Finite Group Databasebeta

← Group #11884128

Character table — Group #11884128

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222224444444444444444444444488888888888888888888121212121212121212121212121212121212121212122424242424242424242424242472727272
order12222233446666666666223466666666666661212121212122666666666666661212121212244444888812121212242424242424242444461212121212121212124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-111111111-1-11-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-11111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1
χ611111111111111111111-1-11111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-111
χ711111111111111111111-1-11111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111111-1-111
χ811111111111111111111-1-11111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-11111111111-1-1-11111-1-1-1-111-1-1
χ91111-1-1111111-1-1-1-11111111-1-1-1111111-1-1-1-11111-1-11-111-1-1-1-11111-1-1-1-1-111-1-11-1-111111-1-1-1-1111111-1-1-1-1-11-11-1-1-11111-1-1-11-11
χ101111-1-1111111-1-1-1-11111111-1-1-1111111-1-1-1-11111-1-11-111-1-1-1-11111-1-1-1-1-111-1-11-1-11-1-1-1-111-1-111-1-1-1-11111-1111-1-1-111-1-1111-11-1
χ111111-1-1111111-1-1-1-11111111-1-1-1111111-1-1-1-11111-1-11-111-1-1-1-11111-1-1-1-1-111-1-1-111-11111-1-111-1-11111-1-1-1-11-1-1-1111-1-111-1-11-11-1
χ121111-1-1111111-1-1-1-11111111-1-1-1111111-1-1-1-11111-1-11-111-1-1-1-11111-1-1-1-1-111-1-1-111-1-1-1-1-11111-1-1-1-1-1-111111-11-1111-1-1-1-111-11-11
χ131111-1-1111111-1-1-1-11111-1-11-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-11111-111-1-11-1-1111-1-111-1-111-1-1-1-111111-1-11-111-1-111-1-1-111-1
χ141111-1-1111111-1-1-1-11111-1-11-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-11111-111-1-11-1-11-1-111-1-1-1-1111111-1-1-1-11-111-111-1-1-1-1111-1-11
χ151111-1-1111111-1-1-1-11111-1-11-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-11111-111-1-1-111-111-1-11111-1-1-1-1-1-11111-11-1-11-1-11111-1-11-1-11
χ161111-1-1111111-1-1-1-11111-1-11-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-11111-111-1-1-111-1-1-111-1-111-1-11111-1-1-1-1-111-11-1-111-1-111-111-1
χ1722222222-2-22222222222002-22200002222222-2-2-2-2-2-2000000000000000-2-2-2-2-222-2-2000000-2-2-2-20000000000022000000000000
χ1822222222-2-22222222222002-22200002222222-2-2-2-2-2-2000000000000000-2-2-2-2-2-2-222000000222200000000000-2-2000000000000
χ192222222-122222222-1-1-1222-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000000-1-1-1-100000000220-1-1-1-1-1-100000000
χ202222222-122222222-1-1-1222-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000111100000000-2-2011111100000000
χ212222222-122222222-1-1-12-2-2-12-1-11111-1-1-1-1-1-1-1-1-12222-2-2-2-2-21111111111-1-1-1-1-12222000000-1-1-1-100000000-2-20-1-1111100000000
χ222222222-122222222-1-1-12-2-2-12-1-11111-1-1-1-1-1-1-1-1-12222-2-2-2-2-21111111111-1-1-1-1-1-2-2-2-200000011110000000022011-1-1-1-100000000
χ232222222-1-2-2222222-1-1-1200-1-2-1-1−i3−i3i3i3-1-1-1-1-1-1-111-2-2-2-200000−i3i3−i3−i3i3i3−i3−i3i3i31111122-2-2000000111100000000000-1-1−i3i3−i3i300000000
