Finite Group Databasebeta

← Group #13172186

Character table — Group #13172186

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222224444444444444444444446666666666666666888888888888812121212121212121212121212121212121212121212121212121818181824242424242424242424363636363636363636363636363672108108
order1222333666666666233366666666666666666444444441212121212121212366666666666644121212121212121212121212121212121212121212121212224412121212121212121212244466661212121212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1111111111111111111111-1111-1-1-1-1111111-1-1111111111111-1-11-11111-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1111-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-11111-1-1-1-11-1-1-1-1-111-1-111-1-1-111
χ51111111111111111111111111111111111111-1-11111111111111111111111111111-1-1-11111-1-1111111-1-111111111-1-111-11-1-1-1-111111-1-1-1-1-111-1-111-1-1-1-1-1
χ61111111111111111111111111111111111111-1-11111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-11-1-1-1-11111-11-1-111-1-111-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1
χ91111111111111111-1111-1-1-1-11111-1-1-1-1111111111-1-1111111-1-1-1-11-1-1-1-1-1111-1-1-1-1-1-111-1-111-1-111-1-111111111-1-1-1-111-1-1-1-111-1-111-1-11-11-11111-1-1-1-111-1-11
χ101111111111111111-1111-1-1-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-11-11111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1111-1-1-1-111-1-1-1111-1-1-1-111-1-111-1
χ111111111111111111-1111-1-1-1-11111-1-1-1-11111111-1-11111-1-1-1-111111-1-1-1-1-1111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-111-1-111-1-111-1-1-111-1-1-1-1-1111111-11-1
χ121111111111111111-1111-1-1-1-11111-1-1-1-11111111-1-111-1-1-1-1-1-111111-1-1-1-1-1111-1-1-1-11-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1111-1-1-1-11111-11-1-11111-1-1-1-11-11
χ131111111111111111-1111-1-1-1-11111-1-1-1-111111-1-111-1-1111111-1-1-1-11-1-1-1-1-1111-1-1-1-1-11-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-11-1-1-11111-1-111-11-1-11111-1-1-1-111-1
χ141111111111111111-1111-1-1-1-11111-1-1-1-111111-1-111-1-1-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-111-1-1-1-1-1111111-1-11
χ151111111111111111-1111-1-1-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1111-1-1-1-1-11-1-1-1-11111-1-11111-1-1-1-1-1-1111111111-1-1-11111-1-1-1-1-1111-1-1-1-111-1-11-11
χ161111111111111111-1111-1-1-1-11111-1-1-1-111111-1-1-1-111-1-1-1-1-1-111111-1-1-1-1-1111-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1111-11-11111-1-1-1-111-11-1
χ17222222-12-1222-1-12222-1-122-1-12-1-1-1-1-1-1-122-1-1-100222222-1-1-1-12222-1222-1-1-1-1-1-1-1-1-12000-1-1220022-1-1-1-100-1-1-1-1-1-1-1-10022020000-1-1-1-1200000-1-100-1-100000
