Finite Group Databasebeta

← Group #11887122

Character table — Group #11887122

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111222222222222222244444444444444444444444666666668888888888888888888812121212121212121212121212121212121224242424242424242424242424363636367272
order12222233446666666666223466666666666661212121212122244888826666666666666612121212124444668812122424242424242424244661212121212121212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-111-1-111-1-111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-11111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111111111111111-1-1-1-1-111-1-1-1-1-1-11111-1-1
χ611111111111111111111-1-11111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-1-1-111
χ711111111111111111111-1-11111-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-111-1-11111111111-111-1-111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111111111-1-1
χ91111-1-111111-1-1-1-111111111-1-1-1111111-1-1-1-111-1-111111-1-11111-111-1-1-1-11111-1-1-1-1-111-1-11-11111-1-1-1-11111-1-1-1-11-1-111-11-1-111-1-1-1-111-11
χ101111-1-111111-1-1-1-111111111-1-1-1111111-1-1-1-111-1-111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-111-1-11-1-1-11111-1-1-1-1-1-111111-1111-11-1-1-1-11111-1-11-1
χ111111-1-111111-1-1-1-111111111-1-1-1111111-1-1-1-111-1-1111-1-1111111-111-1-1-1-11111-1-1-1-1-111-1-1-1111-1-1-1-1111111-1-1-1-1-11-1-1-11-11111-1-111-1-11-1
χ121111-1-111111-1-1-1-111111111-1-1-1111111-1-1-1-111-1-1111-1-111-1-1-1-1-111-1-1-1-11111-1-1-1-1-111-1-1-11-1-1-1-11111-1-1-1-11111-111-1-11-111-1-111-1-111-11
χ131111-1-111111-1-1-1-111111-1-11-1-1-1-1-1-1-111-1-1-1-111-1-111111-1-111111-1-11111-1-1-1-11111-111-1-11-1-1-111-1-1-1-11111-1-1-1-1-111-1-1-1111-1-111-1-1111-1
χ141111-1-111111-1-1-1-111111-1-11-1-1-1-1-1-1-111-1-1-1-111-1-111111-1-1-1-1-1-11-1-11111-1-1-1-11111-111-1-11-1111111-1-1-1-1-1-11111-11-1-1-1-111111-1-111-1-1-11
χ151111-1-111111-1-1-1-111111-1-11-1-1-1-1-1-1-111-1-1-1-111-1-1111-1-11111111-1-11111-1-1-1-11111-111-1-1-11-1-1-1-1-1-1111111-1-1-1-11-11111-1-1-1-1-11111-1-1-11
χ161111-1-111111-1-1-1-111111-1-11-1-1-1-1-1-1-111-1-1-1-111-1-1111-1-111-1-1-1-11-1-11111-1-1-1-11111-111-1-1-1111-1-11111-1-1-1-111111-1-1111-1-1-111-1-1-1-1111-1
χ1722222222-2-22222222222002-22200002222222-2-2-2-2-2-222220000000000000000000-2-2-2-2-2-2-2002200220000000000000-2-2000000000000
χ1822222222-2-22222222222002-22200002222222-2-2-2-2-2-2-2-2-2-20000000000000000000-2-2-2-2-22200-2-200-2-2000000000000022000000000000
χ192222222-122222222-1-1-1222-12-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-122222000022222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12200-1-100-1-100000000220-1-1-1-1-1-10000000000
χ202222222-122222222-1-1-1222-12-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-12-2-2-2-2000022222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20011001100000000-2-201111110000000000
χ212222222-122222222-1-1-12-2-2-12-1-11111-1-1-1-1-1-1-1222-1-1222220000-2-2-2-2-21111111111-1-1-1-1-12200-1-100-1-100000000-2-2011-1-1110000000000
