Finite Group Databasebeta

← Group #72230248

Character table — Group #72230248

Order 2880.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1122222444444666699121212121844888881616161616162424242436364848484872551010101010202020202020303030304545606060609055101010101020202020202030303030454560606060905510101010102020202020203030303045456060606090
order1223366366666224444661212451010151530301530303030301010202020203030606020222666666666622444466121244441212121212121212121244444412121212444412121212121212121212444444121212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-11-1-1-11-11-1-111111111111111-11-1-1-11-11-1-111111111111111-11-1-1-11-11-1-111111111111111-11-1-1-11-11-1-111111111111111-11-1-1-11-11-1-1
χ31111111111111-11-11-1-1-11-11-11111111111111-11-11-1-1-11-11-11111111111111-11-11-1-1-11-11-11111111111111-11-11-1-1-11-11-11111111111111-11-11-1-1-11-11-1
χ41111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-111-1-1-1-11
χ511-111111-1-11-1-111-1-1-1-111-1-1111-111111-1-11-1-111-1-1-1-111-1-1111-111111-1-11-1-111-1-1-1-111-1-1111-111111-1-11-1-111-1-1-1-111-1-1111-111111-1-11-1-111-1-1-1-111-1-11
χ611-111111-1-11-1-11-1-11111-1-11-111-111111-1-11-1-11-1-11111-1-11-111-111111-1-11-1-11-1-11111-1-11-111-111111-1-11-1-11-1-11111-1-11-111-111111-1-11-1-11-1-11111-1-11-1
χ711-111111-1-11-1-1-111-111-111-1-111-111111-1-11-1-1-111-111-111-1-111-111111-1-11-1-1-111-111-111-1-111-111111-1-11-1-1-111-111-111-1-111-111111-1-11-1-1-111-111-111-1-1
χ811-111111-1-11-1-1-1-111-1-1-1-111111-111111-1-11-1-1-1-111-1-1-1-111111-111111-1-11-1-1-1-111-1-1-1-111111-111111-1-11-1-1-1-111-1-1-1-111111-111111-1-11-1-1-1-111-1-1-1-1111
χ92222-12-1-12-1-1-1-10202000-10-102222-12-1-12-1-1-1-10202000-10-102222-12-1-12-1-1-1-10202000-10-102222-12-1-12-1-1-1-10202000-10-102222-12-1-12-1-1-1-10202000-10-10
χ102222-12-1-12-1-1-1-10-20-200010102222-12-1-12-1-1-1-10-20-200010102222-12-1-12-1-1-1-10-20-200010102222-12-1-12-1-1-1-10-20-200010102222-12-1-12-1-1-1-10-20-20001010
χ11222-12-12-1-12-1-1-1202000-10-100222-12-12-1-12-1-1-1202000-10-100222-12-12-1-12-1-1-1202000-10-100222-12-12-1-12-1-1-1202000-10-100222-12-12-1-12-1-1-1202000-10-100
χ12222-12-12-1-12-1-1-1-20-200010100222-12-12-1-12-1-1-1-20-200010100222-12-12-1-12-1-1-1-20-200010100222-12-12-1-12-1-1-1-20-200010100222-12-12-1-12-1-1-1-20-200010100
χ1322-22-12-1-1-21-111020-2000-101022-22-12-1-1-21-111020-2000-101022-22-12-1-1-21-111020-2000-101022-22-12-1-1-21-111020-2000-101022-22-12-1-1-21-111020-2000-1010
χ1422-22-12-1-1-21-1110-20200010-1022-22-12-1-1-21-1110-20200010-1022-22-12-1-1-21-1110-20200010-1022-22-12-1-1-21-1110-20200010-1022-22-12-1-1-21-1110-20200010-10