χ242222222-1-2-2222222-1-1-1200-1-2-1-1−i3−i3i3i3-1-1-1-1-1-1-111-2-2-2-200000−i3i3−i3−i3i3i3−i3−i3i3i311111-2-222000000-1-1-1-10000000000011i3−i3i3−i300000000
χ252222222-1-2-2222222-1-1-1200-1-2-1-1i3i3−i3−i3-1-1-1-1-1-1-111-2-2-2-200000i3−i3i3i3−i3−i3i3i3−i3−i31111122-2-2000000111100000000000-1-1i3−i3i3−i300000000
χ262222222-1-2-2222222-1-1-1200-1-2-1-1i3i3−i3−i3-1-1-1-1-1-1-111-2-2-2-200000i3−i3i3i3−i3−i3i3i3−i3−i311111-2-222000000-1-1-1-10000000000011−i3i3−i3i300000000
χ27222222-1222-1-1-1-1-1-1222-122-12222222-1-1-1-1-1-1-122-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-100002222220000-1-1-1-1-1-1-1-1002000000-1-1-1-10000
χ28222222-1222-1-1-1-1-1-1222-122-12222222-1-1-1-1-1-1-122-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-10000-2-2-2-2-2-200001111111100-200000011110000
χ29222222-1222-1-1-1-1-1-1222-1-2-2-1222-2-2-2-2-1-1-1-1-1-1-122-1-1-1-1-21111-2-2111111112-1-1-1-1000022-2-2-2-2000011111111002000000-1-1-1-10000
χ30222222-1222-1-1-1-1-1-1222-1-2-2-1222-2-2-2-2-1-1-1-1-1-1-122-1-1-1-1-21111-2-2111111112-1-1-1-10000-2-222220000-1-1-1-1-1-1-1-100-200000011110000
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χ322222-2-222-2-222-2-2-2-222220022-2-2000022-2-2-2-22-2-2-222-20000000000000002-2-222-22-22000000-2-22200000000000-22000000000000
χ332222-2-22-12222-2-2-2-2-1-1-1222-1-211-1-1-1-1-1-11111-1-1-12-2-22-222-2-211-1-1-1-111111-1-1112-2-2200000011-1-100000000-220-1111-1-100000000
χ342222-2-22-12222-2-2-2-2-1-1-1222-1-211-1-1-1-1-1-11111-1-1-12-2-22-222-2-211-1-1-1-111111-1-111-222-2000000-1-111000000002-201-1-1-11100000000
χ352222-2-22-12222-2-2-2-2-1-1-12-2-2-1-2111111-1-11111-1-1-12-2-222-2-222-1-11111-1-1-1-11-1-1112-2-2200000011-1-1000000002-20-11-1-11100000000
χ362222-2-22-12222-2-2-2-2-1-1-12-2-2-1-2111111-1-11111-1-1-12-2-222-2-222-1-11111-1-1-1-11-1-111-222-2000000-1-11100000000-2201-111-1-100000000
χ372222-2-22-1-2-222-2-2-2-2-1-1-1200-1211−i3−i3i3i3-1-11111-111-222-200000i3−i3−i3−i3i3i3i3i3−i3−i3-111-1-12-22-2000000-1-11100000000000-11i3−i3−i3i300000000
χ382222-2-22-1-2-222-2-2-2-2-1-1-1200-1211−i3−i3i3i3-1-11111-111-222-200000i3−i3−i3−i3i3i3i3i3−i3−i3-111-1-1-22-2200000011-1-1000000000001-1−i3i3i3−i300000000
χ392222-2-22-1-2-222-2-2-2-2-1-1-1200-1211i3i3−i3−i3-1-11111-111-222-200000−i3i3i3i3−i3−i3−i3−i3i3i3-111-1-12-22-2000000-1-11100000000000-11−i3i3i3−i300000000
χ402222-2-22-1-2-222-2-2-2-2-1-1-1200-1211i3i3−i3−i3-1-11111-111-222-200000−i3i3i3i3−i3−i3−i3−i3i3i3-111-1-1-22-2200000011-1-1000000000001-1i3−i3−i3i300000000
χ412222-2-2-1222-1-11111222-122-1-2-2-22222-1-11111-122-111-1-2-1-111-2-2-1-1-1-11111-2-1-11100002222-2-20000-1-1-1-1111100-2000000-1-1110000
χ422222-2-2-1222-1-11111222-122-1-2-2-22222-1-11111-122-111-1-2-1-111-2-2-1-1-1-11111-2-1-1110000-2-2-2-22200001111-1-1-1-100200000011-1-10000
χ432222-2-2-1222-1-11111222-1-2-2-1-2-2-2-2-2-2-2-1-11111-122-111-1211-1-1221111-1-1-1-1-2-1-111000022-2-22200001111-1-1-1-100-2000000-1-1110000
χ442222-2-2-1222-1-11111222-1-2-2-1-2-2-2-2-2-2-2-1-11111-122-111-1211-1-1221111-1-1-1-1-2-1-1110000-2-222-2-20000-1-1-1-1111100200000011-1-10000
χ452-2-220022-22-2-20000-2-2222-220002-22-2-2-2000022-2-200202-200002-22-2000002-20000002-22-200000022-2-200000000000002-2000000
