Finite Group Databasebeta

← Group #11787078

Character table — Group #11787078

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222224444444444444444444444888888888888888888881212121212121212121212122424242424242424242424242424242424243636363636363636
order1222222222336666666666223446666666666666666666666666666612121212121212124444121212121212121244444412121212121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-11-1-111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ61111111111111111111111-1-11-1-111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111
χ71111111111111111111111-1-11-1-111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-111-1-111
χ81111111111111111111111-1-11-1-111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-111-1-1
χ911-1-11-1-111-11111-1-1-111-1-1-11-111-1111-1-1-1-1-111-1-1-1-111111-1-111-1-111-1-111-1-111-1-1ii−i−iiiii−i−i−i−ii−i1-11-1ii−i−i11-1-111-1-1i−ii−ii−ii−i
χ1011-1-11-1-111-11111-1-1-111-1-1-11-111-1111-1-1-1-1-111-1-1-1-111111-1-111-1-111-1-111-1-111-1-1ii−i−iiiii−i−i−i−ii−i-11-11ii−i−i-1-111-1-111−ii−ii−ii−ii
χ1111-1-11-1-111-11111-1-1-111-1-1-11-111-1111-1-1-1-1-111-1-1-1-111111-1-111-1-111-1-111-1-111-1-1−i−iii−i−i−i−iiiii−ii1-11-1−i−iii11-1-111-1-1−ii−ii−ii−ii
χ1211-1-11-1-111-11111-1-1-111-1-1-11-111-1111-1-1-1-1-111-1-1-1-111111-1-111-1-111-1-111-1-111-1-1−i−iii−i−i−i−iiiii−ii-11-11−i−iii-1-111-1-111i−ii−ii−ii−i
χ1311-1-11-1-111-11111-1-1-111-1-1-1-111-11111-1-1-1-1-111-1-1-1-1111-1-11111-1-1-1-111-1-111-1-111ii−i−iiiii−i−i−i−i−ii1-1-11−i−iii11-1-1-1-111i−i−iii−i−ii
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χ1722222222222-1222-1-12-122222-12222-122-1-1-1-1-1-1-1-1-1-1-1-12-12-1-1-1-1-1-1-1-1-12-12-1-1-1-1-10000000000000022220000-1-1-1-1-1-1-1-100000000
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χ4522-2-2222-2-2-2-12-1-11-2-2-121112-2-1-22112-1-1-222-1-11111-1-2-2-121-211-1-1-1-1111-2-1211-1-1000033−3−3−3−3330000003−3−330000000000000000
χ4622-2-2222-2-2-2-12-1-11-2-2-121112-2-1-22112-1-1-222-1-11111-1-2-2-121-211-1-1-1-1111-2-1211-1-10000−3−33333−3−3000000−333−30000000000000000
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χ5122-2-22-2-222-22-122-2112-1-2-2-2-22-1-2222-1-2-2111-1-11111-1-1-1-212-1-1-11111-1-1-212-111-1-1000000000000002-2-220000-1-11111-1-100000000
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χ964-4-44000000-242i3−2i32-442-4−2i32i3-200-200000000002i3−2i32-2−2i32i320000000000000000000000-222-21+i3−1−i31−i3−1+i3−1−i31+i3−1+i31−i300000000000000000000000000
χ978-88-80000008-4008-44-8400-800-4000000000000-44004000000000000000000000000000000000000000000000000000000000000
χ988-88-8000000-4-4−4i34i3-4-4444−4i34i3400200000000002i3−2i32-22i3−2i3-2000000000000000000000000000000000000000000000000000000000000
χ998-88-8000000-4-44i3−4i3-4-44444i3−4i340020000000000−2i32i32-2−2i32i3-2000000000000000000000000000000000000000000000000000000000000
χ1008-8-880000008-400-84-4-8400800-40000000000004-4004000000000000000000000000000000000000000000000000000000000000
χ1018-8-88000000-4-4−4i34i344-4444i3−4i3-400200000000002i3−2i3-22−2i32i3-2000000000000000000000000000000000000000000000000000000000000
χ1028-8-88000000-4-44i3−4i344-444−4i34i3-40020000000000−2i32i3-222i3−2i3-2000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.