Finite Group Databasebeta

← Group #11788076

Character table — Group #11788076

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size1111111122222222222222222222222222222222222222222222222222224444444444444444444444444444444444444444444466666666666666666666666666666666666666666666666624242424242424242424242472727272
order1222222222223344444444666666666666666666666612121212121212121212121212121212366666666666666666661212121212121212121212121212121212121212121212128888888888888888242424242424242424242424242424242424242424242424242424242424242422446666121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ611111111-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ711111111-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-111
χ811111111-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1111111-1-1
χ911-1-111-1-111-1-11111-111-1-1-111-1-1-1-11111-1-1-1-11-1-1-1-11111111-1-11111-1-1-1-1-1-1111-1-111-1-1-1-11111-1-1-1-1111-1-111-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1-11-111-1-111-1-1i−ii−i
χ1011-1-111-1-111-1-11111-111-1-1-111-1-1-1-11111-1-1-1-11-1-1-1-11111111-1-11111-1-1-1-1-1-1111-1-111-1-1-1-11111-1-1-1-1111-1-111-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-11-11-1-111-1-111−ii−ii
χ1111-1-111-1-111-1-11111-111-1-1-111-1-1-1-11111-1-1-1-11-1-1-1-11111111-1-11111-1-1-1-1-1-1111-1-111-1-1-1-11111-1-1-1-1111-1-111-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1-11-111-1-111-1-1−ii−ii
χ1211-1-111-1-111-1-11111-111-1-1-111-1-1-1-11111-1-1-1-11-1-1-1-11111111-1-11111-1-1-1-1-1-1111-1-111-1-1-1-11111-1-1-1-1111-1-111-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-11-11-1-111-1-111i−ii−i
χ1311-1-111-1-1-1-1111111-1-1-111-111-1-1-1-1-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-11111-1-11-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1-1-1111-1-1-1-111i−i−ii
χ1411-1-111-1-1-1-1111111-1-1-111-111-1-1-1-1-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-11111-1-11-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-111-1-1-11111-1-1−iii−i
χ1511-1-111-1-1-1-1111111-1-1-111-111-1-1-1-1-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-11111-1-11-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i1-1-1111-1-1-1-111−iii−i
χ1611-1-111-1-1-1-1111111-1-1-111-111-1-1-1-1-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-11111-1-11-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-111-1-1-11111-1-1i−i−ii
χ1722222222222222-2-2-2-2-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000
χ182222222222222-12222222222222222222222-1-1-1-1-12-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000002222-1-1-1-1-1-1-1-10000
χ192222222222222-12222222222222222222222-1-1-1-1-12-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000-2-2-2-2111111110000
χ202222222222222-1-2-2-2-2-2-2-2-222222222222222-1-1-1-1-12-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111110000000000000000000000000000000000000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ212222222222222-1-2-2-2-2-2-2-2-222222222222222-1-1-1-1-12-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111110000000000000000000000000000000000000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ22222222222222-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ23222222222222-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111111111111111111111111110000000000000000
χ24222222222222-12-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-1221111111111111111-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111100000000000000003333−3−3−3−33333−3−3−3−33333−3−3−3−33333−3−3−3−30000000000000000
χ25222222222222-12-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-1221111111111111111-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000−3−3−3−33333−3−3−3−33333−3−3−3−33333−3−3−3−333330000000000000000
χ2622222222-2-2-2-222-2-2-22222-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-222222222-2-22-2-2-2-2222222-2-2-2-2-2-2-2-22-2-2-2-22222-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000000000000000000000000000
χ2722222222-2-2-2-22-1222-2-2-2-22222222-2-2-2-2-2-2-2-2-1-1-1-1-12-1-1222222-2-2-2-2-2-2-2-222-11111-1-1-1-1-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11111111100000000000000000000000000000000000000000000000022-2-2-1-1-1-111110000
χ2822222222-2-2-2-22-1222-2-2-2-22222222-2-2-2-2-2-2-2-2-1-1-1-1-12-1-1222222-2-2-2-2-2-2-2-222-11111-1-1-1-1-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-111111111000000000000000000000000000000000000000000000000-2-2221111-1-1-1-10000
χ2922222222-2-2-2-22-1-2-2-22222-2222222-2-2-2-2-2-2-2-2-1-1-1-1-12-1-1-2-2-2-2-2-222222222-2-2-11111-1-1-1-1-1-111111111-11111-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000−i3i3−i3i3i3−i3i3−i30000
χ3022222222-2-2-2-22-1-2-2-22222-2222222-2-2-2-2-2-2-2-2-1-1-1-1-12-1-1-2-2-2-2-2-222222222-2-2-11111-1-1-1-1-1-111111111-11111-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000i3−i3i3−i3−i3i3−i3i30000
