Finite Group Databasebeta

← Group #11876910

Character table — Group #11876910

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order1222334444446666661212121236661212121212121212121212121212444424666666661212121212121212121212122466888812121212121224446612121212121224242424888844
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
χ9111111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111111-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11-1-1111-1-111-1-111-1-111-1-1-11
χ10111111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111111-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-111-1-1111-1
χ11111111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111-11-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-11111-1-1-111-1-1-111-1-11111-1-111-1-11-1
χ12111111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111-11-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1111111-1-111-1-111-1-1-1-111-1-111-1-111-11
χ13111111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-11-111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1111-1
χ14111111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-11-111111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-111-111-1-1-111-1-111-1-11111-1-1-11
χ15111111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-111-1-111-1-11111-1-111-1-1-1-111-11
χ16111111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-111111111-1-111-1-1-1-1111-1-1111-1-111-1-1-1-11111-1-11-1
χ1722222222-2-2-2-2222222-2-2-2-22222-2-222-2-222-2-2-2-2-2-222-2-200000000000000-2-22200002-2220000-2-222-2-20000000000000000000000
χ1822222222-2-2-2-2222222-2-2-2-22222-2-222-2-222-2-2-2-2-2-2-2-22200000000000000-2-2220000-22-2-2000022-2-2220000000000000000000000
χ19222222-2-222-2-22222222222222222-2-2-2-2-2-22222-2-222-2-200000000000000-2-2-2-20000-22-2-20000-2-222220000000000000000000000
χ20222222-2-222-2-22222222222222222-2-2-2-2-2-22222-2-2-2-22200000000000000-2-2-2-200002-222000022-2-2-2-20000000000000000000000
χ2122222-1222222-1-12-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-100002222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000022220000002020-1-1-1-10000-1-1-1-1000000
χ2222222-1222222-1-12-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-100002222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-2-2-2000000-20-20111100001111000000
χ2322222-1222222-1-12-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-10000-2-2-2-211111111-2-2-1-1-1-1111100002222000000-20-2011110000-1-1-1-1000000
χ2422222-1222222-1-12-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-10000-2-2-2-211111111-2-2-1-1-1-111110000-2-2-2-20000002020-1-1-1-100001111000000
χ2522222-1-2-2-2-222-1-12-122-2-2-2-2-1-1-1-1111122-2-21111-1-100002-222-1-1-1-1-1-111-2-2-1-1111111000022-2-200000020-20-1-1110000-1-111000000
