Finite Group Databasebeta

← Group #11898319

Character table — Group #11898319

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222222244444444444444444444444444488888888888888888812121212121212121212121218181818242424242424242424242424242424242424363636363636
order1222334444444466666634446661212121212121212121212121212121212121212121212121212121212121212121212121212444412121212121212128888222444666666121212121212888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111-1-1-1-11111111111-1-11111111-1-1-1-111-1-1-1-11111111-1-11-1-11111-1-1-1-1-1-1-1-111111111111111111-1-11-1-111-1-1-1-111-1-1-1-111-1-1-1-1
χ611111111-1-1-1-11111111111-1-11111111-1-1-1-111-1-1-1-11111111-1-11-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-11111-1-11111
χ711111111-1-1-1-11111111111-1-11111111-1-1-1-111-1-1-1-11111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-11111
χ811111111-1-1-1-11111111111-1-11111111-1-1-1-111-1-1-1-11111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-1-11111-1-1111111-1-1-1-1
χ9111111-1-111-1-1111111111-11-111111-1-111-1-1-1-111-1-1111111-11-1-11-1-1-1-1-11111-1-1-1-11111111111111111-11-1-11-1-1-111-1-1-1-111-1-1-1-111-1-1
χ10111111-1-111-1-1111111111-11-111111-1-111-1-1-1-111-1-1111111-11-1-11-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11-11-11-1-111-1-111-1-11111-1-111
χ11111111-1-111-1-1111111111-11-111111-1-111-1-1-1-111-1-1111111-11-1-11-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-11-11-111-1-111-1-111-1-111-1-111
χ12111111-1-111-1-1111111111-11-111111-1-111-1-1-1-111-1-1111111-11-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-1111-1-11111-1-111-1-111-1-1
χ13111111-1-1-1-111111111111-1-1111111-1-1-1-111-1-1-1-111111111-1-11-1-11-1-1-1-1-1-1-1-111111111111111111111-1-11-1-11-1-1-1-111-1-1-1-111-1-1-1-111
χ14111111-1-1-1-111111111111-1-1111111-1-1-1-111-1-1-1-111111111-1-11-1-11-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1111111-1-11111-1-1
χ15111111-1-1-1-111111111111-1-1111111-1-1-1-111-1-1-1-111111111-1-11-1-11-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-1-1-111111-1-1-1-1-1-1111111-1-1
χ16111111-1-1-1-111111111111-1-1111111-1-1-1-111-1-1-1-111111111-1-11-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-111-11111-1-11111-1-1-1-1-1-111
χ17222222222222-2-22222222-2-2-2222-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-222-2-20000000000000000000000000000000000000000
χ1822222222-2-2-2-2-2-22222222-222222-2-222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-222-22222-2-2-2-222-2-2220000000000000000000000000000000000000000
χ19222222-2-222-2-2-2-222222222-22222-2-2-2-222-2-2-2-222-2-2-2-2-2-2-2-22-222-22-2-22222-2-2-2-2220000000000000000000000000000000000000000
χ20222222-2-2-2-222-2-2222222222-2222-2-2-2-2-2-222-2-2-2-222-2-2-2-2-2-222-222-2-2-222-2-22222-2-20000000000000000000000000000000000000000
χ2122222-122222222-12-12-12-1222-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12200-1-1-1-100000000222000-1-1-1-1-1-1000000000000
χ2222222-122222222-12-12-12-1222-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-200111100000000-2-2-2000111111000000000000
χ2322222-1222222-2-2-12-12-12-1-2-2-2-1-1-111222222-1-1-1-1-1-1-2-21111111-2-2-2-1-111-1-111-1-1110000−i3−i3i3i300000000000000−i3i3−i3i3−i3i3000000000000
χ2422222-1222222-2-2-12-12-12-1-2-2-2-1-1-111222222-1-1-1-1-1-1-2-21111111-2-2-2-1-111-1-111-1-1110000i3i3−i3−i300000000000000i3−i3i3−i3i3−i3000000000000
χ2522222-122-2-2-2-222-12-12-12-12-2-2-1-1-1-1-122-2-2-2-2-1-1111122-1-1-1-1-1112-2-2-1-1-1-1111111112200-1-1-1-1000000002-2-2000-1-11111000000000000
