Finite Group Databasebeta

← Group #11872324

Character table — Group #11872324

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222224444444444444444444444888888888888888888881212121212121212121212122424242424242424242424242424242424243636363636363636
order122233444444666666121212123444466612121212121212121212121212121212121212121212121212121212121212121212888824242424242424242244666688121212122424242422244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111-11-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-1111111-1-1-1-1-1-1-1-1
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
χ511111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-11-11-1-111-1-1-1-111-1-1-1-111-1-1-111-1
χ611111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111-1-11
χ711111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1111-1-11
χ811111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-11111-1-1111111-1-1-111-1
χ9111111-1-1-1-111111111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-111111-1-1-1-1-111-1-1-1-1-1-11111
χ10111111-1-1-1-111111111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11-1-1111-1-1-11-1-111-1-1111111-1-1-1-1
χ11111111-1-1-1-111111111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-111-1-1-1111-111-1-111-1-11111-1-1-1-1
χ12111111-1-1-1-111111111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-111111-1-111-1-1-1-11111
χ13111111-1-1-1-111111111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-111-1-1-111-1111-1-1-1-111-1-111-111-1
χ14111111-1-1-1-111111111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-11-1111111-1-111-1-11-1-11
χ15111111-1-1-1-111111111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-11111-11-1-1-1-1-1-11111-1-11-1-11
χ16111111-1-1-1-111111111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-111111-1-1111-1-11-1-1-11111-1-1-1-111-111-1
χ1722222222-2-2-2-222222222222000022222-2-2-2-22222-2-2-2-200000000-2-2-2-200000000000000000000000000000000000000002-2-2002
χ1822222222-2-2-2-222222222222000022222-2-2-2-22222-2-2-2-200000000-2-2-2-20000000000000000000000000000000000000000-22200-2
χ19222222-2-222-2-2222222-2-2-2-220000222-2-22222-2-2-2-2-2-2-2-200000000-2-22200000000000000000000000000000000000000002-2200-2
χ20222222-2-222-2-2222222-2-2-2-220000222-2-22222-2-2-2-2-2-2-2-200000000-2-2220000000000000000000000000000000000000000-22-2002
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χ2522222-1-2-2-2-22222-1-1-121111-122-2-2-1-1-1-2-211-2-2111122-1-122-1-111-2-2-1-111-1-1-1-1111122-2-2-1-1-1-1111120-20-1-100001100000000000000
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χ292222-12222222-1-1222-12222-12222-1-1-1-1-122-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000020200-1-12200-1-1-1-1-1-100000000
χ302222-12222222-1-1222-12222-12222-1-1-1-1-122-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000-20-20011-2-20011111100000000
χ312222-12222222-1-1222-12222-1-2-2-2-2-1-1-1-1-122-1-1-1-1-1-1-1-12211-2-2-2-211-1-1-1-111111111000000000000020200-1-1-2-200-1-1111100000000
χ322222-12222222-1-1222-12222-1-2-2-2-2-1-1-1-1-122-1-1-1-1-1-1-1-12211-2-2-2-211-1-1-1-1111111110000000000000-20-20011220011-1-1-1-100000000
χ332222-12-2-2-2-222-1-1222-1-2-2-2-2-122-2-2-1-1-111-2-2111111-1-122-1-122-2-211-1-111-1-1-1-11111000000000000020-200-1-12-20011-1-11100000000
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χ362222-12-2-2-2-222-1-1222-1-2-2-2-2-1-2-222-1-1-111-2-2111111-1-12211-2-222-1-1-1-1111111-1-1-1-10000000000000-20200112-200-1-1-1-11100000000
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χ4222-2-222−2i2i2i−2i-22-222-2-2-2−2i−2i2i2i2-222i−2i-22-2−2i2i2i−2i2i−2i−2i−2i2i2i-22-22-22-222i−2i2i−2i-222i−2i-2-2222i2i−2i−2i00000000000000000000000000000000000000
χ4322-2-222−2i2i−2i2i2-2-222-2-2-2−2i−2i2i2i20000-22-2−2i2i−2i2i−2i2i−2i−2i2i2i2-22-2000000002-2−2i2i000000000000000000000000000000000000002-2000−2i2i0
