Finite Group Databasebeta

← Group #11791664

Character table — Group #11791664

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size11111111222222222222222222222222222222224444444444444444444444444444444444444444444444444444441212121212121212121212121212121212121212121212122424242424242424242424243636363636363636
order1222222233444444446666666666666612121212121212123446666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121244444444121212121212121212121212121212124444121212121212121288888888
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
χ51111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ71111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111
χ81111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111111111-1-1-1-1
χ91-1-11-1-1111111-111-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-1-11111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1-11-111-1-111-1-1ii−i−iii−i−i
χ101-1-11-1-1111111-111-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-1-11111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i-11-11-1-111-1-111−i−iii−i−iii
χ111-1-11-1-1111111-111-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-1-11111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii1-11-111-1-111-1-1−i−iii−i−iii
χ121-1-11-1-1111111-111-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-1-11111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii-11-11-1-111-1-111ii−i−iii−i−i
χ131-1-11-1-1111111-1-1-111-1-1-1-1-1-1-11111-1-111-1-1-1-111111-11-1-1-1-11111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii1-1-1111-1-1-1-111ii−i−i−i−iii
χ141-1-11-1-1111111-1-1-111-1-1-1-1-1-1-11111-1-111-1-1-1-111111-11-1-1-1-11111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-111-1-1-11111-1-1−i−iiiii−i−i
χ151-1-11-1-1111111-1-1-111-1-1-1-1-1-1-11111-1-111-1-1-1-111111-11-1-1-1-11111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i1-1-1111-1-1-1-111−i−iiiii−i−i
χ161-1-11-1-1111111-1-1-111-1-1-1-1-1-1-11111-1-111-1-1-1-111111-11-1-1-1-11111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-111-1-1-11111-1-1ii−i−i−i−iii
χ172222222222-2-2-22222-222222222222222222222222-2-22222222-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000000
χ182222222222-2-2-2-2-2-2-2-222222222222222-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-22222-2-222-2-222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2222200000000000000000000000000000000000000000000
χ19222222222-1222222222222-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-122-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ20222222222-1222222222222-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-122-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111100000000000000000000
χ21222222222-1222-2-2-2-222222-1-12-1-1-1-1-12211111111-1-2-2-1-1-1-1-1-1-122-1-122-1-11111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000
χ22222222222-1222-2-2-2-222222-1-12-1-1-1-1-12211111111-1-2-2-1-1-1-1-1-1-122-1-122-1-11111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000000000000000
χ23222222222-1-2-2-22222-22222-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1-2-211-2-211111122-2-222-2-211111111-1-1-1-11111-1-1-1-1111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300000000000000000000
χ24222222222-1-2-2-22222-22222-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1-2-211-2-211111122-2-222-2-211111111-1-1-1-11111-1-1-1-1111100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300000000000000000000
χ25222222222-1-2-2-2-2-2-2-2-22222-1-12-1-1-1-1-12211111111-122-1-1-1-1-1-1-1-2-211-2-211-1-1-1-1-2-222-2-222111111111111-1-1-1-11111-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i300000000000000000000
