Finite Group Databasebeta

← Group #13172013

Character table — Group #13172013

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444444444666666668888888888888121212121212121212121212121212121212121212121212121218182424242424242424242424243636363636363636363636727272108108
order1222333666666666233366666666666666666224466663666666666666224466666666666666121212121212121244666612121212121212124444412121212121212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-11-111111111111111111111-1-111-1-1-1-1-111111-1-1-1-11-1-1-1-11111-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-11111111111111111111-1111111111111111-1-1-1-1-1-111-1-111111-1-1-1-1-1111-1-1-11-1-1-1-1-1-111-1-1-1
χ4111111111111111111111111111111111111111-1-1111111111111111111-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-1111
χ51111111111111111111111111111111111111-1-111-1-1-1-11111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111111111-11-11-111-1-1-1-1-1-11-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111111-1-11-1-1-11-1-1-1-1-1-111-111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-111-1-11-1-1-1-11111-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ91111111111111111-1111-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1111-1-1-1-1-11-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-11-1-11-1-1-111-1-11-11-11
χ101111111111111111-1111-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1111-1-1-1-1-1-1-11-1-111-1-11111-1-1-1-11111-1-11111-1-1-1-11-111-1-111-11-1-111111-1-1-11-11-1
χ111111111111111111-1111-1-1-1-1111111-1-1-1-111111-1-111111-1-1-1-1-1111-1-1-1-1-111-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-111-1-1111-1-111-1-1111-1-11-1
χ121111111111111111-1111-1-1-1-1111111-1-1-1-111111-1-111111-1-1-1-1-1111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1111-1-1-1-111-111-11
χ131111111111111111-1111-1-1-1-1111111-1-1-1-1111-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111-1-1-1-111-1111-1
χ141111111111111111-1111-1-1-1-1111111-1-1-1-1111-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-11-1-1111-1-111-1-1-1-111111111-1-111-1-1-1-1-1-11-111-1-111111-1-111-1-1111-1-1-11
χ151111111111111111-1111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-1111-111-1-111-1-1-1-11111-1-1-1-111-1-1111111-11-1-111-1-1-11-1-111111-1-1-11-1-11
χ161111111111111111-1111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-11-11111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111111-1-11-1-1-111-1-11-111-1
χ17222222-122-12-1-122222-1-122-1-12-1-1-1-1-1-1-1-1-122-122002222-1222-1-1-1-1-1-1-1-1-1220222-1-1-1-1-1-1-1-1-1-1-1-100000022002-1-1-1-100000-1-120002000000-1-1000
χ18222222-122-12-1-122222-1-122-1-12-1-1-1-1-1-1-1-1-122-122002222-1222-1-1-1-1-1-1-1-1-12-20-222-1-1-1-1-1-1-1-1-1-1-1-1000000-2-200-211110000011-2000-200000011000
χ19222222-122-12-1-122222-1-122-1-12-1-1-1-1-1-1-1-1-122-1-2-200-2-2-2-2-1222-1-1-1-1-1-1-1-1-1-2202-2-211111111111100000022002-1-1-1-100000-1-1-2000-200000011000
χ20222222-122-12-1-122222-1-122-1-12-1-1-1-1-1-1-1-1-122-1-2-200-2-2-2-2-1222-1-1-1-1-1-1-1-1-1-2-20-2-2-2111111111111000000-2-200-21111000001120002000000-1-1000
χ21222222-122-12-1-1222-22-1-1-2-2112-1-1-1-1-1111122-122002222-1-2-2-211-1-1-11111-220-2-2-2-1-111-1-1-1-11111000000-2-2002-1-1-1100000112000-2000000-11000
