Finite Group Databasebeta

← Group #11783237

Character table — Group #11783237

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11111111222222222222444444444444444466666666121212122222222244444444444488888888888888881212121212121212242424243333333366666666666612121212121212121212121212121212181818181818181836363636
order12222222344446666666444412121212121212121212121288888888444436666666312121212666666612121212121212121212121212121212242424242424242412121212222222226444466666664444121212121212121212121212888888884444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111-1-11-1-111-1-1111-1-1-11-1ii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i111-1-11-1-111-1-1111-1-1-11-1ii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i111-1-11-1-111-1-1111-1-1-11-1ii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i
χ6111-1-11-1-111-1-1111-1-1-11-1ii−i−i11-1-1iiii−i−i−i−i-1-1-1-11111−i−iii111-1-11-1-111-1-1111-1-1-11-1ii−i−i11-1-1iiii−i−i−i−i-1-1-1-11111−i−iii111-1-11-1-111-1-1111-1-1-11-1ii−i−i11-1-1iiii−i−i−i−i-1-1-1-11111−i−iii
χ7111-1-11-1-111-1-1111-1-1-11-1−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii111-1-11-1-111-1-1111-1-1-11-1−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii111-1-11-1-111-1-1111-1-1-11-1−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii
χ8111-1-11-1-111-1-1111-1-1-11-1−i−iii11-1-1−i−i−i−iiiii-1-1-1-11111ii−i−i111-1-11-1-111-1-1111-1-1-11-1−i−iii11-1-1−i−i−i−iiiii-1-1-1-11111ii−i−i111-1-11-1-111-1-1111-1-1-11-1−i−iii11-1-1−i−i−i−iiiii-1-1-1-11111ii−i−i
χ91-1-11-111-1111-1-1-1-11-1-1111-11-11-11-111-1-111-1-1ii−i−iii−i−ii−ii−i1-1-11-111-1111-1-1-1-11-1-1111-11-11-11-111-1-111-1-1ii−i−iii−i−ii−ii−i1-1-11-111-1111-1-1-1-11-1-1111-11-11-11-111-1-111-1-1ii−i−iii−i−ii−ii−i
χ101-1-11-111-1111-1-1-1-11-1-1111-11-11-11-111-1-111-1-1−i−iii−i−iii−ii−ii1-1-11-111-1111-1-1-1-11-1-1111-11-11-11-111-1-111-1-1−i−iii−i−iii−ii−ii1-1-11-111-1111-1-1-1-11-1-1111-11-11-11-111-1-111-1-1−i−iii−i−iii−ii−ii
χ111-1-11-111-1111-1-1-1-11-1-111-11-111-11-1-1-111-1-111ii−i−iii−i−i−ii−ii1-1-11-111-1111-1-1-1-11-1-111-11-111-11-1-1-111-1-111ii−i−iii−i−i−ii−ii1-1-11-111-1111-1-1-1-11-1-111-11-111-11-1-1-111-1-111ii−i−iii−i−i−ii−ii
χ121-1-11-111-1111-1-1-1-11-1-111-11-111-11-1-1-111-1-111−i−iii−i−iiii−ii−i1-1-11-111-1111-1-1-1-11-1-111-11-111-11-1-1-111-1-111−i−iii−i−iiii−ii−i1-1-11-111-1111-1-1-1-11-1-111-11-111-11-1-1-111-1-111−i−iii−i−iiii−ii−i
χ131-1-1-111-1111-11-1-1-1-1111-1i−i−ii1-1-11ii−i−i−i−iiiii−i−i−i−iii-111-11-1-1-111-1111-11-1-1-1-1111-1i−i−ii1-1-11ii−i−i−i−iiiii−i−i−i−iii-111-11-1-1-111-1111-11-1-1-1-1111-1i−i−ii1-1-11ii−i−i−i−iiiii−i−i−i−iii-111-1
