Finite Group Databasebeta

← Group #11784045

Character table — Group #11784045

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size11111111222222222222222222224444444444444444444444444444444444444444444444444444444444441212121212121212121212121212121218181818181818182424242424242424242424242424242436363636
order1222222233444466666666666666366666668888121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424444444444444444444444444121212121212121212121212121212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ8111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ911-11-11-1-1111-11-1111-1-1-1-1-1-111-1-11111-1-1-1-1111-1-11-1-11-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1ii−i−i11-1-1ii−i−iii−i−iii−i−i11-1-1ii−i−iii−i−i11-1-1ii−i−i
χ1011-11-11-1-1111-11-1111-1-1-1-1-1-111-1-11111-1-1-1-1111-1-11-1-11-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−iii11-1-1−i−iii−i−iii−i−iii11-1-1−i−iii−i−iii11-1-1−i−iii
χ1111-11-11-1-1111-11-1111-1-1-1-1-1-111-1-11111-1-1-1-1111-1-11-1-11-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i-1-111ii−i−i−i−iii−i−iii-1-111ii−i−iii−i−i-1-111−i−iii
χ1211-11-11-1-1111-11-1111-1-1-1-1-1-111-1-11111-1-1-1-1111-1-11-1-11-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iii-1-111−i−iiiii−i−iii−i−i-1-111−i−iii−i−iii-1-111ii−i−i
χ1311-11-11-1-1111-11-1111-1-1-1-1-1-111-1-11111-1-1-1-11-1-1111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1ii−i−i-1-111−i−iiiii−i−iii−i−i11-1-1ii−i−i−i−iii-1-111−i−iii
χ1411-11-11-1-1111-11-1111-1-1-1-1-1-111-1-11111-1-1-1-11-1-1111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1−i−iii-1-111ii−i−i−i−iii−i−iii11-1-1−i−iiiii−i−i-1-111ii−i−i
χ1511-11-11-1-1111-11-1111-1-1-1-1-1-111-1-11111-1-1-1-11-1-1111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111ii−i−i11-1-1−i−iii−i−iii−i−iii-1-111ii−i−i−i−iii11-1-1ii−i−i
χ1611-11-11-1-1111-11-1111-1-1-1-1-1-111-1-11111-1-1-1-11-1-1111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111−i−iii11-1-1ii−i−iii−i−iii−i−i-1-111−i−iiiii−i−i11-1-1−i−iii
χ171-11-111-1-1111-1-11-1-1-1111-1-1-11-11-111-1-111-1-11i−ii−i11-111-11111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−ii−ii−i1-11-11-11-1i−ii−ii−ii−ii−ii−ii−ii−i1-11-1i−ii−i1-11-11-11-1
χ181-11-111-1-1111-1-11-1-1-1111-1-1-11-11-111-1-111-1-11i−ii−i11-111-11111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−ii−ii−i-11-111-11-1−ii−ii−ii−ii−ii−iii−ii−i-11-11−ii−ii1-11-1-11-11
χ191-11-111-1-1111-1-11-1-1-1111-1-1-11-11-111-1-111-1-11i−ii−i11-111-11111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−ii−ii1-11-1-11-11i−ii−i−ii−ii−ii−ii−ii−ii1-11-1i−ii−i-11-11-11-11
χ201-11-111-1-1111-1-11-1-1-1111-1-1-11-11-111-1-111-1-11i−ii−i11-111-11111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−ii−ii-11-11-11-11−ii−iii−ii−ii−ii−i−ii−ii-11-11−ii−ii-11-111-11-1
χ211-11-111-1-1111-1-11-1-1-1111-1-1-11-11-111-1-111-1-11−ii−ii11-111-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiiii−ii−i1-11-1-11-11−ii−iii−ii−ii−ii−ii−ii−i1-11-1−ii−ii-11-11-11-11
χ221-11-111-1-1111-1-11-1-1-1111-1-1-11-11-111-1-111-1-11−ii−ii11-111-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiiii−ii−i-11-11-11-11i−ii−i−ii−ii−ii−iii−ii−i-11-11i−ii−i-11-111-11-1
χ231-11-111-1-1111-1-11-1-1-1111-1-1-11-11-111-1-111-1-11−ii−ii11-111-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−ii−ii1-11-11-11-1−ii−ii−ii−ii−ii−ii−ii−ii1-11-1−ii−ii1-11-11-11-1
χ241-11-111-1-1111-1-11-1-1-1111-1-1-11-11-111-1-111-1-11−ii−ii11-111-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−ii−ii-11-111-11-1i−ii−ii−ii−ii−ii−i−ii−ii-11-11i−ii−i1-11-1-11-11
