Finite Group Databasebeta

← Group #11861019

Character table — Group #11861019

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11112222222222222244444444444444444444444444449999121212121212121218181818181824242424242424241111222222222222224444444444444444444444444444999912121212121212121818181818182424242424242424
order1244233444446612121212366666121212121212121212121212121212121212121212128888224488888888886612122424242422442664444466121212126666661212121212121212121212121212121212121212121288882244888888888866121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-11-11-111-1-1-1-1-1-1-1-11-11-111-1-11111111111111111111111111111111111111111111111-1-1-1-11-11-111-1-1-1-1-1-1-1-11-11-111-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-11-11-1-111-1-1-1-1-1-1-11-11-1-1111111111111111111111111111111111111111111111111-1-1-1-1-11-11-1-111-1-1-1-1-1-1-11-11-1-111
χ51111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-11111-1-1-1-11-11-1-1-1111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-11111-1-1-1-11-11-1-1-111
χ61111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1111-1-111-1-1-1-1-11-1111-1-11111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1111-1-111-1-1-1-1-11-1111-1-1
χ71111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ81111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111
χ911-1-1-111ii−i−i111-1-1-1-11-1-11-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−i11-1-1i−ii−ii−i11-1-111-1-1i−ii−i11-1-1-111ii−i−i111-1-1-1-11-1-11-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−i11-1-1i−ii−ii−i11-1-111-1-1i−ii−i
χ1011-1-1-111ii−i−i111-1-1-1-11-1-11-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−i-1-111−ii−iii−i11-1-1-1-111−ii−ii11-1-1-111ii−i−i111-1-1-1-11-1-11-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−i-1-111−ii−iii−i11-1-1-1-111−ii−ii
χ1111-1-1-111ii−i−i111-1-1-1-11-1-11-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iii1-1-11i−i−ii−ii-1-1111-1-11i−i−ii11-1-1-111ii−i−i111-1-1-1-11-1-11-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iii1-1-11i−i−ii−ii-1-1111-1-11i−i−ii
χ1211-1-1-111ii−i−i111-1-1-1-11-1-11-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iii-111-1−iii−i−ii-1-111-111-1−iii−i11-1-1-111ii−i−i111-1-1-1-11-1-11-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iii-111-1−iii−i−ii-1-111-111-1−iii−i
χ1311-1-1-111−i−iii111-1-1-1-11-1-11-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−i1-1-11−iii−ii−i-1-1111-1-11−iii−i11-1-1-111−i−iii111-1-1-1-11-1-11-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−i1-1-11−iii−ii−i-1-1111-1-11−iii−i
χ1411-1-1-111−i−iii111-1-1-1-11-1-11-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−i-111-1i−i−iii−i-1-111-111-1i−i−ii11-1-1-111−i−iii111-1-1-1-11-1-11-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−i-111-1i−i−iii−i-1-111-111-1i−i−ii
