Finite Group Databasebeta

← Group #11866214

Character table — Group #11866214

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222224444444444444444444444888888888888888888881212121212121212121212122424242424242424242424242424242424243636363636363636
order1222223344446666661212121234444666666612121212121212121212661212121212121212121212121212121212128888242424242424242422246666668812122424242422224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111
χ711111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111
χ811111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1111111111111-1-1-1-1
χ91111-1-1111-1-11111111-1-1-1-1111-1-1-1-1-1-11111-1-11-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-11-1-1-111-1-111-1-111-1-1
χ101111-1-1111-1-11111111-1-1-1-1111-1-1-1-1-1-11111-1-11-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11-11-111-1-111-11-1-1-1-111-1-111-1-111
χ111111-1-1111-1-11111111-1-1-1-1111-1-1-1-1-1-11111-1-11-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-11-11-1-111-1-11-11111-1-1-1-111-1-111
χ121111-1-1111-1-11111111-1-1-1-1111-1-1-1-1-1-11111-1-11-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-1111-1-11111-1-111-1-1
χ131111-1-1111-1-11111111-1-1-1-11-1-111-1-1-1-11111-1-11-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1111111-1-11111-1-1-1-1-11-11-1-111-1-1-1111-1-11111-1-1-1-111
χ141111-1-1111-1-11111111-1-1-1-11-1-111-1-1-1-11111-1-11-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-1111-11111-1-1-1-11111-1-1
χ151111-1-1111-1-11111111-1-1-1-11-1-111-1-1-1-11111-1-11-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1111111-1-11111-1-1-11-1-1-1-111-1-11111-1-1
χ161111-1-1111-1-11111111-1-1-1-11-1-111-1-1-1-11111-1-11-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-111111-11-111-1-1111-1-1-111-1-111-1-1-1-111
χ1722222222-2-2-2-2222222-2-2-2-2200002222222-2-2-2-2-2-2-2-2-2-22200000000-2-20000000000000000000000000000000000000000002-22-2
χ1822222222-2-2-2-2222222-2-2-2-2200002222222-2-2-2-2-2-2-2-2-2-22200000000-2-2000000000000000000000000000000000000000000-22-22
χ192222222-1222222-1-1-122222-1222222-1-1-1-1-1-1-1-12-1-1-1-1-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1000000000000022000-1-1-1-12200-1-1-1-100000000
χ202222222-1222222-1-1-122222-1222222-1-1-1-1-1-1-1-12-1-1-1-1-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000000000000-2-20001111-2-200111100000000
χ212222222-1222222-1-1-122222-1-2-2-2-222-1-1-1-1-1-1-1-12-1-1-1-1-12-1-1-2-211-2-211-1-111111111000000000000022000-1-1-1-1-2-200111100000000
χ222222222-1222222-1-1-122222-1-2-2-2-222-1-1-1-1-1-1-1-12-1-1-1-1-12-1-1-2-211-2-211-1-1111111110000000000000-2-200011112200-1-1-1-100000000
χ23222222-122222-1-1222-1-1-1-1-1-12222-1-122-1-1-1222-1-1-1-1-12-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12002-1-1000000-1-1000000000000
χ24222222-122222-1-1222-1-1-1-1-1-12222-1-122-1-1-1222-1-1-1-1-12-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-200-21100000011000000000000
χ25222222-122222-1-1222-1-1-1-1-1-1-2-2-2-2-1-122-1-1-1222-1-1-1-1-12-1-1-111-2-211-2-2-1-1111111112222-1-1-1-1-1-1-1-1-200-21100000011000000000000
χ26222222-122222-1-1222-1-1-1-1-1-1-2-2-2-2-1-122-1-1-1222-1-1-1-1-12-1-1-111-2-211-2-2-1-111111111-2-2-2-2111111112002-1-1000000-1-1000000000000
χ272222-2-222-222-2222222222220000-2-2-2-2222-222-22222-2-2-2-200000000-2-20000000000000000000000000000000000000000002-2-22
χ282222-2-222-222-2222222222220000-2-2-2-2222-222-22222-2-2-2-200000000-2-2000000000000000000000000000000000000000000-222-2
