Finite Group Databasebeta

← Group #11785251

Character table — Group #11785251

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size11111111222222222222222222222222222222224444444444444444444444444444444444444444444444444444441212121212121212121212121212121212121212121212122424242424242424242424243636363636363636
order12222222334444444466666666666666121212121212121234466666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212222244446666666612121212121212124444121212121212121288888888
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
χ91-1-111-1-111111-111-1-1-1-1-1-1-1-1-111111-1-111111-1-1-1-111-1-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1i−ii−iii−i−iii−i−iii−i−iii−i−i
χ101-1-111-1-111111-111-1-1-1-1-1-1-1-1-111111-1-111111-1-1-1-111-1-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1−ii−ii−i−iii−i−iii−i−iii−i−iii
χ111-1-111-1-111111-111-1-1-1-1-1-1-1-1-111111-1-111111-1-1-1-111-1-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111i−ii−iii−i−iii−i−i−i−iii−i−iii
χ121-1-111-1-111111-111-1-1-1-1-1-1-1-1-111111-1-111111-1-1-1-111-1-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111−ii−ii−i−iii−i−iiiii−i−iii−i−i
χ131-1-111-1-111111-1-1-111-1-1-1-1-1-1-111111-1-11-1-1-1-111111-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111i−i−iiii−i−i−i−iiiii−i−i−i−iii
χ141-1-111-1-111111-1-1-111-1-1-1-1-1-1-111111-1-11-1-1-1-111111-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111−iii−i−i−iiiii−i−i−i−iiiii−i−i
χ151-1-111-1-111111-1-1-111-1-1-1-1-1-1-111111-1-11-1-1-1-111111-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1i−i−iiii−i−i−i−iii−i−iiiii−i−i
χ161-1-111-1-111111-1-1-111-1-1-1-1-1-1-111111-1-11-1-1-1-111111-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1−iii−i−i−iiiii−i−iii−i−i−i−iii
χ172222222222-2-2-22222-222222222222222222222222-2-22222222-2-2-2-2-2-2-2-222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000000
χ182222222222-2-2-2-2-2-2-2-222222222222222-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2222200000000000000000000000000000000000000000000
χ19222222222-12222222222-1-1-1-1222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-122-1-122-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ20222222222-12222222222-1-1-1-1222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-122-1-122-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111100000000000000000000
χ21222222222-1222-2-2-2-2222-1-1-1-1222-1-122-111111111-1-2-2-1-1-1-1-1-1-122-1-122-1-1-2-2-2-211-2-2-2-211-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000
χ22222222222-1222-2-2-2-2222-1-1-1-1222-1-122-111111111-1-2-2-1-1-1-1-1-1-122-1-122-1-1-2-2-2-211-2-2-2-211-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000000000000000
χ23222222222-1-2-2-22222-222-1-1-1-1222-1-122-1-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1-2-211-2-21122-2-21122-2-21111111111-1-1-1-11111-1-1-1-1111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300000000000000000000
χ24222222222-1-2-2-22222-222-1-1-1-1222-1-122-1-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1-2-211-2-21122-2-21122-2-21111111111-1-1-1-11111-1-1-1-1111100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300000000000000000000
χ25222222222-1-2-2-2-2-2-2-2-222-1-1-1-1222-1-122-111111111-122-1-1-1-1-1-1-1-2-211-2-211-2-222-1-1-2-222-1-1111111111111-1-1-1-11111-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i300000000000000000000
χ26222222222-1-2-2-2-2-2-2-2-222-1-1-1-1222-1-122-111111111-122-1-1-1-1-1-1-1-2-211-2-211-2-222-1-1-2-222-1-1111111111111-1-1-1-11111-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i300000000000000000000
χ2722222222-1222222222-1-12222-1-1-122-1-1222222222-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-100000000