χ1511-1-1-111−i−iii111-1-1-1-11-1-11-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii11-1-1−ii−ii−ii11-1-111-1-1−ii−ii11-1-1-111−i−iii111-1-1-1-11-1-11-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii11-1-1−ii−ii−ii11-1-111-1-1−ii−ii
χ1611-1-1-111−i−iii111-1-1-1-11-1-11-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii-1-111i−ii−i−ii11-1-1-1-111i−ii−i11-1-1-111−i−iii111-1-1-1-11-1-11-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii-1-111i−ii−i−ii11-1-1-1-111i−ii−i
χ17222222-1222222-122-1-1-12-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000020200220000000-10-100-1-1222222-1222222-122-1-1-12-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000020200220000000-10-100-1-1
χ18222222-1222222-122-1-1-12-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000-20-200-2-200000001010011222222-1222222-122-1-1-12-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000-20-200-2-200000001010011
χ19222222-1-2-2-2-222-122-1-1-12-1-1-1-12-1-1-1-1-1-2-2111111-2-21111110000020200-2-20000000-10-10011222222-1-2-2-2-222-122-1-1-12-1-1-1-12-1-1-1-1-1-2-2111111-2-21111110000020200-2-20000000-10-10011
χ20222222-1-2-2-2-222-122-1-1-12-1-1-1-12-1-1-1-1-1-2-2111111-2-211111100000-20-20022000000010100-1-1222222-1-2-2-2-222-122-1-1-12-1-1-1-12-1-1-1-1-1-2-2111111-2-211111100000-20-20022000000010100-1-1
χ2122222-1222222-12-1-122-1-12-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000020202200000000-10-10-1-10022222-1222222-12-1-122-1-12-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000020202200000000-10-10-1-100
χ2222222-1222222-12-1-122-1-12-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-20-20-2-2000000001010110022222-1222222-12-1-122-1-12-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-20-20-2-20000000010101100
χ2322222-12-2-2-2-22-12-1-122-1-12-1-1-1-12-1-1-1-111-2-2111111-2-2111100002020-2-200000000-10-10110022222-12-2-2-2-22-12-1-122-1-12-1-1-1-12-1-1-1-111-2-2111111-2-2111100002020-2-200000000-10-101100
χ2422222-12-2-2-2-22-12-1-122-1-12-1-1-1-12-1-1-1-111-2-2111111-2-211110000-20-2022000000001010-1-10022222-12-2-2-2-22-12-1-122-1-12-1-1-1-12-1-1-1-111-2-2111111-2-211110000-20-2022000000001010-1-100
χ252222-2220000-22222222-2-22-2-2-2-2-2-2220000000000000000222200000000-2-20000000000002222-2220000-22222222-2-22-2-2-2-2-2-2220000000000000000222200000000-2-2000000000000
χ262222-2220000-22222222-2-22-2-2-2-2-2-2220000000000000000-2-2-2-200000000220000000000002222-2220000-22222222-2-22-2-2-2-2-2-2220000000000000000-2-2-2-20000000022000000000000
χ2722-2-22220000-222-2-2-2-2222222-2-2-2-2-2-200000000000000002i2i−2i−2i00000000−2i2i00000000000022-2-22220000-222-2-2-2-2222222-2-2-2-2-2-200000000000000002i2i−2i−2i00000000−2i2i000000000000
χ2822-2-22220000-222-2-2-2-2222222-2-2-2-2-2-20000000000000000−2i−2i2i2i000000002i−2i00000000000022-2-22220000-222-2-2-2-2222222-2-2-2-2-2-20000000000000000−2i−2i2i2i000000002i−2i000000000000
χ2922-2-2-22-12i2i−2i−2i22-1-2-211-1-21-1112-1-1-1112i2i−i−i−i−i−i−i−2i−2iiiiiii0000020-2002i−2i0000000-10100−ii22-2-2-22-12i2i−2i−2i22-1-2-211-1-21-1112-1-1-1112i2i−i−i−i−i−i−i−2i−2iiiiiii0000020-2002i−2i0000000-10100−ii