χ1522-2-12-12-11-2-11120-2000-1010022-2-12-12-11-2-11120-2000-1010022-2-12-12-11-2-11120-2000-1010022-2-12-12-11-2-11120-2000-1010022-2-12-12-11-2-11120-2000-10100
χ1622-2-12-12-11-2-111-20200010-10022-2-12-12-11-2-111-20200010-10022-2-12-12-11-2-111-20200010-10022-2-12-12-11-2-111-20200010-10022-2-12-12-11-2-111-20200010-100
χ172-2022-2-2200-20000002i−2i000002-2022-2-2200-20000002i−2i000002-2022-2-2200-20000002i−2i000002-2022-2-2200-20000002i−2i000002-2022-2-2200-20000002i−2i00000
χ182-2022-2-2200-2000000−2i2i000002-2022-2-2200-2000000−2i2i000002-2022-2-2200-2000000−2i2i000002-2022-2-2200-2000000−2i2i000002-2022-2-2200-2000000−2i2i00000
χ19444-2-2-2-21-2-211100000000000444-2-2-2-21-2-211100000000000444-2-2-2-21-2-211100000000000444-2-2-2-21-2-211100000000000444-2-2-2-21-2-211100000000000
χ2044-4-2-2-2-21221-1-10000000000044-4-2-2-2-21221-1-10000000000044-4-2-2-2-21221-1-10000000000044-4-2-2-2-21221-1-10000000000044-4-2-2-2-21221-1-100000000000
χ214-404-2-42-200200000000000004-404-2-42-200200000000000004-404-2-42-200200000000000004-404-2-42-200200000000000004-404-2-42-20020000000000000
χ224-40-242-4-200200000000000004-40-242-4-200200000000000004-40-242-4-200200000000000004-40-242-4-200200000000000004-40-242-4-20020000000000000
χ234-40-2-222100-13-3000000000004-40-2-222100-13-3000000000004-40-2-222100-13-3000000000004-40-2-222100-13-3000000000004-40-2-222100-13-300000000000
χ244-40-2-222100-1-33000000000004-40-2-222100-1-33000000000004-40-2-222100-1-33000000000004-40-2-222100-1-33000000000004-40-2-222100-1-3300000000000
χ25111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2611111111111111-11-1-1-11-11-1-111111111111111-11-1-1-11-11-1-111111111111111-11-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-11-111
χ271111111111111-11-11-1-1-11-11-11111111111111-11-11-1-1-11-11-11111111111111-11-11-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1111-11-11
χ281111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1
χ2911-111111-1-11-1-111-1-1-1-111-1-1111-111111-1-11-1-111-1-1-1-111-1-1111-111111-1-11-1-111-1-1-1-111-1-11-1-11-1-1-1-1-111-111-1-11111-1-111-1-1-11-1-1-1-1-111-111-1-11111-1-111-1
χ3011-111111-1-11-1-11-1-11111-1-11-111-111111-1-11-1-11-1-11111-1-11-111-111111-1-11-1-11-1-11111-1-11-1-1-11-1-1-1-1-111-111-111-1-1-1-111-11-1-11-1-1-1-1-111-111-111-1-1-1-111-11
χ3111-111111-1-11-1-1-111-111-111-1-111-111111-1-11-1-1-111-111-111-1-111-111111-1-11-1-1-111-111-111-1-1-1-11-1-1-1-1-111-1111-1-11-1-11-1-111-1-11-1-1-1-1-111-1111-1-11-1-11-1-111
χ3211-111111-1-11-1-1-1-111-1-1-1-111111-111111-1-11-1-1-1-111-1-1-1-111111-111111-1-11-1-1-1-111-1-1-1-1111-1-11-1-1-1-1-111-11111-1-11111-1-1-1-1-11-1-1-1-1-111-11111-1-11111-1-1-1
