Finite Group Databasebeta

← Group #11789821

Character table — Group #11789821

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size1111111122222222222222222222222222222222222222222222222222224444444444444444444444444444444444444444444466666666666666666666666666666666666666666666666624242424242424242424242472727272
order122222223344444444444466666666666666121212121212121212121212121212121212121212121212366666661212121212121212121212121212121212121212121212121212121212121212121212128888888888888888242424242424242424242424242424242424242424242424242424242424242422446666121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ6111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ7111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-111
χ8111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1111111-1-1
χ911-11-1-11-1111-1ii−i−iii−i−i1-111-1-111-11-1-11-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1111-1-11-1-111-1-1iiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1i−i11-1-1ii−i−i1-1i−i
χ1011-11-1-11-1111-1ii−i−iii−i−i1-111-1-111-11-1-11-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1111-1-11-1-111-1-1iiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11−ii-1-111−i−iii-11−ii
χ1111-11-1-11-1111-1ii−i−iii−i−i1-111-1-111-11-1-11-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1111-1-11-1-111-1-1iiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−i−i−iiiii-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii1-1i−i11-1-1ii−i−i-11−ii
χ1211-11-1-11-1111-1ii−i−iii−i−i1-111-1-111-11-1-11-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1111-1-11-1-111-1-1iiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−i−i−iiiii-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii-11−ii-1-111−i−iii1-1i−i
χ1311-11-1-11-1111-1−i−iii−i−iii1-111-1-111-11-1-11-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1111-1-11-1-111-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1−ii11-1-1−i−iii1-1−ii
χ1411-11-1-11-1111-1−i−iii−i−iii1-111-1-111-11-1-11-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1111-1-11-1-111-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11i−i-1-111ii−i−i-11i−i
χ1511-11-1-11-1111-1−i−iii−i−iii1-111-1-111-11-1-11-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1111-1-11-1-111-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111iiii−i−i−i−i-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i1-1−ii11-1-1−i−iii-11i−i
χ1611-11-1-11-1111-1−i−iii−i−iii1-111-1-111-11-1-11-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1111-1-11-1-111-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111iiii−i−i−i−i-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i-11i−i-1-111ii−i−i1-1−ii
χ172222222222-2-22222-2-2-2-2-2-222222222222222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-222-2-222-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000000000000000000000000000
χ182222222222-2-2-2-2-2-22222-2-222222222222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-222-2-222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000000000000000000000000000
χ19222222222-12222222222222222-1-1-1222-1-1-1-1222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000002222-1-1-1-1-1-1-1-10000
χ20222222222-12222222222222222-1-1-1222-1-1-1-1222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000-2-2-2-2111111110000
χ21222222222-122-2-2-2-2-2-2-2-2222222-1-1-1222-1-1-1-12222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111100000000000000000000000000000000000000000000000022-2-2-1-1-1-111110000
χ22222222222-122-2-2-2-2-2-2-2-2222222-1-1-1222-1-1-1-12222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111000000000000000000000000000000000000000000000000-2-2221111-1-1-1-10000
χ23222222222-1-2-22222-2-2-2-2-2-22222-1-1-1222-1-1-1-1-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111-1-111-1-11111111111-1-1-1-11111-1-1-1-111110000000000000000000000000000000000000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ24222222222-1-2-22222-2-2-2-2-2-22222-1-1-1222-1-1-1-1-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111-1-111-1-11111111111-1-1-1-11111-1-1-1-111110000000000000000000000000000000000000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ25222222222-1-2-2-2-2-2-22222-2-22222-1-1-1222-1-1-1-1-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1111111-1-111-1-1111111111111-1-1-1-11111-1-1-1-10000000000000000000000000000000000000000000000000000−i3i3−i3i3i3−i3i3−i30000
χ26222222222-1-2-2-2-2-2-22222-2-22222-1-1-1222-1-1-1-1-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1111111-1-111-1-1111111111111-1-1-1-11111-1-1-1-10000000000000000000000000000000000000000000000000000i3−i3i3−i3−i3i3−i3i30000
χ2722222222-12222222222222-1-1-1-1222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2822222222-12222222222222-1-1-1-1222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111111111111111111111111110000000000000000
χ2922222222-1222-2-2-2-2-2-2-2-222-1-1-1-1222-1-1-12222-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000