χ2622222-1-2-2-2-222-1-12-122-2-2-2-2-1-1-1-1111122-2-21111-1-100002-222-1-1-1-1-1-111-2-2-1-11111110000-2-222000000-202011-1-1000011-1-1000000
χ2722222-1-2-2-2-222-1-12-122-2-2-2-2-1-1-1-1111122-2-21111-1-10000-22-2-2111111-1-122-1-111-1-1-1-1000022-2-2000000-202011-1-10000-1-111000000
χ2822222-1-2-2-2-222-1-12-122-2-2-2-2-1-1-1-1111122-2-21111-1-10000-22-2-2111111-1-122-1-111-1-1-1-10000-2-22200000020-20-1-111000011-1-1000000
χ292222-1222222222-12-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-10000-1-1-1-1-1-102020000-1-1-1-10000000000
χ302222-1222222222-12-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222222-2-211-2-21111-2-211-1-1-1-1111122-1-10000-1-1-1-1-1-10-20-2000011110000000000
χ312222-1222222222-12-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-2-2-2-222-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-21100001111110-20-2000011110000000000
χ322222-1222222222-12-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-2-2-2-2-2-211-2-21111-2-211-1-1-1-11111-2-211000011111102020000-1-1-1-10000000000
χ332222-1222-2-2-2-222-12-1-11111-1-1-1-1-2-22211-1-11111-2-222-2-200−i3i300−i3−i3i3i300−i3i311-1-1−i3−i3i3i32-2-1-1000011-1-11100000000−i3i3−i3i30000000000
χ342222-1222-2-2-2-222-12-1-11111-1-1-1-1-2-22211-1-11111-2-222-2-200i3−i300i3i3−i3−i300i3−i311-1-1i3i3−i3−i32-2-1-1000011-1-11100000000i3−i3i3−i30000000000
χ352222-1222-2-2-2-222-12-1-11111-1-1-1-1-2-22211-1-11111-2-2-2-22200−i3i300−i3−i3i3i300−i3i311-1-1−i3−i3i3i3-22110000-1-111-1-100000000i3−i3i3−i30000000000
χ362222-1222-2-2-2-222-12-1-11111-1-1-1-1-2-22211-1-11111-2-2-2-22200i3−i300i3i3−i3−i300i3−i311-1-1i3i3−i3−i3-22110000-1-111-1-100000000−i3i3−i3i30000000000
χ372222-12-2-222-2-222-12-1-1-1-1-1-1-1-1-1-122-2-21111-1-1-1-1-2-222-2-200−i3i300−i3−i3i3i300i3−i31111i3i3−i3−i3-2211000011-1-1-1-100000000−i3i3i3−i30000000000
χ382222-12-2-222-2-222-12-1-1-1-1-1-1-1-1-1-122-2-21111-1-1-1-1-2-222-2-200i3−i300i3i3−i3−i300−i3i31111−i3−i3i3i3-2211000011-1-1-1-100000000i3−i3−i3i30000000000
χ392222-12-2-222-2-222-12-1-1-1-1-1-1-1-1-1-122-2-21111-1-1-1-1-2-2-2-22200−i3i300−i3−i3i3i300i3−i31111i3i3−i3−i32-2-1-10000-1-1111100000000i3−i3−i3i30000000000
χ402222-12-2-222-2-222-12-1-1-1-1-1-1-1-1-1-122-2-21111-1-1-1-1-2-2-2-22200i3−i300i3i3−i3−i300−i3i31111−i3−i3i3i32-2-1-10000-1-1111100000000−i3i3i3−i30000000000
χ412222-12-2-2-2-22222-12-1-11111-1-1-1-1-2-2-2-2-1-11111112222222-2-1-122-1-1-1-1-2-211-1-1111111-2-2110000-1-1-1-1110-2020000-1-1110000000000
χ422222-12-2-2-2-22222-12-1-11111-1-1-1-1-2-2-2-2-1-1111111222222-2211-2-2111122-1-1-1-111-1-1-1-1-2-2110000-1-1-1-111020-2000011-1-10000000000
χ432222-12-2-2-2-22222-12-1-11111-1-1-1-1-2-2-2-2-1-111111122-2-2-2-22-2-1-122-1-1-1-1-2-211-1-111111122-1-100001111-1-1020-2000011-1-10000000000
χ442222-12-2-2-2-22222-12-1-11111-1-1-1-1-2-2-2-2-1-111111122-2-2-2-2-2211-2-2111122-1-1-1-111-1-1-1-122-1-100001111-1-10-2020000-1-1110000000000