χ4422-2-222−2i2i−2i2i2-2-222-2-2-2−2i−2i2i2i20000-22-2−2i2i−2i2i−2i2i−2i−2i2i2i2-22-2000000002-2−2i2i00000000000000000000000000000000000000-220002i−2i0
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χ4822-2-22-12i−2i−2i2i-22-22-111-2−i−iii-1-22−2i2i1-112i−2ii−i−2i2i−i−iii-221-1-221-1i−i−2i2i1-1i−i11-1-1ii−i−i0000i3i3−i3−i3−3−3330000−i3i300003−300000000000000
χ4922-2-22-1−2i2i2i−2i-22-22-111-2ii−i−i-12-2−2i2i1-11−2i2i−ii2i−2iii−i−i-221-12-2-11i−i−2i2i1-1−ii-1-111ii−i−i0000−i3−i3i3i3−3−3330000−i3i30000−3300000000000000
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χ5122-2-22-1−2i2i2i−2i-22-22-111-2ii−i−i-1-222i−2i1-11−2i2i−ii2i−2iii−i−i-221-1-221-1−ii2i−2i1-1−ii11-1-1−i−iii0000−i3−i3i3i3−3−3330000i3−i300003−300000000000000
χ5222-2-22-1−2i2i2i−2i-22-22-111-2ii−i−i-1-222i−2i1-11−2i2i−ii2i−2iii−i−i-221-1-221-1−ii2i−2i1-1−ii11-1-1−i−iii0000i3i3−i3−i333−3−30000−i3i30000−3300000000000000
χ5322-2-2-122i−2i−2i2i-221-12-2-212i2i−2i−2i-12-22i−2i1-11−ii−2i2ii−i−i−iii1-1-22-112-22i−2i−ii1-1i−i-1-111−i−iii000000000000000000−i3i300003−3−i3i33−300000000
χ5422-2-2-122i−2i−2i2i-221-12-2-212i2i−2i−2i-12-22i−2i1-11−ii−2i2ii−i−i−iii1-1-22-112-22i−2i−ii1-1i−i-1-111−i−iii000000000000000000i3−i30000−33i3−i3−3300000000
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χ8344-4-4-2-2−4i4i−4i4i4-42-2-22222i2i−2i−2i10000-11-12i−2i2i−2i2i−2i−i−iii-22-22000000001-1−ii3-3-33−3i3i3i−3i00000000000000000000000000000000000000
χ8444-4-4-2-2−4i4i−4i4i4-42-2-22222i2i−2i−2i10000-11-12i−2i2i−2i2i−2i−i−iii-22-22000000001-1−ii-333-33i−3i−3i3i00000000000000000000000000000000000000
χ854-44-4440000004-4-4-44-40000400004-4-40000000000000000000000000000000000−2i22i200−2i22i2−2i22i2000000000000000000000000000000
χ864-44-4440000004-4-4-44-40000400004-4-400000000000000000000000000000000002i2−2i2002i2−2i22i2−2i2000000000000000000000000000000
χ874-44-44-20000004-422-2-4−2i32i3−2i32i3-20000-222000000−2i32i3−2i32i3000000000000000000000000−2i22i200i2−i2i2−i26−66−600000000000000000000000000
χ884-44-44-20000004-422-2-4−2i32i3−2i32i3-20000-222000000−2i32i3−2i32i30000000000000000000000002i2−2i200−i2i2−i2i2−66−6600000000000000000000000000
χ894-44-44-20000004-422-2-42i3−2i32i3−2i3-20000-2220000002i3−2i32i3−2i3000000000000000000000000−2i22i200i2−i2i2−i2−66−6600000000000000000000000000
χ904-44-44-20000004-422-2-42i3−2i32i3−2i3-20000-2220000002i3−2i32i3−2i30000000000000000000000002i2−2i200−i2i2−i2i26−66−600000000000000000000000000
χ914-4-4444000000-4-4-44-44000040000-4-4400000000000000000000000000000000000022−22000022−22−222200000000000000000000000000
χ924-4-4444000000-4-4-44-44000040000-4-44000000000000000000000000000000000000−22220000−222222−2200000000000000000000000000
χ934-4-444-2000000-4-42-22423−23−2323-2000022-200000023−23−23230000000000000000000000000022−226−6−66−222−200000000000000000000000000
χ944-4-444-2000000-4-42-22423−23−2323-2000022-200000023−23−232300000000000000000000000000−2222−666−62−2−2200000000000000000000000000
χ954-4-444-2000000-4-42-224−232323−23-2000022-2000000−232323−230000000000000000000000000022−22−666−6−222−200000000000000000000000000
χ964-4-444-2000000-4-42-224−232323−23-2000022-2000000−232323−2300000000000000000000000000−22226−6−662−2−2200000000000000000000000000
χ978-88-8-48000000-44-8-8840000-40000-444000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-8-4-4000000-4444-44−4i34i3−4i34i3200002-2-20000002i3−2i32i3−2i300000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-4000000-4444-444i3−4i34i3−4i3200002-2-2000000−2i32i3−2i32i300000000000000000000000000000000000000000000000000000000000000
χ1008-8-88-4800000044-88-8-40000-4000044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-4000000444-44-443−43−434320000-2-22000000−232323−2300000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4000000444-44-4−434343−4320000-2-2200000023−23−232300000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).