χ292222-2-22-12-2-2222-1-1-12-2-2-2-2-122-2-2-2-211-1-1-1-11121111-121122-1-1-2-211-1-1-1-1-1-1111100000000000002-2000-1-1112-200-1-11100000000
χ302222-2-22-12-2-2222-1-1-12-2-2-2-2-122-2-2-2-211-1-1-1-11121111-121122-1-1-2-211-1-1-1-1-1-111110000000000000-2200011-1-1-220011-1-100000000
χ312222-2-22-12-2-2222-1-1-12-2-2-2-2-1-2-222-2-211-1-1-1-11121111-1211-2-21122-1-1-1-11111-1-1-1-100000000000002-2000-1-111-220011-1-100000000
χ322222-2-22-12-2-2222-1-1-12-2-2-2-2-1-2-222-2-211-1-1-1-11121111-1211-2-21122-1-1-1-11111-1-1-1-10000000000000-2200011-1-12-200-1-11100000000
χ332222-2-2-122-2-22-1-1222-11111-122-2-211-2-2-1-1-12-2-2-111112-111-1-12211-2-2-1-1-1-1-1-1111122-2-2-1-1-1-11111200-2-1-100000011000000000000
χ342222-2-2-122-2-22-1-1222-11111-122-2-211-2-2-1-1-12-2-2-111112-111-1-12211-2-2-1-1-1-1-1-11111-2-2221111-1-1-1-1-200211000000-1-1000000000000
χ352222-2-2-122-2-22-1-1222-11111-1-2-22211-2-2-1-1-12-2-2-111112-11111-2-2-1-122-1-11111-1-1-1-122-2-2-1-1-1-11111-200211000000-1-1000000000000
χ362222-2-2-122-2-22-1-1222-11111-1-2-22211-2-2-1-1-12-2-2-111112-11111-2-2-1-122-1-11111-1-1-1-1-2-2221111-1-1-1-1200-2-1-100000011000000000000
χ3722-2-22-22222-2-2-2-22-2-2222-2-222i−2i2i−2i2-22-22-2-222-2222-2-2-2-22-22i−2i2i−2i2i−2i2i−2i2-22i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000
χ3822-2-22-22222-2-2-2-22-2-2222-2-22−2i2i−2i2i2-22-22-2-222-2222-2-2-2-22-2−2i2i−2i2i−2i2i−2i2i2-2−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000
χ3922-2-22-222-2-222-2-22-2-22-2-222200002-22-22-2-2-2-22-2-2-222222-200000000-22000000000000000000000000000000000000002-22-20000
χ4022-2-22-222-2-222-2-22-2-22-2-222200002-22-22-2-2-2-22-2-2-222222-200000000-2200000000000000000000000000000000000000-22-220000
χ4122-2-22-22-122-2-2-2-2-111222-2-2-12i−2i2i−2i2-2-11-111-1-112-1-1111-2-112i−2i−ii2i−2i−ii-11−i−iii−i−iii000000000000000000−i3i3−i3i300003−33−300000000
χ4222-2-22-22-122-2-2-2-2-111222-2-2-12i−2i2i−2i2-2-11-111-1-112-1-1111-2-112i−2i−ii2i−2i−ii-11−i−iii−i−iii000000000000000000i3−i3i3−i30000−33−3300000000
χ4322-2-22-22-122-2-2-2-2-111222-2-2-1−2i2i−2i2i2-2-11-111-1-112-1-1111-2-11−2i2ii−i−2i2ii−i-11ii−i−iii−i−i000000000000000000−i3i3−i3i30000−33−3300000000
χ4422-2-22-22-122-2-2-2-2-111222-2-2-1−2i2i−2i2i2-2-11-111-1-112-1-1111-2-11−2i2ii−i−2i2ii−i-11ii−i−iii−i−i000000000000000000i3−i3i3−i300003−33−300000000
χ4522-2-22-2-1222-2-2112-2-2-1-1-111-12i−2i2i−2i-112-2-11122-2-1-1-111-21-11−ii2i−2i−ii2i−2i-11−i−iii−i−iii000033−3−333−3−30000−i3i3000000−i3i3000000000000
χ4622-2-22-2-1222-2-2112-2-2-1-1-111-12i−2i2i−2i-112-2-11122-2-1-1-111-21-11−ii2i−2i−ii2i−2i-11−i−iii−i−iii0000−3−333−3−3330000i3−i3000000i3−i3000000000000
χ4722-2-22-2-1222-2-2112-2-2-1-1-111-1−2i2i−2i2i-112-2-11122-2-1-1-111-21-11i−i−2i2ii−i−2i2i-11ii−i−iii−i−i000033−3−333−3−30000i3−i3000000i3−i3000000000000
χ4822-2-22-2-1222-2-2112-2-2-1-1-111-1−2i2i−2i2i-112-2-11122-2-1-1-111-21-11i−i−2i2ii−i−2i2i-11ii−i−iii−i−i0000−3−333−3−3330000−i3i3000000−i3i3000000000000
χ4922-2-2-22222-22-2-2-22-2-22-2-22222i−2i−2i2i-22-222-2-22-222-2-222-2-2-222i−2i2i−2i−2i2i−2i2i2-22i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000000000
χ5022-2-2-22222-22-2-2-22-2-22-2-2222−2i2i2i−2i-22-222-2-22-222-2-222-2-2-22−2i2i−2i2i2i−2i2i−2i2-2−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000000000
χ5122-2-2-2222-22-22-2-22-2-2222-2-220000-22-222-2-2-22-2-222-2-222-2200000000-22000000000000000000000000000000000000002-2-220000
