Finite Group Databasebeta

← Group #11866208

Character table — Group #11866208

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order1222223344446666661212121236666666121212121212121212122466666666661212121212121212121244444444888824242424242424242266661212121212121212222288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1
χ91111-1-1111-1-11111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-111-11111-1-11111-1-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-1-1-11-111-1-111-1-111-1-111-1-11-1
χ101111-1-1111-1-11111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-111-11111-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-11-1-11111-1-1-1-111-1-111-11
χ111111-1-1111-1-11111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-111-11111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111-111-1-1-1-11111-1-1-1-111-11
χ121111-1-1111-1-11111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-111-11111-1-11111-1-1-1-111-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-11-1-111-1-111-1-11111-1-11-1
χ131111-1-1111-1-11111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-11111-11-1-11111-1-111-1-111-1-1-11
χ141111-1-1111-1-11111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-111111-111-1-111-1-1-1-111-1-1111-1
χ151111-1-1111-1-11111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-111-1-11111-1-1-1-1-11-1-111-1-11111-1-1-1-1111-1
χ161111-1-1111-1-11111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-11111-1-1-1-11-111-1-1-1-111-1-11111-1-1-11
χ1722222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-20000002200000000-2-2000000002-22-200000000000000000000002-22-2000000
χ1822222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-20000002200000000-2-200000000-22-220000000000000000000000-22-22000000
χ192222222-122222-122-1-12222-122-1-1-1-1-12-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000222200000000000022-1-1-1-10000-1-1-1-1000000
χ202222222-122222-122-1-12222-122-1-1-1-1-12-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-2-2-2000000000000-2-2111100001111000000
χ212222222-122222-122-1-12222-122-1-1-1-1-12-1-1-1-1-1-1-1-12-2-2-2-211-1-11111-2-211-1-1111100002222000000000000-2-211110000-1-1-1-1000000
χ222222222-122222-122-1-12222-122-1-1-1-1-12-1-1-1-1-1-1-1-12-2-2-2-211-1-11111-2-211-1-111110000-2-2-2-200000000000022-1-1-1-100001111000000
χ232222222-1-2-2-2-22-122-1-1-2-2-2-2-122-1-1-1-1-1-211111111-20000−i3i3-1-1−i3−i3i3i300−i3i311−i3−i3i3i300002-22-200000000000000−i3i3−i3i30000-11-11000000
χ242222222-1-2-2-2-22-122-1-1-2-2-2-2-122-1-1-1-1-1-211111111-20000−i3i3-1-1−i3−i3i3i300−i3i311−i3−i3i3i30000-22-2200000000000000i3−i3i3−i300001-11-1000000
χ252222222-1-2-2-2-22-122-1-1-2-2-2-2-122-1-1-1-1-1-211111111-20000i3−i3-1-1i3i3−i3−i300i3−i311i3i3−i3−i300002-22-200000000000000i3−i3i3−i30000-11-11000000
χ262222222-1-2-2-2-22-122-1-1-2-2-2-2-122-1-1-1-1-1-211111111-20000i3−i3-1-1i3i3−i3−i300i3−i311i3i3−i3−i30000-22-2200000000000000−i3i3−i3i300001-11-1000000
χ27222222-122222-12-1-122-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1222200002222-1-1-1-1-1-1-1-1000000-1-1-1-10000000000
χ28222222-122222-12-1-122-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-20000-2-2-2-21111111100000011110000000000
χ29222222-122222-12-1-122-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-2-211-2-2-1-1111111-2-2-1-1111122220000-2-2-2-211111111000000-1-1-1-10000000000
