Finite Group Databasebeta

← Group #11772012

Character table — Group #11772012

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1122222222222222222224444444444444444444444444444444444444444444444444444444444444424242424242424242424242448484848484872727272
order122334466668888121224242424344666688121212121212121212121212121212121212121212121224242424242424242424242424242424242424242424242424242424242416161616484848484848484822666616161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111-1-1-1-111-1-1-1-11111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i1-111-1-1ii−i−i
χ611111111111-1-1-1-111-1-1-1-11111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i-11-1-111−i−iii
χ711111111111-1-1-1-111-1-1-1-11111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii1-111-1-1−i−iii
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χ92222222222222-2-22222222-2-222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000
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χ122222-1222-1-1-12222222222-1222-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-211110000
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χ1044-40-2-200222i3−2i3−2222−222223−23−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ2312-20-1−i3i300−1+i31−i3−1−i31+i3−1+31−3−1−31+32ζ14+ζ20+ζ22−2ζ14−ζ20−ζ22ζ4−ζ14−2ζ22−ζ4+ζ14+2ζ22−2ζ14+ζ20−ζ222ζ14−ζ20+ζ22ζ4+ζ14+2ζ22−ζ4−ζ14−2ζ22000−3i3i−33002−2i6−i6ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ232−2−662−2i6−i62ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ130000000000000000000000
χ1054-40-2-200222i3−2i3−2222−2222−2323−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ712-20-1−i3i300−1+i31−i3−1−i31+i3−1−31+3−1+31−3−2ζ14+ζ20−ζ222ζ14−ζ20+ζ22ζ4+ζ14+2ζ22−ζ4−ζ14−2ζ222ζ14+ζ20+ζ22−2ζ14−ζ20−ζ22ζ4−ζ14−2ζ22−ζ4+ζ14+2ζ220003i−3i3−3002−2i6−i6ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ232−26−62−2i6−i6−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ230000000000000000000000

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