χ141-1-1-111-1111-11-1-1-1-1111-1i−i−ii1-1-11ii−i−i−i−iii−i−iiiii−i−i1-1-111-1-1-111-1111-11-1-1-1-1111-1i−i−ii1-1-11ii−i−i−i−iii−i−iiiii−i−i1-1-111-1-1-111-1111-11-1-1-1-1111-1i−i−ii1-1-11ii−i−i−i−iii−i−iiiii−i−i1-1-11
χ151-1-1-111-1111-11-1-1-1-1111-1−iii−i1-1-11−i−iiiii−i−iii−i−i−i−iii1-1-111-1-1-111-1111-11-1-1-1-1111-1−iii−i1-1-11−i−iiiii−i−iii−i−i−i−iii1-1-111-1-1-111-1111-11-1-1-1-1111-1−iii−i1-1-11−i−iiiii−i−iii−i−i−i−iii1-1-11
χ161-1-1-111-1111-11-1-1-1-1111-1−iii−i1-1-11−i−iiiii−i−i−i−iiiii−i−i-111-11-1-1-111-1111-11-1-1-1-1111-1−iii−i1-1-11−i−iiiii−i−i−i−iiiii−i−i-111-11-1-1-111-1111-11-1-1-1-1111-1−iii−i1-1-11−i−iiiii−i−i−i−iiiii−i−i-111-1
χ17222222222-2-2-2-222222220000-2-2-2-200000000000000000000222222222-2-2-2-222222220000-2-2-2-200000000000000000000222222222-2-2-2-222222220000-2-2-2-200000000000000000000
χ1822222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000022222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000022222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ1922222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111100000000000022222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111100000000000022222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111000000000000
χ2022222222-1-2-2-2-2-1-1-1-1-1-1-100001111−i3i3−i3i3−i3i3−i3i300000000000022222222-1-2-2-2-2-1-1-1-1-1-1-100001111−i3i3−i3i3−i3i3−i3i300000000000022222222-1-2-2-2-2-1-1-1-1-1-1-100001111−i3i3−i3i3−i3i3−i3i3000000000000
χ2122222222-1-2-2-2-2-1-1-1-1-1-1-100001111i3−i3i3−i3i3−i3i3−i300000000000022222222-1-2-2-2-2-1-1-1-1-1-1-100001111i3−i3i3−i3i3−i3i3−i300000000000022222222-1-2-2-2-2-1-1-1-1-1-1-100001111i3−i3i3−i3i3−i3i3−i3000000000000
χ22222-2-22-2-22-222-222-2-2-22-20000-2-22200000000000000000000222-2-22-2-22-222-222-2-2-22-20000-2-22200000000000000000000222-2-22-2-22-222-222-2-2-22-20000-2-22200000000000000000000
χ23222-2-22-2-2-12-2-22-1-1111-112i2i−2i−2i-1-111−i−i−i−iiiii000000000000222-2-22-2-2-12-2-22-1-1111-112i2i−2i−2i-1-111−i−i−i−iiiii000000000000222-2-22-2-2-12-2-22-1-1111-112i2i−2i−2i-1-111−i−i−i−iiiii000000000000
χ24222-2-22-2-2-12-2-22-1-1111-11−2i−2i2i2i-1-111iiii−i−i−i−i000000000000222-2-22-2-2-12-2-22-1-1111-11−2i−2i2i2i-1-111iiii−i−i−i−i000000000000222-2-22-2-2-12-2-22-1-1111-11−2i−2i2i2i-1-111iiii−i−i−i−i000000000000
χ25222-2-22-2-2-1-222-2-1-1111-11000011-1-13−33−3−33−33000000000000222-2-22-2-2-1-222-2-1-1111-11000011-1-13−33−3−33−33000000000000222-2-22-2-2-1-222-2-1-1111-11000011-1-13−33−3−33−33000000000000
χ26222-2-22-2-2-1-222-2-1-1111-11000011-1-1−33−333−33−3000000000000222-2-22-2-2-1-222-2-1-1111-11000011-1-1−33−333−33−3000000000000222-2-22-2-2-1-222-2-1-1111-11000011-1-1−33−333−33−3000000000000
χ2722-222-2-2-2200002-222-2-2-200000000000000002−22−22−22−2000022-222-2-2-2200002-222-2-2-200000000000000002−22−22−22−2000022-222-2-2-2200002-222-2-2-200000000000000002−22−22−22−20000