χ18222222-12-1222-1-12222-1-122-1-12-1-1-1-1-1-1-122-1-1-1002222-2-2-1-1-1-12222-1222-1-1-1-1-1-1-1-1-1-200011-2-20022-1-11100-1-1-1-1-1-1-1-100-2-20-200001111-20000011001100000
χ19222222-12-1222-1-12222-1-122-1-12-1-1-1-1-1-1-122-1-1-100-2-2-2-2221111-2-2-2-2-1222-1-1-1-1-1-1-1-1-12000-1-12200-2-211-1-1001111111100-2-2020000-1-1-1-1-20000011001100000
χ20222222-12-1222-1-12222-1-122-1-12-1-1-1-1-1-1-122-1-1-100-2-2-2-2-2-21111-2-2-2-2-1222-1-1-1-1-1-1-1-1-1-200011-2-200-2-21111001111111100220-200001111200000-1-100-1-100000
χ21222222-12-1222-1-122-22-1-1-2-2112-1-1-1111122-1-1-10022-2-222-1-1-1-1-2-2-2-2-1-2-2-211-1-1-11111-20001122002211-1-100-1-1-1-1111100-2-20-20000-1-111200000-1-1001100000
χ22222222-12-1222-1-122-22-1-1-2-2112-1-1-1111122-1-1-10022-2-2-2-2-1-1-1-1-2-2-2-2-1-2-2-211-1-1-111112000-1-1-2-20022111100-1-1-1-11111002202000011-1-1-2000001100-1-100000
χ23222222-12-1222-1-122-22-1-1-2-2112-1-1-1111122-1-1-100-2-2222211112222-1-2-2-211-1-1-11111-2000112200-2-2-1-1-1-1001111-1-1-1-100220-20000-1-111-2000001100-1-100000
χ24222222-12-1222-1-122-22-1-1-2-2112-1-1-1111122-1-1-100-2-222-2-211112222-1-2-2-211-1-1-111112000-1-1-2-200-2-2-1-111001111-1-1-1-100-2-202000011-1-1200000-1-1001100000
χ2522222-12-122-1-122222-12-1-1-122-12-1-1-1-1-1-1-1-122-1222222002222-1-1-1-1-12-1-122-1-1-1-1-1-1-102-1-10000-1-1-1-1220022-1-1-1-1-1-1-1-1220020-1-1-1-100000200-1-100-1-10000000
χ2622222-12-122-1-122222-12-1-1-122-12-1-1-1-1-1-1-1-122-122-2-2-2-200-2-2-2-21111-12-1-122-1-1-1-1-1-1-102-1-10000-1-111-2-2002211111111-2-20020-1-1-1-100000-2001100110000000
χ2722222-12-122-1-122222-12-1-1-122-12-1-1-1-1-1-1-1-122-1-2-22222002222-1-1-1-1-12-1-122-1-1-1-1-1-1-10-211000011-1-12200-2-2-1-1-1-1-1-1-1-1-2-200-20111100000-2001100110000000
χ2822222-12-122-1-122222-12-1-1-122-12-1-1-1-1-1-1-1-122-1-2-2-2-2-2-200-2-2-2-21111-12-1-122-1-1-1-1-1-1-10-21100001111-2-200-2-2111111112200-20111100000200-1-100-1-10000000
χ2922222-12-122-1-12222-2-12-111-2-2-12-1-11111-1-122-12222-2-20022221111-1-211-2-2-1-1-111110-2-1-1000011-1-1-2-20022-1-1-1-111112200-20-1-11100000-200-1-100110000000
χ3022222-12-122-1-12222-2-12-111-2-2-12-1-11111-1-122-122-2-22200-2-2-2-2-1-1-1-1-1-211-2-2-1-1-111110-2-1-1000011112200221111-1-1-1-1-2-200-20-1-111000002001100-1-10000000
χ3122222-12-122-1-12222-2-12-111-2-2-12-1-11111-1-122-1-2-222-2-20022221111-1-211-2-2-1-1-1111102110000-1-1-1-1-2-200-2-2-1-1-1-11111-2-2002011-1-1000002001100-1-10000000
χ3222222-12-122-1-12222-2-12-111-2-2-12-1-11111-1-122-1-2-2-2-22200-2-2-2-2-1-1-1-1-1-211-2-2-1-1-1111102110000-1-1112200-2-21111-1-1-1-122002011-1-100000-200-1-100110000000
χ332222-12222-12222-1-12-1-122222-1-1222222-1-1-1-122200002200000000-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-122000022-1-1000000000000-1-1-1-1-1-1-1-1-1-1002200000000-1-1-100
