Finite Group Databasebeta

← Group #11878557

Character table — Group #11878557

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444448888888888888888888888888888888888888888816161616161616163636363636367272727272
order1222333344666666666666246666666688121212121212121244448121212121212121212121212121212121212121224242424242424242424242424242424121212121212121222448822448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11
χ4111111111111111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1
χ511111111111111111111111111111111-1-11111111111-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-11-1
χ611111111111111111111111111111111-1-11111111111-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-11
χ711111111111111111111111111111111-1-111111111-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-111-1-1
χ811111111111111111111111111111111-1-111111111-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-111
χ91111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-111-11-11-1
χ101111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-11-11-11
χ111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-1111-11-1-1
χ121111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-1-11-111
χ131111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111-11-1-1-1-1-1111
χ141111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-11-111111-1-1-1
χ151111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11-11-1-1-111-1-11
χ161111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-1111-1-111-1
χ1722222222-2-22222222222222-22222222200-2-2-2-2-2-2-2-200000-2-2-2-200000000000000000000000000000000000000002-2-220000000
χ1822222222-2-22222222222222-22222222200-2-2-2-2-2-2-2-200000-2-2-2-20000000000000000000000000000000000000000-222-20000000
χ1922222222-2-2222222222222-22-2-2-2-2-2-2-2-200-2-2-2-2-2-2-2-2000002222000000000000000000000000000000000000000022-2-20000000
χ2022222222-2-2222222222222-22-2-2-2-2-2-2-2-200-2-2-2-2-2-2-2-20000022220000000000000000000000000000000000000000-2-2220000000
χ2122222-1-1-1222-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1222222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-100000000000
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χ2322222-1-1-1222-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-2-222-1-1-1-1-1-122-2-2-22-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111-2111-211100000000000
χ2422222-1-1-1222-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-2-222-1-1-1-1-1-1-2-222-22-1-1-1-2-2111111-2-2111111-2-2111111-2-21111112-1-1-12-1-1-100000000000
χ2522222-1-1-1222-1-1-122-1-1-1-1-1-1-2-2-2-21111112222-1-1-1-1-1-12-22-2-2-211122-1-1-1-1-1-1-2-211111122-1-1-1-1-1-1-2-21111112-1-1-1-211100000000000
χ2622222-1-1-1222-1-1-122-1-1-1-1-1-1-2-2-2-21111112222-1-1-1-1-1-1-22-22-2-2111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-21112-1-1-100000000000
χ2722222-1-1-1222-1-1-122-1-1-1-1-1-1-2-2-2-2111111-2-222-1-1-1-1-1-12-2-222-211122-1-1-1-1-1-1-2-2111111-2-211111122-1-1-1-1-1-1-21112-1-1-100000000000
χ2822222-1-1-1222-1-1-122-1-1-1-1-1-1-2-2-2-2111111-2-222-1-1-1-1-1-1-222-22-2111-2-211111122-1-1-1-1-1-1-2-211111122-1-1-1-1-1-12-1-1-1-211100000000000
χ292222-12-1-122-12-1-1-1-122-1-1-1-122-1-122-1-1-1-122-1-122-1-1-1-122222-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-100000000000
χ302222-12-1-122-12-1-1-1-122-1-1-1-122-1-122-1-1-1-122-1-122-1-1-1-1-2-2-2-22-12-1-111-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-11-2111-21100000000000
χ312222-12-1-122-12-1-1-1-122-1-1-1-122-1-122-1-1-1-1-2-2-1-122-1-1-1-122-2-2-2-12-1-1-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-211111-2111-21100000000000
χ322222-12-1-122-12-1-1-1-122-1-1-1-122-1-122-1-1-1-1-2-2-1-122-1-1-1-1-2-222-2-12-1-111-2-2111111-2-2111111-2-2111111-2-21111-12-1-1-12-1-100000000000
χ332222-12-1-122-12-1-1-1-122-1-1-1-1-2-211-2-2111122-1-122-1-1-1-12-22-2-21-211-1-122-1-1-1-111-2-21111-1-122-1-1-1-111-2-21111-12-1-11-21100000000000
χ342222-12-1-122-12-1-1-1-122-1-1-1-1-2-211-2-2111122-1-122-1-1-1-1-22-22-21-21111-2-21111-1-122-1-1-1-1-1-122-1-1-1-111-2-211111-211-12-1-100000000000
