Finite Group Databasebeta

← Group #13172667

Character table — Group #13172667

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222224444444444444444444446666666666666666888888888888812121212121212121212121212121212121212121212121212121818181824242424242424242424363636363636363636363636363672108108
order122233366666666623336666666666666666622222244666666663666666666666246666666666666666661212121212122244666661212121212244466661212121212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1111111111111111111111-1111111111-1-11111111111-1-1-1-1-1-111-111-1-1111-1-11-1-1-111-1-111-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1111111111111111111111111-1-1-11111-1-11111111111-1-1111111-1-11-1-111-1-1-111-11-1-1-1-111-1-111-1-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111
χ51111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1111-1-1
χ61111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111111-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-111-1-1111-1-1-11-1-1-1-111-1-111-1-1-111
χ71111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111-1-111-1-1-1111-1-1-111-1-111-1-1-1-1-111
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
χ91111111111111111-1111-1-1-1-11111111-1-1-1-11111-1-111111111-1-1-1-11-1-1-1-1-1111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1111111-1-1-111-1-1-1-1-1111-11-11111-1-1-1-111-11-1
χ101111111111111111-1111-1-1-1-11111111-1-1-1-11111-1-111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-11-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111-1111-1-1-1-111-1-11-11
χ111111111111111111-1111-1-1-1-11111111-1-1-1-11111-1-1-1-1111111-1-1-1-11-1-1-1-1-1111-1-1-1-1-11-1-111-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-111111-1-1-11-1-11111-1-1-1-11-11
χ121111111111111111-1111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1111-1-111111-1-1-111-1-1-1-1-1111111-11-1
χ131111111111111111-1111-1-1-1-11111111-1-1-1-111-1-1111111-1-1-1-111111-1-1-1-1-1111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-11111-1-111-111-1-1-1-1-111-111-1-1-1-1-1111111-1-11
χ141111111111111111-1111-1-1-1-11111111-1-1-1-111-1-11111-1-1-1-1-1-111111-1-1-1-1-1111-1-1-1-11-111-1-1111111-1-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1
χ151111111111111111-1111-1-1-1-11111111-1-1-1-111-1-111-1-111-1-1-1-111111-1-1-1-1-1111-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11111111-1111-1-1-1-111-1-111-1
χ161111111111111111-1111-1-1-1-11111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111-1-1-1-1-1111-1-1-1-111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-111-1-11-1-111111-1-11-11-11111-1-1-1-111-1-11
χ17222222-1222-1-1222-122-1-122-1-122-1-1-1-1-1-1-1-1-12-1222200222222-1-1-1-1-1222-1-1-1-1-1-1-1-1-12000-1-12200-1-1-1-1-1-1-1-1-1-10022-1-12200200-1-1000-1-1020000-1-100-1-100000
χ18222222-1222-1-1222-122-1-122-1-122-1-1-1-1-1-1-1-1-12-1222200-2-22222-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2000-1-1220011-1-1-1-1-1-1-1-100-2-211-2-200-20011000110-2000011001100000
