Finite Group Databasebeta

← Group #11817780

Character table — Group #11817780

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111111112222222222222222222222222222444444444444444444444444444444444444444444444444444444446666121212121212121212121212121212121212121212121212121224242424242424242424363636367272
order12222222334444666666666666661212121212121212344446666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121244444444444444121212121212121212121212121212122466121212121212224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1
χ61111111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111
χ71111111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ91111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11111-1-1-1-1-1-1111-1
χ101111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-1-1-1-1111111-1-1-11
χ111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111-11111-1-1-1-111-1-1-11
χ121111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-11-1-1-1-11111-1-1111-1
χ131111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-11-1-111-1-111-1-111-11
χ141111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11-111-1-111-1-111-1-11-1
χ151111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-11-1-111-1-11111-1-11-1
χ161111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-111111-111-1-111-1-1-1-111-11
χ17222222222-1222222-1-1-1-122222-1-1-122222222-12222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000022220000000000000000000022-1-1-1-1-1-1-1-1000000
χ18222222222-1222222-1-1-1-122222-1-1-122222222-12222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-200000000000000000000-2-211111111000000
χ19222222222-1222222-1-1-1-122222-1-1-122222222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-21111-1-1-1-1-1-1-1-11111111111111111000000222200000000000000000000-2-211-1-1-1-111000000
χ20222222222-1222222-1-1-1-122222-1-1-122222222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-21111-1-1-1-1-1-1-1-11111111111111111000000-2-2-2-20000000000000000000022-1-11111-1-1000000
χ21222222222-1-2-2-2-222-1-1-1-122222-1-1-1-2-2-2-2-2-2-2-2-122-2-2-1-1-1-1-1-1-111112222-1-1-1-1-2-2-2-2111111111111-1-1-1-1-1-1-1-11111111100000022-2-2000000000000000000002-2-1-1-1-11111000000
χ22222222222-1-2-2-2-222-1-1-1-122222-1-1-1-2-2-2-2-2-2-2-2-122-2-2-1-1-1-1-1-1-111112222-1-1-1-1-2-2-2-2111111111111-1-1-1-1-1-1-1-111111111000000-2-22200000000000000000000-221111-1-1-1-1000000
χ23222222222-1-2-2-2-222-1-1-1-122222-1-1-1-2-2-2-2-2-2-2-2-1-2-222-1-1-1-1-1-1-11111-2-2-2-211112222-1-1-1-11111111111111111-1-1-1-1-1-1-1-100000022-2-200000000000000000000-2211-1-111-1-1000000
χ24222222222-1-2-2-2-222-1-1-1-122222-1-1-1-2-2-2-2-2-2-2-2-1-2-222-1-1-1-1-1-1-11111-2-2-2-211112222-1-1-1-11111111111111111-1-1-1-1-1-1-1-1000000-2-222000000000000000000002-2-1-111-1-111000000
χ2522222222-122222-1-12222-1-1-1-1-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222200002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2622222222-122222-1-12222-1-1-1-1-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-20000-2-2-2-211111111111111110000000000000000
