Finite Group Databasebeta

← Group #10795567

Character table — Group #10795567

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111111111111444444444444444444444444444422222222222222228888888888888888888888888888333333333333333312121212121212121212121212121212121212121212121212121212
order122222224444444444444444444488888888888888883666666612121212121212121212121212121212121212122424242424242424242424242424242422222222444444444444444444448888888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ81111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i11111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i11111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i
χ1011111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii11111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii11111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii
χ1111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii11111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii11111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii
χ1211111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i11111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i11111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i
χ1311111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii
χ1411111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i
χ1511111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i11111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i11111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ1611111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii11111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii11111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii
χ172222-2-2-2-22222-2-2-2-2000000002-22-200000000000000002222-2-2-2-22222-2-2-2-2000000002-22-200000000000000002222-2-2-2-22222-2-2-2-2000000002-22-20000000000000000
χ182222-2-2-2-22222-2-2-2-200000000-22-2200000000000000002222-2-2-2-22222-2-2-2-200000000-22-2200000000000000002222-2-2-2-22222-2-2-2-200000000-22-220000000000000000
χ192222-2-2-2-2-2-2-2-22222000000002-2-2200000000000000002222-2-2-2-2-2-2-2-22222000000002-2-2200000000000000002222-2-2-2-2-2-2-2-22222000000002-2-220000000000000000
χ202222-2-2-2-2-2-2-2-2222200000000-222-200000000000000002222-2-2-2-2-2-2-2-2222200000000-222-200000000000000002222-2-2-2-2-2-2-2-2222200000000-222-20000000000000000
χ2122-2-222-2-222-2-222-2-200002-22-20000000000000000000022-2-222-2-222-2-222-2-200002-22-20000000000000000000022-2-222-2-222-2-222-2-200002-22-200000000000000000000
χ2222-2-222-2-222-2-222-2-20000-22-220000000000000000000022-2-222-2-222-2-222-2-20000-22-220000000000000000000022-2-222-2-222-2-222-2-20000-22-2200000000000000000000
χ2322-2-222-2-2-2-222-2-22200002-2-220000000000000000000022-2-222-2-2-2-222-2-22200002-2-220000000000000000000022-2-222-2-2-2-222-2-22200002-2-2200000000000000000000
χ2422-2-222-2-2-2-222-2-2220000-222-20000000000000000000022-2-222-2-2-2-222-2-2220000-222-20000000000000000000022-2-222-2-2-2-222-2-2220000-222-200000000000000000000
χ2522-2-2-2-22222-2-2-2-2222-22-200000000000000000000000022-2-2-2-22222-2-2-2-2222-22-200000000000000000000000022-2-2-2-22222-2-2-2-2222-22-2000000000000000000000000
χ2622-2-2-2-22222-2-2-2-222-22-2200000000000000000000000022-2-2-2-22222-2-2-2-222-22-2200000000000000000000000022-2-2-2-22222-2-2-2-222-22-22000000000000000000000000