χ332222-12-1-12-1-1-1-10202000-10-102222-12-1-12-1-1-1-10202000-10-102222-12-1-12-1-1-1-10202000-10-10-2-2-2-21-211-211110-20-20001010-2-2-2-21-211-211110-20-20001010
χ342222-12-1-12-1-1-1-10-20-200010102222-12-1-12-1-1-1-10-20-200010102222-12-1-12-1-1-1-10-20-20001010-2-2-2-21-211-211110202000-10-10-2-2-2-21-211-211110202000-10-10
χ35222-12-12-1-12-1-1-1202000-10-100222-12-12-1-12-1-1-1202000-10-100222-12-12-1-12-1-1-1202000-10-100-2-2-21-21-211-2111-20-200010100-2-2-21-21-211-2111-20-200010100
χ36222-12-12-1-12-1-1-1-20-200010100222-12-12-1-12-1-1-1-20-200010100222-12-12-1-12-1-1-1-20-200010100-2-2-21-21-211-2111202000-10-100-2-2-21-21-211-2111202000-10-100
χ3722-22-12-1-1-21-111020-2000-101022-22-12-1-1-21-111020-2000-101022-22-12-1-1-21-111020-2000-1010-2-22-21-2112-11-1-10-20200010-10-2-22-21-2112-11-1-10-20200010-10
χ3822-22-12-1-1-21-1110-20200010-1022-22-12-1-1-21-1110-20200010-1022-22-12-1-1-21-1110-20200010-10-2-22-21-2112-11-1-1020-2000-1010-2-22-21-2112-11-1-1020-2000-1010
χ3922-2-12-12-11-2-11120-2000-1010022-2-12-12-11-2-11120-2000-1010022-2-12-12-11-2-11120-2000-10100-2-221-21-21-121-1-1-20200010-100-2-221-21-21-121-1-1-20200010-100
χ4022-2-12-12-11-2-111-20200010-10022-2-12-12-11-2-111-20200010-10022-2-12-12-11-2-111-20200010-100-2-221-21-21-121-1-120-2000-10100-2-221-21-21-121-1-120-2000-10100
χ412-2022-2-2200-20000002i−2i000002-2022-2-2200-20000002i−2i000002-2022-2-2200-20000002i−2i00000-220-2-222-2002000000−2i2i00000-220-2-222-2002000000−2i2i00000
χ422-2022-2-2200-2000000−2i2i000002-2022-2-2200-2000000−2i2i000002-2022-2-2200-2000000−2i2i00000-220-2-222-20020000002i−2i00000-220-2-222-20020000002i−2i00000
χ43444-2-2-2-21-2-211100000000000444-2-2-2-21-2-211100000000000444-2-2-2-21-2-211100000000000-4-4-42222-122-1-1-100000000000-4-4-42222-122-1-1-100000000000
χ4444-4-2-2-2-21221-1-10000000000044-4-2-2-2-21221-1-10000000000044-4-2-2-2-21221-1-100000000000-4-442222-1-2-2-11100000000000-4-442222-1-2-2-11100000000000
χ454-404-2-42-200200000000000004-404-2-42-200200000000000004-404-2-42-20020000000000000-440-424-2200-20000000000000-440-424-2200-20000000000000
χ464-40-242-4-200200000000000004-40-242-4-200200000000000004-40-242-4-20020000000000000-4402-4-24200-20000000000000-4402-4-24200-20000000000000
χ474-40-2-222100-13-3000000000004-40-2-222100-13-3000000000004-40-2-222100-13-300000000000-44022-2-2-1001-3300000000000-44022-2-2-1001-3300000000000
χ484-40-2-222100-1-33000000000004-40-2-222100-1-33000000000004-40-2-222100-1-3300000000000-44022-2-2-10013-300000000000-44022-2-2-10013-300000000000
χ49111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ5011111111111111-11-1-1-11-11-1-111111111111111-11-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-11-111iiiiiiiiiiiiii−ii−i−i−ii−ii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−ii−iiii−ii−iii
