Finite Group Databasebeta

← Group #11866200

Character table — Group #11866200

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order12222233444466666666663666666666121212121212121222666666666666666612121212222244448888242424242424242424666666121212121212444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1
χ91111-1-1111-1-1111-1-1-1-111111-1-111-1-1-1-111-1-111-1-111-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-11-11111-1-111-1-1-1-111-1-11-1
χ101111-1-1111-1-1111-1-1-1-111111-1-111-1-1-1-111-1-111-1-111-111-1-111-1-11111-1-1-1-111-1-111-1-1-1-11111-1-11111-1-1-1-1-11-1-111-1-1-1-11111-1-111-11
χ111111-1-1111-1-1111-1-1-1-111111-1-111-1-1-1-111-1-111-1-111-111-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111111-111-1-11111-1-1-1-1-1-111-11
χ121111-1-1111-1-1111-1-1-1-111111-1-111-1-1-1-111-1-111-1-111-111-1-111-1-11111-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-11111-11-1-1-1-111-1-1111111-1-11-1
χ131111-1-1111-1-1111-1-1-1-111111-1-111-1-1-1-111-1-111-1-11-11-1-111-1-111-1-1-1-1111111-1-111-1-111-1-1-1-111-1-1-1-11111-11-1-111-1-111-1-11111-1-1-11
χ141111-1-1111-1-1111-1-1-1-111111-1-111-1-1-1-111-1-111-1-11-11-1-111-1-111-1-1-1-1111111-1-111-1-1-1-111-1-111-1-1-1-111111-11111-1-1-1-111-1-1-1-1111-1
χ151111-1-1111-1-1111-1-1-1-111111-1-111-1-1-1-111-1-111-1-11-11-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-111-1-11111-1-1-1-1-11-1-1-1-11111-1-111-1-1111-1
χ161111-1-1111-1-1111-1-1-1-111111-1-111-1-1-1-111-1-111-1-11-11-1-111-1-111-1-1-1-1111111-1-1-1-111-1-11111-1-11111-1-1-1-11-111-1-111-1-111-1-111-1-1-11
χ1722222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-2000000000000000000-2-2-2-200002-22-2000000000000000000002-22-200000000
χ1822222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-2000000000000000000-2-2-2-20000-22-2200000000000000000000-22-2200000000
χ192222222-12222-1-1-1-1-1-1-1222-122-1-1-1-1-1-1-1-1-1-12222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200002222-1-1-1-1-1-1-1-10000-1-1-1-1000000000000
χ202222222-12222-1-1-1-1-1-1-1222-122-1-1-1-1-1-1-1-1-1-12222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-21111111100001111000000000000
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χ222222222-12222-1-1-1-1-1-1-1222-122-1-1-1-1-1-1-1-1-1-12222-1-2-2-2-2-2-2111111111111-1-1-1-1-2-2-2-200002222-1-1-1-1-1-1-1-100001111000000000000
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χ24222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000000000-2-2110000111111000000
χ25222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-21111-2-2-2-211111111-1-1-1-100002222000000000000-2-2110000-1-1-1-111000000
χ26222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-21111-2-2-2-211111111-1-1-1-10000-2-2-2-200000000000022-1-100001111-1-1000000
χ27222222-12-2-2-2-22222222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-21111-200−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i3111100002-22-200000000000000−i3i30000-11-11−i3i3000000
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χ29222222-12-2-2-2-22222222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-21111-200i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i3111100002-22-200000000000000i3−i30000-11-11i3−i3000000
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χ342222-2-22-12-2-22-1-11111-1222-1-2-2-1-11111-1-11122-2-2-12-222-2-2-1-111-1-1-1-11111-1-111-2-2220000-2-2221111-1-1-1-1000011-1-1000000000000
χ352222-2-22-12-2-22-1-11111-1222-1-2-2-1-11111-1-11122-2-2-1-22-2-22211-1-11111-1-1-1-1-1-11122-2-20000-2-2221111-1-1-1-10000-1-111000000000000
χ362222-2-22-12-2-22-1-11111-1222-1-2-2-1-11111-1-11122-2-2-1-22-2-22211-1-11111-1-1-1-1-1-111-2-222000022-2-2-1-1-1-11111000011-1-1000000000000
χ372222-2-2-122-2-2222-2-2-2-22-1-1-1-111-1-11111-12-2-2-1-11122-2-1-11122-2-2-1-1-1-11111-1-111000022-2-20000000000002-2-1-10000-1-11111000000
χ382222-2-2-122-2-2222-2-2-2-22-1-1-1-111-1-11111-12-2-2-1-11122-2-1-11122-2-2-1-1-1-11111-1-1110000-2-222000000000000-2211000011-1-1-1-1000000
χ392222-2-2-122-2-2222-2-2-2-22-1-1-1-111-1-11111-12-2-2-1-1112-2211-1-1-2-2221111-1-1-1-1-1-111000022-2-2000000000000-22110000-1-111-1-1000000
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χ412222-2-2-12-222-222-2-2-2-22-1-1-1-111-1-11111-1-22211-1-1-200−i3i3i3−i30000−i3−i3i3i3i3i3−i3−i311-1-100002-2-2200000000000000−i3i30000-111-1i3−i3000000
χ422222-2-2-12-222-222-2-2-2-22-1-1-1-111-1-11111-1-22211-1-1-200−i3i3i3−i30000−i3−i3i3i3i3i3−i3−i311-1-10000-222-200000000000000i3−i300001-1-11−i3i3000000
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χ944-4-44004-200002-2−2i32i32i3−2i32-44-4-2002-2−2i32i32i3−2i3200000000000000000000000000000000000000−2222002−2−22−i6i6i6−i600000000000000000000
χ954-4-44004-200002-22i3−2i3−2i32i32-44-4-2002-22i3−2i3−2i32i320000000000000000000000000000000000000022−2200−222−2−i6i6i6−i600000000000000000000
χ964-4-44004-200002-22i3−2i3−2i32i32-44-4-2002-22i3−2i3−2i32i3200000000000000000000000000000000000000−2222002−2−22i6−i6−i6i600000000000000000000
χ978-88-800-4800008-80000-8-444-400-44000040000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-800-4-40000-44−4i34i3−4i34i34-4442002-22i3−2i32i3−2i3-20000000000000000000000000000000000000000000000000000000000000000000000
χ998-88-800-4-40000-444i3−4i34i3−4i34-4442002-2−2i32i3−2i32i3-20000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-8800-480000-880000-84-44-4004-4000040000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-400004-4−4i34i34i3−4i344-44200-222i3−2i3−2i32i3-20000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-400004-44i3−4i3−4i34i344-44200-22−2i32i32i3−2i3-20000000000000000000000000000000000000000000000000000000000000000000000

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