Finite Group Databasebeta

← Group #13172222

Character table — Group #13172222

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order1222333666666666233366666666666666666444444121212123666666666666444121212121212121212121212121212121212121212124444121212121212121212121212244412121212121244612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-111-1-1111111111111111111-1-111-11-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111-1-1-1-1-1-1-111-1-11-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111-1-1-1-1-1-111-1111
χ51111111111111111111111111111111111111-1-1111111111111111111111-111-1-11111-1-1-1-1111111111111-1-1-1-11-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111111-1-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-11111-11-1-11111-1-111-1-1-11
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111-1
χ91111111111111111-1111-1-1-1-11111-1-1-1-1111111111-1-111111-1-1-1-1-1111-1-1-1-1-11-111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1111-1-1-1-1-1-11-111
χ101111111111111111-1111-1-1-1-11111-1-1-1-1111111111-1-111111-1-1-1-1-1111-1-1-1-1-1-111111-1-111-1-111-1-11111-1-1-1-111-1-1-1-1-1111-1-1-1-111-111-111-1-11111-11-1-1
χ111111111111111111-1111-1-1-1-11111-1-1-1-11111111-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-1-11-111-1-11111-1-1-1-111-1-1-1-11111-1-1111-11-111-1-111-1-11-11-1-1-111-1-11111-1-1
χ121111111111111111-1111-1-1-1-11111-1-1-1-11111111-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-1-1-1111111111-1-1-1-111-1-1-1-111111111-1-1-1111-1-1-1-111-1-1-11-1-11111-1-1-1-111
χ131111111111111111-1111-1-1-1-11111-1-1-1-111111-1-111-1-111111-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111111-1-1-11111-1-1-1-1-11-1-1111111-1-11-1
χ141111111111111111-1111-1-1-1-11111-1-1-1-111111-1-111-1-111111-1-1-1-1-1111-1-1-1-11-11-1-111-1-1-1-11111-1-11111-1-1-1-1-1-111-11-11-1-111-1-1111-11-1-1-111-1-1-1-111-11
χ151111111111111111-1111-1-1-1-11111-1-1-1-111111-1-1-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-111-1-1-1-1-111-1-111-1-111-1-1-1-1111111-1-1111-1-1-11111-1-1-111-111-1-111-1-1-11-11
χ161111111111111111-1111-1-1-1-11111-1-1-1-111111-1-1-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-11-11-1-11111-1-111-1-111-1-1-1-11111-1-1-1-1-11-11-1-111-1-11111-1111-1-1-1-1111-11-1
χ17222222-12-1-12222-1222-1-1222222-1-12222-1-1-1-122200000000-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-100222200000000000022002-1-12-1-1-1-1-1-1-1-120000000-1-100-1000
χ18222222-12-1-12222-1222-1-1222222-1-12222-1-1-1-122200000000-1-1-1-1-1-1-1-1-1-1-1-1-12-2-2-1-111002222000000000000-2-200-2-11-2-1-1-1-11111-2000000011001000
χ19222222-12-1-12222-1222-1-1222222-1-12222-1-1-1-12-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-22211-1-100-2-2-2-2000000000000-2-20021-121111-1-1-1-1-2000000011001000
χ20222222-12-1-12222-1222-1-1222222-1-12222-1-1-1-12-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2111100-2-2-2-20000000000002200-211-21111111120000000-1-100-1000
χ21222222-12-1-12222-12-22-1-1-2-2-2-222-1-1-2-2-2-2-1-1-1-122200000000-111111-1-1-11111-22-2-1-1110022-2-2000000000000-2-20021-1-2-1-111-1-111200000001100-1000
