Finite Group Databasebeta

← Group #11784871

Character table — Group #11784871

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222224444444444444444444444888888888888888888881212121212121212121212122424242424242424242424242424242424243636363636363636
order12222233444466666666662222366666666612121212121212126666666666666666121212124444121212121212121244888812121212242424242424242422224444
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
χ51111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ61111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111
χ71111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-111-1-111
χ81111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-111-1-1
χ91-1-111-11111-1-111-1-1-111-1-1-111-1-111-111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1ii−i−iiiii−i−i−i−ii−ii−ii−iii−i−iii−i−iii−i−i1-11-11-11-1
χ101-1-111-11111-1-111-1-1-111-1-1-111-1-111-111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1ii−i−iiiii−i−i−i−ii−i−ii−iiii−i−i−i−iii−i−iii-11-11-11-11
χ111-1-111-11111-1-111-1-1-111-1-1-111-1-111-111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1−i−iii−i−i−i−iiiii−iii−ii−i−i−iiiii−i−iii−i−i-11-11-11-11
χ121-1-111-11111-1-111-1-1-111-1-1-111-1-111-111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1−i−iii−i−i−i−iiiii−ii−ii−ii−i−iii−i−iii−i−iii1-11-11-11-1
χ131-1-111-11111-1-111-1-1-111-1-1-1-1-11111-111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1ii−i−iiiii−i−i−i−i−iii−i−ii−i−iiiii−i−i−i−iii1-1-111-1-11
χ141-1-111-11111-1-111-1-1-111-1-1-1-1-11111-111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1ii−i−iiiii−i−i−i−i−ii−iii−i−i−iii−i−iiiii−i−i-111-1-111-1
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χ161-1-111-11111-1-111-1-1-111-1-1-1-1-11111-111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1−i−iii−i−i−i−iiiiii−i−iii−iii−i−i−i−iiiii−i−i1-1-111-1-11
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χ192222222-12222222-1-12-12222222-1-1-1-1-1-1-1-1-1-122-1-122-1-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000022220000-1-1-1-1-1-1-1-100000000
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χ362222-2-2222-22-2-2-222222-2-2200002-2-2-2-222-2-222-22-22-22-200000000000000002-22-200000000000000000000000000000000-2-20022
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χ422-2-222-22-122-2-222-2112-1-2-2-222-2-2-1-11-1-11111-122-1-1-2-2112-12-1-21-21-1-1-1-11111-1-11100000000000000−2i2i−2i2i0000ii−i−iii−i−i00000000
χ432-2-222-22-122-2-222-2112-1-2-2-2-2-222-1-11-1-11111-122-1-1-2-211-21-212-12-11111-1-1-1-1-1-111000000000000002i−2i−2i2i0000−i−iiiii−i−i00000000
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χ452-2-222-22-1-2-22222-2112-1-2-2-22-2-22-1-11-1-11111-1-2-21122-1-12-1-21-212-1-1-11111-1-111-1-10000000000000000000000−i3i3i3−i3−i3i3i3−i300000000
χ462-2-222-22-1-2-22222-2112-1-2-2-22-2-22-1-11-1-11111-1-2-21122-1-12-1-21-212-1-1-11111-1-111-1-10000000000000000000000i3−i3−i3i3i3−i3−i3i300000000
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χ964-4-44-44-2-2-444-422222-2-2-2-22000012-2-1-1-1-11112-22-2-22-2200000000-333-33-3-33-111-100000000000000000000000000000000000000
χ9788-8-8008-40000008-44-8400-80000-40000-44004000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-40000−4i34i3-4-4444−4i34i3400002002i3−2i32-22i3−2i3-2000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-400004i3−4i3-4-44444i3−4i340000200−2i32i32-2−2i32i3-2000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8008-4000000-84-4-840080000-400004-4004000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-800-4-40000−4i34i344-4444i3−4i3-400002002i3−2i3-22−2i32i3-2000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-800-4-400004i3−4i344-444−4i34i3-40000200−2i32i3-222i3−2i3-2000000000000000000000000000000000000000000000000000000000000000000

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