χ3122222222-2-2-2-2-12222-2-2-2-22-1-1-1-1-1-11111111122222-122-1-1-1-1-1-111111111-1-1-1-2-2-2-2-1-1-1-1-1-111111111-12222-2-2-2-2-1-1-1-1-1-1-1-11111111122222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000
χ3222222222-2-2-2-2-12222-2-2-2-22-1-1-1-1-1-11111111122222-122-1-1-1-1-1-111111111-1-1-1-2-2-2-2-1-1-1-1-1-111111111-12222-2-2-2-2-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-2222222221111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ3322222222-2-2-2-2-12-2-2-22222-2-1-1-1-1-1-11111111122222-122111111-1-1-1-1-1-1-1-111-1-2-2-2-2-1-1-1-1-1-111111111-1-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000000000003333−3−3−3−33333−3−3−3−3−3−3−3−33333−3−3−3−333330000000000000000
χ3422222222-2-2-2-2-12-2-2-22222-2-1-1-1-1-1-11111111122222-122111111-1-1-1-1-1-1-1-111-1-2-2-2-2-1-1-1-1-1-111111111-1-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000−3−3−3−33333−3−3−3−333333333−3−3−3−33333−3−3−3−30000000000000000
χ35222-2-2-22-20000220002i−2i2i−2i02-222-2-200000000222-2-2-2-2-20000002i2i−2i−2i2i2i−2i−2i00200002-222-2-200000000-200002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i22−2−222−2−2−i2−i2i2i2−i2−i2i2i222−2−222−2−222−2−222−2−2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000000000000000
χ36222-2-2-22-20000220002i−2i2i−2i02-222-2-200000000222-2-2-2-2-20000002i2i−2i−2i2i2i−2i−2i00200002-222-2-200000000-200002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i−2−222−2−222i2i2−i2−i2i2i2−i2−i2−2−222−2−222−2−222−2−222i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000000000000000
χ37222-2-2-22-2000022000−2i2i−2i2i02-222-2-200000000222-2-2-2-2-2000000−2i−2i2i2i−2i−2i2i2i00200002-222-2-200000000-20000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i22−2−222−2−2i2i2−i2−i2i2i2−i2−i222−2−222−2−222−2−222−2−2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000000000000000
χ38222-2-2-22-2000022000−2i2i−2i2i02-222-2-200000000222-2-2-2-2-2000000−2i−2i2i2i−2i−2i2i2i00200002-222-2-200000000-20000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i−2−222−2−222−i2−i2i2i2−i2−i2i2i2−2−222−2−222−2−222−2−222−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000000000000000
χ39222-2-2-22-20000-120002i−2i2i−2i0-11-1-111−i3−i3i3i3−i3−i3i3i3222-2-21-2-233−3−33−3−i−iii−i−iii3−3-10000-11-1-111−i3−i3i3i3−i3−i3i3i3100002i−2i2i−2i33−3−333−3−3−i−iii−i−iii22−2−222−2−2−i2−i2i2i2−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+ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ230000000000000000
χ40222-2-2-22-20000-120002i−2i2i−2i0-11-1-111−i3−i3i3i3−i3−i3i3i3222-2-21-2-233−3−33−3−i−iii−i−iii3−3-10000-11-1-111−i3−i3i3i3−i3−i3i3i3100002i−2i2i−2i33−3−333−3−3−i−iii−i−iii−2−222−2−222i2i2−i2−i2i2i2−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−ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ230000000000000000
χ41222-2-2-22-20000-120002i−2i2i−2i0-11-1-111i3i3−i3−i3i3i3−i3−i3222-2-21-2-2−3−333−33−i−iii−i−iii−33-10000-11-1-111i3i3−i3−i3i3i3−i3−i3100002i−2i2i−2i−3−333−3−333−i−iii−i−iii22−2−222−2−2−i2−i2i2i2−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+ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ70000000000000000
χ42222-2-2-22-20000-120002i−2i2i−2i0-11-1-111i3i3−i3−i3i3i3−i3−i3222-2-21-2-2−3−333−33−i−iii−i−iii−33-10000-11-1-111i3i3−i3−i3i3i3−i3−i3100002i−2i2i−2i−3−333−3−333−i−iii−i−iii−2−222−2−222i2i2−i2−i2i2i2−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−ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ70000000000000000
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χ1634-4-4-4-44444-4-444-200000000-44-44-444-44-4-44-4422-22-2-42-20000000000000000-2-222-22-22-22-2-22-222-22-220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1644-4-4-4-44444-4-44-2-2000000002-22-22-2-22-222-22-222-22-222-223−2323−23−232323−2323−23−2323−232323−231-222-2-11-11-111-11-1-11-11-100000000−33−333−33−3−33−333−33−30000000000000000000000000000000000000000000000000000000000000000
χ1654-4-4-4-44444-4-44-2-2000000002-22-22-2-22-222-22-222-22-222-2−2323−232323−23−2323−232323−2323−23−23231-222-2-11-11-111-11-1-11-11-1000000003−33−3−33−333−33−3−33−330000000000000000000000000000000000000000000000000000000000000000
χ1664-4-4-4-4444-444-44-200000000-44-44-44-44-444-44-422-22-2-42-20000000000000000-22-2-222-22-22-22-22-2-22-2220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1674-4-4-4-4444-444-4-2-2000000002-22-22-22-22-2-22-2222-22-222-223−2323−23−2323−2323−232323−2323−2323−2312-2-22-11-11-11-11-111-11-1-100000000−33−333−33−33−33−3−33−330000000000000000000000000000000000000000000000000000000000000000
χ1684-4-4-4-4444-444-4-2-2000000002-22-22-22-22-2-22-2222-22-222-2−2323−232323−2323−2323−23−2323−2323−232312-2-22-11-11-11-11-111-11-1-1000000003−33−3−33−33−33−333−33−30000000000000000000000000000000000000000000000000000000000000000

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