Finite Group Databasebeta

← Group #11865872

Character table — Group #11865872

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order12222233444466666612121212366666661212121212121212121244442466666666661212121212121212121222224412121212121212122466666688121224242424444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1
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
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1
χ91111-1-1111-1-11111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-1111-1-11-11111-1-11111-1-1-1-111-1-1-1-111-1-11-11111-1-1-1-11-11111-1-11-1-1-111-1-111-1-11-1
χ101111-1-1111-1-11111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-1111-1-11-11111-1-11111-1-1-1-111-1-1-1-1-1-1111-11111-1-1-1-11-111-1-111-11-1-1-1-111-1-111-11
χ111111-1-1111-1-11111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-1111-1-1-11-1-1-1-1-1-1-1-1-1-1111111111111-1-11-11111-1-1-1-1-11-1-111-1-1-1111-1-11111-1-1-11
χ121111-1-1111-1-11111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-1111-1-1-11-1-1-1-1-1-1-1-1-1-11111111111-1-1111-11111-1-1-1-1-11-1-1-1-1111-11111-1-1-1-1111-1
χ131111-1-1111-1-11111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-11-1-1111-11111-1-11111-1-1-1-111-1-1-1-111-1-1-11-1-1-1-11111-11-1-111-1-11-11111-1-1-1-111-11
χ141111-1-1111-1-11111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-11-1-1111-11111-1-11111-1-1-1-111-1-1-1-1-1-111-11-1-1-1-11111-11-1-1-1-111-1111-1-11111-1-11-1
χ151111-1-1111-1-11111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-11-1-111-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-11-1-1-1-111111-11111-1-1-11-1-1-1-111-1-1111-1
χ161111-1-1111-1-11111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-11-1-111-11-1-1-1-1-1-1-1-1-1-11111111111-1-111-11-1-1-1-111111-111-1-1111-1-1-111-1-111-1-1-11
χ1722222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-222220000002200000000-2-200000000-2-222-2-222-2-20000000000000000000000
χ1822222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-20000002200000000-2-20000000022-2-222-2-2220000000000000000000000
χ192222222-12222-1-1-12222222-122-1-1-1-1-1-1-1-122-1-1-1-1-100002222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1222200000000000000-1-1-1-12200-1-1-1-1000000
χ202222222-12222-1-1-12222222-122-1-1-1-1-1-1-1-122-1-1-1-1-100002222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2000000000000001111-2-2001111000000
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χ24222222-122222222-1-1-1-1-1-1-1-1-1-122-1-1-1222-1-1-1-1-1-122222-2-211-2-2-1-11111-2-211-1-11111000022-1-1-1-1-1-1-1-1-2-211000000110000000000
χ25222222-122222222-1-1-1-1-1-1-1-1-1-122-1-1-1222-1-1-1-1-1-12-2-2-2-222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-211111111-2-211000000110000000000
χ26222222-122222222-1-1-1-1-1-1-1-1-1-122-1-1-1222-1-1-1-1-1-12-2-2-2-2-2-211-2-2-1-11111-2-211-1-111110000-2-21111111122-1-1000000-1-10000000000
χ27222222-12-2-2-2-2222-1-1-11111-1-1-122-1-1-1-2-2-2111111-2222200−i3i300-1-1−i3−i3i3i300−i3i311−i3−i3i3i30000-2-2-1-111-1-11100−i3i3000000−i3i30000000000
χ28222222-12-2-2-2-2222-1-1-11111-1-1-122-1-1-1-2-2-2111111-2222200i3−i300-1-1i3i3−i3−i300i3−i311i3i3−i3−i30000-2-2-1-111-1-11100i3−i3000000i3−i30000000000
χ29222222-12-2-2-2-2222-1-1-11111-1-1-122-1-1-1-2-2-2111111-2-2-2-2-200−i3i300-1-1−i3−i3i3i300−i3i311−i3−i3i3i300002211-1-111-1-100i3−i3000000i3−i30000000000
