Finite Group Databasebeta

← Group #11792015

Character table — Group #11792015

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444444444444412121212121212121212121212121212121212121212121224242424242424242424242472727272
order122222223344446666666666666612121212121212122234466666666666666666666666121212121212121212121212121212121212121212121212121212128888888824242424242424242424242424242424444412121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ6111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ7111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ8111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ92222222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2222-2-222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ102222222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-222222-2-2-2-22222-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000
χ11222222222-12222222222-1-1-1-1-12-1-12222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-10000
χ12222222222-12222222222-1-1-1-1-12-1-12222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-2111111110000
χ13222222222-12222222222-1-1-1-1-12-1-122222222-2-2-1-2-2-2-2-2-21111-1-1-1-1-1-111111111-1-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-11111111100000000000000000000000022-2-2-1-1-1-111110000
χ14222222222-12222222222-1-1-1-1-12-1-122222222-2-2-1-2-2-2-2-2-21111-1-1-1-1-1-111111111-1-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111000000000000000000000000-2-2221111-1-1-1-10000
χ15222222222-1-2-2-2-2222222-1-1-1-1-12-1-1-2-2-2-2-2-2-2-222-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111111111110000000000000000000000000000−i3−i3i3i3−i3−i3i3i30000
χ16222222222-1-2-2-2-2222222-1-1-1-1-12-1-1-2-2-2-2-2-2-2-222-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111111111110000000000000000000000000000i3i3−i3−i3i3i3−i3−i30000
χ17222222222-1-2-2-2-2222222-1-1-1-1-12-1-1-2-2-2-2-2-2-2-2-2-2-122-2-2-2-21111-1-1-1-1-1-111111111-122221111-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000000000000000−i3−i3i3i3i3i3−i3−i30000
χ18222222222-1-2-2-2-2222222-1-1-1-1-12-1-1-2-2-2-2-2-2-2-2-2-2-122-2-2-2-21111-1-1-1-1-1-111111111-122221111-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000000000000000i3i3−i3−i3−i3−i3i3i30000
χ1922222222-122222-1-1-1-1-1-122222-122-1-1-1-1-1-1-1-122-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2022222222-122222-1-1-1-1-1-122222-122-1-1-1-1-1-1-1-122-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ2122222222-122222-1-1-1-1-1-122222-122-1-1-1-1-1-1-1-1-2-2-1-2-21111-2-2-2-2-1-1-1-1-1-111111111-111112222-2-2-2-2-1-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ2222222222-122222-1-1-1-1-1-122222-122-1-1-1-1-1-1-1-1-2-2-1-2-21111-2-2-2-2-1-1-1-1-1-111111111-111112222-2-2-2-2-1-1-1-1-1-1-1-111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ2322222222-12-2-2-2-2-1-1-1-1-1-122222-1221111111122-1-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-21111111111111111000000003333−3−3−3−33333−3−3−3−30000000000000000
χ2422222222-12-2-2-2-2-1-1-1-1-1-122222-1221111111122-1-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-2111111111111111100000000−3−3−3−33333−3−3−3−333330000000000000000
χ2522222222-12-2-2-2-2-1-1-1-1-1-122222-12211111111-2-2-1221111-2-2-2-2-1-1-1-1-1-111111111-1-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000003333−3−3−3−3−3−3−3−333330000000000000000