χ511111111111111-11-11-1-1-11-11-11111111111111-11-11-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1111-11-11iiiiiiiiiiiii−ii−ii−i−i−ii−ii−i−i−i−i−i−i−i−i−i−i−i−i−i−ii−ii−iiii−ii−ii
χ521111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1iiiiiiiiiiiii−i−i−i−iii−i−i−i−ii−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−iiiii−i
χ5311-111111-1-11-1-111-1-1-1-111-1-1111-111111-1-11-1-111-1-1-1-111-1-11-1-11-1-1-1-1-111-111-1-11111-1-111-1ii−iiiiii−i−ii−i−iii−i−i−i−iii−i−ii−i−ii−i−i−i−i−iii−iii−i−iiiii−i−iii−i
χ5411-111111-1-11-1-11-1-11111-1-11-111-111111-1-11-1-11-1-11111-1-11-1-1-11-1-1-1-1-111-111-111-1-1-1-111-11ii−iiiiii−i−ii−i−ii−i−iiiii−i−ii−i−i−ii−i−i−i−i−iii−iii−iii−i−i−i−iii−ii
χ5511-111111-1-11-1-1-111-111-111-1-111-111111-1-11-1-1-111-111-111-1-1-1-11-1-1-1-1-111-1111-1-11-1-11-1-111ii−iiiiii−i−ii−i−i−iii−iii−iii−i−i−i−ii−i−i−i−i−iii−iiii−i−ii−i−ii−i−iii
χ5611-111111-1-11-1-1-1-111-1-1-1-111111-111111-1-11-1-1-1-111-1-1-1-1111-1-11-1-1-1-1-111-11111-1-11111-1-1-1ii−iiiiii−i−ii−i−i−i−iii−i−i−i−iiii−i−ii−i−i−i−i−iii−iiiii−i−iiiii−i−i−i
χ572222-12-1-12-1-1-1-10202000-10-102222-12-1-12-1-1-1-10202000-10-10-2-2-2-21-211-211110-20-200010102i2i2i2i−i2i−i−i2i−i−i−i−i02i02i000−i0−i0−2i−2i−2i−2ii−2iii−2iiiii0−2i0−2i000i0i0
χ582222-12-1-12-1-1-1-10-20-200010102222-12-1-12-1-1-1-10-20-20001010-2-2-2-21-211-211110202000-10-102i2i2i2i−i2i−i−i2i−i−i−i−i0−2i0−2i000i0i0−2i−2i−2i−2ii−2iii−2iiiii02i02i000−i0−i0
χ59222-12-12-1-12-1-1-1202000-10-100222-12-12-1-12-1-1-1202000-10-100-2-2-21-21-211-2111-20-2000101002i2i2i−i2i−i2i−i−i2i−i−i−i2i02i000−i0−i00−2i−2i−2ii−2ii−2iii−2iiii−2i0−2i000i0i00
χ60222-12-12-1-12-1-1-1-20-200010100222-12-12-1-12-1-1-1-20-200010100-2-2-21-21-211-2111202000-10-1002i2i2i−i2i−i2i−i−i2i−i−i−i−2i0−2i000i0i00−2i−2i−2ii−2ii−2iii−2iiii2i02i000−i0−i00
χ6122-22-12-1-1-21-111020-2000-101022-22-12-1-1-21-111020-2000-1010-2-22-21-2112-11-1-10-20200010-102i2i−2i2i−i2i−i−i−2ii−iii02i0−2i000−i0i0−2i−2i2i−2ii−2iii2i−ii−i−i0−2i02i000i0−i0
χ6222-22-12-1-1-21-1110-20200010-1022-22-12-1-1-21-1110-20200010-10-2-22-21-2112-11-1-1020-2000-10102i2i−2i2i−i2i−i−i−2ii−iii0−2i02i000i0−i0−2i−2i2i−2ii−2iii2i−ii−i−i02i0−2i000−i0i0
χ6322-2-12-12-11-2-11120-2000-1010022-2-12-12-11-2-11120-2000-10100-2-221-21-21-121-1-1-20200010-1002i2i−2i−i2i−i2i−ii−2i−iii2i0−2i000−i0i00−2i−2i2ii−2ii−2ii−i2ii−i−i−2i02i000i0−i00
χ6422-2-12-12-11-2-111-20200010-10022-2-12-12-11-2-111-20200010-100-2-221-21-21-121-1-120-2000-101002i2i−2i−i2i−i2i−ii−2i−iii−2i02i000i0−i00−2i−2i2ii−2ii−2ii−i2ii−i−i2i0−2i000−i0i00
