Finite Group Databasebeta

← Group #11887544

Character table — Group #11887544

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222222244444444444444444444444444488888888888888888812121212121212121212121218181818242424242424242424242424242424242424363636363636
order12222222334444666666344466666666666121212121212121212121212666612121212121212121212121212124444121212121212121288882444446612121212121212121212888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-11-1-111-1-111-1-1-1-11111-1-1-1-1-1-1
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
χ5111111-1-111-1-1111111111-11-111-1-111-1-1111-1-111-1-111111111-1-1-11-1-11-1-1-1-1-111-1-11111111111111111-1-11-11-1-1-1-1-111-1-111-1-1-1-111-1-1
χ6111111-1-111-1-1111111111-11-111-1-111-1-1111-1-111-1-111111111-1-1-11-1-11-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-11111-1-111
χ7111111-1-111-1-1111111111-11-111-1-111-1-1111-1-111-1-111111111-1-1-11-1-11-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11-1-111-111-1-1-1-11111-1-111-1-111
χ8111111-1-111-1-1111111111-11-111-1-111-1-1111-1-111-1-111111111-1-1-11-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-111111-1-111-1-111-1-111-1-1
χ91111-1-11111-1-1111111111-1-11-1-111-1-111111-1-111-1-1111111-1-111-1-11-1-11-1-1-1-1-1-1111111111111111111-1-1-11-11-1-1-1-1-1-111-1-111-1-1-1-111
χ101111-1-11111-1-1111111111-1-11-1-111-1-111111-1-111-1-1111111-1-111-1-11-1-11-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-11-111-1-1-111-1-11111-1-11111-1-1
χ111111-1-11111-1-1111111111-1-11-1-111-1-111111-1-111-1-1111111-1-111-1-11-1-11-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11-11-1-1111-1-111-1-1-1-1111111-1-1
χ121111-1-11111-1-1111111111-1-11-1-111-1-111111-1-111-1-1111111-1-111-1-11-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111-11-1111111-1-111-1-1-1-1-1-111
χ131111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-11-1-11-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1
χ141111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-11-1-11-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-11111-1-11111
χ151111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-11-1-11-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-11111
χ161111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-11-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111111111-1-1-1-1
χ17222222222222-2-22222222-2-2-22222222222222-2-222-2-2-2-2-2-22222-2-2-2-2-2-222-2-2-2-2-2-20000000000000000000000000000000000000000
χ18222222222-122222-1-12-12-12222222-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-12200-1-1-1-100000000202200-1-100-1-1-1-10000000000
χ19222222222-122222-1-12-12-12222222-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-2-200111100000000-20-2-200110011110000000000
χ20222222222-122-2-22-1-12-12-1-2-2-22222-1-1-1-1-1-1-12211-1-1-2-21111-1-1-1-1111-2-2-2-1-11111110000−i3−i3i3i300000000000000−i3i300−i3i3−i3i30000000000
χ21222222222-122-2-22-1-12-12-1-2-2-22222-1-1-1-1-1-1-12211-1-1-2-21111-1-1-1-1111-2-2-2-1-11111110000i3i3−i3−i300000000000000i3−i300i3−i3i3−i30000000000
χ2222222222-122222-122-12-1-1222-1-1-1-12222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-100220000-1-1-1-1000002002200-1-10000-1-1-1-1000000