χ2622222-122-2-2-2-222-12-12-12-12-2-2-1-1-1-1-122-2-2-2-2-1-1111122-1-1-1-1-1112-2-2-1-1-1-111111111-2-200111100000000-22200011-1-1-1-1000000000000
χ2722222-122-2-2-2-2-2-2-12-12-12-1-222-1-1-11122-2-2-2-2-1-11111-2-211111-1-1-222-1-11111-1-111-1-10000−i3−i3i3i300000000000000−i3i3i3−i3i3−i3000000000000
χ2822222-122-2-2-2-2-2-2-12-12-12-1-222-1-1-11122-2-2-2-2-1-11111-2-211111-1-1-222-1-11111-1-111-1-10000i3i3−i3−i300000000000000i3−i3−i3i3−i3i3000000000000
χ2922222-1-2-222-2-222-12-12-12-1-22-2-1-1-1-1-1-2-222-2-211-1-11122-1-1-1-11-11-22-21111-1-1-1-111112200-1-1-1-100000000-22-200011-1-111000000000000
χ3022222-1-2-222-2-222-12-12-12-1-22-2-1-1-1-1-1-2-222-2-211-1-11122-1-1-1-11-11-22-21111-1-1-1-11111-2-2001111000000002-22000-1-111-1-1000000000000
χ3122222-1-2-222-2-2-2-2-12-12-12-12-22-1-1-111-2-222-2-211-1-111-2-21111-11-12-2211-1-1-1-11111-1-10000−i3−i3i3i300000000000000i3−i3−i3i3i3−i3000000000000
χ3222222-1-2-222-2-2-2-2-12-12-12-12-22-1-1-111-2-222-2-211-1-111-2-21111-11-12-2211-1-1-1-11111-1-10000i3i3−i3−i300000000000000−i3i3i3−i3−i3i3000000000000
χ3322222-1-2-2-2-22222-12-12-12-1-2-22-1-1-1-1-1-2-2-2-2221111-1-122-1-1-1-111-1-2-2211111111-1-1-1-12200-1-1-1-100000000-2-220001111-1-1000000000000
χ3422222-1-2-2-2-22222-12-12-12-1-2-22-1-1-1-1-1-2-2-2-2221111-1-122-1-1-1-111-1-2-2211111111-1-1-1-1-2-20011110000000022-2000-1-1-1-111000000000000
χ3522222-1-2-2-2-222-2-2-12-12-12-122-2-1-1-111-2-2-2-2221111-1-1-2-21111-1-1122-211-1-111-1-1-1-1110000−i3−i3i3i300000000000000i3−i3i3−i3−i3i3000000000000
χ3622222-1-2-2-2-222-2-2-12-12-12-122-2-1-1-111-2-2-2-2221111-1-1-2-21111-1-1122-211-1-111-1-1-1-1110000i3i3−i3−i300000000000000−i3i3−i3i3i3−i3000000000000
χ372222-12222222222-12-12-1-1222-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100220000-1-1-1-10000000222000000-1-1-1-1-1-1000000
χ382222-12222222222-12-12-1-1222-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2000011110000000-2-2-2000000111111000000
χ392222-12222222-2-22-12-12-1-1-2-2-2-1-1-1-2-2-1-1-1-1-1-1222222111111-2-2-2111-1-111-1-111-1-11100000000−i3−i3i3i30000000000000000−i3i3−i3i3−i3i3000000
χ402222-12222222-2-22-12-12-1-1-2-2-2-1-1-1-2-2-1-1-1-1-1-1222222111111-2-2-2111-1-111-1-111-1-11100000000i3i3−i3−i30000000000000000i3−i3i3−i3i3−i3000000
χ412222-1222-2-2-2-2222-12-12-1-12-2-2-1-1-122-1-1111122-2-2-2-2-1-1-1-1-1-12-2-2-111-1-1-1-11111111100220000-1-1-1-100000002-2-2000000-1-11111000000
χ422222-1222-2-2-2-2222-12-12-1-12-2-2-1-1-122-1-1111122-2-2-2-2-1-1-1-1-1-12-2-2-111-1-1-1-11111111100-2-2000011110000000-22200000011-1-1-1-1000000
χ432222-1222-2-2-2-2-2-22-12-12-1-1-222-1-1-1-2-2-1-1111122-2-2-2-2111111-2221-1-1-1-11111-1-111-1-100000000−i3−i3i3i30000000000000000−i3i3i3−i3i3−i3000000
χ442222-1222-2-2-2-2-2-22-12-12-1-1-222-1-1-1-2-2-1-1111122-2-2-2-2111111-2221-1-1-1-11111-1-111-1-100000000i3i3−i3−i30000000000000000i3−i3−i3i3−i3i3000000
χ452222-12-2-222-2-2222-12-12-1-1-22-2-1-1-12211-1-111-2-222-2-2-1-1-1-1-1-1-22-21-111111-1-1-1-1111100220000-1-1-1-10000000-22-200000011-1-111000000
χ462222-12-2-222-2-2222-12-12-1-1-22-2-1-1-12211-1-111-2-222-2-2-1-1-1-1-1-1-22-21-111111-1-1-1-1111100-2-20000111100000002-22000000-1-111-1-1000000
χ472222-12-2-222-2-2-2-22-12-12-1-12-22-1-1-1-2-211-1-111-2-222-2-21111112-22-11-111-1-1-1-11111-1-100000000−i3−i3i3i30000000000000000i3−i3−i3i3i3−i3000000
χ482222-12-2-222-2-2-2-22-12-12-1-12-22-1-1-1-2-211-1-111-2-222-2-21111112-22-11-111-1-1-1-11111-1-100000000i3i3−i3−i30000000000000000−i3i3i3−i3−i3i3000000
χ492222-12-2-2-2-222222-12-12-1-1-2-22-1-1-1221111-1-1-2-2-2-222-1-1-1-1-1-1-2-2211-111111111-1-1-1-100220000-1-1-1-10000000-2-220000001111-1-1000000
