3−333330000000000000000
χ2522222222-12-2-2-2-2-1-1-1-1-1-12222-122211111111-2-2-1221111-2-2-2-2-1-1-1-1-1-111111111-1-2-2-2-2-1-1-1-1222211111111-1-1-1-1-1-1-1-1000000003333−3−3−3−3−3−3−3−333330000000000000000
χ2622222222-12-2-2-2-2-1-1-1-1-1-12222-122211111111-2-2-1221111-2-2-2-2-1-1-1-1-1-111111111-1-2-2-2-2-1-1-1-1222211111111-1-1-1-1-1-1-1-100000000−3−3−3−333333333−3−3−3−30000000000000000
χ27222-2-22-2-2222-22-222-2-2-2-222-2-222-2-222-2-222-2-2002000000000022-2-2-2-200000000222-2-2000000002222-2-2-2-200000000000000000000000000000000002i−2i00002i−2i2i−2i0000
χ28222-2-22-2-2222-22-222-2-2-2-222-2-222-2-222-2-222-2-2002000000000022-2-2-2-200000000222-2-2000000002222-2-2-2-20000000000000000000000000000000000−2i2i0000−2i2i−2i2i0000
χ29222-2-22-2-222-22-2222-2-2-2-222-2-222-2-2-2-222-2-222002000000000022-2-2-2-2000000002-2-22200000000-2-2-2-22222000000000000000000000000000000002i−2i002i−2i2i−2i00000000
χ30222-2-22-2-222-22-2222-2-2-2-222-2-222-2-2-2-222-2-222002000000000022-2-2-2-2000000002-2-22200000000-2-2-2-2222200000000000000000000000000000000−2i2i00−2i2i−2i2i00000000
χ31222-2-22-2-22-12-22-222-2-2-2-2-1-1112-11122-2-222-2-200-1000000−i3−i3i3i3-1-11111−i3−i3−i3−i3i3i3i3i3-1-1-1110000−i3−i3i3i3-1-1-1-11111−i3−i3−i3−i3i3i3i3i3000000000000000000000000002i−2i3−3−33−ii−ii0000
χ32222-2-22-2-22-12-22-222-2-2-2-2-1-1112-11122-2-222-2-200-1000000−i3−i3i3i3-1-11111−i3−i3−i3−i3i3i3i3i3-1-1-1110000−i3−i3i3i3-1-1-1-11111−i3−i3−i3−i3i3i3i3i300000000000000000000000000−2i2i−333−3i−ii−i0000
χ33222-2-22-2-22-12-22-222-2-2-2-2-1-1112-11122-2-222-2-200-1000000i3i3−i3−i3-1-11111i3i3i3i3−i3−i3−i3−i3-1-1-1110000i3i3−i3−i3-1-1-1-11111i3i3i3i3−i3−i3−i3−i3000000000000000000000000002i−2i−333−3−ii−ii0000
χ34222-2-22-2-22-12-22-222-2-2-2-2-1-1112-11122-2-222-2-200-1000000i3i3−i3−i3-1-11111i3i3i3i3−i3−i3−i3−i3-1-1-1110000i3i3−i3−i3-1-1-1-11111i3i3i3i3−i3−i3−i3−i300000000000000000000000000−2i2i3−3−33i−ii−i0000
χ35222-2-22-2-22-1-22-2222-2-2-2-2-1-1112-111-2-222-2-22200-1000000−i3−i3i3i3-1-11111−i3−i3−i3−i3i3i3i3i3-111-1-10000i3i3−i3−i31111-1-1-1-1i3i3i3i3−i3−i3−i3−i30000000000000000000000002i−2i00−ii−ii3−3−330000
χ36222-2-22-2-22-1-22-2222-2-2-2-2-1-1112-111-2-222-2-22200-1000000−i3−i3i3i3-1-11111−i3−i3−i3−i3i3i3i3i3-111-1-10000i3i3−i3−i31111-1-1-1-1i3i3i3i3−i3−i3−i3−i3000000000000000000000000−2i2i00i−ii−i−333−30000
χ37222-2-22-2-22-1-22-2222-2-2-2-2-1-1112-111-2-222-2-22200-1000000i3i3−i3−i3-1-11111i3i3i3i3−i3−i3−i3−i3-111-1-10000−i3−i3i3i31111-1-1-1-1−i3−i3−i3−i3i3i3i3i30000000000000000000000002i−2i00−ii−ii−333−30000
χ38222-2-22-2-22-1-22-2222-2-2-2-2-1-1112-111-2-222-2-22200-1000000i3i3−i3−i3-1-11111i3i3i3i3−i3−i3−i3−i3-111-1-10000−i3−i3i3i31111-1-1-1-1−i3−i3−i3−i3i3i3i3i3000000000000000000000000−2i2i00i−ii−i3−3−330000
χ3922-22-2-22-22200002-222-2-22-22-2-2-22-2000000000022i−2i000000002-222-2-200000000-200002i2i−2i−2i2i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i22−2−2−i2−i2i2i222−2−222−2−2−i2−i2i2i2−i2−i2i2i20000000000000000
χ4022-22-2-22-22200002-222-2-22-22-2-2-22-2000000000022i−2i000000002-222-2-200000000-200002i2i−2i−2i2i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i−2−222i2i2−i2−i2−2−222−2−222i2i2−i2−i2i2i2−i2−i20000000000000000
χ4122-22-2-22-22200002-222-2-22-22-2-2-22-200000000002−2i2i000000002-222-2-200000000-20000−2i−2i2i2i−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i22−2−2i2i2−i2−i222−2−222−2−2i2i2−i2−i2i2i2−i2−i20000000000000000
