Finite Group Databasebeta

← Group #11812871

Character table — Group #11812871

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111111112222222222222222222222222222444444444444444444444444444444444444444444444444444444446666121212121212121212121212121212121212121212121212121224242424242424242424363636367272
order12222222222233666666666666666666666634444666666666666666666612121212121212121212121212121212121212121212121212121212121212124444444444444412121212121212121212121212121212441212121212121212224424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ61111111111111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ71111111111111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1
χ911111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11111-1-1-1-1-1-1111-1
χ1011111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-11-1-1-1-1111111-1-1-11
χ1111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111-11111-1-1-1-111-1-1-11
χ1211111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-11-1-1-1-11111-1-1111-1
χ1311111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1111-1-111-1-1-1-111-11
χ1411111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-11-1-1-111-1-11111-1-11-1
χ1511111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111-1111-1-111-1-111-1-11-1
χ1611111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111-1-1-111-1-111-1-111-11
χ172222222222222-122222-1-1-122222222-1-1-1-122-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002200000022000000000000000022-1-1-1-1-1-1-1-1000000
χ182222222222222-122222-1-1-122222222-1-1-1-122-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2000000-2-20000000000000000-2-211111111000000
χ192222222222222-122222-1-1-122222222-1-1-1-122-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-21111111111111111000022000000220000000000000000-2-2-1-11111-1-1000000
χ202222222222222-122222-1-1-122222222-1-1-1-122-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-211111111111111110000-2-2000000-2-200000000000000002211-1-1-1-111000000
χ21222222222222-12-1-1-1-1-1222-1-1-1-1-1-1-1-12222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220022222200-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ22222222222222-12-1-1-1-1-1222-1-1-1-1-1-1-1-12222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200-2-2-2-2-2-20011111111111111110000000000000000
χ23222222222222-12-1-1-1-1-1222-1-1-1-1-1-1-1-12222-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111222200-2-2-2-2220011111111-1-1-1-1-1-1-1-10000000000000000
χ24222222222222-12-1-1-1-1-1222-1-1-1-1-1-1-1-12222-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111-2-2-2-2002222-2-200-1-1-1-1-1-1-1-1111111110000000000000000
χ2522222222-2-2-2-22-122222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-122-122-2-21111-1-1-1-1-1-111111111-1-1-1-1-111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000022000000-2-200000000000000002-2-1-1-1-11111000000
χ2622222222-2-2-2-22-122222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-122-122-2-21111-1-1-1-1-1-111111111-1-1-1-1-111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000-2-2000000220000000000000000-221111-1-1-1-1000000
χ2722222222-2-2-2-22-122222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-122-1-2-2221111-1-1-1-1-1-111111111-11111-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-1000022000000-2-20000000000000000-22-1-111-1-111000000