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χ472-2-220022-22-2-20000-2-222-222000-22-22-2-2000022-2-20020-220000-22-22000002-20000002-2-22000000-2-22200000000000002-2000000
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χ492-2-2200-12-2211−i3−i3i3i3-2-22-12-2-10002-22-211−i3−i3i3i3-12-21−i3i3-10-11−i3i300-11-11−i3i3−i3i30-11−i3i300002-22-2000000-1-111−i3−i3i3i3000000000-11−i3i30000
χ502-2-2200-12-2211−i3−i3i3i3-2-22-12-2-10002-22-211−i3−i3i3i3-12-21−i3i3-10-11−i3i300-11-11−i3i3−i3i30-11−i3i30000-22-2200000011-1-1i3i3−i3−i30000000001-1i3−i30000
χ512-2-2200-12-2211−i3−i3i3i3-2-22-1-22-1000-22-2211−i3−i3i3i3-12-21−i3i3-101-1i3−i3001-11-1i3−i3i3−i30-11−i3i300002-2-2200000011-1-1i3i3−i3−i3000000000-11−i3i30000
χ522-2-2200-12-2211−i3−i3i3i3-2-22-1-22-1000-22-2211−i3−i3i3i3-12-21−i3i3-101-1i3−i3001-11-1i3−i3i3−i30-11−i3i30000-222-2000000-1-111−i3−i3i3i30000000001-1i3−i30000
χ532-2-2200-12-2211i3i3−i3−i3-2-22-12-2-10002-22-211i3i3−i3−i3-12-21i3−i3-10-11i3−i300-11-11i3−i3i3−i30-11i3−i300002-22-2000000-1-111i3i3−i3−i3000000000-11i3−i30000
χ542-2-2200-12-2211i3i3−i3−i3-2-22-12-2-10002-22-211i3i3−i3−i3-12-21i3−i3-10-11i3−i300-11-11i3−i3i3−i30-11i3−i30000-22-2200000011-1-1−i3−i3i3i30000000001-1−i3i30000
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χ60444444-2-2-4-4-2-2-2-2-2-2-2-2-2-2001-4-2-2−2i3−2i32i32i3111111122222200000−2i32i3i3i3−i3−i3i3i3−i3−i32-1-1-1-1000000000000000000000000000000000000000
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χ924-4-4400-2-24-4222i32i3−2i3−2i322-2-2001000−2i32i32i3−2i3-1-1−i3−i3i3i312-2-2−2i32i320000000i3−i3−i3i33-3-330-11i3−i3000000000000000000000000000000000000000
χ934-4-4400-2-24-4222i32i3−2i3−2i322-2-20010002i3−2i3−2i32i3-1-1−i3−i3i3i312-2-2−2i32i320000000−i3i3i3−i3-333-30-11i3−i3000000000000000000000000000000000000000
χ944-4-4400-2-2-4422−2i3−2i32i32i322-2-24-41000-22-22-1-1i3i3−i3−i31-222−2i32i3-20-22−2i32i3001-11-1i3−i3i3−i301-1i3−i3000000000000000000000000000000000000000
χ954-4-4400-2-2-4422−2i3−2i32i32i322-2-2-4410002-22-2-1-1i3i3−i3−i31-222−2i32i3-202-22i3−2i300-11-11−i3i3−i3i301-1i3−i3000000000000000000000000000000000000000
χ964-4-4400-2-2-44222i32i3−2i3−2i322-2-24-41000-22-22-1-1−i3−i3i3i31-2222i3−2i3-20-222i3−2i3001-11-1−i3i3−i3i301-1−i3i3000000000000000000000000000000000000000
χ974-4-4400-2-2-44222i32i3−2i3−2i322-2-2-4410002-22-2-1-1−i3−i3i3i31-2222i3−2i3-202-2−2i32i300-11-11i3−i3i3−i301-1−i3i3000000000000000000000000000000000000000
χ9888-8-88-8-4-400-44-44-44-44440020-4400002-22-22-2-200000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-88-4-400-444-44-4-444400204-400002-2-22-22-200000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8008-400-8800004-44-800-400000004-40000400000000000000000000000000000000000000000000000000000000000000000
χ1018-88-800-4-4004-4−4i34i34i3−4i34-4440020000000-222i3−2i3−2i32i3-200000000000000000000000000000000000000000000000000000000000000000
χ1028-88-800-4-4004-44i3−4i3−4i34i34-4440020000000-22−2i32i32i3−2i3-200000000000000000000000000000000000000000000000000000000000000000

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