χ2722-2-2-2-222-2-22222-2-22-2-2200000000000000000000000022-2-2-2-222-2-22222-2-22-2-2200000000000000000000000022-2-2-2-222-2-22222-2-22-2-22000000000000000000000000
χ2822-2-2-2-222-2-22222-2-2-222-200000000000000000000000022-2-2-2-222-2-22222-2-2-222-200000000000000000000000022-2-2-2-222-2-22222-2-2-222-2000000000000000000000000
χ292-22-22-22-22i−2i2i−2i2i−2i2i−2i0000000000000000000000002ζ3−2ζ32ζ−2ζ2-22-22-22-22i−2i2i−2i2i−2i2i−2i0000000000000000000000002ζ3−2ζ32ζ−2ζ2-22-22-22-22i−2i2i−2i2i−2i2i−2i0000000000000000000000002ζ3−2ζ32ζ−2ζ
χ302-22-22-22-22i−2i2i−2i2i−2i2i−2i000000000000000000000000−2ζ32ζ3−2ζ2ζ2-22-22-22-22i−2i2i−2i2i−2i2i−2i000000000000000000000000−2ζ32ζ3−2ζ2ζ2-22-22-22-22i−2i2i−2i2i−2i2i−2i000000000000000000000000−2ζ32ζ3−2ζ2ζ
χ312-22-22-22-2−2i2i−2i2i−2i2i−2i2i0000000000000000000000002ζ−2ζ2ζ3−2ζ32-22-22-22-2−2i2i−2i2i−2i2i−2i2i0000000000000000000000002ζ−2ζ2ζ3−2ζ32-22-22-22-2−2i2i−2i2i−2i2i−2i2i0000000000000000000000002ζ−2ζ2ζ3−2ζ3
χ322-22-22-22-2−2i2i−2i2i−2i2i−2i2i000000000000000000000000−2ζ2ζ−2ζ32ζ32-22-22-22-2−2i2i−2i2i−2i2i−2i2i000000000000000000000000−2ζ2ζ−2ζ32ζ32-22-22-22-2−2i2i−2i2i−2i2i−2i2i000000000000000000000000−2ζ2ζ−2ζ32ζ3
χ332-22-2-22-222i−2i2i−2i−2i2i−2i2i0000000000002ζ3−2ζ32ζ−2ζ0000000000002-22-2-22-222i−2i2i−2i−2i2i−2i2i0000000000002ζ3−2ζ32ζ−2ζ0000000000002-22-2-22-222i−2i2i−2i−2i2i−2i2i0000000000002ζ3−2ζ32ζ−2ζ000000000000
χ342-22-2-22-222i−2i2i−2i−2i2i−2i2i000000000000−2ζ32ζ3−2ζ2ζ0000000000002-22-2-22-222i−2i2i−2i−2i2i−2i2i000000000000−2ζ32ζ3−2ζ2ζ0000000000002-22-2-22-222i−2i2i−2i−2i2i−2i2i000000000000−2ζ32ζ3−2ζ2ζ000000000000
χ352-22-2-22-22−2i2i−2i2i2i−2i2i−2i0000000000002ζ−2ζ2ζ3−2ζ30000000000002-22-2-22-22−2i2i−2i2i2i−2i2i−2i0000000000002ζ−2ζ2ζ3−2ζ30000000000002-22-2-22-22−2i2i−2i2i2i−2i2i−2i0000000000002ζ−2ζ2ζ3−2ζ3000000000000
χ362-22-2-22-22−2i2i−2i2i2i−2i2i−2i000000000000−2ζ2ζ−2ζ32ζ30000000000002-22-2-22-22−2i2i−2i2i2i−2i2i−2i000000000000−2ζ2ζ−2ζ32ζ30000000000002-22-2-22-22−2i2i−2i2i2i−2i2i−2i000000000000−2ζ2ζ−2ζ32ζ3000000000000
χ372-2-222-2-222i−2i−2i2i2i−2i−2i2i00000000000000002ζ−2ζ2ζ3−2ζ3000000002-2-222-2-222i−2i−2i2i2i−2i−2i2i00000000000000002ζ−2ζ2ζ3−2ζ3000000002-2-222-2-222i−2i−2i2i2i−2i−2i2i00000000000000002ζ−2ζ2ζ3−2ζ300000000
χ382-2-222-2-222i−2i−2i2i2i−2i−2i2i0000000000000000−2ζ2ζ−2ζ32ζ3000000002-2-222-2-222i−2i−2i2i2i−2i−2i2i0000000000000000−2ζ2ζ−2ζ32ζ3000000002-2-222-2-222i−2i−2i2i2i−2i−2i2i0000000000000000−2ζ2ζ−2ζ32ζ300000000
χ392-2-222-2-22−2i2i2i−2i−2i2i2i−2i00000000000000002ζ3−2ζ32ζ−2ζ000000002-2-222-2-22−2i2i2i−2i−2i2i2i−2i00000000000000002ζ3−2ζ32ζ−2ζ000000002-2-222-2-22−2i2i2i−2i−2i2i2i−2i00000000000000002ζ3−2ζ32ζ−2ζ00000000
χ402-2-222-2-22−2i2i2i−2i−2i2i2i−2i0000000000000000−2ζ32ζ3−2ζ2ζ000000002-2-222-2-22−2i2i2i−2i−2i2i2i−2i0000000000000000−2ζ32ζ3−2ζ2ζ000000002-2-222-2-22−2i2i2i−2i−2i2i2i−2i0000000000000000−2ζ32ζ3−2ζ2ζ00000000
χ412-2-22-222-22i−2i−2i2i−2i2i2i−2i000000000000000000002ζ3−2ζ32ζ−2ζ00002-2-22-222-22i−2i−2i2i−2i2i2i−2i000000000000000000002ζ3−2ζ32ζ−2ζ00002-2-22-222-22i−2i−2i2i−2i2i2i−2i000000000000000000002ζ3−2ζ32ζ−2ζ0000
χ422-2-22-222-22i−2i−2i2i−2i2i2i−2i00000000000000000000−2ζ32ζ3−2ζ2ζ00002-2-22-222-22i−2i−2i2i−2i2i2i−2i00000000000000000000−2ζ32ζ3−2ζ2ζ00002-2-22-222-22i−2i−2i2i−2i2i2i−2i00000000000000000000−2ζ32ζ3−2ζ2ζ0000