χ2822222222-2-2-2-22-122222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-122-1-2-2221111-1-1-1-1-1-111111111-11111-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-10000-2-20000002200000000000000002-211-1-111-1-1000000
χ2922222222-2-2-2-2-12-1-1-1-1-1222111111112222-1-1-122-2-2-2-2-2-2-1-1-1-1-1-111111111-12222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-11111111122220022-2-2-2-200-1-1-1-11111-1-1-1-111110000000000000000
χ3022222222-2-2-2-2-12-1-1-1-1-1222111111112222-1-1-122-2-2-2-2-2-2-1-1-1-1-1-111111111-12222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111-2-2-2-200-2-22222001111-1-1-1-11111-1-1-1-10000000000000000
χ3122222222-2-2-2-2-12-1-1-1-1-1222111111112222-1-1-1-2-222-2-2-2-2-1-1-1-1-1-111111111-1-2-2-2-222221111-1-1-1-111111111-1-1-1-1-1-1-1-1222200-2-222-2-2001111-1-1-1-1-1-1-1-111110000000000000000
χ3222222222-2-2-2-2-12-1-1-1-1-1222111111112222-1-1-1-2-222-2-2-2-2-1-1-1-1-1-111111111-1-2-2-2-222221111-1-1-1-111111111-1-1-1-1-1-1-1-1-2-2-2-20022-2-22200-1-1-1-111111111-1-1-1-10000000000000000
χ3322-2-2-22-2222-2-22222-2-2-22222222-2-2-2-2-2-2-2-22-22000022-2-2222-2-2-22222-2-2-2-2-2000000000000000000000000000000002i2i−2i−2i0000002i−2i00000000002i2i−2i−2i2i2i−2i−2i0000000000000000
χ3422-2-2-22-2222-2-22222-2-2-22222222-2-2-2-2-2-2-2-22-22000022-2-2222-2-2-22222-2-2-2-2-200000000000000000000000000000000−2i−2i2i2i000000−2i2i0000000000−2i−2i2i2i−2i−2i2i2i0000000000000000
χ3522-2-2-22-2222-2-2-12-1-1111222-1-1-1-11111-2-2-2-2-11-1000022-2-2-1-1-1111-1-1-1-1111110000000033−3−333−3−33333−3−3−3−33333−3−3−3−32i2i−2i−2i0000002i−2i00−i3−i3i3i3−i3−i3i3i3−i−iii−i−iii0000000000000000
χ3622-2-2-22-2222-2-2-12-1-1111222-1-1-1-11111-2-2-2-2-11-1000022-2-2-1-1-1111-1-1-1-1111110000000033−3−333−3−33333−3−3−3−33333−3−3−3−3−2i−2i2i2i000000−2i2i00i3i3−i3−i3i3i3−i3−i3ii−i−iii−i−i0000000000000000
χ3722-2-2-22-2222-2-2-12-1-1111222-1-1-1-11111-2-2-2-2-11-1000022-2-2-1-1-1111-1-1-1-11111100000000−3−333−3−333−3−3−3−33333−3−3−3−333332i2i−2i−2i0000002i−2i00i3i3−i3−i3i3i3−i3−i3−i−iii−i−iii0000000000000000
χ3822-2-2-22-2222-2-2-12-1-1111222-1-1-1-11111-2-2-2-2-11-1000022-2-2-1-1-1111-1-1-1-11111100000000−3−333−3−333−3−3−3−33333−3−3−3−33333−2i−2i2i2i000000−2i2i00−i3−i3i3i3−i3−i3i3i3ii−i−iii−i−i0000000000000000
χ3922-2-2-22-22-2-2222222-2-2-2222-2-2-2-22222-2-2-2-22-220000-2-222222-2-2-2-2-2-2-22222-2000000000000000000000000000000002i2i−2i−2i000000−2i2i00000000002i2i−2i−2i−2i−2i2i2i0000000000000000
χ4022-2-2-22-22-2-2222222-2-2-2222-2-2-2-22222-2-2-2-22-220000-2-222222-2-2-2-2-2-2-22222-200000000000000000000000000000000−2i−2i2i2i0000002i−2i0000000000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ4122-2-2-22-22-2-222-12-1-11112221111-1-1-1-1-2-2-2-2-11-10000-2-222-1-1-11111111-1-1-1-110000000033−3−3−3−3333333−3−3−3−3−3−3−3−333332i2i−2i−2i000000−2i2i00−i3−i3i3i3i3i3−i3−i3−i−iiiii−i−i0000000000000000
χ4222-2-2-22-22-2-222-12-1-11112221111-1-1-1-1-2-2-2-2-11-10000-2-222-1-1-11111111-1-1-1-110000000033−3−3−3−3333333−3−3−3−3−3−3−3−33333−2i−2i2i2i0000002i−2i00i3i3−i3−i3−i3−i3i3i3ii−i−i−i−iii0000000000000000
χ4322-2-2-22-22-2-222-12-1-11112221111-1-1-1-1-2-2-2-2-11-10000-2-222-1-1-11111111-1-1-1-1100000000−3−33333−3−3−3−3−3−333333333−3−3−3−32i2i−2i−2i000000−2i2i00i3i3−i3−i3−i3−i3i3i3−i−iiiii−i−i0000000000000000
χ4422-2-2-22-22-2-222-12-1-11112221111-1-1-1-1-2-2-2-2-11-10000-2-222-1-1-11111111-1-1-1-1100000000−3−33333−3−3−3−3−3−333333333−3−3−3−3−2i−2i2i2i0000002i−2i00−i3−i3i3i3i3i3−i3−i3ii−i−i−i−iii0000000000000000