χ251-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1111i−i−ii1-111-1111-1-111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiii−i−iii−i−ii1-1-11-111-1-111-1-111-1i−i−iii−i−ii-111-11-1-11i−i−ii
χ261-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1111i−i−ii1-111-1111-1-111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiii−i−ii−iii−i1-1-111-1-111-1-111-1-11i−i−ii−iii−i1-1-111-1-11−iii−i
χ271-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1111i−i−ii1-111-1111-1-111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−iii−ii−i−ii-111-1-111-11-1-111-1-11−iii−ii−i−ii-111-1-111-1−iii−i
χ281-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1111i−i−ii1-111-1111-1-111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−iii−i−iii−i-111-11-1-11-111-1-111-1−iii−i−iii−i1-1-11-111-1i−i−ii
χ291-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1111−iii−i1-111-1111-1-111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−ii−i−iii−i−ii-111-11-1-11-111-1-111-1i−i−iii−i−ii1-1-11-111-1−iii−i
χ301-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1111−iii−i1-111-1111-1-111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−ii−i−ii−iii−i-111-1-111-11-1-111-1-11i−i−ii−iii−i-111-1-111-1i−i−ii
χ311-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1111−iii−i1-111-1111-1-111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−iii−ii−i−ii1-1-111-1-111-1-111-1-11−iii−ii−i−ii1-1-111-1-11i−i−ii
χ321-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1111−iii−i1-111-1111-1-111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−iii−i−iii−i1-1-11-111-1-111-1-111-1−iii−i−iii−i-111-11-1-11−iii−i
χ332222222222-2-2-2-222222222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000002222-2-2-2-200000000000000000000
χ342222222222-2-2-2-222222222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000-2-2-2-2222200000000000000000000
χ35222222222-1222222-12-1-12-1-12-122-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222200002222000000000000-1-1-1-100000000-1-1-1-10000
χ36222222222-1222222-12-1-12-1-12-122-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-20000-2-2-2-200000000000011110000000011110000
χ37222222222-1222222-12-1-12-1-12-122-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-12-1-1-1-2-2111111-2-2111111-2-2111111-2-211111122220000-2-2-2-2000000000000-1-1-1-10000000011110000
χ38222222222-1222222-12-1-12-1-12-122-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-12-1-1-1-2-2111111-2-2111111-2-2111111-2-2111111-2-2-2-200002222000000000000111100000000-1-1-1-10000
χ3922222222-122222-1-12-122-122-12-1-12-1-1-1-1-1-1-1-12222-1-1-1222-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000222200002222000000000000-1-1-1-1-1-1-1-100000000
χ4022222222-122222-1-12-122-122-12-1-12-1-1-1-1-1-1-1-12222-1-1-1222-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-2-2-2-20000-2-2-2-20000000000001111111100000000
χ4122222222-122222-1-12-122-122-12-1-12-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1222-1-1-1-1-1-1-12-1-111-2-2111111-2-2111111-2-2111111-2-21111000022220000-2-2-2-2000000000000-1-1-1-1111100000000
χ4222222222-122222-1-12-122-122-12-1-12-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1222-1-1-1-1-1-1-12-1-111-2-2111111-2-2111111-2-2111111-2-211110000-2-2-2-2000022220000000000001111-1-1-1-100000000
χ4322-22-22-2-222-22-22222-2-2-2-2-2-222-2-22222-2-2-2-220000-222-222-2-22222-2-2-2-20000000000000000000000000000000000000000000000002i2i−2i−2i−2i−2i2i2i00000000000000000000
χ4422-22-22-2-222-22-22222-2-2-2-2-2-222-2-22222-2-2-2-220000-222-222-2-22222-2-2-2-2000000000000000000000000000000000000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000000000