χ2722222222-122222-1-12222-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-122221111-2-2-2-21111-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-20000-2-22211111111-1-1-1-1-1-1-1-10000000000000000
χ2822222222-122222-1-12222-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-122221111-2-2-2-21111-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-222000022-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ2922222222-12-2-2-2-2-1-12222-1-1-1-1-122211111111-122-2-2-1-1-1-1-1-1-1-2-2-2-2-1-1-1-122221111-2-2-2-211111111-1-1-1-1-1-1-1-1111111112222220000-2-2-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ3022222222-12-2-2-2-2-1-12222-1-1-1-1-122211111111-122-2-2-1-1-1-1-1-1-1-2-2-2-2-1-1-1-122221111-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2000022221111-1-1-1-11111-1-1-1-10000000000000000
χ3122222222-12-2-2-2-2-1-12222-1-1-1-1-122211111111-1-2-222-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2-1-1-1-122221111111111111111-1-1-1-1-1-1-1-12222-2-2000022-2-21111-1-1-1-1-1-1-1-111110000000000000000
χ3222222222-12-2-2-2-2-1-12222-1-1-1-1-122211111111-1-2-222-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2-1-1-1-122221111111111111111-1-1-1-1-1-1-1-1-2-2-2-2220000-2-222-1-1-1-111111111-1-1-1-10000000000000000
χ33222-2-2-2-222200002-222-2-2-22-22-22-2-20000000022i−2i0022-2-22-2-200002i2i−2i−2i2i2i−2i−2i00000000000000002i2i2i2i−2i−2i−2i−2i000000002i2i−2i−2i2-20000000022-2-200002i2i−2i−2i00000000000000000000
χ34222-2-2-2-222200002-222-2-2-22-22-22-2-20000000022i−2i0022-2-22-2-200002i2i−2i−2i2i2i−2i−2i00000000000000002i2i2i2i−2i−2i−2i−2i00000000−2i−2i2i2i-2200000000-2-2220000−2i−2i2i2i00000000000000000000
χ35222-2-2-2-222200002-222-2-2-22-22-22-2-2000000002−2i2i0022-2-22-2-20000−2i−2i2i2i−2i−2i2i2i0000000000000000−2i−2i−2i−2i2i2i2i2i000000002i2i−2i−2i-2200000000-2-22200002i2i−2i−2i00000000000000000000
χ36222-2-2-2-222200002-222-2-2-22-22-22-2-2000000002−2i2i0022-2-22-2-20000−2i−2i2i2i−2i−2i2i2i0000000000000000−2i−2i−2i−2i2i2i2i2i00000000−2i−2i2i2i2-20000000022-2-20000−2i−2i2i2i00000000000000000000
χ37222-2-2-2-22-120000-1122-2-21-11-112-2-23333−3−3−3−3-12i−2i00-1-111-1110000−i−iii2i2i−2i−2i−i3−i3i3i300003333−3−3−3−3−i−i−i−iiiii−i3−i3−i3−i3i3i3i3i32i2i−2i−2i2-200000000-1-11133−3−3−i−iii−i3−i3i3i30000000000000000
χ38222-2-2-2-22-120000-1122-2-21-11-112-2-23333−3−3−3−3-12i−2i00-1-111-1110000−i−iii2i2i−2i−2i−i3−i3i3i300003333−3−3−3−3−i−i−i−iiiii−i3−i3−i3−i3i3i3i3i3−2i−2i2i2i-220000000011-1-1−3−333ii−i−ii3i3−i3−i30000000000000000
χ39222-2-2-2-22-120000-1122-2-21-11-112-2-23333−3−3−3−3-1−2i2i00-1-111-1110000ii−i−i−2i−2i2i2ii3i3−i3−i300003333−3−3−3−3iiii−i−i−i−ii3i3i3i3−i3−i3−i3−i32i2i−2i−2i-220000000011-1-1−3−333−i−iii−i3−i3i3i30000000000000000
χ40222-2-2-2-22-120000-1122-2-21-11-112-2-23333−3−3−3−3-1−2i2i00-1-111-1110000ii−i−i−2i−2i2i2ii3i3−i3−i300003333−3−3−3−3iiii−i−i−i−ii3i3i3i3−i3−i3−i3−i3−2i−2i2i2i2-200000000-1-11133−3−3ii−i−ii3i3−i3−i30000000000000000
