Finite Group Databasebeta

← Group #11865871

Character table — Group #11865871

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order122222334444666666121212123666666612121212121212121212444424666666666612121212121212121212444444121212121212121224668812121212121224242424222288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1
χ91111-1-1111-1-11111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-1111-1-11-11111-1-11111-1-1-1-111-1-1-1-11-111-1-11111-1-1-1-11-1111-1-1-111-1-111-1-111-1-11-1
χ101111-1-1111-1-11111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-1111-1-11-11111-1-11111-1-1-1-111-1-1-1-11-1-1-1111111-1-1-1-11-111-11-1-1-1-111-1-111-1-111-11
χ111111-1-1111-1-11111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-1111-1-1-11-1-1-1-1-1-1-1-1-1-111111111111-111-1-11111-1-1-1-1-11-1-1-111111-1-1-1-11111-1-1-11
χ121111-1-1111-1-11111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-1111-1-1-11-1-1-1-1-1-1-1-1-1-111111111111-1-1-1111111-1-1-1-1-11-1-11-111-1-11111-1-1-1-1111-1
χ131111-1-1111-1-11111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-11-1-1111-11111-1-11111-1-1-1-111-1-1-1-1-1111-1-1-1-1-1-11111-11-1-11-11111-1-111-1-1-1-111-11
χ141111-1-1111-1-11111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-11-1-1111-11111-1-11111-1-1-1-111-1-1-1-1-11-1-111-1-1-1-11111-11-1-1-1111-1-111-1-11111-1-11-1
χ151111-1-1111-1-11111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-11-1-111-11-1-1-1-1-1-1-1-1-1-11111111111-1111-1-1-1-1-1-111111-111-11-1-111-1-1-1-111-1-1111-1
χ161111-1-1111-1-11111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-11-1-111-11-1-1-1-1-1-1-1-1-1-11111111111-11-1-111-1-1-1-111111-1111-1-1-1-1-11111-1-111-1-1-11
χ1722222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-222220000002200000000-2-20000-2-2000022-2-222-2-20000000000000000000000
χ1822222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-20000002200000000-2-20000220000-2-222-2-2220000000000000000000000
χ192222222-1222222-1-1-12-1-1-1-1-122-1-1-1-1-1222-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1220000-1-1-1-1-1-1-1-122-1-100-1-100000000000000
χ202222222-1222222-1-1-12-1-1-1-1-122-1-1-1-1-1222-1-1-1-1-1-122222-2-2-2-211-1-11111-2-211-1-11111220000-1-1-1-1-1-1-1-1-2-211001100000000000000
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χ222222222-1222222-1-1-12-1-1-1-1-122-1-1-1-1-1222-1-1-1-1-1-12-2-2-2-2-2-2-2-211-1-11111-2-211-1-11111-2-200001111111122-1-100-1-100000000000000
χ232222222-1-2-2-2-222-1-1-121111-122-1-1-1-1-1-2-2-2111111-222220000−i3i3-1-1−i3−i3i3i300−i3i311−i3−i3i3i3-2-20000-1-111-1-11100−i3i300−i3i300000000000000
χ242222222-1-2-2-2-222-1-1-121111-122-1-1-1-1-1-2-2-2111111-222220000i3−i3-1-1i3i3−i3−i300i3−i311i3i3−i3−i3-2-20000-1-111-1-11100i3−i300i3−i300000000000000
χ252222222-1-2-2-2-222-1-1-121111-122-1-1-1-1-1-2-2-2111111-2-2-2-2-20000−i3i3-1-1−i3−i3i3i300−i3i311−i3−i3i3i322000011-1-111-1-100i3−i300i3−i300000000000000
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χ27222222-122222-1-1222-12222-1-1-122-1-1-1-1-1-122-1-1-1-1-1000022-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10022220000000000002200-1-1-1-1-1-1-1-1000000
χ28222222-122222-1-1222-12222-1-1-122-1-1-1-1-1-122-1-1-1-1-1000022-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100-2-2-2-2000000000000-2-20011111111000000