χ4522-22-22-2-22-12-22-222-1-211-2112-1-2-2-1-1-1-11111-122-2-22-2-2-111-1-111112-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-211111122-2-2000022-2-2000000000000-1-11100000000-1-1110000
χ4622-22-22-2-22-12-22-222-1-211-2112-1-2-2-1-1-1-11111-122-2-22-2-2-111-1-111112-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111-2-2220000-2-22200000000000011-1-10000000011-1-10000
χ4722-22-22-2-22-12-22-222-1-211-2112-1-2-2-1-1-1-11111-1-2-2222-2-2-111-1-111112-1-1-1-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-122-2-20000-2-222000000000000-1-1110000000011-1-10000
χ4822-22-22-2-22-12-22-222-1-211-2112-1-2-2-1-1-1-11111-1-2-2222-2-2-111-1-111112-1-1-1-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1-2-222000022-2-200000000000011-1-100000000-1-1110000
χ4922-22-22-2-2-122-22-2-1-121-2-21-2-2-12112-1-1-11111-122-2-2-1112-2-2-1-11111-12-1-1-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-2111100002i2i−2i−2i00002i2i−2i−2i000000000000−i−iii−i−iii00000000
χ5022-22-22-2-2-122-22-2-1-121-2-21-2-2-12112-1-1-11111-122-2-2-1112-2-2-1-11111-12-1-1-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-211110000−2i−2i2i2i0000−2i−2i2i2i000000000000ii−i−iii−i−i00000000
χ5122-22-22-2-2-122-22-2-1-121-2-21-2-2-12112-1-1-11111-1-2-222-1112-2-2-1-11111-12-1-111-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-100002i2i−2i−2i0000−2i−2i2i2i000000000000−i−iiiii−i−i00000000
χ5222-22-22-2-2-122-22-2-1-121-2-21-2-2-12112-1-1-11111-1-2-222-1112-2-2-1-11111-12-1-111-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-10000−2i−2i2i2i00002i2i−2i−2i000000000000ii−i−i−i−iii00000000
χ532-22-222-2-222-222-2-2-2-2222-2-2-22-22-222-2-222-2-220000-2-22-2-22-2-2-2-22222220000000000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000
χ542-22-222-2-222-222-2-2-2-2222-2-2-22-22-222-2-222-2-220000-2-22-2-22-2-2-2-2222222000000000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ552-22-222-2-22-12-2-22-2-212-1-1-211212-2-1-111-1-111-12i−2i2i−2i22-2-1-11-1-1-1-111-21112i2i−i−i−i−i−i−i−2i−2iiiiiii2i2i−i−i−i−i−i−i−2i−2iiiiiii2i−2i2i−2i00002-22-2000000000000−ii−ii00000000-11-110000
χ562-22-222-2-22-12-2-22-2-212-1-1-211212-2-1-111-1-111-12i−2i2i−2i22-2-1-11-1-1-1-111-21112i2i−i−i−i−i−i−i−2i−2iiiiiii2i2i−i−i−i−i−i−i−2i−2iiiiiii−2i2i−2i2i0000-22-22000000000000i−ii−i000000001-11-10000
χ572-22-222-2-22-12-2-22-2-212-1-1-211212-2-1-111-1-111-1−2i2i−2i2i22-2-1-11-1-1-1-111-2111−2i−2iiiiiii2i2i−i−i−i−i−i−i−2i−2iiiiiii2i2i−i−i−i−i−i−i2i−2i2i−2i0000-22-22000000000000−ii−ii000000001-11-10000
χ582-22-222-2-22-12-2-22-2-212-1-1-211212-2-1-111-1-111-1−2i2i−2i2i22-2-1-11-1-1-1-111-2111−2i−2iiiiiii2i2i−i−i−i−i−i−i−2i−2iiiiiii2i2i−i−i−i−i−i−i−2i2i−2i2i00002-22-2000000000000i−ii−i00000000-11-110000
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χ1294-4-4-4-4444-2-244-4-4222222-2-2-2-222-2-21-1-1-1-11114i−4i−4i4i-22-2-22-211-1-11122-1-1−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i2i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii00000000000000000000000000000000000000000000
χ1304-4-4-4-4444-2-244-4-4222222-2-2-2-222-2-21-1-1-1-1111−4i4i4i−4i-22-2-22-211-1-11122-1-12i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i00000000000000000000000000000000000000000000
χ1314-4-4-4-4444-2-2-4-444222222-2-2-2-222-2-21-1-1-1-111100002-222-22-1-111-1-1-2-211000033-3-30000-3-3330000-3-333000033-3-300000000000000000000000000000000000000000000
χ1324-4-4-4-4444-2-2-4-444222222-2-2-2-222-2-21-1-1-1-111100002-222-22-1-111-1-1-2-2110000-3-333000033-3-3000033-3-30000-3-33300000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.