Finite Group Databasebeta

← Group #11784469

Character table — Group #11784469

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11111111222222222222222222222222222244444444444444444444444444444444444444444444444444444444999999991212121212121212121212121212121218181818181818181818181824242424242424242424242424242424
order1222222233444466666666666666888888883666666612121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242444444444444444444444444444448888888812121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ911-11-1-11-1111-1-1111-1-1-1-1-1-11111-1-1iiii−i−i−i−i111-1-1-1-111111-1-11111-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−i11-1-1ii−i−iii−i−i11-1-1ii−i−i1111-1-1-1-111-1-1ii−i−iii−i−i11-1-1
χ1011-11-1-11-1111-1-1111-1-1-1-1-1-11111-1-1iiii−i−i−i−i111-1-1-1-111111-1-11111-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−i-1-111−i−iii−i−iii-1-111ii−i−i1111-1-1-1-1-1-111−i−iii−i−iii-1-111
χ1111-11-1-11-1111-1-1111-1-1-1-1-1-11111-1-1iiii−i−i−i−i111-1-1-1-111111-1-11111-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii11-1-1ii−i−i−i−iii-1-111−i−iii-1-1-1-1111111-1-1ii−i−i−i−iii-1-111
χ1211-11-1-11-1111-1-1111-1-1-1-1-1-11111-1-1iiii−i−i−i−i111-1-1-1-111111-1-11111-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-111−i−iiiii−i−i11-1-1−i−iii-1-1-1-11111-1-111−i−iiiii−i−i11-1-1
χ1311-11-1-11-1111-1-1111-1-1-1-1-1-11111-1-1−i−i−i−iiiii111-1-1-1-111111-1-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i11-1-1−i−iiiii−i−i-1-111ii−i−i-1-1-1-1111111-1-1−i−iiiii−i−i-1-111
χ1411-11-1-11-1111-1-1111-1-1-1-1-1-11111-1-1−i−i−i−iiiii111-1-1-1-111111-1-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i-1-111ii−i−i−i−iii11-1-1ii−i−i-1-1-1-11111-1-111ii−i−i−i−iii11-1-1
χ1511-11-1-11-1111-1-1111-1-1-1-1-1-11111-1-1−i−i−i−iiiii111-1-1-1-111111-1-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−iiiii11-1-1−i−iii−i−iii11-1-1−i−iii1111-1-1-1-111-1-1−i−iii−i−iii11-1-1
χ1611-11-1-11-1111-1-1111-1-1-1-1-1-11111-1-1−i−i−i−iiiii111-1-1-1-111111-1-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−iiiii-1-111ii−i−iii−i−i-1-111−i−iii1111-1-1-1-1-1-111ii−i−iii−i−i-1-111
χ171-111-1-1-1111-11-11-1-111-1-1-1-111-1-111ii−i−iii−i−i1-1-111-1-1111-1-11111-1-111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iii−i−iii−i−ii−ii−i1-11-11-11-1i−ii−ii−ii−i11-1-111-1-1i−ii−i1-11-11-11-1i−ii−i
χ181-111-1-1-1111-11-11-1-111-1-1-1-111-1-111ii−i−iii−i−i1-1-111-1-1111-1-11111-1-111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iii−i−iii−i−i−ii−ii-11-11-11-11−ii−iii−ii−i11-1-111-1-1−ii−ii-11-11-11-11−ii−ii
χ191-111-1-1-1111-11-11-1-111-1-1-1-111-1-111ii−i−iii−i−i1-1-111-1-1111-1-11111-1-111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−iii−i−iiii−ii−i1-11-1-11-11−ii−ii−ii−ii-1-111-1-111i−ii−i1-11-1-11-11−ii−ii
χ201-111-1-1-1111-11-11-1-111-1-1-1-111-1-111ii−i−iii−i−i1-1-111-1-1111-1-11111-1-111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−iii−i−iii−ii−ii-11-111-11-1i−ii−i−ii−ii-1-111-1-111−ii−ii-11-111-11-1i−ii−i
χ211-111-1-1-1111-11-11-1-111-1-1-1-111-1-111−i−iii−i−iii1-1-111-1-1111-1-11111-1-111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiiiii−i−iii−i−ii−ii−i-11-111-11-1−ii−iii−ii−i-1-111-1-111i−ii−i-11-111-11-1−ii−ii