χ502222-12-2-2-2-222222-12-12-1-1-2-22-1-1-1221111-1-1-2-2-2-222-1-1-1-1-1-1-2-2211-111111111-1-1-1-100-2-200001111000000022-2000000-1-1-1-111000000
χ512222-12-2-2-2-222-2-22-12-12-1-122-2-1-1-1-2-21111-1-1-2-2-2-22211111122-2-1-1111-1-111-1-1-1-11100000000−i3−i3i3i30000000000000000i3−i3i3−i3−i3i3000000
χ522222-12-2-2-2-222-2-22-12-12-1-122-2-1-1-1-2-21111-1-1-2-2-2-22211111122-2-1-1111-1-111-1-1-1-11100000000i3i3−i3−i30000000000000000−i3i3−i3i3i3−i3000000
χ5322-2-2222-22-22-200-22-2-22-22000-22-2002-22-22-22-22-22-20000000000002-2002-2002-200000000000000−i2−i2i2i2000000000000000000−i2i2−i2i2−i2i2
χ5422-2-2222-22-22-200-22-2-22-22000-22-2002-22-22-22-22-22-20000000000002-2002-2002-200000000000000i2i2−i2−i2000000000000000000i2−i2i2−i2i2−i2
χ5522-2-2222-2-22-2200-22-2-22-22000-22-2002-2-22-222-2-22-220000000000002-200-2200-2200000000000000−i2−i2i2i2000000000000000000−i2i2i2−i2i2−i2
χ5622-2-2222-2-22-2200-22-2-22-22000-22-2002-2-22-222-2-22-220000000000002-200-2200-2200000000000000i2i2−i2−i2000000000000000000i2−i2−i2i2−i2i2
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χ6022-2-222-22-222-200-22-2-22-22000-22-200-22-222-2-22-222-2000000000000-2200-22002-200000000000000i2i2−i2−i2000000000000000000−i2i2−i2i2i2−i2
χ612-2-22220000002-22-2-2-2-2220002-2-22-20000000000002-222-2-20000000000000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2-22-2000000000000000000000000
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χ8444-4-4-2-24-4-44-44002-222-221000-11-100-222-22-2-222-22-200−3i3i−3i3i0000001-1−3i3i-113i−3i-113i−3i0000000000000000000000000000000000000000
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χ8744-4-4-2-2-44-444-4002-222-221000-11-1002-22-2-222-22-2-22003i−3i3i−3i000000-11−3i3i-11−3i3i1-13i−3i0000000000000000000000000000000000000000
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χ924-4-444-20000004-4-2-42-424-2000-222-220000000000004-4-2-2220000000000000000004i−4i00−2i2i−2i2i00000000000000000000000000000000
χ934-4-444-20000004-4-2-42-424-2000-222-220000000000004-4-2-222000000000000000000−4i4i002i−2i2i−2i00000000000000000000000000000000
χ944-4-444-2000000-44-2-42-424-2000-2222-2000000000000-4422-2-2000000000000000000000023−23−232300000000000000000000000000000000
χ954-4-444-2000000-44-2-42-424-2000-2222-2000000000000-4422-2-20000000000000000000000−232323−2300000000000000000000000000000000
χ964-4-44-240000004-442-42-4-2-2000-2224-4000000000000-22-2-222000000000000000000004i−4i0000−2i2i−2i2i0000000000000000000000000000
χ974-4-44-240000004-442-42-4-2-2000-2224-4000000000000-22-2-22200000000000000000000−4i4i00002i−2i2i−2i0000000000000000000000000000
χ984-4-44-24000000-4442-42-4-2-2000-222-440000000000002-222-2-20000000000000000000000000023−23−23230000000000000000000000000000
χ994-4-44-24000000-4442-42-4-2-2000-222-440000000000002-222-2-200000000000000000000000000−232323−230000000000000000000000000000
χ1008-88-88-4000000004-8-484-8-400044-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-8-4800000000-848-4-84-400044-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-40000000044-4-4442000-2-2200000000000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-40000000044-4-4442000-2-220000000000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-40000008-8-44444-420002-2-2-44000000000000-4422-2-20000000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4000000-88-44444-420002-2-24-40000000000004-4-2-2220000000000000000000000000000000000000000000000000000000000

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