χ19222222-1222-1-1222-122-1-122-1-122-1-1-1-1-1-1-1-1-12-1-2-2-2-20022-2-2-2-21111-1222-1-1-1-1-1-1-1-1-1200011-2-200-1-1111111110022-1-1-2-200200-1-1000-1-10-2000011001100000
χ20222222-1222-1-1222-122-1-122-1-122-1-1-1-1-1-1-1-1-12-1-2-2-2-200-2-2-2-2-2-21111-1222-1-1-1-1-1-1-1-1-1-200011-2-200111111111100-2-2112200-2001100011020000-1-100-1-100000
χ21222222-1222-1-1222-1-22-1-1-2-21122-1-1-1-1-111112-122-2-2002222221111-1-2-2-211-1-1-11111-2000-1-1-2-20011-1-1-1-111110022-1-12200-20011000-1-10-20000-1-1001100000
χ22222222-1222-1-1222-1-22-1-1-2-21122-1-1-1-1-111112-122-2-200-2-222221111-1-2-2-211-1-1-111112000-1-1-2-200-1-1-1-1-1-1111100-2-211-2-200200-1-1000110200001100-1-100000
χ23222222-1222-1-1222-1-22-1-1-2-21122-1-1-1-1-111112-1-2-2220022-2-2-2-2-1-1-1-1-1-2-2-211-1-1-11111-2000112200111111-1-1-1-10022-1-1-2-200-20011000-1-10200001100-1-100000
χ24222222-1222-1-1222-1-22-1-1-2-21122-1-1-1-1-111112-1-2-22200-2-2-2-2-2-2-1-1-1-1-1-2-2-211-1-1-111112000112200-1-11111-1-1-1-100-2-2112200200-1-1000110-20000-1-1001100000
χ2522222-122-1-12222-122-12-1-1-122-1-122-1-1-1-1-1-1-1-1222222200-1-1-1-12222-12-1-122-1-1-1-1-1-1-1022222-1-1-1-100-1-1-1-1-1-1-1-1-1-1000000220-1-1002-1-1002000-1-100-1-10000000
χ2622222-122-1-12222-122-12-1-1-122-1-122-1-1-1-1-1-1-1-122222-2-200-1-1-1-12222-12-1-122-1-1-1-1-1-1-10-2-2-222-1-11100-1-1-1-1-1-1-1-111000000-2-201100-21100-20001100110000000
χ2722222-122-1-12222-122-12-1-1-122-1-122-1-1-1-1-1-1-1-12-2-2-2-222001111-2-2-2-2-12-1-122-1-1-1-1-1-1-10222-2-211-1-10011111111-1-1000000-2-20-1-1002-1-100-20001100110000000
χ2822222-122-1-12222-122-12-1-1-122-1-122-1-1-1-1-1-1-1-12-2-2-2-2-2-2001111-2-2-2-2-12-1-122-1-1-1-1-1-1-10-2-2-2-2-211110011111111110000002201100-211002000-1-100-1-10000000
χ2922222-122-1-12222-12-2-12-111-2-2-1-122-1-1-11111-1222-2-22200-1-1-1-1-2-2-2-2-1-211-2-2-1-1-111110-2222211-1-100-1-1-1-1111111000000-2-20-1-100-211002000-1-100110000000
χ3022222-122-1-12222-12-2-12-111-2-2-1-122-1-1-11111-1222-2-2-2-200-1-1-1-1-2-2-2-2-1-211-2-2-1-1-1111102-2-222111100-1-1-1-11111-1-100000022011002-1-100-20001100-1-10000000
χ3122222-122-1-12222-12-2-12-111-2-2-1-122-1-1-11111-12-2-222220011112222-1-211-2-2-1-1-111110-222-2-2-1-1-1-1001111-1-1-1-111000000220-1-100-21100-20001100-1-10000000
χ3222222-122-1-12222-12-2-12-111-2-2-1-122-1-1-11111-12-2-222-2-20011112222-1-211-2-2-1-1-1111102-2-2-2-2-1-111001111-1-1-1-1-1-1000000-2-2011002-1-1002000-1-100110000000
χ332222-122-12222-1-1222-1-122222-1-1-1-12222222-1-10000222200000000-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1000022220000000022-1-1220000-1-1-1-1-1-1-1-1-1-1002200000000-1-1-100
χ342222-122-12222-1-1222-1-122222-1-1-1-12222222-1-1000022-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-22-1-1000022-2-2000000002211-2-200001-1-111-1-1-11100-2-20000000011100
χ352222-122-12222-1-1222-1-122222-1-1-1-12222222-1-10000-2-22200000000-1-1-1-1-1-1-1-1-1-1-1-1-12-2110000-2-22200000000-2-2-1-1220000-111-1-1111-1-100-2-20000000011100
χ362222-122-12222-1-1222-1-122222-1-1-1-12222222-1-10000-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2110000-2-2-2-200000000-2-211-2-200001111111111002200000000-1-1-100