χ342222-12222-12222-1-12-1-122222-1-1222222-1-1-1-12220000-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2222-2-211220000-2-2-1-1000000000000-11-1-1-1-1111100-2-20000000011100
χ352222-12222-12222-1-12-1-122222-1-1222222-1-1-1-12-2-200002200000000-1-1-1-1-1-1-1-1-1-1-1-1-12-2-2-222-1-1-2-2000022110000000000001-11111-1-1-1-100-2-20000000011100
χ362222-12222-12222-1-12-1-122222-1-1222222-1-1-1-12-2-20000-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211-2-20000-2-2110000000000001111111111002200000000-1-1-100
χ372222-12222-12222-1-1-2-1-12-2-2-2-2-1-122-2-2-2-2-1-1-1-122200002200000000-111111-1-1-11111-2-222-2-2-1-1-2-2000022-1-100000000000011-1-111-1-111002-200000000-1-1100
χ382222-12222-12222-1-1-2-1-12-2-2-2-2-1-122-2-2-2-2-1-1-1-12220000-2-200000000-111111-1-1-111112-2222211-2-20000-2-2-1-10000000000001-1-1-11111-1-100-220000000011-100
χ392222-12222-12222-1-1-2-1-12-2-2-2-2-1-122-2-2-2-2-1-1-1-12-2-200002200000000-111111-1-1-11111-22-2-2-2-2-1-12200002211000000000000-1111-1-1-1-11100-220000000011-100
χ402222-12222-12222-1-1-2-1-12-2-2-2-2-1-122-2-2-2-2-1-1-1-12-2-20000-2-200000000-111111-1-1-1111122-2-22211220000-2-211000000000000-1-111-1-111-1-1002-200000000-1-1100
χ4122-2-22222-2-2-2-22-22-202220000-222-200002-2-2-2-200002i−2i2i−2i00002i2i−2i−2i2000002-2-200000000002i−2i00002i−2i2i−2i0000002i2i−2i−2i002-20000002i−2i0000000000002-200000
χ4222-2-22222-2-2-2-22-22-202220000-222-200002-2-2-2-200002i−2i−2i2i00002i2i−2i−2i2000002-2-20000000000−2i2i00002i−2i−2i2i0000002i2i−2i−2i00-22000000−2i2i000000000000-2200000
χ4322-2-22222-2-2-2-22-22-202220000-222-200002-2-2-2-20000−2i2i2i−2i0000−2i−2i2i2i2000002-2-200000000002i−2i0000−2i2i2i−2i000000−2i−2i2i2i00-220000002i−2i000000000000-2200000
χ4422-2-22222-2-2-2-22-22-202220000-222-200002-2-2-2-20000−2i2i−2i2i0000−2i−2i2i2i2000002-2-20000000000−2i2i0000−2i2i−2i2i000000−2i−2i2i2i002-2000000−2i2i0000000000002-200000
χ4522-2-222-121-2-2-2-112-202-1-100−i3i3-2-1-11−i3−i3i3i32-211100002i−2i2i−2i33−3−32i2i−2i−2i-1000−i3i3-111−i3−i3i3i300003−32i−2i0000−ii−ii0033−3−3−i−iii002-2000000−ii3−3000000−i3i300-1100000
χ4622-2-222-121-2-2-2-112-202-1-100−i3i3-2-1-11−i3−i3i3i32-211100002i−2i−2i2i33−3−32i2i−2i−2i-1000−i3i3-111−i3−i3i3i30000−33−2i2i0000−iii−i0033−3−3−i−iii00-22000000i−i−33000000i3−i3001-100000
χ4722-2-222-121-2-2-2-112-202-1-100−i3i3-2-1-11−i3−i3i3i32-21110000−2i2i2i−2i−3−333−2i−2i2i2i-1000−i3i3-111−i3−i3i3i300003−32i−2i0000i−i−ii00−3−333ii−i−i00-22000000−ii3−3000000i3−i3001-100000
χ4822-2-222-121-2-2-2-112-202-1-100−i3i3-2-1-11−i3−i3i3i32-21110000−2i2i−2i2i−3−333−2i−2i2i2i-1000−i3i3-111−i3−i3i3i30000−33−2i2i0000i−ii−i00−3−333ii−i−i002-2000000i−i−33000000−i3i300-1100000