χ452-222-22-2-2000022-2-222-22-2-20000000022-2-22-222i−2i0000002-2-222-200000000-22i2i−2i−2i00002i−2i2i−2i00002i2i−2i−2i2i2i−2i−2i000000002i−2i2i−2i002-20000002-22-200002i−2i2i−2i00000000000000000000
χ462-222-22-2-2000022-2-222-22-2-20000000022-2-22-222i−2i0000002-2-222-200000000-22i2i−2i−2i00002i−2i2i−2i00002i2i−2i−2i2i2i−2i−2i00000000−2i2i−2i2i00-22000000-22-220000−2i2i−2i2i00000000000000000000
χ472-222-22-2-2000022-2-222-22-2-20000000022-2-22-22−2i2i0000002-2-222-200000000-2−2i−2i2i2i0000−2i2i−2i2i0000−2i−2i2i2i−2i−2i2i2i000000002i−2i2i−2i00-22000000-22-2200002i−2i2i−2i00000000000000000000
χ482-222-22-2-2000022-2-222-22-2-20000000022-2-22-22−2i2i0000002-2-222-200000000-2−2i−2i2i2i0000−2i2i−2i2i0000−2i−2i2i2i−2i−2i2i2i00000000−2i2i−2i2i002-20000002-22-20000−2i2i−2i2i00000000000000000000
χ492-222-22-2-20000-1211-1-112-2-2−i3−i3i3i3−i3−i3i3i322-2-2-11-12i−2i000000-111-1-11−i3−i3i3i3−i3−i3i3i312i2i−2i−2i0000−ii−ii3−33−3−i−iii−i−iii33−3−333−3−32i−2i2i−2i002-2000000-11-11−i3i3−i3i3−ii−ii3−33−30000000000000000
χ502-222-22-2-20000-1211-1-112-2-2−i3−i3i3i3−i3−i3i3i322-2-2-11-12i−2i000000-111-1-11−i3−i3i3i3−i3−i3i3i312i2i−2i−2i0000−ii−ii3−33−3−i−iii−i−iii33−3−333−3−3−2i2i−2i2i00-220000001-11-1i3−i3i3−i3i−ii−i−33−330000000000000000
χ512-222-22-2-20000-1211-1-112-2-2−i3−i3i3i3−i3−i3i3i322-2-2-11-1−2i2i000000-111-1-11−i3−i3i3i3−i3−i3i3i31−2i−2i2i2i0000i−ii−i−33−33ii−i−iii−i−i−3−333−3−3332i−2i2i−2i00-220000001-11-1i3−i3i3−i3−ii−ii3−33−30000000000000000
χ522-222-22-2-20000-1211-1-112-2-2−i3−i3i3i3−i3−i3i3i322-2-2-11-1−2i2i000000-111-1-11−i3−i3i3i3−i3−i3i3i31−2i−2i2i2i0000i−ii−i−33−33ii−i−iii−i−i−3−333−3−333−2i2i−2i2i002-2000000-11-11−i3i3−i3i3i−ii−i−33−330000000000000000
χ532-222-22-2-20000-1211-1-112-2-2i3i3−i3−i3i3i3−i3−i322-2-2-11-12i−2i000000-111-1-11i3i3−i3−i3i3i3−i3−i312i2i−2i−2i0000−ii−ii−33−33−i−iii−i−iii−3−333−3−3332i−2i2i−2i002-2000000-11-11i3−i3i3−i3−ii−ii−33−330000000000000000
χ542-222-22-2-20000-1211-1-112-2-2i3i3−i3−i3i3i3−i3−i322-2-2-11-12i−2i000000-111-1-11i3i3−i3−i3i3i3−i3−i312i2i−2i−2i0000−ii−ii−33−33−i−iii−i−iii−3−333−3−333−2i2i−2i2i00-220000001-11-1−i3i3−i3i3i−ii−i3−33−30000000000000000
χ552-222-22-2-20000-1211-1-112-2-2i3i3−i3−i3i3i3−i3−i322-2-2-11-1−2i2i000000-111-1-11i3i3−i3−i3i3i3−i3−i31−2i−2i2i2i0000i−ii−i3−33−3ii−i−iii−i−i33−3−333−3−32i−2i2i−2i00-220000001-11-1−i3i3−i3i3−ii−ii−33−330000000000000000
χ562-222-22-2-20000-1211-1-112-2-2i3i3−i3−i3i3i3−i3−i322-2-2-11-1−2i2i000000-111-1-11i3i3−i3−i3i3i3−i3−i31−2i−2i2i2i0000i−ii−i3−33−3ii−i−iii−i−i33−3−333−3−3−2i2i−2i2i002-2000000-11-11i3−i3i3−i3i−ii−i3−33−30000000000000000
χ572-22-22-2-222-22-2222-22-22-22-22-22-22-22-22-22-2-2-2200002-22-2-22-22-222-22-22-22-2-20000000000000000000000000000000000002i−2i0000002i−2i0000000000000000002i−2i00002i−2i000000
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χ1374-4-4-4444-40000-2-22222-2-2222i32i3−2i3−2i3−2i3−2i32i32i322-2-2-2-21004-400001-1-1-1-11−i3−i3i3i3i3i3−i3−i310000-22-222i3−2i3−2i32i3-222-2−i3−i3i3i3i3i3−i3−i311-1-1-1-1110000000000000000000000000000000000000000000000
χ1384-4-4-4444-40000-2-22222-2-2222i32i3−2i3−2i3−2i3−2i32i32i322-2-2-2-2100-4400001-1-1-1-11−i3−i3i3i3i3i3−i3−i3100002-22-2−2i32i32i3−2i32-2-22i3i3−i3−i3−i3−i3i3i3-1-11111-1-10000000000000000000000000000000000000000000000

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