χ3022-2-2-22-12i2i−2i−2i22-1-2-211-1-21-1112-1-1-1112i2i−i−i−i−i−i−i−2i−2iiiiiii00000-20200−2i2i000000010-100i−i22-2-2-22-12i2i−2i−2i22-1-2-211-1-21-1112-1-1-1112i2i−i−i−i−i−i−i−2i−2iiiiiii00000-20200−2i2i000000010-100i−i
χ3122-2-2-22-1−2i−2i2i2i22-1-2-211-1-21-1112-1-1-111−2i−2iiiiiii2i2i−i−i−i−i−i−i0000020-200−2i2i0000000-10100i−i22-2-2-22-1−2i−2i2i2i22-1-2-211-1-21-1112-1-1-111−2i−2iiiiiii2i2i−i−i−i−i−i−i0000020-200−2i2i0000000-10100i−i
χ3222-2-2-22-1−2i−2i2i2i22-1-2-211-1-21-1112-1-1-111−2i−2iiiiiii2i2i−i−i−i−i−i−i00000-202002i−2i000000010-100−ii22-2-2-22-1−2i−2i2i2i22-1-2-211-1-21-1112-1-1-111−2i−2iiiiiii2i2i−i−i−i−i−i−i00000-202002i−2i000000010-100−ii
χ3322-2-2-2-122i2i−2i−2i2-1211-2-2-11-2-111-12-1-111−i−i2i2i−i−i−i−iii−2i−2iiiii000020-202i−2i00000000-1010−ii0022-2-2-2-122i2i−2i−2i2-1211-2-2-11-2-111-12-1-111−i−i2i2i−i−i−i−iii−2i−2iiiii000020-202i−2i00000000-1010−ii00
χ3422-2-2-2-122i2i−2i−2i2-1211-2-2-11-2-111-12-1-111−i−i2i2i−i−i−i−iii−2i−2iiiii0000-2020−2i2i0000000010-10i−i0022-2-2-2-122i2i−2i−2i2-1211-2-2-11-2-111-12-1-111−i−i2i2i−i−i−i−iii−2i−2iiiii0000-2020−2i2i0000000010-10i−i00
χ3522-2-2-2-12−2i−2i2i2i2-1211-2-2-11-2-111-12-1-111ii−2i−2iiiii−i−i2i2i−i−i−i−i000020-20−2i2i00000000-1010i−i0022-2-2-2-12−2i−2i2i2i2-1211-2-2-11-2-111-12-1-111ii−2i−2iiiii−i−i2i2i−i−i−i−i000020-20−2i2i00000000-1010i−i00
χ3622-2-2-2-12−2i−2i2i2i2-1211-2-2-11-2-111-12-1-111ii−2i−2iiiii−i−i2i2i−i−i−i−i0000-20202i−2i0000000010-10−ii0022-2-2-2-12−2i−2i2i2i2-1211-2-2-11-2-111-12-1-111ii−2i−2iiiii−i−i2i2i−i−i−i−i0000-20202i−2i0000000010-10−ii00
χ372-22i−2i0221+i−1−i1−i−1+i0-2-22i−2i2i−2i200-20000002i−2i1+i−1−i1+i−1−i1+i1+i−1−i−1−i1−i−1+i1−i−1+i1−i1−i−1+i−1+i2ζ−2ζ2ζ3−2ζ300000000002−2i2−i2000000002-22i−2i0221+i−1−i1−i−1+i0-2-22i−2i2i−2i200-20000002i−2i1+i−1−i1+i−1−i1+i1+i−1−i−1−i1−i−1+i1−i−1+i1−i1−i−1+i−1+i2ζ−2ζ2ζ3−2ζ300000000002−2i2−i200000000
χ382-22i−2i0221+i−1−i1−i−1+i0-2-22i−2i2i−2i200-20000002i−2i1+i−1−i1+i−1−i1+i1+i−1−i−1−i1−i−1+i1−i−1+i1−i1−i−1+i−1+i−2ζ2ζ−2ζ32ζ30000000000−22−i2i2000000002-22i−2i0221+i−1−i1−i−1+i0-2-22i−2i2i−2i200-20000002i−2i1+i−1−i1+i−1−i1+i1+i−1−i−1−i1−i−1+i1−i−1+i1−i1−i−1+i−1+i−2ζ2ζ−2ζ32ζ30000000000−22−i2i200000000
χ392-22i−2i022−1−i1+i−1+i1−i0-2-22i−2i2i−2i200-20000002i−2i−1−i1+i−1−i1+i−1−i−1−i1+i1+i−1+i1−i−1+i1−i−1+i−1+i1−i1−i2ζ−2ζ2ζ3−2ζ30000000000−22−i2i2000000002-22i−2i022−1−i1+i−1+i1−i0-2-22i−2i2i−2i200-20000002i−2i−1−i1+i−1−i1+i−1−i−1−i1+i1+i−1+i1−i−1+i1−i−1+i−1+i1−i1−i2ζ−2ζ2ζ3−2ζ30000000000−22−i2i200000000
χ402-22i−2i022−1−i1+i−1+i1−i0-2-22i−2i2i−2i200-20000002i−2i−1−i1+i−1−i1+i−1−i−1−i1+i1+i−1+i1−i−1+i1−i−1+i−1+i1−i1−i−2ζ2ζ−2ζ32ζ300000000002−2i2−i2000000002-22i−2i022−1−i1+i−1+i1−i0-2-22i−2i2i−2i200-20000002i−2i−1−i1+i−1−i1+i−1−i−1−i1+i1+i−1+i1−i−1+i1−i−1+i−1+i1−i1−i−2ζ2ζ−2ζ32ζ300000000002−2i2−i200000000