χ452-2-22222i−2i2i−2i2-22-2-2-22-22i2i−2i−2i22-2-22i−2i2i−2i2-22i−2i2i2i−2i−2i2-20000000000000000002-22i−2i00000000000000000000000000000000002-22i−2i00
χ462-2-22222i−2i2i−2i2-22-2-2-22-22i2i−2i−2i22-2-22i−2i2i−2i2-22i−2i2i2i−2i−2i2-20000000000000000002-22i−2i0000000000000000000000000000000000-22−2i2i00
χ472-2-22222i−2i−2i2i-222-2-2-22-2−2i−2i2i2i22-2-2−2i2i2i−2i-222i−2i−2i−2i2i2i-22000000000000000000-222i−2i000000002-22i−2i0000000000000000002-22i−2i000000
χ482-2-22222i−2i−2i2i-222-2-2-22-2−2i−2i2i2i22-2-2−2i2i2i−2i-222i−2i−2i−2i2i2i-22000000000000000000-222i−2i00000000-22−2i2i000000000000000000-22−2i2i000000
χ492-2-2222−2i2i2i−2i-222-2-2-22-22i2i−2i−2i22-2-22i−2i−2i2i-22−2i2i2i2i−2i−2i-22000000000000000000-22−2i2i000000002-2−2i2i0000000000000000002-2−2i2i000000
χ502-2-2222−2i2i2i−2i-222-2-2-22-22i2i−2i−2i22-2-22i−2i−2i2i-22−2i2i2i2i−2i−2i-22000000000000000000-22−2i2i00000000-222i−2i000000000000000000-222i−2i000000
χ512-2-2222−2i2i−2i2i2-22-2-2-22-2−2i−2i2i2i22-2-2−2i2i−2i2i2-2−2i2i−2i−2i2i2i2-20000000000000000002-2−2i2i00000000000000000000000000000000002-2−2i2i00
χ522-2-2222−2i2i−2i2i2-22-2-2-22-2−2i−2i2i2i22-2-2−2i2i−2i2i2-2−2i2i−2i−2i2i2i2-20000000000000000002-2−2i2i0000000000000000000000000000000000-222i−2i00
χ532-2-222-12i−2i−2i2i-22-11-212-2−2i−2i2i2i-1-111i−i−ii-222i−2iii−i−i1-100000000−i3i3−i3i3−i3i33−3001-1−ii3−33−300002-22i−2i0000000000−i3i33−30000-11−ii000000
χ542-2-222-12i−2i−2i2i-22-11-212-2−2i−2i2i2i-1-111i−i−ii-222i−2iii−i−i1-100000000−i3i3−i3i3−i3i33−3001-1−ii3−33−30000-22−2i2i0000000000i3−i3−3300001-1i−i000000
χ552-2-222-12i−2i−2i2i-22-11-212-2−2i−2i2i2i-1-111i−i−ii-222i−2iii−i−i1-100000000i3−i3i3−i3i3−i3−33001-1−ii−33−3300002-22i−2i0000000000i3−i3−330000-11−ii000000
χ562-2-222-12i−2i−2i2i-22-11-212-2−2i−2i2i2i-1-111i−i−ii-222i−2iii−i−i1-100000000i3−i3i3−i3i3−i3−33001-1−ii−33−330000-22−2i2i0000000000−i3i33−300001-1i−i000000
χ572-2-222-1−2i2i2i−2i-22-11-212-22i2i−2i−2i-1-111−iii−i-22−2i2i−i−iii1-100000000−i3i3−i3i3−i3i3−33001-1i−i−33−3300002-2−2i2i0000000000−i3i3−330000-11i−i000000
χ582-2-222-1−2i2i2i−2i-22-11-212-22i2i−2i−2i-1-111−iii−i-22−2i2i−i−iii1-100000000−i3i3−i3i3−i3i3−33001-1i−i−33−330000-222i−2i0000000000i3−i33−300001-1−ii000000
χ592-2-222-1−2i2i2i−2i-22-11-212-22i2i−2i−2i-1-111−iii−i-22−2i2i−i−iii1-100000000i3−i3i3−i3i3−i33−3001-1i−i3−33−300002-2−2i2i0000000000i3−i33−30000-11i−i000000
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χ634444-2-2444444-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-2-2-21111-2-2000044-2-2-2-21111-2-2-2-211111111000000000000000000000000000000000000
χ644444-2-2444444-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-2-2-21111-2-20000-4-42222-1-1-1-122221111-1-1-1-1000000000000000000000000000000000000
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χ704444-2-2-4-4-4-444-2-2-2-2-2-2222211112222-2-222-1-1-1-1-2-20000-442222-1-1-1-1-2-2-2-211-1-11111000000000000000000000000000000000000