χ372222-122-12222-1-122-2-1-12-2-2-2-2-1-1-1-1222-2-2-2-2-1-10000222200000000-111111-1-1-11111-2-2-1-1000022-2-200000000-2-2-1-12200001-1-111111-1-1002-200000000-1-1100
χ382222-122-12222-1-122-2-1-12-2-2-2-2-1-1-1-1222-2-2-2-2-1-1000022-2-200000000-111111-1-1-111112-2-1-10000222200000000-2-211-2-20000-1-1-1-1-11111100-220000000011-100
χ392222-122-12222-1-122-2-1-12-2-2-2-2-1-1-1-1222-2-2-2-2-1-10000-2-22200000000-111111-1-1-11111-22110000-2-2-2-20000000022-1-122000011111-1-1-1-1-100-220000000011-100
χ402222-122-12222-1-122-2-1-12-2-2-2-2-1-1-1-1222-2-2-2-2-1-10000-2-2-2-200000000-111111-1-1-1111122110000-2-222000000002211-2-20000-111-1-1-1-1-111002-200000000-1-1100
χ4122-2-2222-22-2-2-22-2-22022200002-2-2-22-2-20000-222-200002-222-2-200002000002-2-2000000002-200000022-2-20000002-22-22-200000000002-20000002-2000000000
χ4222-2-2222-22-2-2-22-2-22022200002-2-2-22-2-20000-222-20000-2222-2-200002000002-2-2000000002-200000022-2-2000000-22-22-220000000000-22000000-22000000000
χ4322-2-2222-22-2-2-22-2-22022200002-2-2-22-2-20000-22-2200002-2-2-22200002000002-2-200000000-22000000-2-2220000002-22-2-2200000000002-2000000-22000000000
χ4422-2-2222-22-2-2-22-2-22022200002-2-2-22-2-20000-22-220000-22-2-22200002000002-2-200000000-22000000-2-222000000-22-222-20000000000-220000002-2000000000
χ4522-2-222-1-22-2112-2-2-102-1-100−i3i32-211-111−i3−i3i3i3-2-12-200002-222-2-2−i3−i3i3i3-1000−i3i3-111−i3−i3i3i30000-110000−i3i3-1-111−i3−i3i3i3002-2-112-200000−i3i3000-11000000-1100−i3i300000
χ4622-2-222-1-22-2112-2-2-102-1-100−i3i32-211-111−i3−i3i3i3-2-12-20000-2222-2-2−i3−i3i3i3-1000−i3i3-111−i3−i3i3i30000-110000i3−i3-1-111−i3−i3i3i300-221-1-2200000i3−i30001-10000001-100i3−i300000
χ4722-2-222-1-22-2112-2-2-102-1-100−i3i32-211-111−i3−i3i3i3-2-1-2200002-2-2-222i3i3−i3−i3-1000−i3i3-111−i3−i3i3i300001-10000−i3i311-1-1i3i3−i3−i3002-2-11-2200000−i3i3000-110000001-100i3−i300000
χ4822-2-222-1-22-2112-2-2-102-1-100−i3i32-211-111−i3−i3i3i3-2-1-220000-22-2-222i3i3−i3−i3-1000−i3i3-111−i3−i3i3i300001-10000i3−i311-1-1i3i3−i3−i300-221-12-200000i3−i30001-1000000-1100−i3i300000
χ4922-2-222-1-22-2112-2-2-102-1-100i3−i32-211-111i3i3−i3−i3-2-12-200002-222-2-2i3i3−i3−i3-1000i3−i3-111i3i3−i3−i30000-110000i3−i3-1-111i3i3−i3−i3002-2-112-200000i3−i3000-11000000-1100i3−i300000
χ5022-2-222-1-22-2112-2-2-102-1-100i3−i32-211-111i3i3−i3−i3-2-12-20000-2222-2-2i3i3−i3−i3-1000i3−i3-111i3i3−i3−i30000-110000−i3i3-1-111i3i3−i3−i300-221-1-2200000−i3i30001-10000001-100−i3i300000
χ5122-2-222-1-22-2112-2-2-102-1-100i3−i32-211-111i3i3−i3−i3-2-1-2200002-2-2-222−i3−i3i3i3-1000i3−i3-111i3i3−i3−i300001-10000i3−i311-1-1−i3−i3i3i3002-2-11-2200000i3−i3000-110000001-100−i3i300000
χ5222-2-222-1-22-2112-2-2-102-1-100i3−i32-211-111i3i3−i3−i3-2-1-220000-22-2-222−i3−i3i3i3-1000i3−i3-111i3i3−i3−i300001-10000−i3i311-1-1−i3−i3i3i300-221-12-200000−i3i30001-1000000-1100i3−i300000
χ532-22-2222-2-2-22-2-222-202220000-2-22-2-22-200002-2002-22-20000002-22-2200000-22-20000002-2002-22-20000002-22-2000000002-202-20000000000000002-20000000
χ542-22-2222-2-2-22-2-222-202220000-2-22-2-22-200002-2002-2-220000002-22-2200000-22-2000000-22002-2-220000002-22-200000000-220-22000000000000000-220000000