χ26222222222-1-2-2-2-2-2-2-2-22222-1-12-1-1-1-1-12211111111-122-1-1-1-1-1-1-1-2-211-2-211-1-1-1-1-2-222-2-222111111111111-1-1-1-11111-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i300000000000000000000
χ2722222222-1222222222-1-1-1-122-122222-1-122222222-122-1-1-1-1-1-1-1-1-122-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-100000000
χ2822222222-1222222222-1-1-1-122-122222-1-122222222-122-1-1-1-1-1-1-1-1-122-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-21111111100000000
χ2922222222-12222-2-2-2-22-1-1-1-122-122222-1-1-2-2-2-2-2-2-2-2-1-2-2-1-1-1-1-1-1-1-1-122-1-122-2-2-2-211111111-1-1-1-1-1-1-1-1111111111111111100000000000000000000000022-2-2-1-1-1-1111100000000
χ3022222222-12222-2-2-2-22-1-1-1-122-122222-1-1-2-2-2-2-2-2-2-2-1-2-2-1-1-1-1-1-1-1-1-122-1-122-2-2-2-211111111-1-1-1-1-1-1-1-11111111111111111000000000000000000000000-2-2221111-1-1-1-100000000
χ3122222222-12-2-2-22222-2-1-1-1-122-122222-1-122222222-1-2-2-1-1-1-1-1-1-111-2-211-2-2-2-2-2-2-1-111-1-11111111111-1-1-1-11111-1-1-1-111110000000000000000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ3222222222-12-2-2-22222-2-1-1-1-122-122222-1-122222222-1-2-2-1-1-1-1-1-1-111-2-211-2-2-2-2-2-2-1-111-1-11111111111-1-1-1-11111-1-1-1-111110000000000000000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ3322222222-12-2-2-2-2-2-2-2-2-1-1-1-122-122222-1-1-2-2-2-2-2-2-2-2-122-1-1-1-1-1-1-111-2-211-2-2222211-1-111-1-1111111111111-1-1-1-11111-1-1-1-10000000000000000000000000000−i3i3−i3i3i3−i3i3−i300000000
χ3422222222-12-2-2-2-2-2-2-2-2-1-1-1-122-122222-1-1-2-2-2-2-2-2-2-2-122-1-1-1-1-1-1-111-2-211-2-2222211-1-111-1-1111111111111-1-1-1-11111-1-1-1-10000000000000000000000000000i3−i3i3−i3−i3i3−i3i300000000
χ3522-222-2-2-2222-220000-222-2-22-222-2-22-2-2-20000000020022-2-22-2-22-22-22-22-200000000000022-2-222-2-2000000000000000000002-22-2000000002-22-22-22-200000000000000000000
χ3622-222-2-2-2222-220000-222-2-22-222-2-22-2-2-20000000020022-2-22-2-22-22-22-22-200000000000022-2-222-2-200000000000000000000-22-2200000000-22-22-22-2200000000000000000000
χ3722-222-2-2-222-22-20000222-2-22-222-2-22-2-2-20000000020022-2-22-2-2-22-22-22-22000000000000-2-222-2-22200000000000000002i−2i2i−2i00002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000
χ3822-222-2-2-222-22-20000222-2-22-222-2-22-2-2-20000000020022-2-22-2-2-22-22-22-22000000000000-2-222-2-2220000000000000000−2i2i−2i2i0000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000
χ3922-222-2-2-22-12-220000-222-2-2-112-111-11-2-233−3−333−3−3-100-1-111-1112-2-112-2-113−33−300000000-1-111-1-11133−3−333−3−333−3−333−3−300002-22-23−3−333−3−33-11-11-11-1100000000000000000000
χ4022-222-2-2-22-12-220000-222-2-2-112-111-11-2-233−3−333−3−3-100-1-111-1112-2-112-2-113−33−300000000-1-111-1-11133−3−333−3−333−3−333−3−30000-22-22−333−3−333−31-11-11-11-100000000000000000000
χ4122-222-2-2-22-12-220000-222-2-2-112-111-11-2-2−3−333−3−333-100-1-111-1112-2-112-2-11−33−3300000000-1-111-1-111−3−333−3−333−3−333−3−33300002-22-2−333−3−333−3-11-11-11-1100000000000000000000
χ4222-222-2-2-22-12-220000-222-2-2-112-111-11-2-2−3−333−3−333-100-1-111-1112-2-112-2-11−33−3300000000-1-111-1-111−3−333−3−333−3−333−3−3330000-22-223−3−333−3−331-11-11-11-100000000000000000000
χ4322-222-2-2-22-1-22-20000222-2-2-112-111-11-2-233−3−333−3−3-100-1-111-111-221-1-221-1−33−330000000011-1-111-1-133−3−3−3−33333−3−3−3−3332i−2i2i−2i0000−ii−ii−ii−ii−i3i3i3−i3−i3i3i3−i300000000000000000000
χ4422-222-2-2-22-1-22-20000222-2-2-112-111-11-2-233−3−333−3−3-100-1-111-111-221-1-221-1−33−330000000011-1-111-1-133−3−3−3−33333−3−3−3−333−2i2i−2i2i0000i−ii−ii−ii−ii3−i3−i3i3i3−i3−i3i300000000000000000000
χ4522-222-2-2-22-1-22-20000222-2-2-112-111-11-2-2−3−333−3−333-100-1-111-111-221-1-221-13−33−30000000011-1-111-1-1−3−33333−3−3−3−33333−3−32i−2i2i−2i0000−ii−ii−ii−iii3−i3−i3i3i3−i3−i3i300000000000000000000