χ2622222222-12-2-2-2-2-1-1-1-1-1-122222-12211111111-2-2-1221111-2-2-2-2-1-1-1-1-1-111111111-1-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000−3−3−3−333333333−3−3−3−30000000000000000
χ272222-2-2-2-2220000222-2-2-2222-2-2-2-2-2000000002-220022-2-222-2-2222-2-2-22222-2-2-2-2-2000000000000000000000000000022−2−222−2−222−2−222−2−222−2−222−2−20000000000000000
χ282222-2-2-2-2220000222-2-2-2222-2-2-2-2-2000000002-220022-2-222-2-2222-2-2-22222-2-2-2-2-20000000000000000000000000000−2−222−2−222−2−222−2−222−2−222−2−2220000000000000000
χ292222-2-2-2-2220000222-2-2-2222-2-2-2-2-200000000-22200-2-222-2-222222-2-2-2-2-2-2-22222-2000000000000000000000000000022−2−2−2−22222−2−222−2−2−2−222−2−2220000000000000000
χ302222-2-2-2-2220000222-2-2-2222-2-2-2-2-200000000-22200-2-222-2-222222-2-2-2-2-2-2-22222-20000000000000000000000000000−2−22222−2−2−2−222−2−22222−2−222−2−20000000000000000
χ312222-2-2-2-2-120000-1-1-1111222-2-21-2-233−3−333−3−32-2-100-1-11122-2-2-1-1-1111-1-1-1-11111133−3−3000000003333−3−3−3−33333−3−3−3−322−2−222−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ230000000000000000
χ322222-2-2-2-2-120000-1-1-1111222-2-21-2-233−3−333−3−32-2-100-1-11122-2-2-1-1-1111-1-1-1-11111133−3−3000000003333−3−3−3−33333−3−3−3−3−2−222−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ230000000000000000
χ332222-2-2-2-2-120000-1-1-1111222-2-21-2-233−3−333−3−3-22-10011-1-1-2-222-1-1-11111111-1-1-1-11−3−333000000003333−3−3−3−3−3−3−3−3333322−2−2−2−222ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ230000000000000000
χ342222-2-2-2-2-120000-1-1-1111222-2-21-2-233−3−333−3−3-22-10011-1-1-2-222-1-1-11111111-1-1-1-11−3−333000000003333−3−3−3−3−3−3−3−33333−2−22222−2−2−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ230000000000000000
χ352222-2-2-2-2-120000-1-1-1111222-2-21-2-2−3−333−3−3332-2-100-1-11122-2-2-1-1-1111-1-1-1-111111−3−33300000000−3−3−3−33333−3−3−3−3333322−2−222−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ70000000000000000
χ362222-2-2-2-2-120000-1-1-1111222-2-21-2-2−3−333−3−3332-2-100-1-11122-2-2-1-1-1111-1-1-1-111111−3−33300000000−3−3−3−33333−3−3−3−33333−2−222−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ70000000000000000
χ372222-2-2-2-2-120000-1-1-1111222-2-21-2-2−3−333−3−333-22-10011-1-1-2-222-1-1-11111111-1-1-1-1133−3−300000000−3−3−3−333333333−3−3−3−322−2−2−2−222ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ70000000000000000
χ382222-2-2-2-2-120000-1-1-1111222-2-21-2-2−3−333−3−333-22-10011-1-1-2-222-1-1-11111111-1-1-1-1133−3−300000000−3−3−3−333333333−3−3−3−3−2−22222−2−2−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ70000000000000000
χ3922-2-22-2-222222-2-22-2-22-2-22-2-22-22-222222-2-2-2-200200000000002-2-22-2-2000000002000022-2-2000022-2-222-2-20000000000002i−2i2i−2i000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ4022-2-22-2-222222-2-22-2-22-2-22-2-22-22-222222-2-2-2-200200000000002-2-22-2-2000000002000022-2-2000022-2-222-2-2000000000000−2i2i−2i2i00000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ4122-2-22-2-2222-2-2222-2-22-2-22-2-22-22-22-2-2-2-2222200200000000002-2-22-2-20000000020000-2-2220000-2-222-2-222000000002-22-200002-22-22-22-2000000000000000000000000
χ4222-2-22-2-2222-2-2222-2-22-2-22-2-22-22-22-2-2-2-2222200200000000002-2-22-2-20000000020000-2-2220000-2-222-2-22200000000-22-220000-22-22-22-22000000000000000000000000
