Finite Group Databasebeta

← Group #11819070

Character table — Group #11819070

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size11111111222222222222222222222222222222224444444444444444444444444444444444444444444444444444441212121212121212121212121212121212121212121212122424242424242424242424243636363636363636
order1222222233444444446666666666666612121212121212123446666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121244444444121212121212121212121212121212124444121212121212121222444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111-1-1-1-111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-11111-1-1-1-1
χ611111111111111-1-1-1-111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-1-1-11111
χ711111111111111-1-1-1-111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111111-11-111-1-111-1-1-1-1-1-11111
χ811111111111111-1-1-1-111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-11-11-1-111-1-1111111-1-1-1-1
χ91111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-111-1-111
χ101111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1
χ111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1-1
χ121111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-111
χ131111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-11-1-11111-1-1-1-11111-1-1
χ141111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-111-111-1-1-1-11111-1-1-1-111
χ151111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-11-1-11-1-11111-1-111-1-1-1-111
χ161111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-111-111-1-1-1-111-1-11111-1-1
χ17222222222-122222222222-1-122-1-1-12-1-12-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ18222222222-122222222222-1-122-1-1-12-1-12-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111100000000000000000000
χ19222222222-12222-2-2-2-2222-1-122-1-1-12-1-12-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-1-1-122221111-2-2-2-21111-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-2-222-2-2-1-1-1-1-1-1-1-11111111100000000000000000000
χ20222222222-12222-2-2-2-2222-1-122-1-1-12-1-12-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-1-1-122221111-2-2-2-21111-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-222-2-22211111111-1-1-1-1-1-1-1-100000000000000000000
χ21222222222-1-2-2-2-22222222-1-122-1-1-12-1-1211111111-1-2-2-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-2-2-2-21111222211111111-1-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-11111-1-1-1-1111100000000000000000000
χ22222222222-1-2-2-2-22222222-1-122-1-1-12-1-1211111111-1-2-2-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-2-2-2-21111222211111111-1-1-1-1-1-1-1-111111111-2-2-2-222221111-1-1-1-11111-1-1-1-100000000000000000000
χ23222222222-1-2-2-2-2-2-2-2-2222-1-122-1-1-12-1-1211111111-122-1-1-1-1-1-1-1-2-2-2-211112222-1-1-1-1-2-2-2-21111111111111111-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-100000000000000000000
χ24222222222-1-2-2-2-2-2-2-2-2222-1-122-1-1-12-1-1211111111-122-1-1-1-1-1-1-1-2-2-2-211112222-1-1-1-1-2-2-2-21111111111111111-1-1-1-1-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-1111100000000000000000000
χ2522222222-1222222222-1-1-122-1-1222-122-122222222-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-100000000
χ2622222222-1222222222-1-1-122-1-1222-122-122222222-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-21111111100000000
χ2722222222-122222-2-2-2-2-1-1-122-1-1222-122-122222222-1-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-21111-1-1-1-1-1-1-1-111111111111111110000000000000000000000002-22-2-1-111-1-11100000000
χ2822222222-122222-2-2-2-2-1-1-122-1-1222-122-122222222-1-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-21111-1-1-1-1-1-1-1-11111111111111111000000000000000000000000-22-2211-1-111-1-100000000
χ2922222222-12-2-2-2-22222-1-1-122-1-1222-122-1-2-2-2-2-2-2-2-2-1-2-2-1-1-1-1-1-1-1111122221111-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-11111111100000000000000000000000022-2-21111-1-1-1-100000000