χ222222222-122222222-1-1-12-2-2-12-1-11111-1-1-1-1-1-1-1222-1-12-2-2-2-20000-2-2-2-2-21111111111-1-1-1-1-1-2-20011001100000000220-1-111-1-10000000000
χ232222222-1-2-2222222-1-1-1200-1-2-1-1−i3−i3i3i3-1-1-1-1-1-1-1-2-2-211-22222000000000−i3i3−i3−i3i3i3−i3−i3i3i311111-2-200-1-100-1-100000000000−i3i311−i3i30000000000
χ242222222-1-2-2222222-1-1-1200-1-2-1-1−i3−i3i3i3-1-1-1-1-1-1-1-2-2-211-2-2-2-2-2000000000−i3i3−i3−i3i3i3−i3−i3i3i311111220011001100000000000i3−i3-1-1i3−i30000000000
χ252222222-1-2-2222222-1-1-1200-1-2-1-1i3i3−i3−i3-1-1-1-1-1-1-1-2-2-211-22222000000000i3−i3i3i3−i3−i3i3i3−i3−i311111-2-200-1-100-1-100000000000i3−i311i3−i30000000000
χ262222222-1-2-2222222-1-1-1200-1-2-1-1i3i3−i3−i3-1-1-1-1-1-1-1-2-2-211-2-2-2-2-2000000000i3−i3i3i3−i3−i3i3i3−i3−i311111220011001100000000000−i3i3-1-1−i3i30000000000
χ27222222-1222-1-1-1-1-1-1222-122-12222222-1-1-1-1-1-1-1-1-1-122-1000022222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-10022002200-1-1-1-1-1-1-1-1002000000-1-1-1-1000000
χ28222222-1222-1-1-1-1-1-1222-122-12222222-1-1-1-1-1-1-1-1-1-122-10000-2-2-2-22-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-100-2-200-2-2001111111100-20000001111000000
χ29222222-1222-1-1-1-1-1-1222-1-2-2-1222-2-2-2-2-1-1-1-1-1-1-1-1-1-122-100002222-21111-2-2111111112-1-1-1-100-2-2002200-1-1-1-1-1-1-1-100-20000001111000000
χ30222222-1222-1-1-1-1-1-1222-1-2-2-1222-2-2-2-2-1-1-1-1-1-1-1-1-1-122-10000-2-2-2-2-21111-2-2111111112-1-1-1-1002200-2-20011111111002000000-1-1-1-1000000
χ312222-2-222-2-22-2-2-2-2222220022-2-2000022-2-2-2-22-222-2-2-222-2-200000000000000000002-2-222-22002200-2-200000000000002-2000000000000
χ322222-2-222-2-22-2-2-2-2222220022-2-2000022-2-2-2-22-222-2-2-2-2-22200000000000000000002-2-2222-200-2-200220000000000000-22000000000000
χ332222-2-22-1222-2-2-2-22-1-1-1222-1-211-1-1-1-1-1-11111-12-2-2-1-1222-2-20000-222-2-211-1-1-1-111111-1-1112-200-1-10011000000002-20-1-11-1110000000000
χ342222-2-22-1222-2-2-2-22-1-1-1222-1-211-1-1-1-1-1-11111-12-2-2-1-12-2-2220000-222-2-211-1-1-1-111111-1-111-22001100-1-100000000-22011-11-1-10000000000
χ352222-2-22-1222-2-2-2-22-1-1-12-2-2-1-2111111-1-11111-12-2-2-1-1222-2-200002-2-222-1-11111-1-1-1-11-1-1112-200-1-1001100000000-220111-1-1-10000000000
χ362222-2-22-1222-2-2-2-22-1-1-12-2-2-1-2111111-1-11111-12-2-2-1-12-2-22200002-2-222-1-11111-1-1-1-11-1-111-22001100-1-1000000002-20-1-1-11110000000000
χ372222-2-22-1-2-22-2-2-2-22-1-1-1200-1211−i3−i3i3i3-1-11111-1-22211-222-2-2000000000i3−i3−i3−i3i3i3i3i3−i3−i3-111-1-1-2200-1-1001100000000000−i3i3-11i3−i30000000000
χ382222-2-22-1-2-22-2-2-2-22-1-1-1200-1211−i3−i3i3i3-1-11111-1-22211-2-2-222000000000i3−i3−i3−i3i3i3i3i3−i3−i3-111-1-12-2001100-1-100000000000i3−i31-1−i3i30000000000
χ392222-2-22-1-2-22-2-2-2-22-1-1-1200-1211i3i3−i3−i3-1-11111-1-22211-222-2-2000000000−i3i3i3i3−i3−i3−i3−i3i3i3-111-1-1-2200-1-1001100000000000i3−i3-11−i3i30000000000
χ402222-2-22-1-2-22-2-2-2-22-1-1-1200-1211i3i3−i3−i3-1-11111-1-22211-2-2-222000000000−i3i3i3i3−i3−i3−i3−i3i3i3-111-1-12-2001100-1-100000000000−i3i31-1i3−i30000000000