χ41222-2-2-2-22-120000-1122-2-21-11-112-2-2−3−3−3−33333-12i−2i00-1-111-1110000−i−iii2i2i−2i−2ii3i3−i3−i30000−3−3−3−33333−i−i−i−iiiiii3i3i3i3−i3−i3−i3−i32i2i−2i−2i2-200000000-1-111−3−333−i−iiii3i3−i3−i30000000000000000
χ42222-2-2-2-22-120000-1122-2-21-11-112-2-2−3−3−3−33333-12i−2i00-1-111-1110000−i−iii2i2i−2i−2ii3i3−i3−i30000−3−3−3−33333−i−i−i−iiiiii3i3i3i3−i3−i3−i3−i3−2i−2i2i2i-220000000011-1-133−3−3ii−i−i−i3−i3i3i30000000000000000
χ43222-2-2-2-22-120000-1122-2-21-11-112-2-2−3−3−3−33333-1−2i2i00-1-111-1110000ii−i−i−2i−2i2i2i−i3−i3i3i30000−3−3−3−33333iiii−i−i−i−i−i3−i3−i3−i3i3i3i3i32i2i−2i−2i-220000000011-1-133−3−3−i−iiii3i3−i3−i30000000000000000
χ44222-2-2-2-22-120000-1122-2-21-11-112-2-2−3−3−3−33333-1−2i2i00-1-111-1110000ii−i−i−2i−2i2i2i−i3−i3i3i30000−3−3−3−33333iiii−i−i−i−i−i3−i3−i3−i3i3i3i3i3−2i−2i2i2i2-200000000-1-111−3−333ii−i−i−i3−i3i3i30000000000000000
χ4522-2-22-22-2222i2i−2i−2i2-22-22-2-2-22-22-22-22i2i−2i−2i2i2i−2i−2i200002-22-2-22-22i2i−2i−2i00000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000000000002-22i−2i00
χ4622-2-22-22-2222i2i−2i−2i2-22-22-2-2-22-22-22-22i2i−2i−2i2i2i−2i−2i200002-22-2-22-22i2i−2i−2i00000000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000000000000000-22−2i2i00
χ4722-2-22-22-222−2i−2i2i2i2-22-22-2-2-22-22-22-2−2i−2i2i2i−2i−2i2i2i200002-22-2-22-2−2i−2i2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000002-2−2i2i00
χ4822-2-22-22-222−2i−2i2i2i2-22-22-2-2-22-22-22-2−2i−2i2i2i−2i−2i2i2i200002-22-2-22-2−2i−2i2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000-222i−2i00
χ492-222-2-22-2220000-2-2-222-2222-2-2-2-22000000002002i−2i-222-2-2-220000000000002i−2i2i−2i2i2i−2i−2i00000000000000002i2i−2i−2i2i2i−2i−2i2i−2i2i−2i0000002-20000002-22-22i−2i2i−2i00000000000000000000
χ502-222-2-22-2220000-2-2-222-2222-2-2-2-22000000002002i−2i-222-2-2-220000000000002i−2i2i−2i2i2i−2i−2i00000000000000002i2i−2i−2i2i2i−2i−2i−2i2i−2i2i000000-22000000-22-22−2i2i−2i2i00000000000000000000
χ512-222-2-22-2220000-2-2-222-2222-2-2-2-2200000000200−2i2i-222-2-2-22000000000000−2i2i−2i2i−2i−2i2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i2i−2i2i−2i000000-22000000-22-222i−2i2i−2i00000000000000000000
χ522-222-2-22-2220000-2-2-222-2222-2-2-2-2200000000200−2i2i-222-2-2-22000000000000−2i2i−2i2i−2i−2i2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i−2i2i−2i2i0000002-20000002-22-2−2i2i−2i2i00000000000000000000
χ532-222-2-22-2-12000011-222-2-1-1-111-2-22−i3i3−i3i3−i3i3−i3i3-1002i−2i1-1-1111-100003−33−30000−ii−ii2i2i−2i−2i−i3i3−i3i3−i3i3−i3i333−3−333−3−3−i−iii−i−iii2i−2i2i−2i0000002-200−i3i3−i3i3-11-11−ii−ii3−33−30000000000000000
χ542-222-2-22-2-12000011-222-2-1-1-111-2-22−i3i3−i3i3−i3i3−i3i3-1002i−2i1-1-1111-100003−33−30000−ii−ii2i2i−2i−2i−i3i3−i3i3−i3i3−i3i333−3−333−3−3−i−iii−i−iii−2i2i−2i2i000000-2200i3−i3i3−i31-11-1i−ii−i−33−330000000000000000
χ552-222-2-22-2-12000011-222-2-1-1-111-2-22−i3i3−i3i3−i3i3−i3i3-100−2i2i1-1-1111-10000−33−330000i−ii−i−2i−2i2i2i−i3i3−i3i3−i3i3−i3i3−3−333−3−333ii−i−iii−i−i2i−2i2i−2i000000-2200i3−i3i3−i31-11-1−ii−ii3−33−30000000000000000
χ562-222-2-22-2-12000011-222-2-1-1-111-2-22−i3i3−i3i3−i3i3−i3i3-100−2i2i1-1-1111-10000−33−330000i−ii−i−2i−2i2i2i−i3i3−i3i3−i3i3−i3i3−3−333−3−333ii−i−iii−i−i−2i2i−2i2i0000002-200−i3i3−i3i3-11-11i−ii−i−33−330000000000000000