χ3022222222-12-2-2-2-22222-1-1-122-1-1222-122-1-2-2-2-2-2-2-2-2-1-2-2-1-1-1-1-1-1-1111122221111-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-111111111000000000000000000000000-2-222-1-1-1-1111100000000
χ3122222222-12-2-2-2-2-2-2-2-2-1-1-122-1-1222-122-1-2-2-2-2-2-2-2-2-122-1-1-1-1-1-1-11111-2-2-2-2-1-1-1-1222211111111111111111111-1-1-1-1-1-1-1-10000000000000000000000002-2-2211-1-1-1-11100000000
χ3222222222-12-2-2-2-2-2-2-2-2-1-1-122-1-1222-122-1-2-2-2-2-2-2-2-2-122-1-1-1-1-1-1-11111-2-2-2-2-1-1-1-1222211111111111111111111-1-1-1-1-1-1-1-1000000000000000000000000-222-2-1-11111-1-100000000
χ33222-2-22-2-22222-2-2000022-2222-22-2-2-2-2-2-22222-2-2-2-220022-2-22-2-222-2-200000000000000002222-2-2-2-200000000000000000000000000000000000000000000000000002-22-20000
χ34222-2-22-2-22222-2-2000022-2222-22-2-2-2-2-2-22222-2-2-2-220022-2-22-2-222-2-200000000000000002222-2-2-2-20000000000000000000000000000000000000000000000000000-22-220000
χ35222-2-22-2-222-2-222000022-2222-22-2-2-2-2-2-2-2-2-2-2222220022-2-22-2-2-2-2220000000000000000-2-2-2-2222200000000000000000000000000000000000000000000000000002-2-220000
χ36222-2-22-2-222-2-222000022-2222-22-2-2-2-2-2-2-2-2-2-2222220022-2-22-2-2-2-2220000000000000000-2-2-2-222220000000000000000000000000000000000000000000000000000-222-20000
χ3722-22-2-2-22222i−2i2i−2i00002-2-22-2-22-22-222-2-22i2i−2i−2i2i2i−2i−2i2002-22-2-22-22i−2i2i−2i00000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000000000002i−2i2-2
χ3822-22-2-2-22222i−2i2i−2i00002-2-22-2-22-22-222-2-22i2i−2i−2i2i2i−2i−2i2002-22-2-22-22i−2i2i−2i00000000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000000000000000−2i2i-22
χ3922-22-2-2-2222−2i2i−2i2i00002-2-22-2-22-22-222-2-2−2i−2i2i2i−2i−2i2i2i2002-22-2-22-2−2i2i−2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000002i−2i-22
χ4022-22-2-2-2222−2i2i−2i2i00002-2-22-2-22-22-222-2-2−2i−2i2i2i−2i−2i2i2i2002-22-2-22-2−2i2i−2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000−2i2i2-2
χ4122-2-22-22-2222i−2i−2i2i22-2-22-222-2-2-2-2-22-2-2222i2i−2i−2i−2i−2i2i2i22i−2i2-2-22-2-222i−2i−2i2i22-2-22i2i−2i−2i2i2i−2i−2i22-2-22i2i−2i−2i−2i−2i2i2i2222-2-2-2-22i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000000000000000
χ4222-2-22-22-2222i−2i−2i2i-2-2222-222-2-2-2-2-22-2-2222i2i−2i−2i−2i−2i2i2i2−2i2i2-2-22-2-222i−2i−2i2i-2-222−2i−2i2i2i−2i−2i2i2i-2-2222i2i−2i−2i−2i−2i2i2i-2-2-2-22222−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000000000000000
χ4322-2-22-22-222−2i2i2i−2i22-2-22-222-2-2-2-2-22-2-222−2i−2i2i2i2i2i−2i−2i2−2i2i2-2-22-2-22−2i2i2i−2i22-2-2−2i−2i2i2i−2i−2i2i2i22-2-2−2i−2i2i2i2i2i−2i−2i2222-2-2-2-2−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000000000000000
χ4422-2-22-22-222−2i2i2i−2i-2-2222-222-2-2-2-2-22-2-222−2i−2i2i2i2i2i−2i−2i22i−2i2-2-22-2-22−2i2i2i−2i-2-2222i2i−2i−2i2i2i−2i−2i-2-222−2i−2i2i2i2i2i−2i−2i-2-2-2-222222i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000000000000000
χ4522-2-22-22-22-12i−2i−2i2i22-2-22-22-11-2-211-1-21-12−i−iiiii−i−i-12i−2i-111-111-12i−2i−2i2i-1-1112i2i−2i−2i−i−iii22-2-2−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiii00000000−i3−i3i3i333−3−3−i3−i3i3i333−3−300000000000000000000
χ4622-2-22-22-22-12i−2i−2i2i22-2-22-22-11-2-211-1-21-12−i−iiiii−i−i-12i−2i-111-111-12i−2i−2i2i-1-1112i2i−2i−2i−i−iii22-2-2−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiii00000000i3i3−i3−i3−3−333i3i3−i3−i3−3−33300000000000000000000
χ4722-2-22-22-22-12i−2i−2i2i-2-2222-22-11-2-211-1-21-12−i−iiiii−i−i-1−2i2i-111-111-12i−2i−2i2i11-1-1−2i−2i2i2iii−i−i-2-222−i−iiiii−i−i1111-1-1-1-1iiii−i−i−i−i00000000−i3−i3i3i333−3−3i3i3−i3−i3−3−33300000000000000000000
χ4822-2-22-22-22-12i−2i−2i2i-2-2222-22-11-2-211-1-21-12−i−iiiii−i−i-1−2i2i-111-111-12i−2i−2i2i11-1-1−2i−2i2i2iii−i−i-2-222−i−iiiii−i−i1111-1-1-1-1iiii−i−i−i−i00000000i3i3−i3−i3−3−333−i3−i3i3i333−3−300000000000000000000