χ30222222-122222-12-1-122-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-2-211-2-2-1-1111111-2-2-1-11111-2-2-2-200002222-1-1-1-1-1-1-1-100000011110000000000
χ312222-2-222-222-222222222222-2-2-2-2222-2-2-2222222-2000000-2-200000000-2-2000000002-2-2200000000000000000000002-2-22000000
χ322222-2-222-222-222222222222-2-2-2-2222-2-2-2222222-2000000-2-200000000-2-200000000-222-20000000000000000000000-222-2000000
χ332222-2-22-12-2-222-122-1-1-2-2-2-2-1-2-211-1-1-12-1-111111122-222-1-111-1-1-1-1-2-211-1-11111000022-2-20000000000002-2-1-1110000-1-111000000
χ342222-2-22-12-2-222-122-1-1-2-2-2-2-1-2-211-1-1-12-1-111111122-222-1-111-1-1-1-1-2-211-1-111110000-2-222000000000000-2211-1-1000011-1-1000000
χ352222-2-22-12-2-222-122-1-1-2-2-2-2-1-2-211-1-1-12-1-11111112-22-2-21111111122-1-1-1-1-1-1-1-1000022-2-2000000000000-2211-1-10000-1-111000000
χ362222-2-22-12-2-222-122-1-1-2-2-2-2-1-2-211-1-1-12-1-11111112-22-2-21111111122-1-1-1-1-1-1-1-10000-2-2220000000000002-2-1-111000011-1-1000000
χ372222-2-22-1-222-22-122-1-12222-1-2-211-1-1-1-211-1-1-1-1-1-1-20000−i3i311−i3−i3i3i300i3−i311i3i3−i3−i300002-2-2200000000000000−i3i3i3−i30000-111-1000000
χ382222-2-22-1-222-22-122-1-12222-1-2-211-1-1-1-211-1-1-1-1-1-1-20000−i3i311−i3−i3i3i300i3−i311i3i3−i3−i30000-222-200000000000000i3−i3−i3i300001-1-11000000
χ392222-2-22-1-222-22-122-1-12222-1-2-211-1-1-1-211-1-1-1-1-1-1-20000i3−i311i3i3−i3−i300−i3i311−i3−i3i3i300002-2-2200000000000000i3−i3−i3i30000-111-1000000
χ402222-2-22-1-222-22-122-1-12222-1-2-211-1-1-1-211-1-1-1-1-1-1-20000i3−i311i3i3−i3−i300−i3i311−i3−i3i3i30000-222-200000000000000−i3i3i3−i300001-1-11000000
χ412222-2-2-122-2-22-12-1-1221111-111-2-2-1-1-1-122-2-21111-12-2-1-12211-1-1-1-111-2-2-1-1111122-2-2000022-2-2-1-1-1-11111000000-1-1110000000000
χ422222-2-2-122-2-22-12-1-1221111-111-2-2-1-1-1-122-2-21111-12-2-1-12211-1-1-1-111-2-2-1-11111-2-2220000-2-2221111-1-1-1-100000011-1-10000000000
χ432222-2-2-122-2-22-12-1-1221111-111-2-2-1-1-1-122-2-21111-1-2211-2-2111111-1-122-1-1-1-1-1-122-2-20000-2-2221111-1-1-1-1000000-1-1110000000000
χ442222-2-2-122-2-22-12-1-1221111-111-2-2-1-1-1-122-2-21111-1-2211-2-2111111-1-122-1-1-1-1-1-1-2-222000022-2-2-1-1-1-1111100000011-1-10000000000
χ4522-2-22-22222-2-222-2-2-2-222-2-222-22-2-2-2222-22-222-2-2-20000002-2000000002-200002i−2i2i−2i00000000000000000000002i−2i2i−2i0000000000
χ4622-2-22-22222-2-222-2-2-2-222-2-222-22-2-2-2222-22-222-2-2-20000002-2000000002-20000−2i2i−2i2i0000000000000000000000−2i2i−2i2i0000000000
χ4722-2-22-222-2-22222-2-2-2-2-2-22222-22-2-2-22-2-22-22-2-22220000002-200000000-22000000000000000000000000000000000000002-22-200
χ4822-2-22-222-2-22222-2-2-2-2-2-22222-22-2-2-22-2-22-22-2-22220000002-200000000-2200000000000000000000000000000000000000-22-2200
χ4922-2-22-2-1222-2-2-1211-2-2-1-111-1-112-211-1-12-22-2-1-111100−i3i300-11−i3i3−i3i3−i3i300-11−i3i3−i3i32i−2i2i−2i0000000033−3−333−3−3000000−ii−ii0000000000
χ5022-2-22-2-1222-2-2-1211-2-2-1-111-1-112-211-1-12-22-2-1-111100−i3i300-11−i3i3−i3i3−i3i300-11−i3i3−i3i3−2i2i−2i2i00000000−3−333−3−333000000i−ii−i0000000000
χ5122-2-22-2-1222-2-2-1211-2-2-1-111-1-112-211-1-12-22-2-1-111100i3−i300-11i3−i3i3−i3i3−i300-11i3−i3i3−i32i−2i2i−2i00000000−3−333−3−333000000−ii−ii0000000000
χ5222-2-22-2-1222-2-2-1211-2-2-1-111-1-112-211-1-12-22-2-1-111100i3−i300-11i3−i3i3−i3i3−i300-11i3−i3i3−i3−2i2i−2i2i0000000033−3−333−3−3000000i−ii−i0000000000