χ2822222222-1222222222-1-12222-1-1-122-1-1222222222-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-21111111100000000
χ2922222222-12222-2-2-2-22-1-12222-1-1-122-1-12-2-2-2-2-2-2-2-2-1-2-2-1-1-1-1-1-1-1-1-122-1-1221111-2-21111-2-2-1-1-1-1-1-1-1-1111111111111111100000000000000000000000022-2-2-1-1-1-1111100000000
χ3022222222-12222-2-2-2-22-1-12222-1-1-122-1-12-2-2-2-2-2-2-2-2-1-2-2-1-1-1-1-1-1-1-1-122-1-1221111-2-21111-2-2-1-1-1-1-1-1-1-11111111111111111000000000000000000000000-2-2221111-1-1-1-100000000
χ3122222222-12-2-2-22222-2-1-12222-1-1-122-1-1222222222-1-2-2-1-1-1-1-1-1-111-2-211-2-2-1-111-2-2-1-111-2-211111111-1-1-1-11111-1-1-1-111110000000000000000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ3222222222-12-2-2-22222-2-1-12222-1-1-122-1-1222222222-1-2-2-1-1-1-1-1-1-111-2-211-2-2-1-111-2-2-1-111-2-211111111-1-1-1-11111-1-1-1-111110000000000000000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ3322222222-12-2-2-2-2-2-2-2-2-1-12222-1-1-122-1-12-2-2-2-2-2-2-2-2-122-1-1-1-1-1-1-111-2-211-2-211-1-12211-1-122111111111111-1-1-1-11111-1-1-1-10000000000000000000000000000−i3i3−i3i3i3−i3i3−i300000000
χ3422222222-12-2-2-2-2-2-2-2-2-1-12222-1-1-122-1-12-2-2-2-2-2-2-2-2-122-1-1-1-1-1-1-111-2-211-2-211-1-12211-1-122111111111111-1-1-1-11111-1-1-1-10000000000000000000000000000i3−i3i3−i3−i3i3−i3i300000000
χ352222-2-2-2-2222-220000-22222-2-22-2-22-2-2-2-20000000020022-2-22-2-22-22-22-22-200000000000022-2-222-2-200000000000000002-22-200002-22-22-22-20000000000000000000000000000
χ362222-2-2-2-2222-220000-22222-2-22-2-22-2-2-2-20000000020022-2-22-2-22-22-22-22-200000000000022-2-222-2-20000000000000000-22-220000-22-22-22-220000000000000000000000000000
χ372222-2-2-2-222-22-2000022222-2-22-2-22-2-2-2-20000000020022-2-22-2-2-22-22-22-22000000000000-2-222-2-222000000000000000000002i−2i2i−2i000000002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ382222-2-2-2-222-22-2000022222-2-22-2-22-2-2-2-20000000020022-2-22-2-2-22-22-22-22000000000000-2-222-2-22200000000000000000000−2i2i−2i2i00000000−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ392222-2-2-2-22-12-220000-222-1-1112-2-2-11-2-2133−3−333−3−3-100-1-111-1112-2-112-2-1100003−300003−3-1-111-1-11133−3−333−3−333−3−333−3−32-22-20000-11-11-11-113−3−333−3−3300000000000000000000
χ402222-2-2-2-22-12-220000-222-1-1112-2-2-11-2-2133−3−333−3−3-100-1-111-1112-2-112-2-1100003−300003−3-1-111-1-11133−3−333−3−333−3−333−3−3-22-2200001-11-11-11-1−333−3−333−300000000000000000000
χ412222-2-2-2-22-12-220000-222-1-1112-2-2-11-2-21−3−333−3−333-100-1-111-1112-2-112-2-110000−330000−33-1-111-1-111−3−333−3−333−3−333−3−3332-22-20000-11-11-11-11−333−3−333−300000000000000000000
χ422222-2-2-2-22-12-220000-222-1-1112-2-2-11-2-21−3−333−3−333-100-1-111-1112-2-112-2-110000−330000−33-1-111-1-111−3−333−3−333−3−333−3−333-22-2200001-11-11-11-13−3−333−3−3300000000000000000000
χ432222-2-2-2-22-1-22-20000222-1-1112-2-2-11-2-2133−3−333−3−3-100-1-111-111-221-1-221-10000−330000−3311-1-111-1-133−3−3−3−33333−3−3−3−33300002i−2i2i−2i−i3i3i3−i3−i3i3i3−i3−ii−ii−ii−ii00000000000000000000
χ442222-2-2-2-22-1-22-20000222-1-1112-2-2-11-2-2133−3−333−3−3-100-1-111-111-221-1-221-10000−330000−3311-1-111-1-133−3−3−3−33333−3−3−3−3330000−2i2i−2i2ii3−i3−i3i3i3−i3−i3i3i−ii−ii−ii−i00000000000000000000
χ452222-2-2-2-22-1-22-20000222-1-1112-2-2-11-2-21−3−333−3−333-100-1-111-111-221-1-221-100003−300003−311-1-111-1-1−3−33333−3−3−3−33333−3−300002i−2i2i−2ii3−i3−i3i3i3−i3−i3i3−ii−ii−ii−ii00000000000000000000
χ462222-2-2-2-22-1-22-20000222-1-1112-2-2-11-2-21−3−333−3−333-100-1-111-111-221-1-221-100003−300003−311-1-111-1-1−3−33333−3−3−3−33333−3−30000−2i2i−2i2i−i3i3i3−i3−i3i3i3−i3i−ii−ii−ii−i00000000000000000000
