Finite Group Databasebeta

← Group #11885743

Character table — Group #11885743

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222244444444444444444446666888888888888888888888812121212121212121212121212121212181818182424242424242424242424363648487272
order122222334466666666662234666666666121212121212888826666666666666666121212121222888888242424242424242422442246666242424244461224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1
χ4111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-111
χ511111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111111111111111111-1-1-1-1-1-1-1111111-1-1-1-1
χ611111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-111
χ811111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1
χ91111-1-11111111-1-1-1-1111111-1-1-111-1-1-1-111-1-11111111-111-1-111-1-11111-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1111-1-111-1-11-1-11-11
χ101111-1-11111111-1-1-1-1111111-1-1-111-1-1-1-111-1-11111111-111-1-111-1-11111-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-111-1-1-11-111-1-1-1-111-111-11-1
χ111111-1-11111111-1-1-1-1111111-1-1-111-1-1-1-111-1-1111-1-1-1-1-111-1-111-1-11111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-11-11-1-11111-1-1-11-111-1
χ121111-1-11111111-1-1-1-1111111-1-1-111-1-1-1-111-1-1111-1-1-1-1-111-1-111-1-11111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-111-1-1111-11-1-11
χ131111-1-11111111-1-1-1-1111-1-11-1-1-111-1-1-1-111-1-111111111-1-111-1-111-1-1-1-11111-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-11111-1-11-11-11-1
χ141111-1-11111111-1-1-1-1111-1-11-1-1-111-1-1-1-111-1-111111111-1-111-1-111-1-1-1-11111-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11-11-1-111-1-111-11-11-11
χ151111-1-11111111-1-1-1-1111-1-11-1-1-111-1-1-1-111-1-1111-1-1-1-11-1-111-1-111-1-1-1-11111-111-1-1111111-1-1-1-1-1-1111111-1-1-11-111-1-111-1-1-111-1-11
χ161111-1-11111111-1-1-1-1111-1-11-1-1-111-1-1-1-111-1-1111-1-1-1-11-1-111-1-111-1-1-1-11111-111-1-111-1-11111-1-1-1-11111-1-111-1-1111-1-1-1-1111-1-111-1
χ1722222222-2-22222222222002-2222222222-2-2-2-2-2-2000000000000000000000-2-2-2-2-20000000000000000222200000000000-2-20000
χ1822222222-2-22222222222002-2222222222-2-2-2-2-2-2000000000000000000000-2-2-2-2-20000000000000000-2-2-2-200000000000220000
χ192222222-1222-1-1-1-1-1-12-1222-1222-1-1-1-1-1-1-1-1-1-122-1222222222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-122002200-1-1-1-1-1-1-1-10000200-1-1-1-10000000000
χ202222222-1222-1-1-1-1-1-12-1222-1222-1-1-1-1-1-1-1-1-1-122-1-2-2-2-222222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1-2-200-2-200111111110000-20011110000000000
χ212222222-1222-1-1-1-1-1-12-12-2-2-1222-1-1-1-1-1-1-1-1-1-122-12222-2-2-2-2-21111111111112-1-1-1-1-2-2002200-1-1-1-1-1-1-1-10000-20011110000000000
χ222222222-1222-1-1-1-1-1-12-12-2-2-1222-1-1-1-1-1-1-1-1-1-122-1-2-2-2-2-2-2-2-2-21111111111112-1-1-1-12200-2-200111111110000200-1-1-1-10000000000
χ23222222-1222-1222222-12-122-12-1-1-1-1-1-1-1-1-1222-1-1200002-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1002200220000000000000220000-1-1-1-100-1-100
χ24222222-1222-1222222-12-122-12-1-1-1-1-1-1-1-1-1222-1-1200002-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-20000000000000-2-200001111001100
χ25222222-1222-1222222-12-1-2-2-12-1-1-1-1-1-1-1-1-1222-1-120000-21111-2-2-2-211111111-1-1-1-1-1002200220000000000000-2-20000-1-1-1-1001100
χ26222222-1222-1222222-12-1-2-2-12-1-1-1-1-1-1-1-1-1222-1-120000-21111-2-2-2-211111111-1-1-1-1-100-2-200-2-20000000000000220000111100-1-100
χ272222-2-222-2-2222-2-2-2-22220022-2-222-2-2-2-22-222-2-2-20000000000000000000002-2-222000000000000000022-2-2000000000002-20000
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χ292222-2-22-1222-1-111112-1222-1-2-2-2-1-11111-1-11122-12222-222-2-2-1-111-1-1-1-11111-2-1-1112200-2-200-1-1-1-111110000-200-1-1110000000000
χ302222-2-22-1222-1-111112-1222-1-2-2-2-1-11111-1-11122-1-2-2-2-2-222-2-2-1-111-1-1-1-11111-2-1-111-2-20022001111-1-1-1-1000020011-1-10000000000
χ312222-2-22-1222-1-111112-12-2-2-1-2-2-2-1-11111-1-11122-122222-2-22211-1-11111-1-1-1-1-2-1-111-2-200-2-200-1-1-1-11111000020011-1-10000000000
χ322222-2-22-1222-1-111112-12-2-2-1-2-2-2-1-11111-1-11122-1-2-2-2-22-2-22211-1-11111-1-1-1-1-2-1-111220022001111-1-1-1-10000-200-1-1110000000000
χ332222-2-2-1222-122-2-2-2-2-12-122-1-211-1-11111-12-2-2-1-120000-2-1-11122-2-2-1-1-1-111111-1-111002200-2-20000000000000-220000-1-111001-100
χ342222-2-2-1222-122-2-2-2-2-12-122-1-211-1-11111-12-2-2-1-120000-2-1-11122-2-2-1-1-1-111111-1-11100-2-2002200000000000002-2000011-1-100-1100
χ352222-2-2-1222-122-2-2-2-2-12-1-2-2-1-211-1-11111-12-2-2-1-120000211-1-1-2-2221111-1-1-1-11-1-111002200-2-200000000000002-20000-1-11100-1100
χ362222-2-2-1222-122-2-2-2-2-12-1-2-2-1-211-1-11111-12-2-2-1-120000211-1-1-2-2221111-1-1-1-11-1-11100-2-200220000000000000-22000011-1-1001-100
χ372-22-20022-22-2-2-2000022-22-22000-2-200002-2002-2222-2-202-2002-20022-2-2000002-2002-200000022-2-2000000000002-2000000000000
χ382-22-20022-22-2-2-2000022-22-22000-2-200002-2002-22-2-22202-2002-20022-2-2000002-200-22000000-2-22200000000000-22000000000000
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χ432-22-2002-1-22-211−i3−i3i3i32-1-2-22-100011−i3−i3i3i3-11−i3i32-2-122-2-20-22001-1i3−i311-1-1i3i3−i3−i30-11−i3i3-22000000-1-111−i3−i3i3i300000001-1i3−i30000000000
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χ492-2-222-22200-22-22-22-2-2-2200202-22-22-22-2-20000002−22−20000000000000000000000002−22−22−22−22−22−22−22-22-200000002−22−2000000
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χ1018-8-888-8-4-4004-44-44-4444-40020-442-22-22-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-88-4-4004-444-44-444-400204-42-2-22-22-2000000000000000000000000000000000000000000000000000000000000000000000

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