Finite Group Databasebeta

← Group #11895491

Character table — Group #11895491

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222222244444444444444444444444444488888888888888888812121212121212121212121218181818242424242424242424242424242424242424363636363636
order1222334444444466666634446661212121212121212121212121212121212121212121212121212121212121212121212121212444412121212121212128888444444121212121212121212121212888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ511111111-1-1-1-11111111111-1-11111111-1-1-1-1-1-1-1-1111111111-1-11-1-11111-1-1-1-1-1-1-1-111111111111111111-1-11-1-111-1-1-1-111-1-1-1-111-1-1-1-1
χ611111111-1-1-1-11111111111-1-11111111-1-1-1-1-1-1-1-1111111111-1-11-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-11111
χ711111111-1-1-1-11111111111-1-11111111-1-1-1-1-1-1-1-1111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-1-1-11111-1-1-1-1-1-11111-1-11111
χ811111111-1-1-1-11111111111-1-11111111-1-1-1-1-1-1-1-1111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-1-11111-1-1111111-1-1-1-1
χ9111111-1-111-1-1111111111-11-1111-1-1-1-11111-1-1-1-111111111-11-1-11-1-1-1-1-11111-1-1-1-11111111111111111-11-1-11-1-1-111-1-1-1-111-1-1-1-111-1-1
χ10111111-1-111-1-1111111111-11-1111-1-1-1-11111-1-1-1-111111111-11-1-11-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-11-11-111-1-111-1-111-1-111-1-111
χ11111111-1-111-1-1111111111-11-1111-1-1-1-11111-1-1-1-111111111-11-1-11-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-11-11-11-1-111-1-111-1-11111-1-111
χ12111111-1-111-1-1111111111-11-1111-1-1-1-11111-1-1-1-111111111-11-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-1111-1-11111-1-111-1-111-1-1
χ13111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-1111111111111-1-11-1-11-1-1-1-1-1-1-1-111111111111111111111-1-11-1-11-1-1-1-111-1-1-1-111-1-1-1-111
χ14111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-1111111111111-1-11-1-11-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111-1-1-111111-1-1-1-1-1-1111111-1-1
χ15111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-1111111111111-1-11-1-11-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1111111-1-11111-1-1
χ16111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-1111111111111-1-11-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-111-11111-1-11111-1-1-1-1-1-111
χ17222222222222-2-22222222-2-2-2222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-222-2-20000000000000000000000000000000000000000
χ1822222222-2-2-2-2-2-22222222-2222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-22222-2-2-2-222-2-2220000000000000000000000000000000000000000
χ19222222-2-222-2-2-2-222222222-22222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22-222-22-2-22222-2-2-2-2220000000000000000000000000000000000000000
χ20222222-2-2-2-222-2-2222222222-2222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222-222-2-2-222-2-22222-2-20000000000000000000000000000000000000000
χ2122222-1222222222-12-1-12-1222-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100220000-1-1-1-10000222000-1-1-1-1-1-1000000000000
χ2222222-1222222222-12-1-12-1222-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100-2-2000011110000-2-2-2000111111000000000000
χ2322222-1222222-2-22-12-1-12-1-2-2-2-1-1-122-1-122-1-122-1-1-2-2111111111-2-2-2-1-111-1-111-1-11100000000−i3−i3i3i30000000000−i3i3−i3i3−i3i3000000000000