χ4322-2-22-2-22-1222-2-2-111-1112-2-22-2-1-22-1-1-1-1111100-100−i3i3−i3i30000-111-111−i3−i3i3i3−i3−i3i3i3-1−i3i3−i3i322-2-20000-1-111-1-111−i3−i3i3i3−i3−i3i3i300002i−2i2i−2i3−33−3−33−33−ii−ii−ii−ii0000000000000000
χ4422-2-22-2-22-1222-2-2-111-1112-2-22-2-1-22-1-1-1-1111100-100−i3i3−i3i30000-111-111−i3−i3i3i3−i3−i3i3i3-1−i3i3−i3i322-2-20000-1-111-1-111−i3−i3i3i3−i3−i3i3i30000−2i2i−2i2i−33−333−33−3i−ii−ii−ii−i0000000000000000
χ4522-2-22-2-22-1222-2-2-111-1112-2-22-2-1-22-1-1-1-1111100-100i3−i3i3−i30000-111-111i3i3−i3−i3i3i3−i3−i3-1i3−i3i3−i322-2-20000-1-111-1-111i3i3−i3−i3i3i3−i3−i300002i−2i2i−2i−33−333−33−3−ii−ii−ii−ii0000000000000000
χ4622-2-22-2-22-1222-2-2-111-1112-2-22-2-1-22-1-1-1-1111100-100i3−i3i3−i30000-111-111i3i3−i3−i3i3i3−i3−i3-1i3−i3i3−i322-2-20000-1-111-1-111i3i3−i3−i3i3i3−i3−i30000−2i2i−2i2i3−33−3−33−33i−ii−ii−ii−i0000000000000000
χ4722-2-22-2-22-12-2-222-111-1112-2-22-2-1-221111-1-1-1-100-100−i3i3−i3i30000-111-111−i3−i3i3i3−i3−i3i3i3-1i3−i3i3−i3-2-222000011-1-111-1-1i3i3−i3−i3i3i3−i3−i32-22-20000-11-11-11-11−i3i3−i3i3i3−i3i3−i30000000000000000
χ4822-2-22-2-22-12-2-222-111-1112-2-22-2-1-221111-1-1-1-100-100−i3i3−i3i30000-111-111−i3−i3i3i3−i3−i3i3i3-1i3−i3i3−i3-2-222000011-1-111-1-1i3i3−i3−i3i3i3−i3−i3-22-2200001-11-11-11-1i3−i3i3−i3−i3i3−i3i30000000000000000
χ4922-2-22-2-22-12-2-222-111-1112-2-22-2-1-221111-1-1-1-100-100i3−i3i3−i30000-111-111i3i3−i3−i3i3i3−i3−i3-1−i3i3−i3i3-2-222000011-1-111-1-1−i3−i3i3i3−i3−i3i3i32-22-20000-11-11-11-11i3−i3i3−i3−i3i3−i3i30000000000000000
χ5022-2-22-2-22-12-2-222-111-1112-2-22-2-1-221111-1-1-1-100-100i3−i3i3−i30000-111-111i3i3−i3−i3i3i3−i3−i3-1−i3i3−i3i3-2-222000011-1-111-1-1−i3−i3i3i3−i3−i3i3i3-22-2200001-11-11-11-1−i3i3−i3i3i3−i3i3−i30000000000000000
χ5122-2-2-222-22200002-2-2-2222-2-2-22-22-2000000000022i−2i000000002-2-2-22200000000-22i−2i−2i2i00002i2i−2i−2i000000002i2i−2i−2i−2i−2i2i2i2−2−22−i2i2i2−i22−2−222−2−22−i2i2i2−i2−i2i2i2−i20000000000000000
χ5222-2-2-222-22200002-2-2-2222-2-2-22-22-2000000000022i−2i000000002-2-2-22200000000-22i−2i−2i2i00002i2i−2i−2i000000002i2i−2i−2i−2i−2i2i2i−222−2i2−i2−i2i2−222−2−222−2i2−i2−i2i2i2−i2−i2i20000000000000000
χ5322-2-2-222-22200002-2-2-2222-2-2-22-22-200000000002−2i2i000000002-2-2-22200000000-2−2i2i2i−2i0000−2i−2i2i2i00000000−2i−2i2i2i2i2i−2i−2i2−2−22i2−i2−i2i22−2−222−2−22i2−i2−i2i2i2−i2−i2i20000000000000000
χ5422-2-2-222-22200002-2-2-2222-2-2-22-22-200000000002−2i2i000000002-2-2-22200000000-2−2i2i2i−2i0000−2i−2i2i2i00000000−2i−2i2i2i2i2i−2i−2i−222−2−i2i2i2−i2−222−2−222−2−i2i2i2−i2−i2i2i2−i20000000000000000
χ5522-2-2-222-2-120000-1111-1-12-2-2-2212-233−3−3−3−33300-12i−2i−i3i3i3−i30000-1111-1-1−i3−i3i3i3i3i3−i3−i31−iii−i00002i2i−2i−2i33−3−3−3−333−i−iiiii−i−i2−2−22−i2i2i2−i2ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ70000000000000000
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χ1304-4-44-4-444-2-24-4-4422-222-222-22-2-22-2-22-222-22-20010000000000-1-11-1-11-333-3-333-310000-222-200001-1-111-1-11-333-3-333-30000000000000000000000000000000000000000
χ1314-4-44-4-444-2-2-444-422-222-222-22-2-22-22-22-2-22-220010000000000-1-11-1-113-3-333-3-33100002-2-220000-111-1-111-1-333-3-333-30000000000000000000000000000000000000000
χ1324-4-44-4-444-2-2-444-422-222-222-22-2-22-22-22-2-22-220010000000000-1-11-1-11-333-3-333-3100002-2-220000-111-1-111-13-3-333-3-330000000000000000000000000000000000000000

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