χ22222222-12-1-12222-12-22-1-1-2-2-2-222-1-1-2-2-2-2-1-1-1-122200000000-111111-1-1-11111-2-22-1-1-1-10022-2-20000000000002200-2112-1-11111-1-1-20000000-1-1001000
χ23222222-12-1-12222-12-22-1-1-2-2-2-222-1-1-2-2-2-2-1-1-1-12-2-200000000-111111-1-1-1111122-2111100-2-22200000000000022002-1-1-211-1-1-1-111-20000000-1-1001000
χ24222222-12-1-12222-12-22-1-1-2-2-2-222-1-1-2-2-2-2-1-1-1-12-2-200000000-111111-1-1-111112-2211-1-100-2-222000000000000-2-200-2-11211-1-111-1-1200000001100-1000
χ2522222-12222-12-1-1222-12-122-1-1-1-12-1-1-1-1-122-1-1-1222222-1-1-1-1-1222-1-1-1-1-1-1-1-1-12002200-1-1-1-1-1-12222-1-1-1-1-1-1-1-100220200-1-1-1-100000200-1-1-1-100000000
χ2622222-12222-12-1-1222-12-122-1-1-1-12-1-1-1-1-122-1-1-122-2-2-2-21111-1222-1-1-1-1-1-1-1-1-1200220011-1-1-1-1-2-2-2-21111111100-2-20200-1-1-1-100000-200111100000000
χ2722222-12222-12-1-1222-12-122-1-1-1-12-1-1-1-1-122-1-1-1-2-22222-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-200-2-200-1-111112222-1-1-1-1-1-1-1-100-2-20-200111100000-200111100000000
χ2822222-12222-12-1-1222-12-122-1-1-1-12-1-1-1-1-122-1-1-1-2-2-2-2-2-21111-1222-1-1-1-1-1-1-1-1-1-200-2-200111111-2-2-2-21111111100220-200111100000200-1-1-1-100000000
χ2922222-12222-12-1-122-2-12-1-2-211-1-12-1111122-1-1-12222-2-2-1-1-1-1-1-2-2-211-1-1-11111-200220011-1-11122-2-2-1-1-1-1111100-2-20-200-1-11100000200-1-11100000000
χ3022222-12222-12-1-122-2-12-1-2-211-1-12-1111122-1-1-122-2-2221111-1-2-2-211-1-1-11111-2002200-1-1-1-111-2-2221111-1-1-1-100220-200-1-11100000-20011-1-100000000
χ3122222-12222-12-1-122-2-12-1-2-211-1-12-1111122-1-1-1-2-222-2-2-1-1-1-1-1-2-2-211-1-1-11111200-2-2001111-1-122-2-2-1-1-1-111110022020011-1-100000-20011-1-100000000
χ3222222-12222-12-1-122-2-12-1-2-211-1-12-1111122-1-1-1-2-2-2-2221111-1-2-2-211-1-1-11111200-2-200-1-111-1-1-2-2221111-1-1-1-100-2-2020011-1-100000200-1-11100000000
χ332222-122-1222-1222-12-1-12-1-122-1-1-12-1-1-1-1-1-122-10022222222-12-1-122-1-1-1-1-1-1-10220022220000-1-1-1-1-1-1-1-1-1-1-1-10000-102-10000-1-1-1-10022000000000-1-10
χ342222-122-1222-1222-12-1-12-1-122-1-1-12-1-1-1-1-1-122-10022222222-12-1-122-1-1-1-1-1-1-10-2-200-2-2220000-1-1-1-1-1-1-1-1-1-1-1-1000010-210000111100-2-2000000000110
χ352222-122-1222-1222-12-1-12-1-122-1-1-12-1-1-1-1-1-122-100-2-2-2-2-2-2-2-2-12-1-122-1-1-1-1-1-1-10220022-2-200001111111111110000-102-10000-1-1-1-100-2-2000000000110
χ362222-122-1222-1222-12-1-12-1-122-1-1-12-1-1-1-1-1-122-100-2-2-2-2-2-2-2-2-12-1-122-1-1-1-1-1-1-10-2-200-2-2-2-20000111111111111000010-21000011110022000000000-1-10
χ372222-122-1222-1222-1-2-1-1211-2-2-1-1-121111-1-122-10022-2-22222-1-211-2-2-1-1-1111102-200-2-2-2-20000-1-111-1-1-1-111110000-10210000-1-11100-220000000001-10
χ382222-122-1222-1222-1-2-1-1211-2-2-1-1-121111-1-122-10022-2-22222-1-211-2-2-1-1-111110-220022-2-20000-1-111-1-1-1-11111000010-2-1000011-1-1002-2000000000-110
χ392222-122-1222-1222-1-2-1-1211-2-2-1-1-121111-1-122-100-2-222-2-2-2-2-1-211-2-2-1-1-1111102-200-2-222000011-1-11111-1-1-1-10000-10210000-1-111002-2000000000-110