χ2422222-1222222-2-22-12-1-12-1-2-2-2-1-1-122-1-122-1-122-1-1-2-2111111111-2-2-2-1-111-1-111-1-11100000000i3i3−i3−i30000000000i3−i3i3−i3i3−i3000000000000
χ2522222-122-2-2-2-2222-12-1-12-12-2-2-1-1-122-1-1-2-211-2-21122-1-1-1-1-1-1-1112-2-2-1-1-1-11111111100220000-1-1-1-100002-2-2000-1-11111000000000000
χ2622222-122-2-2-2-2222-12-1-12-12-2-2-1-1-122-1-1-2-211-2-21122-1-1-1-1-1-1-1112-2-2-1-1-1-11111111100-2-2000011110000-22200011-1-1-1-1000000000000
χ2722222-122-2-2-2-2-2-22-12-1-12-1-222-1-1-122-1-1-2-211-2-211-2-21111111-1-1-222-1-11111-1-111-1-100000000−i3−i3i3i30000000000−i3i3i3−i3i3−i3000000000000
χ2822222-122-2-2-2-2-2-22-12-1-12-1-222-1-1-122-1-1-2-211-2-211-2-21111111-1-1-222-1-11111-1-111-1-100000000i3i3−i3−i30000000000i3−i3−i3i3−i3i3000000000000
χ2922222-1-2-222-2-2222-12-1-12-1-22-2-1-1-1-2-21122-1-1-2-21122-1-1-1-1-1-11-11-22-21111-1-1-1-1111100220000-1-1-1-10000-22-200011-1-111000000000000
χ3022222-1-2-222-2-2222-12-1-12-1-22-2-1-1-1-2-21122-1-1-2-21122-1-1-1-1-1-11-11-22-21111-1-1-1-1111100-2-20000111100002-22000-1-111-1-1000000000000
χ3122222-1-2-222-2-2-2-22-12-1-12-12-22-1-1-1-2-21122-1-1-2-211-2-2111111-11-12-2211-1-1-1-11111-1-100000000−i3−i3i3i30000000000i3−i3−i3i3i3−i3000000000000
χ3222222-1-2-222-2-2-2-22-12-1-12-12-22-1-1-1-2-21122-1-1-2-211-2-2111111-11-12-2211-1-1-1-11111-1-100000000i3i3−i3−i30000000000−i3i3i3−i3−i3i3000000000000
χ3322222-1-2-2-2-222222-12-1-12-1-2-22-1-1-1-2-211-2-21122-1-122-1-1-1-1-1-111-1-2-2211111111-1-1-1-100220000-1-1-1-10000-2-220001111-1-1000000000000
χ3422222-1-2-2-2-222222-12-1-12-1-2-22-1-1-1-2-211-2-21122-1-122-1-1-1-1-1-111-1-2-2211111111-1-1-1-100-2-200001111000022-2000-1-1-1-111000000000000
χ3522222-1-2-2-2-222-2-22-12-1-12-122-2-1-1-1-2-211-2-21122-1-1-2-2111111-1-1122-211-1-111-1-1-1-11100000000−i3−i3i3i30000000000i3−i3i3−i3−i3i3000000000000
χ3622222-1-2-2-2-222-2-22-12-1-12-122-2-1-1-1-2-211-2-21122-1-1-2-2111111-1-1122-211-1-111-1-1-1-11100000000i3i3−i3−i30000000000−i3i3−i3i3i3−i3000000000000
χ372222-1222222222-12-122-1-1222-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12200-1-1-1-100000000000222000000-1-1-1-1-1-1000000
χ382222-1222222222-12-122-1-1222-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200111100000000000-2-2-2000000111111000000
χ392222-12222222-2-2-12-122-1-1-2-2-2-1-1-1-1-122-1-122-1-12211-2-21111-2-2-2111-1-111-1-111-1-1110000−i3−i3i3i300000000000000000000−i3i3−i3i3−i3i3000000
χ402222-12222222-2-2-12-122-1-1-2-2-2-1-1-1-1-122-1-122-1-12211-2-21111-2-2-2111-1-111-1-111-1-1110000i3i3−i3−i300000000000000000000i3−i3i3−i3i3−i3000000
χ412222-1222-2-2-2-222-12-122-1-12-2-2-1-1-1-1-12211-2-211-2-2-1-122-1-1-1-12-2-2-111-1-1-1-1111111112200-1-1-1-1000000000002-2-2000000-1-11111000000
χ422222-1222-2-2-2-222-12-122-1-12-2-2-1-1-1-1-12211-2-211-2-2-1-122-1-1-1-12-2-2-111-1-1-1-111111111-2-200111100000000000-22200000011-1-1-1-1000000
χ432222-1222-2-2-2-2-2-2-12-122-1-1-222-1-1-1-1-12211-2-211-2-211-2-21111-2221-1-1-1-11111-1-111-1-10000−i3−i3i3i300000000000000000000−i3i3i3−i3i3−i3000000
χ442222-1222-2-2-2-2-2-2-12-122-1-1-222-1-1-1-1-12211-2-211-2-211-2-21111-2221-1-1-1-11111-1-111-1-10000i3i3−i3−i300000000000000000000i3−i3−i3i3−i3i3000000
χ452222-12-2-222-2-222-12-122-1-1-22-2-1-1-111-2-2-1-12211-2-2-1-122-1-1-1-1-22-21-111111-1-1-1-111112200-1-1-1-100000000000-22-200000011-1-111000000
χ462222-12-2-222-2-222-12-122-1-1-22-2-1-1-111-2-2-1-12211-2-2-1-122-1-1-1-1-22-21-111111-1-1-1-11111-2-2001111000000000002-22000000-1-111-1-1000000