χ3022222222-1222-2-2-2-2-2-2-2-222-1-1-1-1222-1-1-12222-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2-2-2-2-2222222221111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ3122222222-12-2-22222-2-2-2-2-2-2-1-1-1-1222-1-1-122221111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-2-2-2-222-2-222-2-211111111-1-1-1-11111-1-1-1-1111100000000000000003333−3−3−3−33333−3−3−3−33333−3−3−3−33333−3−3−3−30000000000000000
χ3222222222-12-2-22222-2-2-2-2-2-2-1-1-1-1222-1-1-122221111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-2-2-2-222-2-222-2-211111111-1-1-1-11111-1-1-1-111110000000000000000−3−3−3−33333−3−3−3−33333−3−3−3−33333−3−3−3−333330000000000000000
χ3322222222-12-2-2-2-2-2-22222-2-2-1-1-1-1222-1-1-1222211111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-2-2-2-2-2-222-2-222111111111111-1-1-1-11111-1-1-1-100000000000000003333−3−3−3−33333−3−3−3−3−3−3−3−33333−3−3−3−333330000000000000000
χ3422222222-12-2-2-2-2-2-22222-2-2-1-1-1-1222-1-1-1222211111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-2-2-2-2-2-222-2-222111111111111-1-1-1-11111-1-1-1-10000000000000000−3−3−3−33333−3−3−3−333333333−3−3−3−33333−3−3−3−30000000000000000
χ35222-2-2-2-2222002i−2i2i−2i0000002-22-22-22-22-2-22-2-200002i2i−2i−2i00002i2i−2i−2i0000000022-22-2-22-200002i−2i002i−2i00000000002i2i−2i−2i00002i2i−2i−2i0000−i2−i2i2i2−i2−i2i2i222−2−222−2−2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i222−2−222−2−222−2−222−2−20000000000000000
χ36222-2-2-2-2222002i−2i2i−2i0000002-22-22-22-22-2-22-2-200002i2i−2i−2i00002i2i−2i−2i0000000022-22-2-22-200002i−2i002i−2i00000000002i2i−2i−2i00002i2i−2i−2i0000i2i2−i2−i2i2i2−i2−i2−2−222−2−222i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−2−222−2−222−2−222−2−2220000000000000000
χ37222-2-2-2-222200−2i2i−2i2i0000002-22-22-22-22-2-22-2-20000−2i−2i2i2i0000−2i−2i2i2i0000000022-22-2-22-20000−2i2i00−2i2i0000000000−2i−2i2i2i0000−2i−2i2i2i0000−i2−i2i2i2−i2−i2i2i2−2−222−2−222−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−2−222−2−222−2−222−2−2220000000000000000
χ38222-2-2-2-222200−2i2i−2i2i0000002-22-22-22-22-2-22-2-20000−2i−2i2i2i0000−2i−2i2i2i0000000022-22-2-22-20000−2i2i00−2i2i0000000000−2i−2i2i2i0000−2i−2i2i2i0000i2i2−i2−i2i2i2−i2−i222−2−222−2−2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i222−2−222−2−222−2−222−2−20000000000000000
χ39222-2-2-2-22-12002i−2i2i−2i000000-11-112-221-11-22-2-23−33−3−i−iii−i3−i3i3i3−i−iii−i3−i3i3i33−33−3-1-11-111-1100002i−2i002i−2i0033−3−333−3−3−i−iii−i3−i3i3i3−i−iii−i3−i3i3i3−i2−i2i2i2−i2−i2i2i222−2−222−2−2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ70000000000000000
χ40222-2-2-2-22-12002i−2i2i−2i000000-11-112-221-11-22-2-23−33−3−i−iii−i3−i3i3i3−i−iii−i3−i3i3i33−33−3-1-11-111-1100002i−2i002i−2i0033−3−333−3−3−i−iii−i3−i3i3i3−i−iii−i3−i3i3i3i2i2−i2−i2i2i2−i2−i2−2−222−2−222−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ70000000000000000
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χ1604-4-444-4-44-2-24400000000-4-42222222-2-2-2-2-2-22-2-2-2-22i3−2i32i3−2i32i3−2i32i3−2i3−2i32i3−2i32i3−2i32i3−2i32i322221-1-1-1-1111-222-2000000001-11-1-11-11−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3i3−i30000000000000000000000000000000000000000000000000000000000000000
χ1614-4-444-4-44-2-2-4-400000000442222222-2-2-2-2-2-222222−2i32i3−2i32i32i3−2i32i3−2i32i3−2i32i3−2i3−2i32i3−2i32i3-2-2-2-21-1-1-1-11112-2-2200000000-11-111-11-1i3−i3i3−i3−i3i3−i3i3−i3i3−i3i3i3−i3i3−i30000000000000000000000000000000000000000000000000000000000000000
χ1624-4-444-4-44-2-2-4-400000000442222222-2-2-2-2-2-2222222i3−2i32i3−2i3−2i32i3−2i32i3−2i32i3−2i32i32i3−2i32i3−2i3-2-2-2-21-1-1-1-11112-2-2200000000-11-111-11-1−i3i3−i3i3i3−i3i3−i3i3−i3i3−i3−i3i3−i3i30000000000000000000000000000000000000000000000000000000000000000
χ1634-4-4-4-44444-20000004-4-4400-44-442-22-44-42-22-2000000004-4-440000-444-40000-22-22-22-22000000-22002-2000000000000-222-200002-2-220000000000000000000000000000000000000000000000000000000000000000
χ1644-4-4-4-44444-2000000-444-400-44-442-22-44-42-22-200000000-444-400004-4-440000-22-22-22-220000002-200-220000000000002-2-220000-222-20000000000000000000000000000000000000000000000000000000000000000
χ1654-4-4-4-4444-2-20000004-4-44002-22-22-222-222-22-223−2323−2323−23−2323-222-2−232323−232-2-22−2323−23231-11-11-11-1000000-22002-2−333−33−3−33−333−31-1-113−3−33-111-10000000000000000000000000000000000000000000000000000000000000000
χ1664-4-4-4-4444-2-20000004-4-44002-22-22-222-222-22-2−2323−2323−232323−23-222-223−23−23232-2-2223−2323−231-11-11-11-1000000-22002-23−3−33−333−33−3−331-1-11−333−3-111-10000000000000000000000000000000000000000000000000000000000000000
χ1674-4-4-4-4444-2-2000000-444-4002-22-22-222-222-22-223−2323−23−232323−232-2-2223−23−2323-222-2−2323−23231-11-11-11-10000002-200-22−333−33−3−333−3−33-111-1−333−31-1-110000000000000000000000000000000000000000000000000000000000000000
χ1684-4-4-4-4444-2-2000000-444-4002-22-22-222-222-22-2−2323−232323−23−23232-2-22−232323−23-222-223−2323−231-11-11-11-10000002-200-223−3−33−333−3−333−3-111-13−3−331-1-110000000000000000000000000000000000000000000000000000000000000000

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