χ432-2-22-222-2−2i2i2i−2i2i−2i−2i2i000000000000000000002ζ−2ζ2ζ3−2ζ300002-2-22-222-2−2i2i2i−2i2i−2i−2i2i000000000000000000002ζ−2ζ2ζ3−2ζ300002-2-22-222-2−2i2i2i−2i2i−2i−2i2i000000000000000000002ζ−2ζ2ζ3−2ζ30000
χ442-2-22-222-2−2i2i2i−2i2i−2i−2i2i00000000000000000000−2ζ2ζ−2ζ32ζ300002-2-22-222-2−2i2i2i−2i2i−2i−2i2i00000000000000000000−2ζ2ζ−2ζ32ζ300002-2-22-222-2−2i2i2i−2i2i−2i−2i2i00000000000000000000−2ζ2ζ−2ζ32ζ30000
χ451111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ461111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ4711111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ4811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ491111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ501111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ511111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ521111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ5311111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i11111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111−i−iii−i−iii−i−iii−i−iii
χ5411111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii11111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111ii−i−iii−i−iii−i−iii−i−i
χ5511111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii11111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1−i−iii−i−iiiii−i−iii−i−i
χ5611111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i11111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1ii−i−iii−i−i−i−iii−i−iii
χ5711111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−i
χ5811111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii
χ5911111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i11111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111−i−iiiii−i−iii−i−i−i−iii
χ6011111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii11111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i
χ612222-2-2-2-22222-2-2-2-2000000002-22-200000000000000002222-2-2-2-22222-2-2-2-2000000002-22-20000000000000000-2-2-2-22222-2-2-2-2222200000000-22-220000000000000000
χ622222-2-2-2-22222-2-2-2-200000000-22-2200000000000000002222-2-2-2-22222-2-2-2-200000000-22-220000000000000000-2-2-2-22222-2-2-2-22222000000002-22-20000000000000000
χ632222-2-2-2-2-2-2-2-22222000000002-2-2200000000000000002222-2-2-2-2-2-2-2-22222000000002-2-220000000000000000-2-2-2-222222222-2-2-2-200000000-222-20000000000000000
χ642222-2-2-2-2-2-2-2-2222200000000-222-200000000000000002222-2-2-2-2-2-2-2-2222200000000-222-20000000000000000-2-2-2-222222222-2-2-2-2000000002-2-220000000000000000
χ6522-2-222-2-222-2-222-2-200002-22-20000000000000000000022-2-222-2-222-2-222-2-200002-22-200000000000000000000-2-222-2-222-2-222-2-2220000-22-2200000000000000000000
χ6622-2-222-2-222-2-222-2-20000-22-220000000000000000000022-2-222-2-222-2-222-2-20000-22-2200000000000000000000-2-222-2-222-2-222-2-22200002-22-200000000000000000000
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χ9222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-100000000000000000000000000000000000000000000
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χ942222222222222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-100000000000000000000000000000000000000000000
χ952222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-100000000000000000000000000000000000000000000
χ962222222222222222-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.