χ472222-12-2-222-2-2-2-2-12-122-1-12-22-1-1-111-2-2-1-12211-2-211-2-211112-22-11-111-1-1-1-11111-1-10000−i3−i3i3i300000000000000000000i3−i3−i3i3i3−i3000000
χ482222-12-2-222-2-2-2-2-12-122-1-12-22-1-1-111-2-2-1-12211-2-211-2-211112-22-11-111-1-1-1-11111-1-10000i3i3−i3−i300000000000000000000−i3i3i3−i3−i3i3000000
χ492222-12-2-2-2-22222-12-122-1-1-2-22-1-1-111-2-211-2-2-1-122-1-122-1-1-1-1-2-2211-111111111-1-1-1-12200-1-1-1-100000000000-2-220000001111-1-1000000
χ502222-12-2-2-2-22222-12-122-1-1-2-22-1-1-111-2-211-2-2-1-122-1-122-1-1-1-1-2-2211-111111111-1-1-1-1-2-20011110000000000022-2000000-1-1-1-111000000
χ512222-12-2-2-2-222-2-2-12-122-1-122-2-1-1-111-2-211-2-2-1-12211-2-2111122-2-1-1111-1-111-1-1-1-1110000−i3−i3i3i300000000000000000000i3−i3i3−i3−i3i3000000
χ522222-12-2-2-2-222-2-2-12-122-1-122-2-1-1-111-2-211-2-2-1-12211-2-2111122-2-1-1111-1-111-1-1-1-1110000i3i3−i3−i300000000000000000000−i3i3−i3i3i3−i3000000
χ5322-2-2222-22-22-20022-2-2-2-22000-22-22-22-22-22-22-22-2000000000000002-2002-2002-20000000000000022−2−20000000000000000002−22−22−2
χ5422-2-2222-22-22-20022-2-2-2-22000-22-22-22-22-22-22-22-2000000000000002-2002-2002-200000000000000−2−222000000000000000000−22−22−22
χ5522-2-2222-2-22-220022-2-2-2-22000-22-22-22-2-22-22-22-22000000000000002-200-2200-220000000000000022−2−20000000000000000002−2−22−22
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χ612-22-222000000-22-2-22-22-220002-2-20000000000002-22-222-2-20000000000000000002-22i−2i2-22-22i−2i2i−2i2i−2i2i−2i000000000000000000000000
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χ8644-4-4-2-2-444-4-4400-2-222221000-11-12-22-2-22-222-22-20000−3i3i−3i3i000000-113i−3i1-1−3i3i-113i−3i0000000000000000000000000000000000000000
χ8744-4-4-2-2-44-444-400-2-222221000-11-12-22-22-22-2-22-2200003i−3i3i−3i000000-11−3i3i-11−3i3i1-13i−3i0000000000000000000000000000000000000000
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χ944-44-4-240000004-42-4-2-442-2000-2220000000000002-2-4422-2-20000000000000000000000−2i32i32i3−2i300000000000000000000000000000000
χ954-44-4-240000004-42-4-2-442-2000-2220000000000002-2-4422-2-200000000000000000000002i3−2i3−2i32i300000000000000000000000000000000
χ964-44-4-24000000-442-4-2-442-2000-222000000000000-224-4-2-2220000000000000000004-400-22-2200000000000000000000000000000000
χ974-44-4-24000000-442-4-2-442-2000-222000000000000-224-4-2-222000000000000000000-44002-22-200000000000000000000000000000000
χ984-4-444400000000-4-4-44-444000-4-4400000000000000000000000000000000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ994-4-444400000000-4-4-44-444000-4-44000000000000000000000000000000000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ1008-88-8-4-40000008-844-44-4420002-2-20000000000004-44-4-2-2220000000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-4000000-8844-44-4420002-2-2000000000000-44-4422-2-20000000000000000000000000000000000000000000000000000000000
χ1028-8-888-400000000-84-8-448-400044-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-48000000004-848-8-4-400044-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-400000000444-44-42000-2-2200000000000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-400000000444-44-42000-2-220000000000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000

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