χ4722-2-222-2-2220002i−2i2i−2i02-22-22-2-22-2-222-2-22i−2i2i−2i2i−2i2i−2i2002-22-2-22-2000000002i−2i00002i−2i0000000000002i−2i2i−2i00002i−2i2i−2i00000000000000000000000000000000000000002−22−2−i2i2−i2i2
χ4822-2-222-2-2220002i−2i2i−2i02-22-22-2-22-2-222-2-22i−2i2i−2i2i−2i2i−2i2002-22-2-22-2000000002i−2i00002i−2i0000000000002i−2i2i−2i00002i−2i2i−2i0000000000000000000000000000000000000000−22−22i2−i2i2−i2
χ4922-2-222-2-222000−2i2i−2i2i02-22-22-2-22-2-222-2-2−2i2i−2i2i−2i2i−2i2i2002-22-2-22-200000000−2i2i0000−2i2i000000000000−2i2i−2i2i0000−2i2i−2i2i00000000000000000000000000000000000000002−22−2i2−i2i2−i2
χ5022-2-222-2-222000−2i2i−2i2i02-22-22-2-22-2-222-2-2−2i2i−2i2i−2i2i−2i2i2002-22-2-22-200000000−2i2i0000−2i2i000000000000−2i2i−2i2i0000−2i2i−2i2i0000000000000000000000000000000000000000−22−22−i2i2−i2i2
χ512-22-22-22-2220002i−2i−2i2i0-22-22-22-22-2-22-22-22i−2i2i−2i−2i2i−2i2i200-22-22-22-2000000002i−2i0000−2i2i0000000000002i−2i2i−2i0000−2i2i−2i2i0000000000000000000000000000000000000000−i2i2i2−i2−222−2
χ522-22-22-22-2220002i−2i−2i2i0-22-22-22-22-2-22-22-22i−2i2i−2i−2i2i−2i2i200-22-22-22-2000000002i−2i0000−2i2i0000000000002i−2i2i−2i0000−2i2i−2i2i0000000000000000000000000000000000000000i2−i2−i2i22−2−22
χ532-22-22-22-222000−2i2i2i−2i0-22-22-22-22-2-22-22-2−2i2i−2i2i2i−2i2i−2i200-22-22-22-200000000−2i2i00002i−2i000000000000−2i2i−2i2i00002i−2i2i−2i0000000000000000000000000000000000000000−i2i2i2−i22−2−22
χ542-22-22-22-222000−2i2i2i−2i0-22-22-22-22-2-22-22-2−2i2i−2i2i2i−2i2i−2i200-22-22-22-200000000−2i2i00002i−2i000000000000−2i2i−2i2i00002i−2i2i−2i0000000000000000000000000000000000000000i2−i2−i2i2−222−2
χ552-2-222-2-2222-2-2222-2-22-2-2-2-2-2-222222-2-222222-2-2-2-22-22-2-2-2-2222-2-2-2-2222222-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000000000
χ562-2-222-2-2222-2-22-2-2222-2-2-2-2-2-222222-2-22-2-2-2-2222222-2-2-2-2-2222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-200000000000000000000000000000000000000000000
χ572-2-222-2-222-122-222-2-2-2-2-21111222-1-1-2-2-1-1-1-1-11111-12-21111-1-1-122-1-1-2-2112222-1-1-2-2-2-211-1-1-1-11111-1-1-1-1-1-1-1-11111111122-2-222-2-2-1-1-1-11111-1-1-1-1111100000000000000000000
χ582-2-222-2-222-122-222-2-2-2-2-21111222-1-1-2-2-1-1-1-1-11111-12-21111-1-1-122-1-1-2-2112222-1-1-2-2-2-211-1-1-1-11111-1-1-1-1-1-1-1-111111111-2-222-2-2221111-1-1-1-11111-1-1-1-100000000000000000000
χ592-2-222-2-222-122-2-2-222-2-2-21111222-1-1-2-2-11111-1-1-1-1-1-221111-1-1-122-1-1-2-211-2-2-2-2112222-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-100000000000000000000
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χ1334-4-44-444-4-244-4-40000422-4-444-2224-4-2-2-400000000-20022-2-2-222-224-42-2-44000000000000-2-22222-2-2000000000000000000000000000000000000000000000000000000000000
χ1344-4-44-444-4-24-4440000-422-4-444-2224-4-2-2-400000000-20022-2-2-2222-2-44-224-400000000000022-2-2-2-222000000000000000000000000000000000000000000000000000000000000
χ1354-4-44-444-4-2-24-4-4000042222-2-2-222-22-2-222323−23−23−23−232323100-1-1111-1-1-22-222-22-2000023−230000−232311-1-1-1-111−3−333−3−33333−3−333−3−300000000000000000000000000000000000000000000
χ1364-4-44-444-4-2-24-4-4000042222-2-2-222-22-2-22−23−2323232323−23−23100-1-1111-1-1-22-222-22-20000−2323000023−2311-1-1-1-11133−3−333−3−3−3−333−3−33300000000000000000000000000000000000000000000
χ1374-4-44-444-4-2-2-4440000-42222-2-2-222-22-2-222323−23−23−23−232323100-1-1111-1-12-22-2-22-220000−2323000023−23-1-11111-1-1−3−33333−3−333−3−3−3−33300000000000000000000000000000000000000000000
χ1384-4-44-444-4-2-2-4440000-42222-2-2-222-22-2-22−23−2323232323−23−23100-1-1111-1-12-22-2-22-22000023−230000−2323-1-11111-1-133−3−3−3−333−3−33333−3−300000000000000000000000000000000000000000000

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