χ221-111-1-1-1111-11-11-1-111-1-1-1-111-1-111−i−iii−i−iii1-1-111-1-1111-1-11111-1-111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiiiii−i−iii−i−i−ii−ii1-11-1-11-11i−ii−ii−ii−i-1-111-1-111−ii−ii1-11-1-11-11i−ii−i
χ231-111-1-1-1111-11-11-1-111-1-1-1-111-1-111−i−iii−i−iii1-1-111-1-1111-1-11111-1-111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−iii−i−iiii−ii−i-11-11-11-11i−ii−i−ii−ii11-1-111-1-1i−ii−i-11-11-11-11i−ii−i
χ241-111-1-1-1111-11-11-1-111-1-1-1-111-1-111−i−iii−i−iii1-1-111-1-1111-1-11111-1-111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−iii−i−iii−ii−ii1-11-11-11-1−ii−ii−ii−ii11-1-111-1-1−ii−ii1-11-11-11-1−ii−ii
χ251-1-1111-1-111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1111-1-1-1-111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111i−i−ii−iii−i−iii−ii−i−ii1-1-1111-1-1-1-111i−i−ii−iii−i−iii−ii−i−ii
χ261-1-1111-1-111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1111-1-1-1-111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111−iii−ii−i−iii−i−ii−iii−i1-1-1111-1-1-1-111−iii−ii−i−iii−i−ii−iii−i
χ271-1-1111-1-111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1111-1-1-1-111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1i−i−ii−iii−ii−i−ii−iii−i-111-1-1-11111-1-1i−i−ii−iii−ii−i−ii−iii−i
χ281-1-1111-1-111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1111-1-1-1-111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1−iii−ii−i−ii−iii−ii−i−ii-111-1-1-11111-1-1−iii−ii−i−ii−iii−ii−i−ii
χ291-1-1111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-11-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111i−i−iii−i−ii−iii−i−iii−i1-1-11-1-11111-1-1i−i−iii−i−ii−iii−i−iii−i
χ301-1-1111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-11-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111−iii−i−iii−ii−i−iii−i−ii1-1-11-1-11111-1-1−iii−i−iii−ii−i−iii−i−ii
χ311-1-1111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-11-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1i−i−iii−i−iii−i−iii−i−ii-111-111-1-1-1-111i−i−iii−i−iii−i−iii−i−ii
χ321-1-1111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-11-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1−iii−i−iii−i−iii−i−iii−i-111-111-1-1-1-111−iii−i−iii−i−iii−i−iii−i
χ332222222222-2-2-2-2222222222222220000000022222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000222222220000000000000000-2-2-2-2000000000000000000000000
χ342222222222-2-2-2-2222222222222220000000022222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2-2-2-2-2-2-200000000000000002222000000000000000000000000
χ35222222222-122222-12-122-1-12-12-12-122222222-1-1-1-1-1-1-1-12-12-12-1-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000000000002222222200000000000000000000-1-1-1-1-1-1-1-1
χ36222222222-122222-12-122-1-12-12-12-122222222-1-1-1-1-1-1-1-12-12-12-1-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000000000000-2-2-2-2-2-2-2-20000000000000000000011111111
χ37222222222-122222-12-122-1-12-12-12-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-12-12-12-1-1-1-1-1-1-12-1-1-1-2-2111111-2-2111111-2-2111111-2-211111100000000000000002222-2-2-2-200000000000000000000-1-1-1-11111
χ38222222222-122222-12-122-1-12-12-12-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-12-12-12-1-1-1-1-1-1-12-1-1-1-2-2111111-2-2111111-2-2111111-2-21111110000000000000000-2-2-2-22222000000000000000000001111-1-1-1-1