χ22222222-122-12-1-1222-22-1-1-2-2112-1-1-1-1-1111122-122002222-1-2-2-211-1-1-11111-2-202-2-2-1-111-1-1-1-111110000002200-2111-100000-1-1-200020000001-1000
χ23222222-122-12-1-1222-22-1-1-2-2112-1-1-1-1-1111122-1-2-200-2-2-2-2-1-2-2-211-1-1-11111220-22211-1-11111-1-1-1-1000000-2-2002-1-1-110000011-200020000001-1000
χ24222222-122-12-1-1222-22-1-1-2-2112-1-1-1-1-1111122-1-2-200-2-2-2-2-1-2-2-211-1-1-111112-2022211-1-11111-1-1-1-10000002200-2111-100000-1-12000-2000000-11000
χ2522222-12-122222-1-122-12-1-1-122-122-1-1-1-1-1-1-1-1-122222-1-1-1-1-12-1-122-1-1-1-1-1-1-12020-1-12222-1-1-1-1-1-1-1-122-1-1-1-10022000002-1-1-1-1000020000-1-1-1-100000
χ2622222-12-122222-1-122-12-1-1-122-122-1-1-1-1-1-1-1-1-1222-2-2-1-1-1-1-12-1-122-1-1-1-1-1-1-120-20-1-12222-1-1-1-1-1-1-1-1-2-2111100-2-200000-211110000-20000111100000
χ2722222-12-122222-1-122-12-1-1-122-122-1-1-1-1-1-1-1-1-12-2-2221111-12-1-122-1-1-1-1-1-1-1-202011-2-2-2-21111111122-1-1-1-100-2-2000002-1-1-1-10000-20000111100000
χ2822222-12-122222-1-122-12-1-1-122-122-1-1-1-1-1-1-1-1-12-2-2-2-21111-12-1-122-1-1-1-1-1-1-1-20-2011-2-2-2-211111111-2-21111002200000-21111000020000-1-1-1-100000
χ2922222-12-122222-1-12-2-12-111-2-2-122-1-1-11111-1-122222-1-1-1-1-1-211-2-2-1-1-11111-20-201122-2-2-1-1-1-1111122-1-111002200000-2-1-1110000-20000-1-11100000
χ3022222-12-122222-1-12-2-12-111-2-2-122-1-1-11111-1-1222-2-2-1-1-1-1-1-211-2-2-1-1-11111-20201122-2-2-1-1-1-11111-2-211-1-100-2-200000211-1-100002000011-1-100000
χ3122222-12-122222-1-12-2-12-111-2-2-122-1-1-11111-1-12-2-2221111-1-211-2-2-1-1-1111120-20-1-1-2-2221111-1-1-1-122-1-11100-2-200000-2-1-11100002000011-1-100000
χ3222222-12-122222-1-12-2-12-111-2-2-122-1-1-11111-1-12-2-2-2-21111-1-211-2-2-1-1-111112020-1-1-2-2221111-1-1-1-1-2-211-1-1002200000211-1-10000-20000-1-11100000
χ332222-1222-12-12222-12-1-122222-1-1-12222222-1-1-100220000-1-1-1-1-1-1-1-1-1-1-1-1-1022200000000000000-1-12222-1-100-12-1-12-1-1-1-1-1-1-102020-1-1000000-100
χ342222-1222-12-12222-12-1-122222-1-1-12222222-1-1-100220000-1-1-1-1-1-1-1-1-1-1-1-1-10-22-200000000000000-1-1222211001-211-2-1-1-1-1-1110-20-2011000000100
χ352222-1222-12-12222-12-1-122222-1-1-12222222-1-1-100-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-102-220000000000000011-2-2-2-2-1-100-12-1-1211111-1-10-20-2011000000100
χ362222-1222-12-12222-12-1-122222-1-1-12222222-1-1-100-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-10-2-2-20000000000000011-2-2-2-211001-211-2111111102020-1-1000000-100
χ372222-1222-12-12222-1-2-1-12-2-2-2-2-1-1-1222-2-2-2-2-1-1-100220000-111111-1-1-1111102-2-200000000000000-1-122-2-21100-12-1-1-21-1-111110-202011000000-100
χ382222-1222-12-12222-1-2-1-12-2-2-2-2-1-1-1222-2-2-2-2-1-1-100220000-111111-1-1-111110-2-2200000000000000-1-122-2-2-1-1001-21121-1-111-1-1020-20-1-1000000100
χ392222-1222-12-12222-1-2-1-12-2-2-2-2-1-1-1222-2-2-2-2-1-1-100-2-20000-111111-1-1-11111022-20000000000000011-2-2221100-12-1-1-2-111-1-111020-20-1-1000000100
χ402222-1222-12-12222-1-2-1-12-2-2-2-2-1-1-1222-2-2-2-2-1-1-100-2-20000-111111-1-1-111110-2220000000000000011-2-222-1-1001-2112-111-1-1-1-10-202011000000-100
χ4122-2-22222-2-222-2-2-2-20222000022-22-2-20000-2-2-22-22i−2i22-2-22000002-2-200000000002-20022-2-200002i−2i2i−2i00002i−2i0000002i−2i000000000002i−2i0000000
χ4222-2-22222-2-222-2-2-2-20222000022-22-2-20000-2-2-22-2−2i2i22-2-22000002-2-200000000002-20022-2-20000−2i2i−2i2i0000−2i2i000000−2i2i00000000000−2i2i0000000