χ2822-222-2-2-2200002-222-2-2-20000000000000000−22−22−22−22000022-222-2-2-2200002-222-2-2-20000000000000000−22−22−22−22000022-222-2-2-2200002-222-2-2-20000000000000000−22−22−22−220000
χ2922-2-2-2-222200002-2-2-22-2200000000000000002−22−2−22−22000022-2-2-2-222200002-2-2-22-2200000000000000002−22−2−22−22000022-2-2-2-222200002-2-2-22-2200000000000000002−22−2−22−220000
χ3022-2-2-2-222200002-2-2-22-220000000000000000−22−222−22−2000022-2-2-2-222200002-2-2-22-220000000000000000−22−222−22−2000022-2-2-2-222200002-2-2-22-220000000000000000−22−222−22−20000
χ312-222-2-2-2220000-222-22-2-20000000000000000−i2i2i2−i2−i2i2i2−i200002-222-2-2-2220000-222-22-2-20000000000000000−i2i2i2−i2−i2i2i2−i200002-222-2-2-2220000-222-22-2-20000000000000000−i2i2i2−i2−i2i2i2−i20000
χ322-222-2-2-2220000-222-22-2-20000000000000000i2−i2−i2i2i2−i2−i2i200002-222-2-2-2220000-222-22-2-20000000000000000i2−i2−i2i2i2−i2−i2i200002-222-2-2-2220000-222-22-2-20000000000000000i2−i2−i2i2i2−i2−i2i20000
χ332-22-22-22-220000-22-22-2-220000000000000000−i2i2i2−i2i2−i2−i2i200002-22-22-22-220000-22-22-2-220000000000000000−i2i2i2−i2i2−i2−i2i200002-22-22-22-220000-22-22-2-220000000000000000−i2i2i2−i2i2−i2−i2i20000
χ342-22-22-22-220000-22-22-2-220000000000000000i2−i2−i2i2−i2i2i2−i200002-22-22-22-220000-22-22-2-220000000000000000i2−i2−i2i2−i2i2i2−i200002-22-22-22-220000-22-22-2-220000000000000000i2−i2−i2i2−i2i2i2−i20000
χ352-2-22-222-22-2-222-2-22-2-2220000-22-22000000000000000000002-2-22-222-22-2-222-2-22-2-2220000-22-22000000000000000000002-2-22-222-22-2-222-2-22-2-2220000-22-2200000000000000000000
χ362-2-22-222-2-122-2-211-111-1-12-22-2-11-11-1-111-1-1110000000000002-2-22-222-2-122-2-211-111-1-12-22-2-11-11-1-111-1-1110000000000002-2-22-222-2-122-2-211-111-1-12-22-2-11-11-1-111-1-111000000000000
χ372-2-22-222-2-122-2-211-111-1-1-22-22-11-1111-1-111-1-10000000000002-2-22-222-2-122-2-211-111-1-1-22-22-11-1111-1-111-1-10000000000002-2-22-222-2-122-2-211-111-1-1-22-22-11-1111-1-111-1-1000000000000
χ382-2-22-222-2-1-2-22211-111-1-100001-11-1−i3i3i3−i3−i3i3i3−i30000000000002-2-22-222-2-1-2-22211-111-1-100001-11-1−i3i3i3−i3−i3i3i3−i30000000000002-2-22-222-2-1-2-22211-111-1-100001-11-1−i3i3i3−i3−i3i3i3−i3000000000000
χ392-2-22-222-2-1-2-22211-111-1-100001-11-1i3−i3−i3i3i3−i3−i3i30000000000002-2-22-222-2-1-2-22211-111-1-100001-11-1i3−i3−i3i3i3−i3−i3i30000000000002-2-22-222-2-1-2-22211-111-1-100001-11-1i3−i3−i3i3i3−i3−i3i3000000000000
χ402-2-2-222-222-22-22-2-2-2222-20000-222-2000000000000000000002-2-2-222-222-22-22-2-2-2222-20000-222-2000000000000000000002-2-2-222-222-22-22-2-2-2222-20000-222-200000000000000000000