χ29222222-122222-1-1222-12222-1-1-122-1-1-1-1-1-122-1-1-1-1-10000-2-211-2-2-1-1111111-2-2-1-11111002222000000000000-2-200-1-1-1-11111000000
χ30222222-122222-1-1222-12222-1-1-122-1-1-1-1-1-122-1-1-1-1-10000-2-211-2-2-1-1111111-2-2-1-1111100-2-2-2-200000000000022001111-1-1-1-1000000
χ312222-2-222-222-222222222222-2-2-2-2222-222-2-22222-222-2-2000000-2-200000000-2-20000-22000022-2-2-2-2220000000000000000000000
χ322222-2-222-222-222222222222-2-2-2-2222-222-2-22222-2-2-222000000-2-200000000-2-200002-20000-2-22222-2-20000000000000000000000
χ332222-2-22-12-2-2222-1-1-121111-1-2-211-1-1-12-2-2-1-11111222-2-22-222-1-111-1-1-1-1-2-211-1-111112-20000-1-1-1-111112-2-1-1001100000000000000
χ342222-2-22-12-2-2222-1-1-121111-1-2-211-1-1-12-2-2-1-11111222-2-2-22-2-21111111122-1-1-1-1-1-1-1-12-20000-1-1-1-11111-221100-1-100000000000000
χ352222-2-22-12-2-2222-1-1-121111-1-2-211-1-1-12-2-2-1-111112-2-2222-222-1-111-1-1-1-1-2-211-1-11111-2200001111-1-1-1-1-221100-1-100000000000000
χ362222-2-22-12-2-2222-1-1-121111-1-2-211-1-1-12-2-2-1-111112-2-222-22-2-21111111122-1-1-1-1-1-1-1-1-2200001111-1-1-1-12-2-1-1001100000000000000
χ372222-2-22-1-222-222-1-1-12-1-1-1-1-1-2-211-1-1-1-22211-1-1-1-1-222-2-20000−i3i311−i3−i3i3i300i3−i311i3i3−i3−i3-220000-1-11111-1-100−i3i300i3−i300000000000000
χ382222-2-22-1-222-222-1-1-12-1-1-1-1-1-2-211-1-1-1-22211-1-1-1-1-222-2-20000i3−i311i3i3−i3−i300−i3i311−i3−i3i3i3-220000-1-11111-1-100i3−i300−i3i300000000000000
χ392222-2-22-1-222-222-1-1-12-1-1-1-1-1-2-211-1-1-1-22211-1-1-1-1-2-2-2220000−i3i311−i3−i3i3i300i3−i311i3i3−i3−i32-2000011-1-1-1-11100i3−i300−i3i300000000000000
χ402222-2-22-1-222-222-1-1-12-1-1-1-1-1-2-211-1-1-1-22211-1-1-1-1-2-2-2220000i3−i311i3i3−i3−i300−i3i311−i3−i3i3i32-2000011-1-1-1-11100−i3i300i3−i300000000000000
χ412222-2-2-122-2-22-1-1222-1-2-2-2-2-111-2-2-1-1-1-111221111-100002-2-1-12211-1-1-1-111-2-2-1-111110022-2-20000000000002-200-1-111-1-111000000
χ422222-2-2-122-2-22-1-1222-1-2-2-2-2-111-2-2-1-1-1-111221111-100002-2-1-12211-1-1-1-111-2-2-1-1111100-2-222000000000000-220011-1-111-1-1000000
χ432222-2-2-122-2-22-1-1222-1-2-2-2-2-111-2-2-1-1-1-111221111-10000-2211-2-2111111-1-122-1-1-1-1-1-10022-2-2000000000000-2200-1-11111-1-1000000
χ442222-2-2-122-2-22-1-1222-1-2-2-2-2-111-2-2-1-1-1-111221111-10000-2211-2-2111111-1-122-1-1-1-1-1-100-2-2220000000000002-20011-1-1-1-111000000
χ452-22-22-22222-2-2-22-2-22-222-2-222-22-2-2-2222-22-222-2-2-200000000002-2000000002-20000002i−2i2i−2i00000000000000002i−2i2i−2i0000000000
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χ964-4-44004-20000-4-42-224−232323−23-200002-2200000−232323−230-440000000000000000000000000000002-2000023−230000000000000000000000
χ9788-8-800-480000-448-8-840000-40000-444000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-40000-44-444443−4343−43200002-2-200000−2323−2323000000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-40000-44-4444−4343−4343200002-2-20000023−2323−23000000000000000000000000000000000000000000000000000000000000000
χ1008-8-8800-48000044-88-8-40000-400004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-40000444-44-443−43−434320000-22-200000−232323−23000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-40000444-44-4−434343−4320000-22-20000023−23−2323000000000000000000000000000000000000000000000000000000000000000

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