χ3922222222-122222-12-12-1-122-12-12-1222222222-1-1-1-1-1-1-1-1-12-12-12-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000002222222200000000000000000000-1-1-1-1-1-1-1-100000000
χ4022222222-122222-12-12-1-122-12-12-1222222222-1-1-1-1-1-1-1-1-12-12-12-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100000000-2-2-2-2-2-2-2-2000000000000000000001111111100000000
χ4122222222-122222-12-12-1-122-12-12-12-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-12-12-12-1-1-1-1-1-1-12-1-111-2-2111111-2-2111111-2-2111111-2-21111000000002222-2-2-2-200000000000000000000-1-1-1-1111100000000
χ4222222222-122222-12-12-1-122-12-12-12-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-12-12-12-1-1-1-1-1-1-12-1-111-2-2111111-2-2111111-2-2111111-2-2111100000000-2-2-2-22222000000000000000000001111-1-1-1-100000000
χ43222-22-2-2-222000022222-22-2-2-2-2-2-2-22−22−22−22−222-22-22-2-200000000000000002−22−222−2−22−22−222−2−22−22−222−2−22−22−222−2−22-22-22-22-2000000000000000000002−22−22−22−20000000000000000
χ44222-22-2-2-222000022222-22-2-2-2-2-2-2-22−22−22−22−222-22-22-2-200000000000000002−22−222−2−22−22−222−2−22−22−222−2−22−22−222−2−2-22-22-22-2200000000000000000000−22−22−22−220000000000000000
χ45222-22-2-2-222000022222-22-2-2-2-2-2-2-2−22−22−22−2222-22-22-2-20000000000000000−22−22−2−222−22−22−2−222−22−22−2−222−22−22−2−2222-22-22-22-200000000000000000000−22−22−22−220000000000000000
χ46222-22-2-2-222000022222-22-2-2-2-2-2-2-2−22−22−22−2222-22-22-2-20000000000000000−22−22−2−222−22−22−2−222−22−22−2−222−22−22−2−222-22-22-22-22000000000000000000002−22−22−22−20000000000000000
χ4722-22-2-22-222-222-222-2-2-2-2-2-22222-2-200000000222-2-2-2-22-2-2-2-222-2-2-2-2222222000000000000000000000000000000002i2i2i2i−2i−2i−2i−2i0000000000000000−2i−2i2i2i000000000000000000000000
χ4822-22-2-22-222-222-222-2-2-2-2-2-22222-2-200000000222-2-2-2-22-2-2-2-222-2-2-2-222222200000000000000000000000000000000−2i−2i−2i−2i2i2i2i2i00000000000000002i2i−2i−2i000000000000000000000000
χ4922-22-2-22-22-12-2-222-1-21-2-2112-12-1-212i2i2i2i−2i−2i−2i−2i-1-1-11111-12-12-1-21-1-1-1-111-21112i2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i−2i−2iiiiiii−2i−2iiiiiii00000000000000002i2i−2i−2i22-2-200000000000000000000−i−iii-1-111
χ5022-22-2-22-22-12-2-222-1-21-2-2112-12-1-212i2i2i2i−2i−2i−2i−2i-1-1-11111-12-12-1-21-1-1-1-111-21112i2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i−2i−2iiiiiii−2i−2iiiiiii0000000000000000−2i−2i2i2i-2-22200000000000000000000ii−i−i11-1-1
χ5122-22-2-22-22-12-2-222-1-21-2-2112-12-1-21−2i−2i−2i−2i2i2i2i2i-1-1-11111-12-12-1-21-1-1-1-111-2111−2i−2iiiiiii−2i−2iiiiiii2i2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i00000000000000002i2i−2i−2i-2-22200000000000000000000−i−iii11-1-1
χ5222-22-2-22-22-12-2-222-1-21-2-2112-12-1-21−2i−2i−2i−2i2i2i2i2i-1-1-11111-12-12-1-21-1-1-1-111-2111−2i−2iiiiiii−2i−2iiiiiii2i2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i0000000000000000−2i−2i2i2i22-2-200000000000000000000ii−i−i-1-111
χ5322-22-2-22-2-122-2-22-121-211-2-2-12-121-22i2i2i2i−2i−2i−2i−2i-1-1-11111-1-12-121-2-1-1-1-1111-211−i−i2i2i−i−i−i−i−i−i2i2i−i−i−i−iii−2i−2iiiiiii−2i−2iiiii0000000022-2-22i2i−2i−2i00000000000000000000-1-111−i−iii00000000
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Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.