χ2322222222-122222-122-12-1-1222-1-1-1-12222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-100-2-20000111100000-200-2-2001100001111000000
χ2422222222-1222-2-2-122-12-1-1-2-2-2-1-1-1-12222-1-1-1-1-1-2-222111111-1-1-1-1-2-2-2111-1-111111100000000−i3−i3i3i3000000000000−i3i30000−i3i3−i3i3000000
χ2522222222-1222-2-2-122-12-1-1-2-2-2-1-1-1-12222-1-1-1-1-1-2-222111111-1-1-1-1-2-2-2111-1-111111100000000i3i3−i3−i3000000000000i3−i30000i3−i3i3−i3000000
χ26222222-2-222-2-2-2-222222222-2222-2-222-2-2222-2-2-2-2-2-2-2-2-2-2-2-222-2-22-222-22-2-222-2-2220000000000000000000000000000000000000000
χ27222222-2-22-1-2-2222-1-12-12-1-22-222-2-2-1-111-1-1-1-2-2-1-11122-1-1-1-1-1-1111-11-22-21111-1-1112200-1-1-1-100000000-202-2001100-1-1110000000000
χ28222222-2-22-1-2-2222-1-12-12-1-22-222-2-2-1-111-1-1-1-2-2-1-11122-1-1-1-1-1-1111-11-22-21111-1-111-2-20011110000000020-2200-1-10011-1-10000000000
χ29222222-2-22-1-2-2-2-22-1-12-12-12-2222-2-2-1-111-1-1-1-2-21111-2-21111-1-111-11-12-2211-1-111-1-10000−i3−i3i3i300000000000000i3−i300−i3i3i3−i30000000000
χ30222222-2-22-1-2-2-2-22-1-12-12-12-2222-2-2-1-111-1-1-1-2-21111-2-21111-1-111-11-12-2211-1-111-1-10000i3i3−i3−i300000000000000−i3i300i3−i3−i3i30000000000
χ31222222-2-2-12-2-222-122-12-1-1-22-2-1-11122-2-2-1-1-11122-2-2-1-1-1-1-1-1-1-111-22-21-111111-1-11100220000-1-1-1-100000-2002-200110000-1-111000000
χ32222222-2-2-12-2-222-122-12-1-1-22-2-1-11122-2-2-1-1-11122-2-2-1-1-1-1-1-1-1-111-22-21-111111-1-11100-2-20000111100000200-2200-1-1000011-1-1000000
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χ34222222-2-2-12-2-2-2-2-122-12-1-12-22-1-11122-2-2-1-1-111-2-2-2-2111111-1-1112-22-11-111-1-111-1-100000000i3i3−i3−i3000000000000−i3i30000i3−i3−i3i3000000
χ352222-2-22222-2-2-2-2222222222-2-2-222-2-222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-222-2-2-22222-2-20000000000000000000000000000000000000000
χ362222-2-2222-1-2-2222-1-12-12-1-2-22-2-22211-1-1-1-1-1-2-2-1-11122-1-1-1-111-1-111-1-2-22111111-1-12200-1-1-1-100000000-20-2200110011-1-10000000000
χ372222-2-2222-1-2-2222-1-12-12-1-2-22-2-22211-1-1-1-1-1-2-2-1-11122-1-1-1-111-1-111-1-2-22111111-1-1-2-200111100000000202-200-1-100-1-1110000000000
χ382222-2-2222-1-2-2-2-22-1-12-12-122-2-2-22211-1-1-1-1-1-2-21111-2-2111111-1-1-1-1122-211-1-1-1-1110000−i3−i3i3i300000000000000i3−i300i3−i3−i3i30000000000
χ392222-2-2222-1-2-2-2-22-1-12-12-122-2-2-22211-1-1-1-1-1-2-21111-2-2111111-1-1-1-1122-211-1-1-1-1110000i3i3−i3−i300000000000000−i3i300−i3i3i3−i30000000000
χ402222-2-222-12-2-222-122-12-1-1-2-2211-1-1-2-222-1-1-11122-2-2-1-1-1-1-1-111-1-1-2-2211-1111111-1-100220000-1-1-1-100000-200-220011000011-1-1000000
χ412222-2-222-12-2-222-122-12-1-1-2-2211-1-1-2-222-1-1-11122-2-2-1-1-1-1-1-111-1-1-2-2211-1111111-1-100-2-200001111000002002-200-1-10000-1-111000000
χ422222-2-222-12-2-2-2-2-122-12-1-122-211-1-1-2-222-1-1-111-2-2-2-211111111-1-122-2-1-1111-1-1-1-11100000000−i3−i3i3i3000000000000i3−i30000i3−i3−i3i3000000
χ432222-2-222-12-2-2-2-2-122-12-1-122-211-1-1-2-222-1-1-111-2-2-2-211111111-1-122-2-1-1111-1-1-1-11100000000i3i3−i3−i3000000000000−i3i30000−i3i3i3−i3000000