χ412222-2-2-1222-11111-1222-122-1-2-2-22222-1-11111-1-11122-100002222-2-1-111-2-2-1-1-1-11111-2-1-111002200-2-200-1-1-1-1111100-2000000-1-111000000
χ422222-2-2-1222-11111-1222-122-1-2-2-22222-1-11111-1-11122-10000-2-2-2-2-2-1-111-2-2-1-1-1-11111-2-1-11100-2-20022001111-1-1-1-100200000011-1-1000000
χ432222-2-2-1222-11111-1222-1-2-2-1-2-2-2-2-2-2-2-1-11111-1-11122-100002222211-1-1221111-1-1-1-1-2-1-11100-2-200-2-200-1-1-1-1111100200000011-1-1000000
χ442222-2-2-1222-11111-1222-1-2-2-1-2-2-2-2-2-2-2-1-11111-1-11122-10000-2-2-2-2211-1-1221111-1-1-1-1-2-1-11100220022001111-1-1-1-100-2000000-1-111000000
χ4522-2-22-22200222-2-2-2-2-22-200202-200002-222-2-2-20000002-22-2−i2−i2i2i20000000000000000000000002-2−i2i22-2−i2−i2i2i2−i2−i2i2i20000000000000−i2i2−i2i200
χ4622-2-22-22200222-2-2-2-2-22-200202-200002-222-2-2-20000002-22-2i2i2−i2−i20000000000000000000000002-2i2−i22-2i2i2−i2−i2i2i2−i2−i20000000000000i2−i2i2−i200
χ4722-2-22-22200222-2-2-2-2-22-200202-200002-222-2-2-2000000-22-22−i2−i2i2i2000000000000000000000000-22−i2i2-22−i2−i2i2i2−i2−i2i2i20000000000000i2−i2i2−i200
χ4822-2-22-22200222-2-2-2-2-22-200202-200002-222-2-2-2000000-22-22i2i2−i2−i2000000000000000000000000-22i2−i2-22i2i2−i2−i2i2i2−i2−i20000000000000−i2i2−i2i200
χ4922-2-2-2222002-2-222-2-2-22-20020-2200002-2-2-222-20000002-2-22−i2−i2i2i20000000000000000000000002-2i2−i2-22−i2−i2i2i2i2i2−i2−i20000000000000i2−i2−i2i200
χ5022-2-2-2222002-2-222-2-2-22-20020-2200002-2-2-222-20000002-2-22i2i2−i2−i20000000000000000000000002-2−i2i2-22i2i2−i2−i2−i2−i2i2i20000000000000−i2i2i2−i200
χ5122-2-2-2222002-2-222-2-2-22-20020-2200002-2-2-222-2000000-222-2−i2−i2i2i2000000000000000000000000-22i2−i22-2−i2−i2i2i2i2i2−i2−i20000000000000−i2i2i2−i200
χ5222-2-2-2222002-2-222-2-2-22-20020-2200002-2-2-222-2000000-222-2i2i2−i2−i2000000000000000000000000-22−i2i22-2i2i2−i2−i2−i2−i2i2i20000000000000i2−i2−i2i200
χ532-22-200222-2-200002-22-2-22-220002-22-2-2-2000022002-2-200002i−2i2i−2i02-200002-22-2000002-200002i−2i0000002i−2i2i−2i00000000000002i−2i00000000
χ542-22-200222-2-200002-22-2-22-220002-22-2-2-2000022002-2-20000−2i2i−2i2i02-200002-22-2000002-20000−2i2i000000−2i2i−2i2i0000000000000−2i2i00000000
χ552-22-200222-2-200002-22-2-2-222000-22-22-2-2000022002-2-200002i−2i2i−2i0-220000-22-22000002-20000−2i2i0000002i−2i2i−2i0000000000000−2i2i00000000
χ562-22-200222-2-200002-22-2-2-222000-22-22-2-2000022002-2-20000−2i2i−2i2i0-220000-22-22000002-200002i−2i000000−2i2i−2i2i00000000000002i−2i00000000
χ572-22-200-122-21−i3i3−i3i3-1-22-212-2-10002-22-211−i3i3−i3i3-1-1−i3i32-2100002i−2i2i−2i0-11−i3i300-11-11−i3i3−i3i30-11−i3i3002i−2i000000−ii−ii3−33−3000000000−ii3−3000000
χ582-22-200-122-21−i3i3−i3i3-1-22-212-2-10002-22-211−i3i3−i3i3-1-1−i3i32-210000−2i2i−2i2i0-11−i3i300-11-11−i3i3−i3i30-11−i3i300−2i2i000000i−ii−i−33−33000000000i−i−33000000
χ592-22-200-122-21−i3i3−i3i3-1-22-21-22-1000-22-2211−i3i3−i3i3-1-1−i3i32-2100002i−2i2i−2i01-1i3−i3001-11-1i3−i3i3−i30-11−i3i300−2i2i000000−ii−ii3−33−3000000000i−i−33000000
χ602-22-200-122-21−i3i3−i3i3-1-22-21-22-1000-22-2211−i3i3−i3i3-1-1−i3i32-210000−2i2i−2i2i01-1i3−i3001-11-1i3−i3i3−i30-11−i3i3002i−2i000000i−ii−i−33−33000000000−ii3−3000000