χ5222-2-2-2222-22-22-2-22-2-2222-2-220000-22-222-2-2-22-2-222-2-222-2200000000-2200000000000000000000000000000000000000-222-20000
χ5322-2-2-222-12-22-2-2-2-1112-2-222-12i−2i−2i2i-221-1-111-11-1211-1-11-21-12i−2i−ii−2i2ii−i-11−i−iiiii−i−i000000000000000000−i3i3i3−i300003−3−3300000000
χ5422-2-2-222-12-22-2-2-2-1112-2-222-12i−2i−2i2i-221-1-111-11-1211-1-11-21-12i−2i−ii−2i2ii−i-11−i−iiiii−i−i000000000000000000i3−i3−i3i30000−333−300000000
χ5522-2-2-222-12-22-2-2-2-1112-2-222-1−2i2i2i−2i-221-1-111-11-1211-1-11-21-1−2i2ii−i2i−2i−ii-11ii−i−i−i−iii000000000000000000−i3i3i3−i30000−333−300000000
χ5622-2-2-222-12-22-2-2-2-1112-2-222-1−2i2i2i−2i-221-1-111-11-1211-1-11-21-1−2i2ii−i2i−2i−ii-11ii−i−i−i−iii000000000000000000i3−i3−i3i300003−3−3300000000
χ5722-2-2-22-122-22-2112-2-2-111-1-1-12i−2i−2i2i1-1-22-1112-22-111-1-1-211-1−ii2i−2ii−i−2i2i-11−i−iiiii−i−i000033−3−3−3−3330000−i3i3000000i3−i3000000000000
χ5822-2-2-22-122-22-2112-2-2-111-1-1-12i−2i−2i2i1-1-22-1112-22-111-1-1-211-1−ii2i−2ii−i−2i2i-11−i−iiiii−i−i0000−3−33333−3−30000i3−i3000000−i3i3000000000000
χ5922-2-2-22-122-22-2112-2-2-111-1-1-1−2i2i2i−2i1-1-22-1112-22-111-1-1-211-1i−i−2i2i−ii2i−2i-11ii−i−i−i−iii000033−3−3−3−3330000i3−i3000000−i3i3000000000000
χ6022-2-2-22-122-22-2112-2-2-111-1-1-1−2i2i2i−2i1-1-22-1112-22-111-1-1-211-1i−i−2i2i−ii2i−2i-11ii−i−i−i−iii0000−3−33333−3−30000−i3i3000000i3−i3000000000000
χ614444444-2-4-4-4-444-2-2-24-4-4-4-4-2000044-2-2-2-2-2222-422222-4-2-200000000220000000000000000000000000000000000000000000000
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χ63444444-2-24444-2-2-2-2-2-2-2-2-2-214444-2-2-2-2111-2-2-2-21111-2-211-2-2-2-2-2-2-2-2111111111100000000000000000000000000000000000000
χ64444444-2-24444-2-2-2-2-2-2-2-2-2-21-4-4-4-4-2-2-2-2111-2-2-2-21111-2-2112222222211-1-1-1-1-1-1-1-100000000000000000000000000000000000000
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χ8244-4-4-44-2-24-44-422-222-222-2-21−4i4i4i−4i2-22-21-1-1-22-2-2-1-11122-112i−2i2i−2i−2i2i−2i2i1-1−i−iiiii−i−i00000000000000000000000000000000000000
χ8344-4-4-44-2-2-44-4422-222-2-2-222100002-22-21-1-12-22211-1-1-2-2-1100000000-113i−3i−3i3i−3i3i3i−3i00000000000000000000000000000000000000
χ8444-4-4-44-2-2-44-4422-222-2-2-222100002-22-21-1-12-22211-1-1-2-2-1100000000-11−3i3i3i−3i3i−3i−3i3i00000000000000000000000000000000000000
χ854-44-4004400004-4-44-4-40000400000000-44-400000000000000000000000000000022−220022−2222−22000000000000000000000000000000
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χ954-4-4400-2400002-2-4-442−232323−23-20000000022-20000−232323−2300000000000000000000000022−226−6−66−222−200000000000000000000000000
χ964-4-4400-2400002-2-4-442−232323−23-20000000022-20000−232323−23000000000000000000000000−2222−666−62−2−2200000000000000000000000000
χ978-88-8008-400008-84-44-80000-4000000004-4400000000000000000000000000000000000000000000000000000000000000000000
χ988-88-800-4-40000-444-44443−4343−43200000000-22-20000−2323−2323000000000000000000000000000000000000000000000000000000000000
χ998-88-800-4-40000-444-444−4343−4343200000000-22-2000023−2323−23000000000000000000000000000000000000000000000000000000000000
χ1008-8-88008-40000-8844-4-80000-40000000044-400000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-400004-444-4443−43−4343200000000-2-220000−232323−23000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-400004-444-44−434343−43200000000-2-22000023−23−2323000000000000000000000000000000000000000000000000000000000000

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