χ4922-2-222-121-2-2-2-112-202-1-100i3−i3-2-1-11i3i3−i3−i32-211100002i−2i2i−2i−3−3332i2i−2i−2i-1000i3−i3-111i3i3−i3−i30000−332i−2i0000−ii−ii00−3−333−i−iii002-2000000−ii−33000000i3−i300-1100000
χ5022-2-222-121-2-2-2-112-202-1-100i3−i3-2-1-11i3i3−i3−i32-211100002i−2i−2i2i−3−3332i2i−2i−2i-1000i3−i3-111i3i3−i3−i300003−3−2i2i0000−iii−i00−3−333−i−iii00-22000000i−i3−3000000−i3i3001-100000
χ5122-2-222-121-2-2-2-112-202-1-100i3−i3-2-1-11i3i3−i3−i32-21110000−2i2i2i−2i33−3−3−2i−2i2i2i-1000i3−i3-111i3i3−i3−i30000−332i−2i0000i−i−ii0033−3−3ii−i−i00-22000000−ii−33000000−i3i3001-100000
χ5222-2-222-121-2-2-2-112-202-1-100i3−i3-2-1-11i3i3−i3−i32-21110000−2i2i−2i2i33−3−3−2i−2i2i2i-1000i3−i3-111i3i3−i3−i300003−3−2i2i0000i−ii−i0033−3−3ii−i−i002-2000000i−i3−3000000i3−i300-1100000
χ532-22-2222-22-22-2-2-2-22022200002-2-220000-2-22-2-22i−2i2i−2i00002i−2i2i−2i0000200000-22-20000002i−2i0000002i−2i00002i−2i2i−2i2i−2i00002-200002i−2i00000000002-200000000000
χ542-22-2222-22-22-2-2-2-22022200002-2-220000-2-22-2-22i−2i−2i2i0000−2i2i−2i2i0000200000-22-20000002i−2i000000−2i2i00002i−2i−2i2i−2i2i0000-2200002i−2i0000000000-2200000000000
χ552-22-2222-22-22-2-2-2-22022200002-2-220000-2-22-2-2−2i2i2i−2i00002i−2i2i−2i0000200000-22-2000000−2i2i0000002i−2i0000−2i2i2i−2i2i−2i0000-220000−2i2i0000000000-2200000000000
χ562-22-2222-22-22-2-2-2-22022200002-2-220000-2-22-2-2−2i2i−2i2i0000−2i2i−2i2i0000200000-22-2000000−2i2i000000−2i2i0000−2i2i−2i2i−2i2i00002-20000−2i2i00000000002-200000000000
χ572-22-22-1212-2-11-2-2-220-12-1−i3i300-1-21-1−i3i3−i3i3112-212i−2i2i−2i00002i−2i2i−2i3−33−3-10−i3i3001-11−i3i3−i3i300−ii00003−3−ii00002i−2i−ii−ii3−33−32-20000−ii3−300000000-1100−i3i30000000
χ582-22-22-1212-2-11-2-2-220-12-1−i3i300-1-21-1−i3i3−i3i3112-212i−2i−2i2i0000−2i2i−2i2i−33−33-10−i3i3001-11−i3i3−i3i300−ii00003−3i−i00002i−2ii−ii−i−33−33-220000−ii3−3000000001-100i3−i30000000
χ592-22-22-1212-2-11-2-2-220-12-1−i3i300-1-21-1−i3i3−i3i3112-21−2i2i2i−2i00002i−2i2i−2i3−33−3-10−i3i3001-11−i3i3−i3i300i−i0000−33−ii0000−2i2i−ii−ii3−33−3-220000i−i−33000000001-100i3−i30000000
χ602-22-22-1212-2-11-2-2-220-12-1−i3i300-1-21-1−i3i3−i3i3112-21−2i2i−2i2i0000−2i2i−2i2i−33−33-10−i3i3001-11−i3i3−i3i300i−i0000−33i−i0000−2i2ii−ii−i−33−332-20000i−i−3300000000-1100−i3i30000000
χ612-22-22-1212-2-11-2-2-220-12-1i3−i300-1-21-1i3−i3i3−i3112-212i−2i2i−2i00002i−2i2i−2i−33−33-10i3−i3001-11i3−i3i3−i300−ii0000−33−ii00002i−2i−ii−ii−33−332-20000−ii−3300000000-1100i3−i30000000
χ622-22-22-1212-2-11-2-2-220-12-1i3−i300-1-21-1i3−i3i3−i3112-212i−2i−2i2i0000−2i2i−2i2i3−33−3-10i3−i3001-11i3−i3i3−i300−ii0000−33i−i00002i−2ii−ii−i3−33−3-220000−ii−33000000001-100−i3i30000000