χ412-2-2-222-22-12-22-2111-1-1-112i−2i−2i2i-111-1−i−iiiii−i−i0000000000002-2-2-222-22-12-22-2111-1-1-112i−2i−2i2i-111-1−i−iiiii−i−i0000000000002-2-2-222-22-12-22-2111-1-1-112i−2i−2i2i-111-1−i−iiiii−i−i000000000000
χ422-2-2-222-22-12-22-2111-1-1-11−2i2i2i−2i-111-1ii−i−i−i−iii0000000000002-2-2-222-22-12-22-2111-1-1-11−2i2i2i−2i-111-1ii−i−i−i−iii0000000000002-2-2-222-22-12-22-2111-1-1-11−2i2i2i−2i-111-1ii−i−i−i−iii000000000000
χ432-2-2-222-22-1-22-22111-1-1-1100001-1-113−3−33−333−30000000000002-2-2-222-22-1-22-22111-1-1-1100001-1-113−3−33−333−30000000000002-2-2-222-22-1-22-22111-1-1-1100001-1-113−3−33−333−3000000000000
χ442-2-2-222-22-1-22-22111-1-1-1100001-1-11−333−33−3−330000000000002-2-2-222-22-1-22-22111-1-1-1100001-1-11−333−33−3−330000000000002-2-2-222-22-1-22-22111-1-1-1100001-1-11−333−33−3−33000000000000
χ4544-444-4-4-4-20000-22-2-2222000000000000000000000000000044-444-4-4-4-20000-22-2-2222000000000000000000000000000044-444-4-4-4-20000-22-2-22220000000000000000000000000000
χ4644-4-4-4-444-20000-2222-22-2000000000000000000000000000044-4-4-4-444-20000-2222-22-2000000000000000000000000000044-4-4-4-444-20000-2222-22-20000000000000000000000000000
χ474-444-4-4-44-200002-2-22-22200000000000000000000000000004-444-4-4-44-200002-2-22-22200000000000000000000000000004-444-4-4-44-200002-2-22-2220000000000000000000000000000
χ484-44-44-44-4-200002-22-222-200000000000000000000000000004-44-44-44-4-200002-22-222-200000000000000000000000000004-44-44-44-4-200002-22-222-20000000000000000000000000000
χ49111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ50111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ5111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ5211111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1
χ53111-1-11-1-111-1-1111-1-1-11-1ii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i111-1-11-1-111-1-1111-1-1-11-1ii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i-1-1-111-111-1-111-1-1-1111-11−i−iii-1-111−i−i−i−iiiii-1-1-1-11111−i−iii
χ54111-1-11-1-111-1-1111-1-1-11-1ii−i−i11-1-1iiii−i−i−i−i-1-1-1-11111−i−iii111-1-11-1-111-1-1111-1-1-11-1ii−i−i11-1-1iiii−i−i−i−i-1-1-1-11111−i−iii-1-1-111-111-1-111-1-1-1111-11−i−iii-1-111−i−i−i−iiiii1111-1-1-1-1ii−i−i
χ55111-1-11-1-111-1-1111-1-1-11-1−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii111-1-11-1-111-1-1111-1-1-11-1−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii-1-1-111-111-1-111-1-1-1111-11ii−i−i-1-111iiii−i−i−i−i-1-1-1-11111ii−i−i
χ56111-1-11-1-111-1-1111-1-1-11-1−i−iii11-1-1−i−i−i−iiiii-1-1-1-11111ii−i−i111-1-11-1-111-1-1111-1-1-11-1−i−iii11-1-1−i−i−i−iiiii-1-1-1-11111ii−i−i-1-1-111-111-1-111-1-1-1111-11ii−i−i-1-111iiii−i−i−i−i1111-1-1-1-1−i−iii