χ4922-2-22-22-22-1−2i2i2i−2i22-2-22-22-11-2-211-1-21-12ii−i−i−i−iii-1−2i2i-111-111-1−2i2i2i−2i-1-111−2i−2i2i2iii−i−i22-2-2ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i00000000−i3−i3i3i3−3−333−i3−i3i3i3−3−33300000000000000000000
χ5022-2-22-22-22-1−2i2i2i−2i22-2-22-22-11-2-211-1-21-12ii−i−i−i−iii-1−2i2i-111-111-1−2i2i2i−2i-1-111−2i−2i2i2iii−i−i22-2-2ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i00000000i3i3−i3−i333−3−3i3i3−i3−i333−3−300000000000000000000
χ5122-2-22-22-22-1−2i2i2i−2i-2-2222-22-11-2-211-1-21-12ii−i−i−i−iii-12i−2i-111-111-1−2i2i2i−2i11-1-12i2i−2i−2i−i−iii-2-222ii−i−i−i−iii1111-1-1-1-1−i−i−i−iiiii00000000−i3−i3i3i3−3−333i3i3−i3−i333−3−300000000000000000000
χ5222-2-22-22-22-1−2i2i2i−2i-2-2222-22-11-2-211-1-21-12ii−i−i−i−iii-12i−2i-111-111-1−2i2i2i−2i11-1-12i2i−2i−2i−i−iii-2-222ii−i−i−i−iii1111-1-1-1-1−i−i−i−iiiii00000000i3i3−i3−i333−3−3−i3−i3i3i3−3−33300000000000000000000
χ5322-2-22-22-2-122i−2i−2i2i22-2-2-11-12-211-2-221-22-12i2i−2i−2i−2i−2i2i2i-12i−2i-111-111-1−iii−i22-2-2−i−iii2i2i−2i−2i-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiii00000000000000000000000000003−33−3−i3i3−i3i300000000
χ5422-2-22-22-2-122i−2i−2i2i22-2-2-11-12-211-2-221-22-12i2i−2i−2i−2i−2i2i2i-12i−2i-111-111-1−iii−i22-2-2−i−iii2i2i−2i−2i-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiii0000000000000000000000000000−33−33i3−i3i3−i300000000
χ5522-2-22-22-2-122i−2i−2i2i-2-222-11-12-211-2-221-22-12i2i−2i−2i−2i−2i2i2i-1−2i2i-111-111-1−iii−i-2-222ii−i−i−2i−2i2i2i11-1-1−i−iiiii−i−i1111-1-1-1-1iiii−i−i−i−i00000000000000000000000000003−3−33−i3i3i3−i300000000
χ5622-2-22-22-2-122i−2i−2i2i-2-222-11-12-211-2-221-22-12i2i−2i−2i−2i−2i2i2i-1−2i2i-111-111-1−iii−i-2-222ii−i−i−2i−2i2i2i11-1-1−i−iiiii−i−i1111-1-1-1-1iiii−i−i−i−i0000000000000000000000000000−333−3i3−i3−i3i300000000
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χ1294-4-4444-4-4-2-2000000002-2-22-22-22-2222-2223−23−232323−23−2323100-11-11-11-100000000−2i32i32i3−2i300000000−333−3−333−33i−3i−3i3i−3i3i3i−3ii3−i3−i3i3−i3i3i3−i300000000000000000000000000000000000000000000
χ1304-4-4444-4-4-2-2000000002-2-22-22-22-2222-2223−23−232323−23−2323100-11-11-11-1000000002i3−2i3−2i32i300000000−333−3−333−3−3i3i3i−3i3i−3i−3i3i−i3i3i3−i3i3−i3−i3i300000000000000000000000000000000000000000000
χ1314-4-4444-4-4-2-2000000002-2-22-22-22-2222-22−232323−23−232323−23100-11-11-11-100000000−2i32i32i3−2i3000000003−3−333−3−33−3i3i3i−3i3i−3i−3i3ii3−i3−i3i3−i3i3i3−i300000000000000000000000000000000000000000000
χ1324-4-4444-4-4-2-2000000002-2-22-22-22-2222-22−232323−23−232323−23100-11-11-11-1000000002i3−2i3−2i32i3000000003−3−333−3−333i−3i−3i3i−3i3i3i−3i−i3i3i3−i3i3−i3−i3i300000000000000000000000000000000000000000000
χ1334-4-4-4-4444-2400004-4-442-22-4422-4-44-24-4-200000000-2002-2-2222-200004-4-4400000000-222-200000000-2-22222-2-20000000000000000000000000000000000000000000000000000
χ1344-4-4-4-4444-240000-444-42-22-4422-4-44-24-4-200000000-2002-2-2222-20000-444-4000000002-2-220000000022-2-2-2-2220000000000000000000000000000000000000000000000000000
χ1354-4-4-4-4444-2-200004-4-442-222-22222-2-2-22-223−23−2323−232323−23100-111-1-1-110000-222-2000023−23−2323-222-2−333−33−3−3311-1-1-1-111−3−33333−3−300000000000000000000000000000000000000000000
χ1364-4-4-4-4444-2-200004-4-442-222-22222-2-2-22-2−232323−2323−23−2323100-111-1-1-110000-222-20000−232323−23-222-23−3−33−333−311-1-1-1-11133−3−3−3−33300000000000000000000000000000000000000000000
χ1374-4-4-4-4444-2-20000-444-42-222-22222-2-2-22-223−23−2323−232323−23100-111-1-1-1100002-2-220000−232323−232-2-22−333−33−3−33-1-11111-1-133−3−3−3−33300000000000000000000000000000000000000000000
χ1384-4-4-4-4444-2-20000-444-42-222-22222-2-2-22-2−232323−2323−23−2323100-111-1-1-1100002-2-22000023−23−23232-2-223−3−33−333−3-1-11111-1-1−3−33333−3−300000000000000000000000000000000000000000000

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