χ4222-22-2-22-22200002-222-2-22-22-2-2-22-200000000002−2i2i000000002-222-2-200000000-20000−2i−2i2i2i−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i−2−222−i2−i2i2i2−2−222−2−222−i2−i2i2i2−i2−i2i2i20000000000000000
χ4322-22-2-22-2-120000-11-1-1112-22-21-22-23−33−33−33−300-12i−2i−i3−i3i3i30000-11-1-111−i3−i3i3i3−i3−i3i3i310000−i−iii2i−2i2i−2i33−3−333−3−3−i−iii−i−iii22−2−2−i2−i2i2i2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ230000000000000000
χ4422-22-2-22-2-120000-11-1-1112-22-21-22-23−33−33−33−300-12i−2i−i3−i3i3i30000-11-1-111−i3−i3i3i3−i3−i3i3i310000−i−iii2i−2i2i−2i33−3−333−3−3−i−iii−i−iii−2−222i2i2−i2−i2−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ230000000000000000
χ4522-22-2-22-2-120000-11-1-1112-22-21-22-23−33−33−33−300-1−2i2ii3i3−i3−i30000-11-1-111i3i3−i3−i3i3i3−i3−i310000ii−i−i−2i2i−2i2i33−3−333−3−3ii−i−iii−i−i22−2−2i2i2−i2−i2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ230000000000000000
χ4622-22-2-22-2-120000-11-1-1112-22-21-22-23−33−33−33−300-1−2i2ii3i3−i3−i30000-11-1-111i3i3−i3−i3i3i3−i3−i310000ii−i−i−2i2i−2i2i33−3−333−3−3ii−i−iii−i−i−2−222−i2−i2i2i2−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ230000000000000000
χ4722-22-2-22-2-120000-11-1-1112-22-21-22-2−33−33−33−3300-12i−2ii3i3−i3−i30000-11-1-111i3i3−i3−i3i3i3−i3−i310000−i−iii2i−2i2i−2i−3−333−3−333−i−iii−i−iii22−2−2−i2−i2i2i2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ70000000000000000
χ4822-22-2-22-2-120000-11-1-1112-22-21-22-2−33−33−33−3300-12i−2ii3i3−i3−i30000-11-1-111i3i3−i3−i3i3i3−i3−i310000−i−iii2i−2i2i−2i−3−333−3−333−i−iii−i−iii−2−222i2i2−i2−i2−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ70000000000000000
χ4922-22-2-22-2-120000-11-1-1112-22-21-22-2−33−33−33−3300-1−2i2i−i3−i3i3i30000-11-1-111−i3−i3i3i3−i3−i3i3i310000ii−i−i−2i2i−2i2i−3−333−3−333ii−i−iii−i−i22−2−2i2i2−i2−i2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ70000000000000000
χ5022-22-2-22-2-120000-11-1-1112-22-21-22-2−33−33−33−3300-1−2i2i−i3−i3i3i30000-11-1-111−i3−i3i3i3−i3−i3i3i310000ii−i−i−2i2i−2i2i−3−333−3−333ii−i−iii−i−i−2−222−i2−i2i2i2−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ70000000000000000
χ512-22-2-2-222220000-222-22-2-22-2-2-2-222000000002-22002-22-22-22-2-222-22-22-22-22-22-2-200000000000000000000000000002−22−22−22−22−22−22−22−22−22−22−22−20000000000000000
χ522-22-2-2-222220000-222-22-2-22-2-2-2-222000000002-22002-22-22-22-2-222-22-22-22-22-22-2-20000000000000000000000000000−22−22−22−22−22−22−22−22−22−22−22−220000000000000000
χ532-22-2-2-222220000-222-22-2-22-2-2-2-22200000000-22200-22-22-22-22-222-22-2-22-22-22-22-200000000000000000000000000002−22−2−22−222−22−22−22−2−22−22−22−220000000000000000
χ542-22-2-2-222220000-222-22-2-22-2-2-2-22200000000-22200-22-22-22-22-222-22-2-22-22-22-22-20000000000000000000000000000−22−222−22−2−22−22−22−222−22−22−22−20000000000000000
χ552-22-2-2-222-1200001-1-11-11-22-2-21-2223−33−3−33−332-2-100-11-112-22-21-1-11-11-11-11-11-11100003−33−300003−33−33−33−33−33−33−33−32−22−22−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ70000000000000000
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χ1324-4-4-4444-4-2-2-4-44422-222-2222-2-2-2-222222-2-2-2-2001002i3−2i3−2i32i30000-1-11-1-11−i3i3i3−i3−i3i3i3−i312-2-22−2i32i32i3−2i30000-111-1-111-1i3−i3−i3i3i3−i3−i3i30000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.