Finite Group Databasebeta

← Group #11795082

Character table — Group #11795082

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
χ51111111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1
χ61111111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111
χ71111111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-111
χ81111111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-111-1-1
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
χ13222222222-122222222-1-1-1222-1-1-1-122222222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-21111-1-1-1-1-1-1-1-1111111111111111100000000000000000000000022-2-21111-1-1-1-10000
χ14222222222-122222222-1-1-1222-1-1-1-122222222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-21111-1-1-1-1-1-1-1-11111111111111111000000000000000000000000-2-222-1-1-1-111110000
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
χ27222-22-2-2-222000022-2-222-22-2-22-2-2-20000000022-20022-2-22-2-2000022-2-222-2-200000000000000002222-2-2-2-20000000022−2−222−2−222−2−222−2−222−2−222−2−20000000000000000
χ28222-22-2-2-222000022-2-222-22-2-22-2-2-20000000022-20022-2-22-2-2000022-2-222-2-200000000000000002222-2-2-2-200000000−2−222−2−222−2−222−2−222−2−222−2−2220000000000000000
χ29222-22-2-2-222000022-2-222-22-2-22-2-2-2000000002-220022-2-22-2-20000-2-222-2-2220000000000000000-2-2-2-222220000000022−2−2−2−22222−2−222−2−2−2−222−2−2220000000000000000
χ30222-22-2-2-222000022-2-222-22-2-22-2-2-2000000002-220022-2-22-2-20000-2-222-2-2220000000000000000-2-2-2-2222200000000−2−22222−2−2−2−222−2−22222−2−222−2−20000000000000000
χ31222-22-2-2-2-120000-1-11122-2-1112-2-2-233−3−333−3−3-12-200-1-111-1110000-1-11122-2-233−3−300003333−3−3−3−3-1-1-1-111113333−3−3−3−322−2−222−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ230000000000000000
χ32222-22-2-2-2-120000-1-11122-2-1112-2-2-233−3−333−3−3-12-200-1-111-1110000-1-11122-2-233−3−300003333−3−3−3−3-1-1-1-111113333−3−3−3−3−2−222−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ230000000000000000
χ33222-22-2-2-2-120000-1-11122-2-1112-2-2-233−3−333−3−3-1-2200-1-111-111000011-1-1-2-222−3−33300003333−3−3−3−31111-1-1-1-1−3−3−3−3333322−2−2−2−222ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ230000000000000000
χ34222-22-2-2-2-120000-1-11122-2-1112-2-2-233−3−333−3−3-1-2200-1-111-111000011-1-1-2-222−3−33300003333−3−3−3−31111-1-1-1-1−3−3−3−33333−2−22222−2−2−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ230000000000000000
χ35222-22-2-2-2-120000-1-11122-2-1112-2-2-2−3−333−3−333-12-200-1-111-1110000-1-11122-2-2−3−3330000−3−3−3−33333-1-1-1-11111−3−3−3−3333322−2−222−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ70000000000000000
χ36222-22-2-2-2-120000-1-11122-2-1112-2-2-2−3−333−3−333-12-200-1-111-1110000-1-11122-2-2−3−3330000−3−3−3−33333-1-1-1-11111−3−3−3−33333−2−222−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ70000000000000000
χ37222-22-2-2-2-120000-1-11122-2-1112-2-2-2−3−333−3−333-1-2200-1-111-111000011-1-1-2-22233−3−30000−3−3−3−333331111-1-1-1-13333−3−3−3−322−2−2−2−222ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ70000000000000000
χ38222-22-2-2-2-120000-1-11122-2-1112-2-2-2−3−333−3−333-1-2200-1-111-111000011-1-1-2-22233−3−30000−3−3−3−333331111-1-1-1-13333−3−3−3−3−2−22222−2−2−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ70000000000000000
χ3922-22-22-2-2222-22-22-22-22-22-22-2-22-2-22-22-22-22-2200002-22-2-22-222-2-2000000000000000022-2-222-2-2000000000000000000002-22-2000000002-22-22-22-20000000000000000