χ4322-2-22222-2-222-2-2-2-20222000022-22-2-20000-2-2-2-222i−2i-2-2222000002-2-20000000000-2200-2-22200002i−2i2i−2i0000−2i2i0000002i−2i00000000000−2i2i0000000
χ4422-2-22222-2-222-2-2-2-20222000022-22-2-20000-2-2-2-22−2i2i-2-2222000002-2-20000000000-2200-2-2220000−2i2i−2i2i00002i−2i000000−2i2i000000000002i−2i0000000
χ4522-2-22-12-1-2-222-211-20-12-1−i3i300-12-2-111−i3−i3i3i311-22-22i−2i-1-111-10−i3i300-111−i3−i3i3i30000−i3i32-200-1-111−i3−i3i3i32i−2i−ii3−3002i−2i000000−ii3−3000000000−ii3−300000
χ4622-2-22-12-1-2-222-211-20-12-1−i3i300-12-2-111−i3−i3i3i311-22-2−2i2i-1-111-10−i3i300-111−i3−i3i3i30000−i3i32-200-1-111−i3−i3i3i3−2i2ii−i−3300−2i2i000000i−i−33000000000i−i−3300000
χ4722-2-22-12-1-2-222-211-20-12-1−i3i300-12-2-111−i3−i3i3i311-2-222i−2i11-1-1-10−i3i300-111−i3−i3i3i30000i3−i3-220011-1-1i3i3−i3−i32i−2i−ii3−300−2i2i000000−ii3−3000000000i−i−3300000
χ4822-2-22-12-1-2-222-211-20-12-1−i3i300-12-2-111−i3−i3i3i311-2-22−2i2i11-1-1-10−i3i300-111−i3−i3i3i30000i3−i3-220011-1-1i3i3−i3−i3−2i2ii−i−33002i−2i000000i−i−33000000000−ii3−300000
χ4922-2-22-12-1-2-222-211-20-12-1i3−i300-12-2-111i3i3−i3−i311-22-22i−2i-1-111-10i3−i300-111i3i3−i3−i30000i3−i32-200-1-111i3i3−i3−i32i−2i−ii−33002i−2i000000−ii−33000000000−ii−3300000
χ5022-2-22-12-1-2-222-211-20-12-1i3−i300-12-2-111i3i3−i3−i311-22-2−2i2i-1-111-10i3−i300-111i3i3−i3−i30000i3−i32-200-1-111i3i3−i3−i3−2i2ii−i3−300−2i2i000000i−i3−3000000000i−i3−300000
χ5122-2-22-12-1-2-222-211-20-12-1i3−i300-12-2-111i3i3−i3−i311-2-222i−2i11-1-1-10i3−i300-111i3i3−i3−i30000−i3i3-220011-1-1−i3−i3i3i32i−2i−ii−3300−2i2i000000−ii−33000000000i−i3−300000
χ5222-2-22-12-1-2-222-211-20-12-1i3−i300-12-2-111i3i3−i3−i311-2-22−2i2i11-1-1-10i3−i300-111i3i3−i3−i30000−i3i3-220011-1-1−i3−i3i3i3−2i2ii−i3−3002i−2i000000i−i3−3000000000−ii−3300000
χ5344444-2-2-24-24-2-2-2-244-2-21-2-2-2-2-2-2-21111111-2-2-24400-2-2-2-214-2-2-2-211111114000-2-2-2-2-2-21111111100000000000000000000000000000000000000
χ5444444-2-2-24-24-2-2-2-244-2-21-2-2-2-2-2-2-21111111-2-2-2-4-400222214-2-2-2-21111111-4000222222-1-1-1-1-1-1-1-100000000000000000000000000000000000000
χ5544444-2-2-24-24-2-2-2-24-4-2-212222-2-2-2111-1-1-1-1-2-2-24400-2-2-2-21-42222111-1-1-1-1-400022-2-2221111-1-1-1-100000000000000000000000000000000000000
χ5644444-2-2-24-24-2-2-2-24-4-2-212222-2-2-2111-1-1-1-1-2-2-2-4-40022221-42222111-1-1-1-14000-2-222-2-2-1-1-1-1111100000000000000000000000000000000000000
χ574444-24-24-2-2-2-2-244-24-21-244-2-2-211-2-2-2-2-2-2-2-2-21000000001-2-2-2111111111040400000000000000000000-2-200-2-211-200000110000000000000000
χ584444-24-24-2-2-2-2-244-24-21-244-2-2-211-2-2-2-2-2-2-2-2-21000000001-2-2-21111111110-40-400000000000000000000220022-1-1200000-1-10000000000000000
χ594444-24-24-2-2-2-2-244-2-4-21-2-4-422-211-2-2-22222-2-21000000001222-1-1111-1-1-1-1040-4000000000000000000002200-2-211200000-1-10000000000000000
χ604444-24-24-2-2-2-2-244-2-4-21-2-4-422-211-2-2-22222-2-21000000001222-1-1111-1-1-1-10-40400000000000000000000-2-20022-1-1-200000110000000000000000
χ614444-2-24-2-24-244-2-2-241-2-2-2-2441-2-2-2-2-2-2-2-2-211-2004400001-211-2-21111111004000000000000000-2-2-2-2-2-2000000000-21111000000000000000000
χ624444-2-24-2-24-244-2-2-241-2-2-2-2441-2-2-2-2-2-2-2-2-211-200-4-400001-211-2-2111111100-40000000000000002222220000000002-1-1-1-1000000000000000000