χ402222-122-1222-1222-1-2-1-1211-2-2-1-1-121111-1-122-100-2-222-2-2-2-2-1-211-2-2-1-1-111110-22002222000011-1-11111-1-1-1-1000010-2-1000011-1-100-220000000001-10
χ4122-2-2222-2-2-2-222-22-2022200002-2-2-200002-22-2-2002i−2i002i2i−2i−2i2000002-2-2000000000000000002i−2i002i2i−2i−2i00002-200000000000000000000002-22i−2i0000
χ4222-2-2222-2-2-2-222-22-2022200002-2-2-200002-22-2-2002i−2i002i2i−2i−2i2000002-2-2000000000000000002i−2i002i2i−2i−2i0000-220000000000000000000000-22−2i2i0000
χ4322-2-2222-2-2-2-222-22-2022200002-2-2-200002-22-2-200−2i2i00−2i−2i2i2i2000002-2-200000000000000000−2i2i00−2i−2i2i2i00002-200000000000000000000002-2−2i2i0000
χ4422-2-2222-2-2-2-222-22-2022200002-2-2-200002-22-2-200−2i2i00−2i−2i2i2i2000002-2-200000000000000000−2i2i00−2i−2i2i2i0000-220000000000000000000000-222i−2i0000
χ452-2-22222-22-22-2-2-2-2202220000-2-2-220000-22-2-222i−2i002-20000200000-22-200000002i−2i002-22i−2i00002-2000022-2-2002i−2i00002i−2i0000000000002i−2i00000000
χ462-2-22222-22-22-2-2-2-2202220000-2-2-220000-22-2-222i−2i00-220000200000-22-200000002i−2i00-222i−2i0000-220000-2-22200−2i2i00002i−2i000000000000−2i2i00000000
χ472-2-22222-22-22-2-2-2-2202220000-2-2-220000-22-2-22−2i2i002-20000200000-22-20000000−2i2i002-2−2i2i00002-2000022-2-200−2i2i0000−2i2i000000000000−2i2i00000000
χ482-2-22222-22-22-2-2-2-2202220000-2-2-220000-22-2-22−2i2i00-220000200000-22-20000000−2i2i00-22−2i2i0000-220000-2-222002i−2i0000−2i2i0000000000002i−2i00000000
χ492-2-222-12-22-2-1-211-220-12-100−i3i311-2-1−i3−i3i3i3-2211-12i−2i002-2−i3i3−i3i3-1000−i3i31-11−i3−i3i3i30002i−2i00-11−ii3−3002-2−i3i3−i3i3-1-111002i−2i0000−ii3−3000000003−3−ii00000000
χ502-2-222-12-22-2-1-211-220-12-100−i3i311-2-1−i3−i3i3i3-2211-12i−2i00-22i3−i3i3−i3-1000−i3i31-11−i3−i3i3i30002i−2i001-1−ii3−300-22i3−i3i3−i311-1-100−2i2i0000−ii3−300000000−33i−i00000000
χ512-2-222-12-22-2-1-211-220-12-100−i3i311-2-1−i3−i3i3i3-2211-1−2i2i002-2−i3i3−i3i3-1000−i3i31-11−i3−i3i3i3000−2i2i00-11i−i−33002-2−i3i3−i3i3-1-11100−2i2i0000i−i−3300000000−33i−i00000000
χ522-2-222-12-22-2-1-211-220-12-100−i3i311-2-1−i3−i3i3i3-2211-1−2i2i00-22i3−i3i3−i3-1000−i3i31-11−i3−i3i3i3000−2i2i001-1i−i−3300-22i3−i3i3−i311-1-1002i−2i0000i−i−33000000003−3−ii00000000
χ532-2-222-12-22-2-1-211-220-12-100i3−i311-2-1i3i3−i3−i3-2211-12i−2i002-2i3−i3i3−i3-1000i3−i31-11i3i3−i3−i30002i−2i00-11−ii−33002-2i3−i3i3−i3-1-111002i−2i0000−ii−3300000000−33−ii00000000
χ542-2-222-12-22-2-1-211-220-12-100i3−i311-2-1i3i3−i3−i3-2211-12i−2i00-22−i3i3−i3i3-1000i3−i31-11i3i3−i3−i30002i−2i001-1−ii−3300-22−i3i3−i3i311-1-100−2i2i0000−ii−33000000003−3i−i00000000
χ552-2-222-12-22-2-1-211-220-12-100i3−i311-2-1i3i3−i3−i3-2211-1−2i2i002-2i3−i3i3−i3-1000i3−i31-11i3i3−i3−i3000−2i2i00-11i−i3−3002-2i3−i3i3−i3-1-11100−2i2i0000i−i3−3000000003−3i−i00000000
χ562-2-222-12-22-2-1-211-220-12-100i3−i311-2-1i3i3−i3−i3-2211-1−2i2i00-22−i3i3−i3i3-1000i3−i31-11i3i3−i3−i3000−2i2i001-1i−i3−300-22−i3i3−i3i311-1-1002i−2i0000i−i3−300000000−33−ii00000000
χ5744444-2-24-2-2-24-2-2-244-2-2144-2-2-2-2-21-2-2-2-2-2-211-244000000001-2-2-2111111111400-2-20000-2-2-2-200000000000000000-200111100000000000000000000