χ5322-2-2-22222-22-222-2-2-2-2-2-2222-22-22-2-2222-2-22-2-222-2000000-22000000002-200002i−2i−2i2i00000000000000000000002i−2i−2i2i0000000000
χ5422-2-2-22222-22-222-2-2-2-2-2-2222-22-22-2-2222-2-22-2-222-2000000-22000000002-20000−2i2i2i−2i0000000000000000000000−2i2i2i−2i0000000000
χ5522-2-2-2222-22-2222-2-2-2-222-2-22-22-22-2-22-2-222-222-2-22000000-2200000000-22000000000000000000000000000000000000002-2-2200
χ5622-2-2-2222-22-2222-2-2-2-222-2-22-22-22-2-22-2-222-222-2-22000000-2200000000-2200000000000000000000000000000000000000-222-200
χ5722-2-2-22-122-22-2-1211-2-211-1-1-11-1-2211-1-12-2-2211-1-1100−i3i3001-1−i3i3−i3i3i3−i300-11i3−i3i3−i32i−2i−2i2i0000000033−3−3−3−333000000−iii−i0000000000
χ5822-2-2-22-122-22-2-1211-2-211-1-1-11-1-2211-1-12-2-2211-1-1100−i3i3001-1−i3i3−i3i3i3−i300-11i3−i3i3−i3−2i2i2i−2i00000000−3−33333−3−3000000i−i−ii0000000000
χ5922-2-2-22-122-22-2-1211-2-211-1-1-11-1-2211-1-12-2-2211-1-1100i3−i3001-1i3−i3i3−i3−i3i300-11−i3i3−i3i32i−2i−2i2i00000000−3−33333−3−3000000−iii−i0000000000
χ6022-2-2-22-122-22-2-1211-2-211-1-1-11-1-2211-1-12-2-2211-1-1100i3−i3001-1i3−i3i3−i3−i3i300-11−i3i3−i3i3−2i2i2i−2i0000000033−3−3−3−333000000i−i−ii0000000000
χ61444444-24-4-4-4-4-24-2-2442222-2-2-244-2-2-22-4-4-4-422222000000-2-2000000002200000000000000000000000000000000000000000000
χ62444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-21111-244-2-2-2-2111111-2-2-2-21111110000000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-21111-2-4-4222211-1-1-1-1222211-1-1-1-10000000000000000000000000000000000000000
χ64444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2-211122222-1-1-1-120000−2i32i311i3i3−i3−i300−2i32i3-1-1i3i3−i3−i30000000000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2-211122222-1-1-1-1200002i3−2i311−i3−i3i3i3002i3−2i3-1-1−i3−i3i3i30000000000000000000000000000000000000000
χ664444-4-4-24-444-4-24-2-244-2-2-2-2-222-4-4-2-2-22-4-444-2-2-2-2200000022000000002200000000000000000000000000000000000000000000
χ674444-4-4-2-24-4-44-2-2-2-2-2-2222212222111-2-2-222-1-1-1-1-24-4-2-2-2-2-1-11111222211-1-1-1-10000000000000000000000000000000000000000
χ684444-4-4-2-24-4-44-2-2-2-2-2-2222212222111-2-2-222-1-1-1-1-2-442222-1-1-1-1-1-1-2-2-2-21111110000000000000000000000000000000000000000
χ694444-4-4-2-2-444-4-2-2-2-2-2-2-2-2-2-212222111222-2-2111120000−2i32i3-1-1i3i3−i3−i3002i3−2i3-1-1−i3−i3i3i30000000000000000000000000000000000000000
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χ8244-4-4-44-2-24-44-4-2-2222222-2-212-22-2-1-11-2-222-2-1-1112002i3−2i300-11−i3i3−i3i3−2i32i3001-1i3−i3i3−i30000000000000000000000000000000000000000
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χ8444-4-4-44-2-2-44-44-2-22222-2-22212-22-2-1-1122-2-2211-1-1-2000000-11-333-30000-113-3-330000000000000000000000000000000000000000
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χ964-4-4400-2400002-42-2-44−232323−23-200002-2200000−232323−23000000000000000000000000000000000−2222−666−62−2−2200000000000000000000
χ978-88-8008-40000-848-8-440000-40000-444000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-800-4-4000044-44-4443−4343−43200002-2-200000−2323−2323000000000000000000000000000000000000000000000000000000000000000
χ998-88-800-4-4000044-44-44−4343−4343200002-2-20000023−2323−23000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88008-40000-84-884-40000-400004-44000000000000000000000000000000000000000000000000000000000000000000000000
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).