χ412-2−2i2i0221−i−1+i1+i−1−i0-2-2−2i2i−2i2i200-2000000−2i2i1−i−1+i1−i−1+i1−i1−i−1+i−1+i1+i−1−i1+i−1−i1+i1+i−1−i−1−i2ζ3−2ζ32ζ−2ζ0000000000−22i2−i2000000002-2−2i2i0221−i−1+i1+i−1−i0-2-2−2i2i−2i2i200-2000000−2i2i1−i−1+i1−i−1+i1−i1−i−1+i−1+i1+i−1−i1+i−1−i1+i1+i−1−i−1−i2ζ3−2ζ32ζ−2ζ0000000000−22i2−i200000000
χ422-2−2i2i0221−i−1+i1+i−1−i0-2-2−2i2i−2i2i200-2000000−2i2i1−i−1+i1−i−1+i1−i1−i−1+i−1+i1+i−1−i1+i−1−i1+i1+i−1−i−1−i−2ζ32ζ3−2ζ2ζ00000000002−2−i2i2000000002-2−2i2i0221−i−1+i1+i−1−i0-2-2−2i2i−2i2i200-2000000−2i2i1−i−1+i1−i−1+i1−i1−i−1+i−1+i1+i−1−i1+i−1−i1+i1+i−1−i−1−i−2ζ32ζ3−2ζ2ζ00000000002−2−i2i200000000
χ432-2−2i2i022−1+i1−i−1−i1+i0-2-2−2i2i−2i2i200-2000000−2i2i−1+i1−i−1+i1−i−1+i−1+i1−i1−i−1−i1+i−1−i1+i−1−i−1−i1+i1+i2ζ3−2ζ32ζ−2ζ00000000002−2−i2i2000000002-2−2i2i022−1+i1−i−1−i1+i0-2-2−2i2i−2i2i200-2000000−2i2i−1+i1−i−1+i1−i−1+i−1+i1−i1−i−1−i1+i−1−i1+i−1−i−1−i1+i1+i2ζ3−2ζ32ζ−2ζ00000000002−2−i2i200000000
χ442-2−2i2i022−1+i1−i−1−i1+i0-2-2−2i2i−2i2i200-2000000−2i2i−1+i1−i−1+i1−i−1+i−1+i1−i1−i−1−i1+i−1−i1+i−1−i−1−i1+i1+i−2ζ32ζ3−2ζ2ζ0000000000−22i2−i2000000002-2−2i2i022−1+i1−i−1−i1+i0-2-2−2i2i−2i2i200-2000000−2i2i−1+i1−i−1+i1−i−1+i−1+i1−i1−i−1−i1+i−1−i1+i−1−i−1−i1+i1+i−2ζ32ζ3−2ζ2ζ0000000000−22i2−i200000000
χ4544444-2-244444-2-2-2-2-2-21-2-2111-2-21111-2-2-2-21111-2-2-2-211110000000000000000000000000044444-2-244444-2-2-2-2-2-21-2-2111-2-21111-2-2-2-21111-2-2-2-2111100000000000000000000000000
χ4644444-2-2-4-4-4-44-2-2-2-2-2-21-2-2111-2-211112222-1-1-1-12222-1-1-1-10000000000000000000000000044444-2-2-4-4-4-44-2-2-2-2-2-21-2-2111-2-211112222-1-1-1-12222-1-1-1-100000000000000000000000000
χ474444-44-20000-44-244-2-2-2-42-222-4222-2-20000000000000000000000000000000000000000004444-44-20000-44-244-2-2-2-42-222-4222-2-2000000000000000000000000000000000000000000
χ484444-4-240000-4-24-2-244-22-4-2222-422-2-20000000000000000000000000000000000000000004444-4-240000-4-24-2-244-22-4-2222-422-2-2000000000000000000000000000000000000000000
χ494444-4-2-20000-4-2-2-2-2-2-21221-1-122-1-11100003i−3i3i−3i00003i−3i3i−3i000000000000000000000000004444-4-2-20000-4-2-2-2-2-2-21221-1-122-1-11100003i−3i3i−3i00003i−3i3i−3i00000000000000000000000000
χ504444-4-2-20000-4-2-2-2-2-2-21221-1-122-1-1110000−3i3i−3i3i0000−3i3i−3i3i000000000000000000000000004444-4-2-20000-4-2-2-2-2-2-21221-1-122-1-1110000−3i3i−3i3i0000−3i3i−3i3i00000000000000000000000000
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χ1434-4−4i4i0-2-2−2+2i2−2i−2−2i2+2i0222i−2i2i−2i100-13-300−3i3i−ii1−i−1+i1−i−1+i−2−i1+2i2+i−1−2i1+i−1−i1+i−1−i1−2i−2+i−1+2i2−i00000000000000000000000000-444i−4i0222−2i−2+2i2+2i−2−2i0-2-2−2i2i−2i2i-1001-33003i−3ii−i−1+i1−i−1+i1−i2+i−1−2i−2−i1+2i−1−i1+i−1−i1+i−1+2i2−i1−2i−2+i00000000000000000000000000
χ1444-4−4i4i0-2-2−2+2i2−2i−2−2i2+2i0222i−2i2i−2i100-1-33003i−3i−ii1−i−1+i1−i−1+i1+2i−2−i−1−2i2+i1+i−1−i1+i−1−i−2+i1−2i2−i−1+2i00000000000000000000000000-444i−4i0222−2i−2+2i2+2i−2−2i0-2-2−2i2i−2i2i-10013-300−3i3ii−i−1+i1−i−1+i1−i−1−2i2+i1+2i−2−i−1−i1+i−1−i1+i2−i−1+2i−2+i1−2i00000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.