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χ834-4-444-24i−4i4i−4i4-4-22-424-44i4i−4i−4i-2-222−2i2i−2i2i4-44i−4i−2i−2i2i2i-22000000000000000000-22−2i2i0000000000000000000000000000000000000000
χ844-4-444-2−4i4i−4i4i4-4-22-424-4−4i−4i4i4i-2-2222i−2i2i−2i4-4−4i4i2i2i−2i−2i-22000000000000000000-222i−2i0000000000000000000000000000000000000000
χ854-4-44-244i−4i4i−4i4-44-42-4-22−2i−2i2i2i-2-2224i−4i4i−4i-22−2i2i−2i−2i2i2i4-4000000000000000000-22−2i2i0000000000000000000000000000000000000000
χ864-4-44-244i−4i−4i4i-444-42-4-222i2i−2i−2i-2-222−4i4i4i−4i2-2−2i2i2i2i−2i−2i-440000000000000000002-2−2i2i0000000000000000000000000000000000000000
χ874-4-44-24−4i4i4i−4i-444-42-4-22−2i−2i2i2i-2-2224i−4i−4i4i2-22i−2i−2i−2i2i2i-440000000000000000002-22i−2i0000000000000000000000000000000000000000
χ884-4-44-24−4i4i−4i4i4-44-42-4-222i2i−2i−2i-2-222−4i4i−4i4i-222i−2i2i2i−2i−2i4-4000000000000000000-222i−2i0000000000000000000000000000000000000000
χ894-4-44-2-24i−4i4i−4i4-4-2222-22−2i−2i2i2i11-1-1−2i2i−2i2i-22−2i2iii−i−i-2200000000003-3-3300001-1i−i3i−3i−3i3i000000000000000000000000000000000000
χ904-4-44-2-24i−4i4i−4i4-4-2222-22−2i−2i2i2i11-1-1−2i2i−2i2i-22−2i2iii−i−i-220000000000-333-300001-1i−i−3i3i3i−3i000000000000000000000000000000000000
χ914-4-44-2-24i−4i−4i4i-44-2222-222i2i−2i−2i11-1-12i−2i−2i2i2-2−2i2i−i−iii2-200000000−2i32i3i3−i3i3−i323−2300-11i−i−33−33000000000000000000000000000000000000
χ924-4-44-2-24i−4i−4i4i-44-2222-222i2i−2i−2i11-1-12i−2i−2i2i2-2−2i2i−i−iii2-2000000002i3−2i3−i3i3−i3i3−232300-11i−i3−33−3000000000000000000000000000000000000
χ934-4-44-2-2−4i4i4i−4i-44-2222-22−2i−2i2i2i11-1-1−2i2i2i−2i2-22i−2iii−i−i2-200000000−2i32i3i3−i3i3−i3−232300-11−ii3−33−3000000000000000000000000000000000000
χ944-4-44-2-2−4i4i4i−4i-44-2222-22−2i−2i2i2i11-1-1−2i2i2i−2i2-22i−2iii−i−i2-2000000002i3−2i3−i3i3−i3i323−2300-11−ii−33−33000000000000000000000000000000000000
χ954-4-44-2-2−4i4i−4i4i4-4-2222-222i2i−2i−2i11-1-12i−2i2i−2i-222i−2i−i−iii-2200000000003-3-3300001-1−ii−3i3i3i−3i000000000000000000000000000000000000
χ964-4-44-2-2−4i4i−4i4i4-4-2222-222i2i−2i−2i11-1-12i−2i2i−2i-222i−2i−i−iii-220000000000-333-300001-1−ii3i−3i−3i3i000000000000000000000000000000000000
χ9788-8-88-400000044-8-4-880000-44-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-8-4-4000000444-44-443−4343−432-22-200000000−2323−23230000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-4000000444-44-4−4343−43432-22-20000000023−2323−230000000000000000000000000000000000000000000000000000000000000000
χ1008-88-88-40000004-484-8-80000-444-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-40000004-4-4444−4i34i34i3−4i32-2-22000000002i3−2i3−2i32i30000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-40000004-4-44444i3−4i3−4i34i32-2-2200000000−2i32i32i3−2i30000000000000000000000000000000000000000000000000000000000000000

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