χ352222-12-1-122-12-1-1-1-122-1-1-1-1-2-211-2-21111-2-2-1-122-1-1-1-12-2-2221-211-1-122-1-1-1-111-2-2111111-2-21111-1-122-1-1-1-11-211-12-1-100000000000
χ362222-12-1-122-12-1-1-1-122-1-1-1-1-2-211-2-21111-2-2-1-122-1-1-1-1-222-221-21111-2-21111-1-122-1-1-1-111-2-21111-1-122-1-1-1-1-12-1-11-21100000000000
χ372222-1-12-122-1-12-1-1-1-1-122-1-122-1-1-1-122-1-122-1-1-1-122-1-122222-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-100000000000
χ382222-1-12-122-1-12-1-1-1-1-122-1-122-1-1-1-122-1-122-1-1-1-122-1-1-2-2-2-22-1-12-11111-2-2111111-2-211-1-1-1-122-1-1-1-1-1-122-1-111-2111-2100000000000
χ392222-1-12-122-1-12-1-1-1-1-122-1-122-1-1-1-122-1-1-2-2-1-1-1-122-1-122-2-2-2-1-12-1-1-1-1-122-1-1-1-1-1-122-1-11111-2-2111111-2-21111-2111-2100000000000
χ402222-1-12-122-1-12-1-1-1-1-122-1-122-1-1-1-122-1-1-2-2-1-1-1-122-1-1-2-222-2-1-12-11111-2-2111111-2-2111111-2-2111111-2-211-1-12-1-1-12-100000000000
χ412222-1-12-122-1-12-1-1-1-1-122-1-1-2-21111-2-21122-1-1-1-122-1-12-22-2-211-21-1-1-1-122-1-11111-2-211-1-1-1-122-1-11111-2-211-1-12-111-2100000000000
χ422222-1-12-122-1-12-1-1-1-1-122-1-1-2-21111-2-21122-1-1-1-122-1-1-22-22-211-211111-2-211-1-1-1-122-1-1-1-1-1-122-1-11111-2-21111-21-1-12-100000000000
χ432222-1-12-122-1-12-1-1-1-1-122-1-1-2-21111-2-211-2-2-1-1-1-122-1-12-2-22211-21-1-1-1-122-1-11111-2-2111111-2-211-1-1-1-122-1-111-21-1-12-100000000000
χ442222-1-12-122-1-12-1-1-1-1-122-1-1-2-21111-2-211-2-2-1-1-1-122-1-1-222-2211-211111-2-211-1-1-1-122-1-11111-2-211-1-1-1-122-1-1-1-12-111-2100000000000
χ452222-1-1-1222-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-12222222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1200000000000
χ462222-1-1-1222-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-122-2-2-2-22-1-1-12111111-2-2111111-2-2-1-1-1-1-1-122-1-1-1-1-1-122111-2111-200000000000
χ472222-1-1-1222-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-122-2-2-1-1-1-1-1-12222-2-2-2-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2111111-2-2111-2111-200000000000
χ482222-1-1-1222-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-122-2-2-1-1-1-1-1-122-2-222-2-1-1-12111111-2-2111111-2-2111111-2-2111111-2-2-1-1-12-1-1-1200000000000
χ492222-1-1-1222-1-1-12-1-1-1-1-1-122-2-2111111-2-222-1-1-1-1-1-1222-22-2-2111-2-1-1-1-1-1-122111111-2-2-1-1-1-1-1-122111111-2-2-1-1-12111-200000000000
χ502222-1-1-1222-1-1-12-1-1-1-1-1-122-2-2111111-2-222-1-1-1-1-1-122-22-22-2111-2111111-2-2-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2111-2-1-1-1200000000000
χ512222-1-1-1222-1-1-12-1-1-1-1-1-122-2-2111111-2-2-2-2-1-1-1-1-1-1222-2-222111-2-1-1-1-1-1-122111111-2-2111111-2-2-1-1-1-1-1-122111-2-1-1-1200000000000
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χ924-4-44-2-24-24-422-422-22-2-442-2000000000000-22-224-4-22000000000−232323−2300−23230000000000000000000000000000000000000000000
χ934-4-44-2-24-2-4422-422-22-2-442-20000000000002-22-2-442-20000000000000000023−23−23230023−2300000000000000000000000000000000000
χ944-4-44-2-24-2-4422-422-22-2-442-20000000000002-22-2-442-200000000000000000−232323−2300−232300000000000000000000000000000000000
χ954-4-44-2-2-244-4222-42-22-22-2-44000000000000-22-22-224-400000000023−2323−23−2323000000000000000000000000000000000000000000000
χ964-4-44-2-2-244-4222-42-22-22-2-44000000000000-22-22-224-4000000000−2323−232323−23000000000000000000000000000000000000000000000
χ974-4-44-2-2-24-44222-42-22-22-2-440000000000002-22-22-2-440000000000000000023−2323−23−23230000000000000000000000000000000000000
χ984-4-44-2-2-24-44222-42-22-22-2-440000000000002-22-22-2-4400000000000000000−2323−232323−230000000000000000000000000000000000000
χ998-88-88-4-4-4008-4-4-4-8-844444400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8-48-4-400-48-4-444-8-8444400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-48-400-4-48-44444-8-84400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-4-4800-4-4-48444444-8-800000000000000000000000000000000000000000000000000000000000000000000000000000000

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