χ5844444-2-24-2-2-24-2-2-244-2-2144-2-2-2-2-21-2-2-2-2-2-211-2-4-4000000001-2-2-2111111111-400220000222200000000000000000200-1-1-1-100000000000000000000
χ5944444-2-24-2-2-24-2-2-24-4-2-21-4-422-2-2-212222-2-211-244000000001222-1-1111-1-1-1-1-400-2-20000-2-2220000000000000000020011-1-100000000000000000000
χ6044444-2-24-2-2-24-2-2-24-4-2-21-4-422-2-2-212222-2-211-2-4-4000000001222-1-1111-1-1-1-140022000022-2-200000000000000000-200-1-11100000000000000000000
χ614444-24-2-2-2-24-244-2-24-21-2-2-244-2-21-2-2-2-2-211-2-2-200000000001-211-2-2111111104400-2-20000000000000000000000-20-2-2000011110000000000000000
χ624444-24-2-2-2-24-244-2-24-21-2-2-244-2-21-2-2-2-2-211-2-2-200000000001-211-2-211111110-4-40022000000000000000000000020220000-1-1-1-10000000000000000
χ634444-24-2-2-2-24-244-2-2-4-21-222-4-4-2-21-2222211-2-2-2000000000012-1-122111-1-1-1-104-400220000000000000000000000-20-22000011-1-10000000000000000
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χ654444-2-24-244-2-2-2-24-241-2-2-2-2-2-211-2-21111-2-2-2-21004444-2-2-2-214-2-2-2-211111110000000-2-20000-2-2-2-21111111100000000000000000000000000000000
χ664444-2-24-244-2-2-2-24-241-2-2-2-2-2-211-2-21111-2-2-2-2100-4-4-4-4222214-2-2-2-2111111100000002200002222-1-1-1-1-1-1-1-100000000000000000000000000000000
χ674444-2-24-244-2-2-2-24-2-41-2-2222211-2-2-1-1-1-1-2-2-2-210044-4-4-2-2-2-21-42222111-1-1-1-10000000220000-2-2221111-1-1-1-100000000000000000000000000000000
χ684444-2-24-244-2-2-2-24-2-41-2-2222211-2-2-1-1-1-1-2-2-2-2100-4-44422221-42222111-1-1-1-10000000-2-2000022-2-2-1-1-1-1111100000000000000000000000000000000
χ6944-4-444-2-422-444-4-2-404-2-200004-4220000-22-22-40000000000-200000-222000000000000000000000000000004-40000000000000000000000-22000000
χ7044-4-444-2-422-444-4-2-404-2-200004-4220000-22-22-40000000000-200000-22200000000000000000000000000000-4400000000000000000000002-2000000
χ7144-4-44-24-4-4-424-224-40-24-20000-22-4200004-4-222004i−4i00−2i−2i2i2i-200000-222000000000000000004i−4i00−2i−2i2i2i000000000000000000000000000000000000
χ7244-4-44-24-4-4-424-224-40-24-20000-22-4200004-4-22200−4i4i002i2i−2i−2i-200000-22200000000000000000−4i4i002i2i−2i−2i000000000000000000000000000000000000
χ7344-4-4-2442-4-4-4-24-4420-2-240000-222-40000-224-42004i−4i004i4i−4i−4i-200000-22200000000000000000−2i2i00−2i−2i2i2i000000000000000000000000000000000000
χ7444-4-4-2442-4-4-4-24-4420-2-240000-222-40000-224-4200−4i4i00−4i−4i4i4i-200000-222000000000000000002i−2i002i2i−2i−2i000000000000000000000000000000000000
χ7544-4-4-2-242-4-42-2-224201-2-200001-1223-33-3-22-22-1004i−4i00−2i−2i2i2i1000001-1-13-33-30000000000000−2i2i00ii−i−i3i−3i3i−3i00000000000000000000000000000000
χ7644-4-4-2-242-4-42-2-224201-2-200001-1223-33-3-22-22-100−4i4i002i2i−2i−2i1000001-1-13-33-300000000000002i−2i00−i−iii−3i3i−3i3i00000000000000000000000000000000
χ7744-4-4-2-242-4-42-2-224201-2-200001-122-33-33-22-22-1004i−4i00−2i−2i2i2i1000001-1-1-33-330000000000000−2i2i00ii−i−i−3i3i−3i3i00000000000000000000000000000000
χ7844-4-4-2-242-4-42-2-224201-2-200001-122-33-33-22-22-100−4i4i002i2i−2i−2i1000001-1-1-33-3300000000000002i−2i00−i−iii3i−3i3i−3i00000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).