χ634444-2-24-2-24-244-2-2-2-41-2-222-4-41-2-2-2-2-2222211-20044000012-1-122111-1-1-1-100-4000000000000000-2-2-2-222000000000211-1-1000000000000000000
χ644444-2-24-2-24-244-2-2-2-41-2-222-4-41-2-2-2-2-2222211-200-4-4000012-1-122111-1-1-1-10040000000000000002222-2-2000000000-2-1-111000000000000000000
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χ6944-4-44-2-2-2-424-2222-40-2-212i3−2i300-2-221-1-1−i3−i3i3i32224-400-2-222102i3−2i3001-1-1−i3−i3i3i300002i3−2i3-220011-1-1−i3−i3i3i300000000000000000000000000000000000000
χ7044-4-44-2-2-2-424-2222-40-2-212i3−2i300-2-221-1-1−i3−i3i3i3222-440022-2-2102i3−2i3001-1-1−i3−i3i3i30000−2i32i32-200-1-111i3i3−i3−i300000000000000000000000000000000000000
χ7144-4-4-24442-4-24-4-4-420-2-240000-2-224-4-40000222004i−4i0000-200000-2220000000000000000000000−2i2i4i−4i000000000000−2i2i00000000000000000000
χ7244-4-4-24442-4-24-4-4-420-2-240000-2-224-4-4000022200−4i4i0000-200000-22200000000000000000000002i−2i−4i4i0000000000002i−2i00000000000000000000
χ7344-4-4-2-24-22-4-24-422201-2-2−2i32i3001-22-222−2i3−2i32i32i3-1-12004i−4i000010i3−i3001-1-1i3i3−i3−i3000000000000000000−2i2i−2i2i23−230000000000i−i−33000000000000000000
χ7444-4-4-2-24-22-4-24-422201-2-2−2i32i3001-22-222−2i3−2i32i32i3-1-1200−4i4i000010i3−i3001-1-1i3i3−i3−i30000000000000000002i−2i2i−2i−23230000000000−ii3−3000000000000000000
χ7544-4-4-2-24-22-4-24-422201-2-22i3−2i3001-22-2222i32i3−2i3−2i3-1-12004i−4i000010−i3i3001-1-1−i3−i3i3i3000000000000000000−2i2i−2i2i−23230000000000i−i3−3000000000000000000
χ7644-4-4-2-24-22-4-24-422201-2-22i3−2i3001-22-2222i32i3−2i3−2i3-1-1200−4i4i000010−i3i3001-1-1−i3−i3i3i30000000000000000002i−2i2i−2i23−230000000000−ii−33000000000000000000
χ774-44-4444-4-44-4-4-44-4404440000-4-4-4-44-400004-4400000000400000-44-4000000000000000000000000000000000000000000000000000000000000
χ784-44-444-2-4-4-2-4224-4404-2-200−2i32i3-4222-22−2i32i3−2i32i34-4-200000000-2000−2i32i32-22−2i32i3−2i32i300000000000000000000000000000000000000000000000000000000
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χ1004-4-444-2-2242-42-22-2-40-2-21000022-2-1-11-333-32-2200002i3−2i3−2i32i3100000-1-11-333-300000000−2i32i3−i3i3i3−i3i3−i3−i3i300000000000000000000000000000000000000
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χ10788-8-8-4-4-4-444-4-4444402224i3−4i30022-22-2-2−2i3−2i32i32i3-2-2-200000000-10−2i32i300-111i3i3−i3−i300000000000000000000000000000000000000000000000000000000
χ1088-88-8-4-484484-8-8-44-402-4-40000-2444-4400002-2-400000000200000-22-2000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-4-444-4444-44-4022200−4i34i3-2-2-2-22-22i3−2i32i3−2i32-2200000000-10002i3−2i31-11−i3i3−i3i300000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-444-4444-44-40222004i3−4i3-2-2-2-22-2−2i32i3−2i32i32-2200000000-1000−2i32i31-11i3−i3i3−i300000000000000000000000000000000000000000000000000000000
χ1118-8-88-48-4-8-4444-4-8840-42-400004-2244-400004-4-200000000200000-2-22000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-4-484-4-84-884-4402-4-40000-24-444-40000-22400000000200000-2-22000000000000000000000000000000000000000000000000000000000000
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χ1148-8-88-4-4-44-4444-44-4402220000-2-22-2-22-666-6-22-200000000-10000011-13-3-3300000000000000000000000000000000000000000000000000000000

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