χ612-22-200-122-21i3−i3i3−i3-1-22-212-2-10002-22-211i3−i3i3−i3-1-1i3−i32-2100002i−2i2i−2i0-11i3−i300-11-11i3−i3i3−i30-11i3−i3002i−2i000000−ii−ii−33−33000000000−ii−33000000
χ622-22-200-122-21i3−i3i3−i3-1-22-212-2-10002-22-211i3−i3i3−i3-1-1i3−i32-210000−2i2i−2i2i0-11i3−i300-11-11i3−i3i3−i30-11i3−i300−2i2i000000i−ii−i3−33−3000000000i−i3−3000000
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χ67444444-2-244-2-2-2-2-2-2-2-2-2-2-4-414-2-222221111111-2-2-2-2-2-200000000-4222222-1-1-1-1-1-1-1-1-211110000000000000000000000000000000000000
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χ724444-4-4-2-244-22222-2-2-2-2-2-4-41-422222211-1-1-1-11-222-2-2-200000000422-2-2-2-2-1-1-1-11111211-1-10000000000000000000000000000000000000
χ734444-4-4-2-2-4-4-22222-2-2-2-2-2001422−2i3−2i32i32i311-1-1-1-112-2-222200000000000002i3−2i3i3i3−i3−i3−i3−i3i3i3-2-1-1110000000000000000000000000000000000000
χ744444-4-4-2-2-4-4-22222-2-2-2-2-20014222i32i3−2i3−2i311-1-1-1-112-2-22220000000000000−2i32i3−i3−i3i3i3i3i3−i3−i3-2-1-1110000000000000000000000000000000000000
χ7544-4-44-44-200444-4-4-422-2-400-20-220000-22-2-22220000004-44-40000000000000000000000000000-2200-22000000000000000000000000000
χ7644-4-44-44-200444-4-4-422-2-400-20-220000-22-2-2222000000-44-4400000000000000000000000000002-2002-2000000000000000000000000000
χ7744-4-44-4-2400-2-2-2222-4-44200-204-40000-22-2-22220000000000−2i2−2i22i22i200000000000000000000000000−2i22i200i2i2−i2−i2i2i2−i2−i20000000000000000000
χ7844-4-44-4-2400-2-2-2222-4-44200-204-40000-22-2-222200000000002i22i2−2i2−2i2000000000000000000000000002i2−2i200−i2−i2i2i2−i2−i2i2i20000000000000000000
χ7944-4-4-444-2004-4-444-422-2-400-202-20000-2222-2-220000004-4-440000000000000000000000000000-22002-2000000000000000000000000000
χ8044-4-4-444-2004-4-444-422-2-400-202-20000-2222-2-22000000-444-400000000000000000000000000002-200-22000000000000000000000000000
χ8144-4-4-44-2400-222-2-22-4-44200-20-440000-2222-2-220000000000−2i2−2i22i22i2000000000000000000000000002i2−2i200i2i2−i2−i2−i2−i2i2i20000000000000000000
χ8244-4-4-44-2400-222-2-22-4-44200-20-440000-2222-2-2200000000002i22i2−2i2−2i200000000000000000000000000−2i22i200−i2−i2i2i2i2i2−i2−i20000000000000000000
χ834-44-40044-44-400004-44-4-40040000000-4-400004-400-444000000000000000000000000-44000000000000000000000000000000000000000
χ844-44-4004-24-4-4000042-22-44-4-2000-22-22220000-2400-22-40000000004-40000-22-2200000-22000000000000000000000000000000000000000
χ854-44-4004-24-4-4000042-22-4-44-20002-22-2220000-2400-22-4000000000-4400002-22-200000-22000000000000000000000000000000000000000
χ864-44-4004-2-44-4000042-22-400-2000−2i32i32i3−2i3220000-2-4002-24000000000000000−2i32i32i3−2i3000002-2000000000000000000000000000000000000000
χ874-44-4004-2-44-4000042-22-400-20002i3−2i3−2i32i3220000-2-4002-240000000000000002i3−2i3−2i32i3000002-2000000000000000000000000000000000000000
χ884-44-400-24-442−2i32i3−2i32i3-2-44-4200-2000000022−2i32i3−2i32i3-222i3−2i3-44-20000000000000000000000002-22i3−2i30000000000000000000000000000000000000