χ552-22-2222-2-2-22-2-222-202220000-2-22-2-22-200002-200-222-2000000-22-22200000-22-20000002-200-222-2000000-22-2200000000-2202-2000000000000000-220000000
χ562-22-2222-2-2-22-2-222-202220000-2-22-2-22-200002-200-22-22000000-22-22200000-22-2000000-2200-22-22000000-22-22000000002-20-220000000000000002-20000000
χ572-22-22-12-2112-2-22-1-20-12-1−i3i300112-21-11−i3i3−i3i3-1-2002-22-200−i3i3−i3i32-22-2-10−i3i3001-11−i3i3−i3i3002-200-11-1100−i3i3−i3i3-11-11−i3i30000002-20-11000−i3i3000000−i3i300-110000000
χ582-22-22-12-2112-2-22-1-20-12-1−i3i300112-21-11−i3i3−i3i3-1-2002-2-2200−i3i3−i3i32-22-2-10−i3i3001-11−i3i3−i3i300-2200-111-100−i3i3−i3i3-11-11i3−i3000000-2201-1000i3−i3000000i3−i3001-10000000
χ592-22-22-12-2112-2-22-1-20-12-1−i3i300112-21-11−i3i3−i3i3-1-200-222-200i3−i3i3−i3-22-22-10−i3i3001-11−i3i3−i3i3002-2001-1-1100i3−i3i3−i31-11-1−i3i3000000-220-11000−i3i3000000i3−i3001-10000000
χ602-22-22-12-2112-2-22-1-20-12-1−i3i300112-21-11−i3i3−i3i3-1-200-22-2200i3−i3i3−i3-22-22-10−i3i3001-11−i3i3−i3i300-22001-11-100i3−i3i3−i31-11-1i3−i30000002-201-1000i3−i3000000−i3i300-110000000
χ612-22-22-12-2112-2-22-1-20-12-1i3−i300112-21-11i3−i3i3−i3-1-2002-22-200i3−i3i3−i32-22-2-10i3−i3001-11i3−i3i3−i3002-200-11-1100i3−i3i3−i3-11-11i3−i30000002-20-11000i3−i3000000i3−i300-110000000
χ622-22-22-12-2112-2-22-1-20-12-1i3−i300112-21-11i3−i3i3−i3-1-2002-2-2200i3−i3i3−i32-22-2-10i3−i3001-11i3−i3i3−i300-2200-111-100i3−i3i3−i3-11-11−i3i3000000-2201-1000−i3i3000000−i3i3001-10000000
χ632-22-22-12-2112-2-22-1-20-12-1i3−i300112-21-11i3−i3i3−i3-1-200-222-200−i3i3−i3i3-22-22-10i3−i3001-11i3−i3i3−i3002-2001-1-1100−i3i3−i3i31-11-1i3−i3000000-220-11000i3−i3000000−i3i3001-10000000
χ642-22-22-12-2112-2-22-1-20-12-1i3−i300112-21-11i3−i3i3−i3-1-200-22-2200−i3i3−i3i3-22-22-10i3−i3001-11i3−i3i3−i300-22001-11-100−i3i3−i3i31-11-1−i3i30000002-201-1000−i3i3000000i3−i300-110000000
χ6544444-2-24-2-2-2-244-2-24-2-21-2-2-2-2-2-2-2-21111111-2-244440000-2-2-2-2-2-2-2-214-2-2-2-211111110000-2-2-2-20000111111110000000000000000000000000000000000000
χ6644444-2-24-2-2-2-244-2-24-2-21-2-2-2-2-2-2-2-21111111-2-2-4-4-4-400002222222214-2-2-2-21111111000022220000-1-1-1-1-1-1-1-10000000000000000000000000000000000000
χ6744444-2-24-2-2-2-244-2-2-4-2-212222-2-2-2-2111-1-1-1-1-2-244-4-40000-2-2-2-222221-42222111-1-1-1-10000-2-22200001111-1-1-1-10000000000000000000000000000000000000
χ6844444-2-24-2-2-2-244-2-2-4-2-212222-2-2-2-2111-1-1-1-1-2-2-4-44400002222-2-2-2-21-42222111-1-1-1-1000022-2-20000-1-1-1-111110000000000000000000000000000000000000
χ694444-24-2-244-2-2-2-24-24-21-244-2-2-2-211-2-2-2-2-2-2-2-2100000044000000001-2-2-21111111114000000000-2-20000000000-2-2-2-20000-200110001100000000000000000
χ704444-24-2-244-2-2-2-24-24-21-244-2-2-2-211-2-2-2-2-2-2-2-21000000-4-4000000001-2-2-2111111111-400000000022000000000022220000200-1-1000-1-100000000000000000
χ714444-24-2-244-2-2-2-24-2-4-21-2-4-422-2-211-2-2-22222-2100000044000000001222-1-1111-1-1-1-1-4000000000220000000000-2-2-2-20000200-1-10001100000000000000000
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Here i is the imaginary unit (i² = −1).