χ442222-2-2-2-22222-2-22222222-222-2-2-2-2-2-2-2-222222-2-222-2-2-2-2-2-2-2-2-2-2-222-22222-2-222220000000000000000000000000000000000000000
χ452222-2-2-2-22-122222-1-12-12-12-2-2-2-2-2-21111-1-1-122-1-1-1-122-1-1-1-11111-1112-2-2-1-1-1-111112200-1-1-1-10000000020-2-200-1-10011110000000000
χ462222-2-2-2-22-122222-1-12-12-12-2-2-2-2-2-21111-1-1-122-1-1-1-122-1-1-1-11111-1112-2-2-1-1-1-11111-2-200111100000000-2022001100-1-1-1-10000000000
χ472222-2-2-2-22-122-2-22-1-12-12-1-222-2-2-2-21111-1-1-12211-1-1-2-2111111111-1-1-222-1-111-1-1-1-10000−i3−i3i3i300000000000000−i3i300i3−i3i3−i30000000000
χ482222-2-2-2-22-122-2-22-1-12-12-1-222-2-2-2-21111-1-1-12211-1-1-2-2111111111-1-1-222-1-111-1-1-1-10000i3i3−i3−i300000000000000i3−i300−i3i3−i3i30000000000
χ492222-2-2-2-2-122222-122-12-1-12-2-21111-2-2-2-2-1-1-1-1-12222-1-1-1-1-1-111112-2-2-111-1-1-1-1111100220000-1-1-1-100000200-2-200-1-100001111000000
χ502222-2-2-2-2-122222-122-12-1-12-2-21111-2-2-2-2-1-1-1-1-12222-1-1-1-1-1-111112-2-2-111-1-1-1-1111100-2-20000111100000-2002200110000-1-1-1-1000000
χ512222-2-2-2-2-1222-2-2-122-12-1-1-2221111-2-2-2-2-1-1-1-1-1-2-2221111111111-2221-1-1-1-111-1-1-1-100000000−i3−i3i3i3000000000000−i3i30000i3−i3i3−i3000000
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χ532-22-22-22-2222-2002-2-2-22-220002-22-22-22-22-2-22-2002-20000002-22-20000002-2000000000000000000−i2−i2i2i2000000000000000000−i2i2−i2i2−i2i2
χ542-22-22-22-2222-2002-2-2-22-220002-22-22-22-22-2-22-2002-20000002-22-20000002-2000000000000000000i2i2−i2−i2000000000000000000i2−i2i2−i2i2−i2
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χ934-4-4400004-2004-4-42-2-424-20000000000022-200-22004-4-2-222000000000000000000−4i4i002i−2i2i−2i00000000000000000000000000000000
χ944-4-4400004-200-44-42-2-424-20000000000022-2002-200-4422-2-2000000000000000000000023−23−232300000000000000000000000000000000
χ954-4-4400004-200-44-42-2-424-20000000000022-2002-200-4422-2-20000000000000000000000−232323−2300000000000000000000000000000000
χ964-4-440000-24004-42-442-4-2-20000000000022-2004-400-22-2-222000000000000000000004-40000-22-220000000000000000000000000000
χ974-4-440000-24004-42-442-4-2-20000000000022-2004-400-22-2-22200000000000000000000-4400002-22-20000000000000000000000000000
χ984-4-440000-2400-442-442-4-2-20000000000022-200-44002-222-2-200000000000000000000000000−2i32i32i3−2i30000000000000000000000000000
χ994-4-440000-2400-442-442-4-2-20000000000022-200-44002-222-2-2000000000000000000000000002i3−2i3−2i32i30000000000000000000000000000
χ10088-8-800008-40000-8-4484-8-4000000000004-440000000000000000000000000000000000000000000000000000000000000000000000
χ10188-8-80000-48000048-8-4-84-4000000000004-440000000000000000000000000000000000000000000000000000000000000000000000
χ10288-8-80000-4-400004-44-444200000000000-22-2000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000
χ10388-8-80000-4-400004-44-444200000000000-22-200000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000
χ1048-8-880000-4-4008-844-444-4200000000000-2-2200-4400-4422-2-20000000000000000000000000000000000000000000000000000000000
χ1058-8-880000-4-400-8844-444-4200000000000-2-22004-4004-4-2-2220000000000000000000000000000000000000000000000000000000000

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