Finite Group Databasebeta

← Group #11867160

Character table — Group #11867160

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order12222233444466666666663666666666121212121212121222442266666666666666661212121224666688881212121224446612121212121224242424888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1
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
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1
χ91111-1-1111-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1111111-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-111-1-11-11-111-1-111-1-111-1-111-1-1-11
χ101111-1-1111-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1111111-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-111-1-1-11111-1-1-1-111-1-1111-1
χ111111-1-1111-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111111-11-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1-11-11-1-111-1-11111-1-111-1-11-1
χ121111-1-1111-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111111-11-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-11-1-1111-1-1-1-111-1-111-1-111-11
χ131111-1-1111-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11-1-1-1-11-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-1111-1
χ141111-1-1111-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11-1-1-1-11-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-11-11-1-111-1-111-1-11111-1-1-11
χ151111-1-1111-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11-1-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-111-1-11111-1-1-1-111-111-1-1-11111-1-111-1-1-1-111-11
χ161111-1-1111-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11-1-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-111-1-1111-11-111-1-111-1-1-1-11111-1-11-1
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χ352222-2-22-12-2-2222-111112-1-1-1-2-2-1-11111-12-1-1-2-2112-2-2-2-22-222-1-1-2-211-1-1-1-11111-1-1112211-1-1000011-1-100-22000011-1-10000000000
χ362222-2-22-12-2-2222-111112-1-1-1-2-2-1-11111-12-1-1-2-2112-2-2-2-2-22-2-21122-1-11111-1-1-1-1-1-1112211-1-1000011-1-1002-20000-1-1110000000000
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χ402222-2-22-1-222-222-111112-1-1-1-2-2-1-11111-1-21122-1-1-2-2-2220000i3−i300−i3i3i3i3−i3−i3−i3−i3i3i311-1-12-211-1-10000-1-11100000000−i3i3i3−i30000000000
χ412222-2-2-122-2-22-1-12-2-2-2-2-122-111-1-11111-1-12211-2-2-100002-2-1-12211-2-2-1-1-1-11111-1-11100000022-2-200002-200-1-1110000-1-111000000
χ422222-2-2-122-2-22-1-12-2-2-2-2-122-111-1-11111-1-12211-2-2-100002-2-1-12211-2-2-1-1-1-11111-1-111000000-2-2220000-220011-1-1000011-1-1000000
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χ944-4-44004-20000-442−2i32i32i3−2i3-42-2-2002-2−2i32i32i3−2i3200000000-44000000000000000000000000002-22i3−2i3000000000000000000000000000000
χ954-4-44004-20000-4422i3−2i3−2i32i3-42-2-2002-22i3−2i3−2i32i32000000004-400000000000000000000000000-222i3−2i3000000000000000000000000000000
χ964-4-44004-20000-4422i3−2i3−2i32i3-42-2-2002-22i3−2i3−2i32i3200000000-44000000000000000000000000002-2−2i32i3000000000000000000000000000000
χ978-88-800-480000-44800004-8-8-400-44000040000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-800-4-40000-44-4−4i34i3−4i34i34442002-22i3−2i32i3−2i3-20000000000000000000000000000000000000000000000000000000000000000000000
χ998-88-800-4-40000-44-44i3−4i34i3−4i34442002-2−2i32i3−2i32i3-20000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-8800-4800004-4-800004-88-4004-4000040000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-400004-44−4i34i34i3−4i344-4200-222i3−2i3−2i32i3-20000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-400004-444i3−4i3−4i34i344-4200-22−2i32i32i3−2i3-20000000000000000000000000000000000000000000000000000000000000000000000

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