Finite Group Databasebeta

← Group #11876911

Character table — Group #11876911

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order122233444444666666121212123666121212121212121212121212121244442466666666121212121212121212121212246688881212121212124444121212121212121224242424888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-11-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111-11-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11-11-1-1-1-111111111-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1
χ9111111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111111-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-111-1-111-1-1-11
χ10111111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111111-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-111-1-111-1-1-1-111-1-1111-1
χ11111111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111-11-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-11-1
χ12111111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111-11-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1111111-1-11-1-11-1-111-1-111-1-111-1-111-11
χ13111111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-11-111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-11-1-111-1-11111-1-1-1-1111-1
χ14111111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-11-111111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-11
χ15111111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-111-111-111-1-111-1-111-1-1-1-111-11
χ16111111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-111111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11-1
χ1722222222-2-2-2-222222222222222-2-222-2-2-2-22222-2-222-2-200000000000000-2-2-2-200002-222000022-2-2-2-20000000000000000000000
χ1822222222-2-2-2-222222222222222-2-222-2-2-2-22222-2-2-2-22200000000000000-2-2-2-20000-22-2-20000-2-222220000000000000000000000
χ19222222-2-222-2-2222222-2-2-2-2222222-2-2-2-222-2-2-2-2-2-222-2-200000000000000-2-2220000-22-2-2000022-2-2220000000000000000000000
χ20222222-2-222-2-2222222-2-2-2-2222222-2-2-2-222-2-2-2-2-2-2-2-22200000000000000-2-22200002-2220000-2-222-2-20000000000000000000000
χ2122222-12222222-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-10000-1-1-1-1-1-102020000-1-1-1-10000000000
χ2222222-12222222-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222222-2-2-2-211111111-2-2-1-1-1-1111122-1-10000-1-1-1-1-1-10-20-2000011110000000000
χ2322222-12222222-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-2-2-2-22222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-21100001111110-20-2000011110000000000
χ2422222-12222222-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-211111111-2-2-1-1-1-11111-2-211000011111102020000-1-1-1-10000000000
χ2522222-122-2-2-2-22-122-1-1-1-1-1-1-1-1-1-1-2-2221111-1-1-1-1-2-222-2-20000−i3i3−i3−i3i3i3−i3i3001111−i3−i3i3i32-2-1-10000-1-1111100000000−i3i3−i3i30000000000
χ2622222-122-2-2-2-22-122-1-1-1-1-1-1-1-1-1-1-2-2221111-1-1-1-1-2-222-2-20000i3−i3i3i3−i3−i3i3−i3001111i3i3−i3−i32-2-1-10000-1-1111100000000i3−i3i3−i30000000000
χ2722222-122-2-2-2-22-122-1-1-1-1-1-1-1-1-1-1-2-2221111-1-1-1-1-2-2-2-2220000−i3i3−i3−i3i3i3−i3i3001111−i3−i3i3i3-2211000011-1-1-1-100000000i3−i3i3−i30000000000
χ2822222-122-2-2-2-22-122-1-1-1-1-1-1-1-1-1-1-2-2221111-1-1-1-1-2-2-2-2220000i3−i3i3i3−i3−i3i3−i3001111i3i3−i3−i3-2211000011-1-1-1-100000000−i3i3−i3i30000000000
χ2922222-1-2-222-2-22-122-1-11111-1-1-1-122-2-211-1-11111-2-222-2-20000−i3i3−i3−i3i3i3i3−i30011-1-1i3i3−i3−i3-22110000-1-111-1-100000000−i3i3i3−i30000000000
χ3022222-1-2-222-2-22-122-1-11111-1-1-1-122-2-211-1-11111-2-222-2-20000i3−i3i3i3−i3−i3−i3i30011-1-1−i3−i3i3i3-22110000-1-111-1-100000000i3−i3−i3i30000000000
χ3122222-1-2-222-2-22-122-1-11111-1-1-1-122-2-211-1-11111-2-2-2-2220000−i3i3−i3−i3i3i3i3−i30011-1-1i3i3−i3−i32-2-1-1000011-1-11100000000i3−i3−i3i30000000000
χ3222222-1-2-222-2-22-122-1-11111-1-1-1-122-2-211-1-11111-2-2-2-2220000i3−i3i3i3−i3−i3−i3i30011-1-1−i3−i3i3i32-2-1-1000011-1-11100000000−i3i3i3−i30000000000
χ3322222-1-2-2-2-2222-122-1-11111-1-1-1-1-2-2-2-2-1-11111112222222-222-1-1-1-1-1-111-2-2-1-1111111-2-2110000-1-1-1-111020-20000-1-1110000000000
χ3422222-1-2-2-2-2222-122-1-11111-1-1-1-1-2-2-2-2-1-1111111222222-22-2-2111111-1-122-1-111-1-1-1-1-2-2110000-1-1-1-1110-202000011-1-10000000000