χ30222222-12-2-2-2-2222-1-1-11111-1-1-122-1-1-1-2-2-2111111-2-2-2-2-200i3−i300-1-1i3i3−i3−i300i3−i311i3i3−i3−i300002211-1-111-1-100−i3i3000000−i3i30000000000
χ312222-2-222-222-222222222222-2-2-2-2222-222-2-22222-222-2-2000000-2-200000000-2-200000000-2222-2-2-2-2220000000000000000000000
χ322222-2-222-222-222222222222-2-2-2-2222-222-2-22222-2-2-222000000-2-200000000-2-2000000002-2-2-22222-2-20000000000000000000000
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χ342222-2-22-12-2-22-1-1-1222-2-2-2-2-1-2-211-1-1-1-111221111-100002-222-1-111-1-1-1-111-2-2-1-11111-2-2220000000000000011-1-1-220011-1-1000000
χ352222-2-22-12-2-22-1-1-1222-2-2-2-2-1-2-211-1-1-1-111221111-10000-22-2-211111111-1-122-1-1-1-1-1-122-2-200000000000000-1-111-220011-1-1000000
χ362222-2-22-12-2-22-1-1-1222-2-2-2-2-1-2-211-1-1-1-111221111-10000-22-2-211111111-1-122-1-1-1-1-1-1-2-2220000000000000011-1-12-200-1-111000000
χ372222-2-2-122-2-22222-1-1-11111-111-2-2-1-1-12-2-2-1-11111222-2-22-2-1-12211-1-1-1-1-2-211-1-1111100002-2-1-1-1-111112-2-1-1000000110000000000
χ382222-2-2-122-2-22222-1-1-11111-111-2-2-1-1-12-2-2-1-11111222-2-2-2211-2-211111122-1-1-1-1-1-1-1-100002-2-1-1-1-11111-2211000000-1-10000000000
χ392222-2-2-122-2-22222-1-1-11111-111-2-2-1-1-12-2-2-1-111112-2-2222-2-1-12211-1-1-1-1-2-211-1-111110000-221111-1-1-1-1-2211000000-1-10000000000
χ402222-2-2-122-2-22222-1-1-11111-111-2-2-1-1-12-2-2-1-111112-2-222-2211-2-211111122-1-1-1-1-1-1-1-10000-221111-1-1-1-12-2-1-1000000110000000000
χ412222-2-2-12-222-2222-1-1-1-1-1-1-1-111-2-2-1-1-1-22211-1-1-1-1-222-2-200−i3i30011−i3−i3i3i300i3−i311i3i3−i3−i30000-22-1-11111-1-100−i3i3000000i3−i30000000000
χ422222-2-2-12-222-2222-1-1-1-1-1-1-1-111-2-2-1-1-1-22211-1-1-1-1-222-2-200i3−i30011i3i3−i3−i300−i3i311−i3−i3i3i30000-22-1-11111-1-100i3−i3000000−i3i30000000000
χ432222-2-2-12-222-2222-1-1-1-1-1-1-1-111-2-2-1-1-1-22211-1-1-1-1-2-2-22200−i3i30011−i3−i3i3i300i3−i311i3i3−i3−i300002-211-1-1-1-11100i3−i3000000−i3i30000000000
χ442222-2-2-12-222-2222-1-1-1-1-1-1-1-111-2-2-1-1-1-22211-1-1-1-1-2-2-22200i3−i30011i3i3−i3−i300−i3i311−i3−i3i3i300002-211-1-1-1-11100−i3i3000000i3−i30000000000
χ452-22-22-22222-2-2-2-22-2-2222-2-222-22-2-2-2222-22-222-2-2-200000000002-2000000002-200000000000000000000000000000000002i−2i2i−2i00
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χ542-22-2-22222-22-2-2-22-2-22-2-2222-22-22-2-222-222-2-2-222-20000000000-22000000002-20000000000000000000000000000000000−2i2i2i−2i00
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χ964-4-4400-240000-44-42-22−232323−23-200002-2200000−232323−230-440000000000000000000000000000002-2000023−230000000000000000000000
χ9788-8-8008-40000-4448-8-80000-40000-444000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-40000-444-44443−4343−43200002-2-200000−2323−2323000000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-40000-444-444−4343−4343200002-2-20000023−2323−23000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88008-400004-44-88-80000-400004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-400004-444-4443−43−434320000-22-200000−232323−23000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-400004-444-44−434343−4320000-22-20000023−23−2323000000000000000000000000000000000000000000000000000000000000000

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