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χ1244-4-444-4-44-244-4-4422-4-4-4-4-222-2-2444-222-22-2-22-200002222-2-2-24-4-440000000000000000-222-22-2-2200000000000000000000000000000000000000000000000000000000000000
χ1254-4-444-4-44-24-444-422-4-4-4-4-222-2-24442-2-22-222-2-200002222-2-2-2-444-400000000000000002-2-22-222-200000000000000000000000000000000000000000000000000000000000000
χ1264-4-444-4-44-2-24-4-44222222-222-2-2-2-2-2-222-22-2-2210000-1-1-1-1111-222-20000−2i32i3−2i32i30000−2i32i3−2i32i31-1-11-111-1i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30000000000000000000000000000000000000000000000
χ1274-4-444-4-44-2-24-4-44222222-222-2-2-2-2-2-222-22-2-2210000-1-1-1-1111-222-200002i3−2i32i3−2i300002i3−2i32i3−2i31-1-11-111-1−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30000000000000000000000000000000000000000000000
χ1284-4-444-4-44-2-2-444-4222222-222-2-2-2-2-22-2-22-222-210000-1-1-1-11112-2-220000−2i32i3−2i32i300002i3−2i32i3−2i3-111-11-1-11i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3−i3i30000000000000000000000000000000000000000000000
χ1294-4-444-4-44-2-2-444-4222222-222-2-2-2-2-22-2-22-222-210000-1-1-1-11112-2-2200002i3−2i32i3−2i30000−2i32i3−2i32i3-111-11-1-11−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3i3−i30000000000000000000000000000000000000000000000
χ1304-4-4-4-4444440000-44-4-444-4-444-44-4-40000000040000-4-4444-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1314-4-4-4-44444-20000-4422-2-2-4-444-4-22200000000-2000022-2-2-2220000000023−23−2323000000000000000023−2323−23−2323−2323000000000000000000000000000000000000000000000000000000
χ1324-4-4-4-44444-20000-4422-2-2-4-444-4-22200000000-2000022-2-2-22200000000−232323−230000000000000000−2323−232323−2323−23000000000000000000000000000000000000000000000000000000
χ1334-4-4-4-4444-2400002-2-4-44422-2-224-4-423−23−232323−23−2323-2000022-2-2-2220000000000000000000023−23−232323−23−232300000000000000000000000000000000000000000000000000000000000000
χ1344-4-4-4-4444-2400002-2-4-44422-2-224-4-4−232323−23−232323−23-2000022-2-2-22200000000000000000000−232323−23−232323−2300000000000000000000000000000000000000000000000000000000000000
χ1354-4-4-4-4444-2-200002-222-2-222-2-22-22223−23−232323−23−232310000-1-1111-1-10000000023−23−232300000000−333−3−333−3−33−333−33−3-33-333-33-30000000000000000000000000000000000000000000000
χ1364-4-4-4-4444-2-200002-222-2-222-2-22-22223−23−232323−23−232310000-1-1111-1-100000000−232323−2300000000−333−3−333−33−33−3−33−333-33-3-33-330000000000000000000000000000000000000000000000
χ1374-4-4-4-4444-2-200002-222-2-222-2-22-222−232323−23−232323−2310000-1-1111-1-10000000023−23−2323000000003−3−333−3−33−33−333−33−33-33-3-33-330000000000000000000000000000000000000000000000
χ1384-4-4-4-4444-2-200002-222-2-222-2-22-222−232323−23−232323−2310000-1-1111-1-100000000−232323−23000000003−3−333−3−333−33−3−33−33-33-333-33-30000000000000000000000000000000000000000000000

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