χ3522222-1-2-2-2-2222-122-1-11111-1-1-1-1-2-2-2-2-1-111111122-2-2-2-22-222-1-1-1-1-1-111-2-2-1-111111122-1-100001111-1-10-202000011-1-10000000000
χ3622222-1-2-2-2-2222-122-1-11111-1-1-1-1-2-2-2-2-1-111111122-2-2-2-2-22-2-2111111-1-122-1-111-1-1-1-122-1-100001111-1-1020-20000-1-1110000000000
χ372222-12222222-12-1-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1000022-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1000022220000002020-1-1-1-10000-1-1-1-1000000
χ382222-12222222-12-1-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1000022-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000-20-20111100001111000000
χ392222-12222222-12-1-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-10000-2-211-2-21111-2-211-1-1-1-1111100002222000000-20-2011110000-1-1-1-1000000
χ402222-12222222-12-1-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-10000-2-211-2-21111-2-211-1-1-1-111110000-2-2-2-20000002020-1-1-1-100001111000000
χ412222-12-2-2-2-222-12-1-122-2-2-2-2-1-1-1-1111122-2-21111-1-100002-2-1-122-1-1-1-1-2-211-1-1111111000022-2-200000020-2011-1-10000-1-111000000
χ422222-12-2-2-2-222-12-1-122-2-2-2-2-1-1-1-1111122-2-21111-1-100002-2-1-122-1-1-1-1-2-211-1-11111110000-2-222000000-2020-1-111000011-1-1000000
χ432222-12-2-2-2-222-12-1-122-2-2-2-2-1-1-1-1111122-2-21111-1-10000-2211-2-2111122-1-1-1-111-1-1-1-1000022-2-2000000-2020-1-1110000-1-111000000
χ442222-12-2-2-2-222-12-1-122-2-2-2-2-1-1-1-1111122-2-21111-1-10000-2211-2-2111122-1-1-1-111-1-1-1-10000-2-22200000020-2011-1-1000011-1-1000000
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χ472-22-2222i−2i−2i2i-22-2-22-22-22i2i−2i−2i22-2-2−2i2i2i−2i-22−2i2i2i2i−2i−2i-22000000000000000000-22−2i2i000000002i−2i2-20000000000000000002i−2i2-2000000
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χ522-22-222−2i2i−2i2i2-2-2-22-22-2−2i−2i2i2i22-2-2−2i2i−2i2i2-2−2i2i−2i−2i2i2i2-20000000000000000002-2−2i2i0000000000000000000000000000000000−2i2i2-200
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χ854-44-4-2-24i−4i−4i4i-4422-22-22−2i−2i2i2i11-1-12i−2i−2i2i2-22i−2iii−i−i2-2000000−2i32i300i3−i3i3−i30023−23-11−ii−33−33000000000000000000000000000000000000
χ864-44-4-2-24i−4i−4i4i-4422-22-22−2i−2i2i2i11-1-12i−2i−2i2i2-22i−2iii−i−i2-20000002i3−2i300−i3i3−i3i300−2323-11−ii3−33−3000000000000000000000000000000000000
χ874-44-4-2-2−4i4i4i−4i-4422-22-222i2i−2i−2i11-1-1−2i2i2i−2i2-2−2i2i−i−iii2-2000000−2i32i300i3−i3i3−i300−2323-11i−i3−33−3000000000000000000000000000000000000
χ884-44-4-2-2−4i4i4i−4i-4422-22-222i2i−2i−2i11-1-1−2i2i2i−2i2-2−2i2i−i−iii2-20000002i3−2i300−i3i3−i3i30023−23-11i−i−33−33000000000000000000000000000000000000
χ894-44-4-2-2−4i4i−4i4i4-422-22-222i2i−2i−2i11-1-12i−2i2i−2i-222i−2i−i−iii-2200000000003-3-3300001-1−ii−3i3i3i−3i000000000000000000000000000000000000
χ904-44-4-2-2−4i4i−4i4i4-422-22-222i2i−2i−2i11-1-12i−2i2i−2i-222i−2i−i−iii-220000000000-333-300001-1−ii3i−3i−3i3i000000000000000000000000000000000000
χ914-4-44440000004-4-4-4-4400004-44-4000000000000004i−4i000000000000000000000000000000004i−4i00000000000000000000000000
χ924-4-44440000004-4-4-4-4400004-44-400000000000000−4i4i00000000000000000000000000000000−4i4i00000000000000000000000000
χ934-4-444-200000042-4-42-223−23−2323-22-220000000023−23−2323004i−4i00000000000000000000000000−2i32i30000−2i2i00000000000000000000000000
χ944-4-444-200000042-4-42-223−23−2323-22-220000000023−23−232300−4i4i000000000000000000000000002i3−2i300002i−2i00000000000000000000000000
χ954-4-444-200000042-4-42-2−232323−23-22-2200000000−232323−23004i−4i000000000000000000000000002i3−2i30000−2i2i00000000000000000000000000
χ964-4-444-200000042-4-42-2−232323−23-22-2200000000−232323−2300−4i4i00000000000000000000000000−2i32i300002i−2i00000000000000000000000000
χ9788-8-8-48000000484-4-8-80000-444-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-8-4-40000004-44-444−4i34i3−4i34i32-2-22000000002i3−2i32i3−2i30000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-40000004-44-4444i3−4i34i3−4i32-2-2200000000−2i32i3−2i32i30000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88-48000000-4-844-880000-44-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-4000000-44444-443−43−43432-22-200000000−232323−230000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4000000-44444-4−434343−432-22-20000000023−23−23230000000000000000000000000000000000000000000000000000000000000000

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