χ4622-222-2-2-22-1-22-20000222-2-2-112-111-11-2-2−3−333−3−333-100-1-111-111-221-1-221-13−33−30000000011-1-111-1-1−3−33333−3−3−3−33333−3−3−2i2i−2i2i0000i−ii−ii−ii−i−i3i3i3−i3−i3i3i3−i300000000000000000000
χ4722-2-2-222-2220002i−2i2i−2i02-22-22-2-2-22-2-222-22i−2i2i−2i2i−2i2i−2i2002-22-2-22-20000000000002i−2i002i−2i00000000002i−2i2i−2i00002i−2i2i−2i00000000000000000000000000000000000000002−22−2−i2i2−i2i2
χ4822-2-2-222-2220002i−2i2i−2i02-22-22-2-2-22-2-222-22i−2i2i−2i2i−2i2i−2i2002-22-2-22-20000000000002i−2i002i−2i00000000002i−2i2i−2i00002i−2i2i−2i0000000000000000000000000000000000000000−22−22i2−i2i2−i2
χ4922-2-2-222-222000−2i2i−2i2i02-22-22-2-2-22-2-222-2−2i2i−2i2i−2i2i−2i2i2002-22-2-22-2000000000000−2i2i00−2i2i0000000000−2i2i−2i2i0000−2i2i−2i2i00000000000000000000000000000000000000002−22−2i2−i2i2−i2
χ5022-2-2-222-222000−2i2i−2i2i02-22-22-2-2-22-2-222-2−2i2i−2i2i−2i2i−2i2i2002-22-2-22-2000000000000−2i2i00−2i2i0000000000−2i2i−2i2i0000−2i2i−2i2i0000000000000000000000000000000000000000−22−22−i2i2−i2i2
χ512-222-22-2-2222-2-200002-2-222-2222-2-2-22-2-200000000200-2-2222-2-22-22-2-22-2200000000000022-2-2-2-222000000000000000000002i−2i−2i2i000000002i−2i2i−2i−2i2i−2i2i00000000000000000000
χ522-222-22-2-2222-2-200002-2-222-2222-2-2-22-2-200000000200-2-2222-2-22-22-2-22-2200000000000022-2-2-2-22200000000000000000000−2i2i2i−2i00000000−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ532-222-22-2-222-2220000-2-2-222-2222-2-2-22-2-200000000200-2-2222-2-2-22-222-22-2000000000000-2-22222-2-200000000000000002-2-2200002-22-2-22-220000000000000000000000000000
χ542-222-22-2-222-2220000-2-2-222-2222-2-2-22-2-200000000200-2-2222-2-2-22-222-22-2000000000000-2-22222-2-20000000000000000-222-20000-22-222-22-20000000000000000000000000000
χ552-222-22-2-22-12-2-200002-2-2221-12-1111-1-2-233−3−3−3−333-10011-1-1-1112-2-11-221-13−3−3300000000-1-11111-1-133−3−333−3−3−3−333−3−33300002i−2i−2i2ii3−i3−i3i3−i3i3i3−i3−ii−iii−ii−i00000000000000000000
χ562-222-22-2-22-12-2-200002-2-2221-12-1111-1-2-233−3−3−3−333-10011-1-1-1112-2-11-221-13−3−3300000000-1-11111-1-133−3−333−3−3−3−333−3−3330000−2i2i2i−2i−i3i3i3−i3i3−i3−i3i3i−ii−i−ii−ii00000000000000000000
χ572-222-22-2-22-12-2-200002-2-2221-12-1111-1-2-2−3−33333−3−3-10011-1-1-1112-2-11-221-1−333−300000000-1-11111-1-1−3−333−3−33333−3−333−3−300002i−2i−2i2i−i3i3i3−i3i3−i3−i3i3−ii−iii−ii−i00000000000000000000
χ582-222-22-2-22-12-2-200002-2-2221-12-1111-1-2-2−3−33333−3−3-10011-1-1-1112-2-11-221-1−333−300000000-1-11111-1-1−3−333−3−33333−3−333−3−30000−2i2i2i−2ii3−i3−i3i3−i3i3i3−i3i−ii−i−ii−ii00000000000000000000
χ592-222-22-2-22-1-2220000-2-2-2221-12-1111-1-2-233−3−3−3−333-10011-1-1-111-221-12-2-11−333−30000000011-1-1-1-11133−3−3−3−333−3−33333−3−32-2-220000-11-111-11-1−333−33−3−3300000000000000000000
χ602-222-22-2-22-1-2220000-2-2-2221-12-1111-1-2-233−3−3−3−333-10011-1-1-111-221-12-2-11−333−30000000011-1-1-1-11133−3−3−3−333−3−33333−3−3-222-200001-11-1-11-113−3−33−333−300000000000000000000
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χ1364-4-4-444-44-2-2000000002-2-2222222-2-2-22-2−2i32i32i3−2i32i3−2i3−2i32i3100-111-1-1-1100000000000000−23230023−23−3i3i−3i3i3i−3i3i−3ii3−i3−i3i33−33−3−i3i3i3−i3−33−3300000000000000000000000000000000000000000000
χ1374-4-4-444-44-2-2000000002-2-2222222-2-2-22-22i3−2i3−2i32i3−2i32i32i3−2i3100-111-1-1-110000000000000023−2300−2323−3i3i−3i3i3i−3i3i−3i−i3i3i3−i3−33−33i3−i3−i3i33−33−300000000000000000000000000000000000000000000
χ1384-4-4-444-44-2-2000000002-2-2222222-2-2-22-22i3−2i3−2i32i3−2i32i32i3−2i3100-111-1-1-1100000000000000−23230023−233i−3i3i−3i−3i3i−3i3i−i3i3i3−i33−33−3i3−i3−i3i3−33−3300000000000000000000000000000000000000000000

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