χ632-22-22-1212-2-11-2-2-220-12-1i3−i300-1-21-1i3−i3i3−i3112-21−2i2i2i−2i00002i−2i2i−2i−33−33-10i3−i3001-11i3−i3i3−i300i−i00003−3−ii0000−2i2i−ii−ii−33−33-220000i−i3−3000000001-100−i3i30000000
χ642-22-22-1212-2-11-2-2-220-12-1i3−i300-1-21-1i3−i3i3−i3112-21−2i2i−2i2i0000−2i2i−2i2i3−33−3-10i3−i3001-11i3−i3i3−i300i−i00003−3i−i0000−2i2ii−ii−i3−33−32-20000i−i3−300000000-1100i3−i30000000
χ6544444-2-2-2-24-2-2-2-2444-2-21-2-2-2-2-2-2111111-2-2-2-2100444400-2-2-2-2-2-2-2-214-2-2-2-211111110000000000-2-2-2-20000111111110000000000000000000000000000000
χ6644444-2-2-2-24-2-2-2-2444-2-21-2-2-2-2-2-2111111-2-2-2-2100-4-4-4-4002222222214-2-2-2-21111111000000000022220000-1-1-1-1-1-1-1-10000000000000000000000000000000
χ6744444-2-2-2-24-2-2-2-244-4-2-212222-2-211-1-1-1-1-2-2-2-210044-4-400-2-2-2-222221-42222111-1-1-1-10000000000-2-22200001111-1-1-1-10000000000000000000000000000000
χ6844444-2-2-2-24-2-2-2-244-4-2-212222-2-211-1-1-1-1-2-2-2-2100-4-444002222-2-2-2-21-42222111-1-1-1-1000000000022-2-20000-1-1-1-111110000000000000000000000000000000
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χ1014-4-44444-4-44-44-44-4-404440000-4-4-4-40000-44-4440000000000000000400000-4-440000000000000000000000000000000000000000000000000000000000000
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χ1084-4-444-2-22242-22-2-4-40-2-21000022-1-1-333-32-22-2100000000−2i32i32i3−2i3−2i32i32i3−2i3100000-1-11-333-3000000000000000000i3−i3−i3i3i3−i3−i3i30000000000000000000000000000000
χ1094-4-444-2-22242-22-2-4-40-2-21000022-1-1-333-32-22-21000000002i3−2i3−2i32i32i3−2i3−2i32i3100000-1-11-333-3000000000000000000−i3i3i3−i3−i3i3i3−i30000000000000000000000000000000
χ1104-4-44-244-4-4-2-44-44220-2-24000022-4-400002-22-240000000000000000-20000022-20000000000000000000000000000000000000000000000000000000023−23000
χ1114-4-44-244-4-4-2-44-44220-2-24000022-4-400002-22-240000000000000000-20000022-200000000000000000000000000000000000000000000000000000000−2323000
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χ1138888-4-4-4-4-4-4-4-4-4-4-4-4-822244442222-2-2-2-2222220000000000000000-14-2-2-2-2-1-1-11111000000000000000000000000000000000000000000000000000000000
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χ1188-88-8-4-4-44-44-44444-40222−4i34i3002-2-222i3−2i32i3−2i3-2-22-2-20000000000000000-102i3−2i3001-11−i3i3−i3i3000000000000000000000000000000000000000000000000000000000
χ1198-88-8-4-4-44-44-44444-402224i3−4i3002-2-22−2i32i3−2i32i3-2-22-2-20000000000000000-10−2i32i3001-11i3−i3i3−i3000000000000000000000000000000000000000000000000000000000
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χ1238-8-88-4-4-444-44-44-44402220000-2-2-2-2-666-6-22-2220000000000000000-10000011-13-3-33000000000000000000000000000000000000000000000000000000000

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