χ894-44-400-24-4422i3−2i32i3−2i3-2-44-4200-20000000222i3−2i32i3−2i3-22−2i32i3-44-20000000000000000000000002-2−2i32i30000000000000000000000000000000000000
χ904-44-400-2-24-42−2i32i3−2i32i3-22-2224-41000-22-22-1-1i3−i3i3−i31-2−2i32i3-222000000000-22−2i32i3001-11-1i3−i3i3−i301-1i3−i30000000000000000000000000000000000000
χ914-44-400-2-24-42−2i32i3−2i32i3-22-222-4410002-22-2-1-1i3−i3i3−i31-2−2i32i3-2220000000002-22i3−2i300-11-11−i3i3−i3i301-1i3−i30000000000000000000000000000000000000
χ924-44-400-2-24-422i3−2i32i3−2i3-22-2224-41000-22-22-1-1−i3i3−i3i31-22i3−2i3-222000000000-222i3−2i3001-11-1−i3i3−i3i301-1−i3i30000000000000000000000000000000000000
χ934-44-400-2-24-422i3−2i32i3−2i3-22-222-4410002-22-2-1-1−i3i3−i3i31-22i3−2i3-2220000000002-2−2i32i300-11-11i3−i3i3−i301-1−i3i30000000000000000000000000000000000000
χ944-44-400-2-2-442−2i32i3−2i32i3-22-222001000−2i32i32i3−2i3-1-1i3−i3i3−i3122i3−2i32-2-2000000000000000i3−i3−i3i3-333-30-11−i3i30000000000000000000000000000000000000
χ954-44-400-2-2-442−2i32i3−2i32i3-22-2220010002i3−2i3−2i32i3-1-1i3−i3i3−i3122i3−2i32-2-2000000000000000−i3i3i3−i33-3-330-11−i3i30000000000000000000000000000000000000
χ964-44-400-2-2-4422i3−2i32i3−2i3-22-222001000−2i32i32i3−2i3-1-1−i3i3−i3i312−2i32i32-2-2000000000000000i3−i3−i3i33-3-330-11i3−i30000000000000000000000000000000000000
χ974-44-400-2-2-4422i3−2i32i3−2i3-22-2220010002i3−2i3−2i32i3-1-1−i3i3−i3i312−2i32i32-2-2000000000000000−i3i3i3−i3-333-30-11i3−i30000000000000000000000000000000000000
χ984-4-44004400-40000-44-4-440040000000-440000-4000000000022−22−222200000000000000000000000000000022−22−222200000000000000000000000
χ994-4-44004400-40000-44-4-440040000000-440000-40000000000−222222−22000000000000000000000000000000−222222−2200000000000000000000000
χ1004-4-4400-24002−2i32i32i3−2i324-4-4-200-200000002-2−2i32i32i3−2i32000000000022−22−2222000000000000000000000000000000−222−2−i6i6i6−i60000000000000000000
χ1014-4-4400-24002−2i32i32i3−2i324-4-4-200-200000002-2−2i32i32i3−2i320000000000−222222−220000000000000000000000000000002−2−22i6−i6−i6i60000000000000000000
χ1024-4-4400-240022i3−2i3−2i32i324-4-4-200-200000002-22i3−2i3−2i32i32000000000022−22−2222000000000000000000000000000000−222−2i6−i6−i6i60000000000000000000
χ1034-4-4400-240022i3−2i3−2i32i324-4-4-200-200000002-22i3−2i3−2i32i320000000000−222222−220000000000000000000000000000002−2−22−i6i6i6−i60000000000000000000
χ10488-8-88-8-4-400-4-4-444444-440020-4400002-222-2-2-200000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-88-4-400-444-4-4444-4400204-400002-2-2-222-200000000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-88008-400-80000-8-444800-400000004-40000400000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-8800-4-4004−4i34i34i3−4i34-444-40020000000-222i3−2i3−2i32i3-200000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8800-4-40044i3−4i3−4i34i34-444-40020000000-22−2i32i32i3−2i3-200000000000000000000000000000000000000000000000000000000000000000000000

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