Finite Group Databasebeta

← Group #11787697

Character table — Group #11787697

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222224444444444444444444444888888888888888888881212121212121212121212122424242424242424242424242424242424243636363636363636
order122222334444666666666634444666666666121212121212121212121212121212121212121212121212121212124444121212121212121244888812121212242424242424242422444444
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
χ511111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111
χ611111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ711111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-11111-1-1
χ811111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-111
χ91-1-111-1111-11-111-1-11-1-1-1-111ii−i−i1-111-1-1-11-11-111-1-11-1iiii−i−i−i−i11-1-1iiii−i−i−i−iii−i−iiiii−i−i−i−i1-1i−i1-111-1-1ii−i−i11-1-11-1i−ii−i1-1
χ101-1-111-1111-11-111-1-11-1-1-1-111ii−i−i1-111-1-1-11-11-111-1-11-1iiii−i−i−i−i11-1-1iiii−i−i−i−iii−i−iiiii−i−i−i−i1-1−ii-1111-1-1−i−iii-1-111-11−ii−ii-11
χ111-1-111-1111-11-111-1-11-1-1-1-111ii−i−i1-111-1-1-11-11-111-1-11-1iiii−i−i−i−i11-1-1iiii−i−i−i−i−i−iii−i−i−i−iiiii-11i−i1-1-1-111ii−i−i11-1-1-11−ii−ii-11
χ121-1-111-1111-11-111-1-11-1-1-1-111ii−i−i1-111-1-1-11-11-111-1-11-1iiii−i−i−i−i11-1-1iiii−i−i−i−i−i−iii−i−i−i−iiiii-11−ii-11-1-111−i−iii-1-1111-1i−ii−i1-1
χ131-1-111-1111-11-111-1-11-1-1-1-111−i−iii1-111-1-1-11-11-111-1-11-1−i−i−i−iiiii11-1-1−i−i−i−iiiiiii−i−iiiii−i−i−i−i-11i−i-11-1-111ii−i−i-1-1111-1−ii−ii1-1
χ141-1-111-1111-11-111-1-11-1-1-1-111−i−iii1-111-1-1-11-11-111-1-11-1−i−i−i−iiiii11-1-1−i−i−i−iiiiiii−i−iiiii−i−i−i−i-11−ii1-1-1-111−i−iii11-1-1-11i−ii−i-11
χ151-1-111-1111-11-111-1-11-1-1-1-111−i−iii1-111-1-1-11-11-111-1-11-1−i−i−i−iiiii11-1-1−i−i−i−iiiii−i−iii−i−i−i−iiiii1-1i−i-1111-1-1ii−i−i-1-111-11i−ii−i-11
χ161-1-111-1111-11-111-1-11-1-1-1-111−i−iii1-111-1-1-11-11-111-1-11-1−i−i−i−iiiii11-1-1−i−i−i−iiiii−i−iii−i−i−i−iiiii1-1−ii1-111-1-1−i−iii11-1-11-1−ii−ii1-1
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χ1822222222-2-2-2-222222222222-22-22222222222-2-2-2-2-2-2-2-2-2-222-2-222-2-2-2-2-2-222-2-22200000000000000000000000000000000000000
χ192222222-12222222-1-12-1222-12222-1-1-1-1-1-1-1-1-1-1-12222-1-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000022220000-1-1-1-1-1-1-1-100000000
χ202222222-12222222-1-12-1222-12222-1-1-1-1-1-1-1-1-1-1-12222-1-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-2-2-200001111111100000000
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χ232222222-1-2-2-2-2222-1-12-1222-12-22-2-1-1-1-1-1-1-1-1-111-2-2-2-2112-1-212-1-211111-1-111-1-11100000000000000000000003−33−33−33−300000000
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χ252222222-1-2-2-2-2222-1-12-1222-1-22-22-1-1-1-1-1-1-1-1-111-2-2-2-211-212-1-212-1111111-1-111-1-100000000000000000000003−33−3−33−3300000000
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χ27222222-122222-1-1-122-12-1-1-1-1222222-1-1-1-1-1-1-122-1-1-1-122-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1220000-1-1-1-10000000000000000
χ28222222-122222-1-1-122-12-1-1-1-1222222-1-1-1-1-1-1-122-1-1-1-122-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2000011110000000000000000
χ29222222-122222-1-1-122-12-1-1-1-1-2-2-2-222-1-1-1-1-1-1-122-1-1-1-1221-21-21-21-2-1-1-1-1111111112222-1-1-1-1-1-1-1-1-2-2000011110000000000000000
χ30222222-122222-1-1-122-12-1-1-1-1-2-2-2-222-1-1-1-1-1-1-122-1-1-1-1221-21-21-21-2-1-1-1-111111111-2-2-2-211111111220000-1-1-1-10000000000000000
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χ432-2-222-22-12-22-222-21-1-21-2-22-1−2i−2i2i2i-11-1-1111-11-1122-2-2-11−2ii−2ii2i−i2i−i-1-111iiii−i−i−i−i000000000000002i−2i-220000−i−iii11-1-100000000
χ442-2-222-22-12-22-222-21-1-21-2-22-1−2i−2i2i2i-11-1-1111-11-1122-2-2-11−2ii−2ii2i−i2i−i-1-111iiii−i−i−i−i00000000000000−2i2i2-20000ii−i−i-1-11100000000
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χ904-4-44-444-2-4-444-4-4-42-2-42444-200002-2222-2-2-2222-444-4-2-2000000002-2-220000000000000000000000000000000000000000000000
χ914-4-44-44-2444-4-4222-442-4-2-2-2-20000-44222-2-2-2244-222-2-4-400000000-222-20000000000000000000000000000000000000000000000
χ924-4-44-44-24-4-444222-442-4-2-2-2-20000-44222-2-2-22-4-42-2-2244000000002-2-220000000000000000000000000000000000000000000000
χ934-4-44-44-2-244-4-42222-222-2-2-2100002-2-1-1-1111-1-2-2-222-222000000001-1-113i−3i3i−3i−3i3i−3i3i00000000000000000000000000000000000000
χ944-4-44-44-2-244-4-42222-222-2-2-2100002-2-1-1-1111-1-2-2-222-222000000001-1-11−3i3i−3i3i3i−3i3i−3i00000000000000000000000000000000000000
χ954-4-44-44-2-2-4-4442222-222-2-2-2100002-2-1-1-1111-1222-2-22-2-200000000-111-13i−3i−3i3i−3i3i3i−3i00000000000000000000000000000000000000
χ964-4-44-44-2-2-4-4442222-222-2-2-2100002-2-1-1-1111-1222-2-22-2-200000000-111-1−3i3i3i−3i3i−3i−3i3i00000000000000000000000000000000000000
χ9788-8-8008-40000008-44-8400-8-400000000-40044000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-40000−4i34i3-4-4444−4i34i3420000002i3−2i322i3−2i3-2-2000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-400004i3−4i3-4-44444i3−4i342000000−2i32i32−2i32i3-2-2000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8008-4000000-8448-400-8-4000000004004-4000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-800-4-40000−4i34i3444-4-44i3−4i3420000002i3−2i3-2−2i32i3-22000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-800-4-400004i3−4i3444-4-4−4i34i342000000−2i32i3-22i3−2i3-22000000000000000000000000000000000000000000000000000000000000000000

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