χ4022-22-22-2-2222-22-22-22-22-22-22-2-22-2-22-22-22-22-2200002-22-2-22-222-2-2000000000000000022-2-222-2-200000000000000000000-22-2200000000-22-22-22-220000000000000000
χ4122-22-22-2-222-22-222-22-22-22-22-2-22-2-2-22-22-22-22200002-22-2-22-2-2-2220000000000000000-2-222-2-22200000000000000002-22-200002-22-22-22-2000000000000000000000000
χ4222-22-22-2-222-22-222-22-22-22-22-2-22-2-2-22-22-22-22200002-22-2-22-2-2-2220000000000000000-2-222-2-2220000000000000000-22-220000-22-22-22-22000000000000000000000000
χ4322-22-22-2-2-122-22-2-11-112-221-11-22-2-2-11-11-11-11-10000-11-111-1122-2-23−33−300003−33−30000-1-111-1-11133−3−333−3−333−3−333−3−300002-22-23−33−3−33−33-11-11-11-110000000000000000
χ4422-22-22-2-2-122-22-2-11-112-221-11-22-2-2-11-11-11-11-10000-11-111-1122-2-23−33−300003−33−30000-1-111-1-11133−3−333−3−333−3−333−3−30000-22-22−33−333−33−31-11-11-11-10000000000000000
χ4522-22-22-2-2-122-22-2-11-112-221-11-22-2-2-11-11-11-11-10000-11-111-1122-2-2−33−330000−33−330000-1-111-1-111−3−333−3−333−3−333−3−33300002-22-2−33−333−33−3-11-11-11-110000000000000000
χ4622-22-22-2-2-122-22-2-11-112-221-11-22-2-2-11-11-11-11-10000-11-111-1122-2-2−33−330000−33−330000-1-111-1-111−3−333−3−333−3−333−3−3330000-22-223−33−3−33−331-11-11-11-10000000000000000
χ4722-22-22-2-2-12-22-22-11-112-221-11-22-2-21-11-11-11-1-10000-11-111-11-2-2223−33−30000−33−33000011-1-111-1-133−3−333−3−3−3−333−3−3332-22-20000-11-11-11-11−33−333−33−30000000000000000
χ4822-22-22-2-2-12-22-22-11-112-221-11-22-2-21-11-11-11-1-10000-11-111-11-2-2223−33−30000−33−33000011-1-111-1-133−3−333−3−3−3−333−3−333-22-2200001-11-11-11-13−33−3−33−330000000000000000
χ4922-22-22-2-2-12-22-22-11-112-221-11-22-2-21-11-11-11-1-10000-11-111-11-2-222−33−3300003−33−3000011-1-111-1-1−3−333−3−33333−3−333−3−32-22-20000-11-11-11-113−33−3−33−330000000000000000
χ5022-22-22-2-2-12-22-22-11-112-221-11-22-2-21-11-11-11-1-10000-11-111-11-2-222−33−3300003−33−3000011-1-111-1-1−3−333−3−33333−3−333−3−3-22-2200001-11-11-11-1−33−333−33−30000000000000000
χ5122-2-2-2-2222200002-2-222-2-2-2-22-2-222000000002002-22-2-22-2-220000000000002-2-2222-2-2000000000000000022-2-2-2-2222−2−222−2−222−2−222−2−222−2−222−2−220000000000000000
χ5222-2-2-2-2222200002-2-222-2-2-2-22-2-222000000002002-22-2-22-2-220000000000002-2-2222-2-2000000000000000022-2-2-2-222−222−2−222−2−222−2−222−2−222−2−222−20000000000000000
χ5322-2-2-2-2222200002-2-222-2-2-2-22-2-22200000000200-222-2-22-2-22000000000000-222-2-2-2220000000000000000-2-22222-2-22−2−22−222−22−2−222−2−22−222−2−222−20000000000000000
χ5422-2-2-2-2222200002-2-222-2-2-2-22-2-22200000000200-222-2-22-2-22000000000000-222-2-2-2220000000000000000-2-22222-2-2−222−22−2−22−222−2−222−22−2−222−2−220000000000000000
χ5522-2-2-2-222-120000-111-12-2-211-1-2-2223−3−333−3−33-1002-2-111-111-10000−333−30000-111-122-2-233−3−3−3−333−3−33333−3−3-1-11111-1-12−2−222−2−22ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ230000000000000000
χ5622-2-2-2-222-120000-111-12-2-211-1-2-2223−3−333−3−33-1002-2-111-111-10000−333−30000-111-122-2-233−3−3−3−333−3−33333−3−3-1-11111-1-1−222−2−222−2−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ230000000000000000
χ5722-2-2-2-222-120000-111-12-2-211-1-2-2223−3−333−3−33-100-22-111-111-100003−3−3300001-1-11-2-22233−3−3−3−33333−3−3−3−33311-1-1-1-1112−2−22−222−2ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ230000000000000000
χ5822-2-2-2-222-120000-111-12-2-211-1-2-2223−3−333−3−33-100-22-111-111-100003−3−3300001-1-11-2-22233−3−3−3−33333−3−3−3−33311-1-1-1-111−222−22−2−22−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ230000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.