χ571-1-11-111-1111-1-1-1-11-1-1111-11-11-11-111-1-111-1-1ii−i−iii−i−ii−ii−i1-1-11-111-1111-1-1-1-11-1-1111-11-11-11-111-1-111-1-1ii−i−iii−i−ii−ii−i-111-11-1-11-1-1-11111-111-1-1-11-11-11-11-1-111-1-111−i−iii−i−iii−ii−ii
χ581-1-11-111-1111-1-1-1-11-1-1111-11-11-11-111-1-111-1-1−i−iii−i−iii−ii−ii1-1-11-111-1111-1-1-1-11-1-1111-11-11-11-111-1-111-1-1−i−iii−i−iii−ii−ii-111-11-1-11-1-1-11111-111-1-1-11-11-11-11-1-111-1-111ii−i−iii−i−ii−ii−i
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χ1324-4-44-444-4-244-4-422-222-2-24-44-4-22-22-2-222-2-222000000000000-222-22-2-221-2-222-1-11-1-111-22-221-11-111-1-111-1-1000000000000000000000000000000000000000000000000000000000000
χ1334-4-44-444-4-244-4-422-222-2-2-44-44-22-2222-2-222-2-2000000000000-222-22-2-221-2-222-1-11-1-1112-22-21-11-1-1-111-1-111000000000000000000000000000000000000000000000000000000000000
χ1344-4-44-444-4-2-4-44422-222-2-200002-22-2−2i32i32i3−2i3−2i32i32i3−2i3000000000000-222-22-2-22122-2-2-1-11-1-1110000-11-11i3−i3−i3i3i3−i3−i3i3000000000000000000000000000000000000000000000000000000000000
χ1354-4-44-444-4-2-4-44422-222-2-200002-22-22i3−2i3−2i32i32i3−2i3−2i32i3000000000000-222-22-2-22122-2-2-1-11-1-1110000-11-11−i3i3i3−i3−i3i3i3−i3000000000000000000000000000000000000000000000000000000000000
χ1364-4-4-444-444-44-44-4-4-4444-40000-444-400000000000000000000-2222-2-22-2-22-22-2222-2-2-2200002-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1374-4-4-444-44-24-44-4222-2-2-224i−4i−4i4i-222-2−2i−2i2i2i2i2i−2i−2i000000000000-2222-2-22-21-22-22-1-1-1111-1−2i2i2i−2i1-1-11ii−i−i−i−iii000000000000000000000000000000000000000000000000000000000000
χ1384-4-4-444-44-24-44-4222-2-2-22−4i4i4i−4i-222-22i2i−2i−2i−2i−2i2i2i000000000000-2222-2-22-21-22-22-1-1-1111-12i−2i−2i2i1-1-11−i−iiiii−i−i000000000000000000000000000000000000000000000000000000000000
χ1394-4-4-444-44-2-44-44222-2-2-2200002-2-2223−23−2323−232323−23000000000000-2222-2-22-212-22-2-1-1-1111-10000-111-1−333−33−3−33000000000000000000000000000000000000000000000000000000000000
χ1404-4-4-444-44-2-44-44222-2-2-2200002-2-22−232323−2323−23−2323000000000000-2222-2-22-212-22-2-1-1-1111-10000-111-13−3−33−333−3000000000000000000000000000000000000000000000000000000000000
χ14188-888-8-8-8-40000-44-4-44440000000000000000000000000000-4-44-4-4444200002-222-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ14288-8-8-8-888-40000-4444-44-40000000000000000000000000000-4-44444-4-4200002-2-2-22-220000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-888-8-8-88-400004-4-44-4440000000000000000000000000000-44-4-4444-420000-222-22-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-88-88-88-8-400004-44-444-40000000000000000000000000000-44-44-44-4420000-22-22-2-220000000000000000000000000000000000000000000000000000000000000000000000000000

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