χ652-2022-2-2200-20000002i−2i000002-2022-2-2200-20000002i−2i00000-220-2-222-2002000000−2i2i000002i−2i02i2i−2i−2i2i00−2i000000-2200000−2i2i0−2i−2i2i2i−2i002i0000002-200000
χ662-2022-2-2200-2000000−2i2i000002-2022-2-2200-2000000−2i2i00000-220-2-222-20020000002i−2i000002i−2i02i2i−2i−2i2i00−2i0000002-200000−2i2i0−2i−2i2i2i−2i002i000000-2200000
χ67444-2-2-2-21-2-211100000000000444-2-2-2-21-2-211100000000000-4-4-42222-122-1-1-1000000000004i4i4i−2i−2i−2i−2ii−2i−2iiii00000000000−4i−4i−4i2i2i2i2i−i2i2i−i−i−i00000000000
χ6844-4-2-2-2-21221-1-10000000000044-4-2-2-2-21221-1-100000000000-4-442222-1-2-2-111000000000004i4i−4i−2i−2i−2i−2ii2i2ii−i−i00000000000−4i−4i4i2i2i2i2i−i−2i−2i−iii00000000000
χ694-404-2-42-200200000000000004-404-2-42-20020000000000000-440-424-2200-200000000000004i−4i04i−2i−4i2i−2i002i0000000000000−4i4i0−4i2i4i−2i2i00−2i0000000000000
χ704-40-242-4-200200000000000004-40-242-4-20020000000000000-4402-4-24200-200000000000004i−4i0−2i4i2i−4i−2i002i0000000000000−4i4i02i−4i−2i4i2i00−2i0000000000000
χ714-40-2-222100-13-3000000000004-40-2-222100-13-300000000000-44022-2-2-1001-33000000000004i−4i0−2i−2i2i2ii00−i3i−3i00000000000−4i4i02i2i−2i−2i−i00i−3i3i00000000000
χ724-40-2-222100-1-33000000000004-40-2-222100-1-3300000000000-44022-2-2-10013-3000000000004i−4i0−2i−2i2i2ii00−i−3i3i00000000000−4i4i02i2i−2i−2i−i00i3i−3i00000000000
χ73111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiii
χ7411111111111111-11-1-1-11-11-1-111111111111111-11-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-11-111−i−i−i−i−i−i−i−i−i−i−i−i−i−ii−iiii−ii−iiiiiiiiiiiiiiiii−ii−i−i−ii−ii−i−i
χ751111111111111-11-11-1-1-11-11-11111111111111-11-11-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1111-11-11−i−i−i−i−i−i−i−i−i−i−i−i−ii−ii−iiii−ii−iiiiiiiiiiiiiii−ii−ii−i−i−ii−ii−i
χ761111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−iiiii−iiiiiiiiiiiiii−i−i−i−iii−i−i−i−ii
χ7711-111111-1-11-1-111-1-1-1-111-1-1111-111111-1-11-1-111-1-1-1-111-1-11-1-11-1-1-1-1-111-111-1-11111-1-111-1−i−ii−i−i−i−i−iii−iii−i−iiiii−i−iii−iii−iiiiii−i−ii−i−iii−i−i−i−iii−i−ii
χ7811-111111-1-11-1-11-1-11111-1-11-111-111111-1-11-1-11-1-11111-1-11-1-1-11-1-1-1-1-111-111-111-1-1-1-111-11−i−ii−i−i−i−i−iii−iii−iii−i−i−i−iii−iiii−iiiiii−i−ii−i−ii−i−iiiii−i−ii−i
χ7911-111111-1-11-1-1-111-111-111-1-111-111111-1-11-1-1-111-111-111-1-1-1-11-1-1-1-1-111-1111-1-11-1-11-1-111−i−ii−i−i−i−i−iii−iiii−i−ii−i−ii−i−iiiii−iiiiii−i−ii−i−i−iii−iii−iii−i−i
χ8011-111111-1-11-1-1-1-111-1-1-1-111111-111111-1-11-1-1-1-111-1-1-1-1111-1-11-1-1-1-1-111-11111-1-11111-1-1-1−i−ii−i−i−i−i−iii−iiiii−i−iiiii−i−i−iii−iiiiii−i−ii−i−i−i−iii−i−i−i−iiii
χ812222-12-1-12-1-1-1-10202000-10-102222-12-1-12-1-1-1-10202000-10-10-2-2-2-21-211-211110-20-20001010−2i−2i−2i−2ii−2iii−2iiiii0−2i0−2i000i0i02i2i2i2i−i2i−i−i2i−i−i−i−i02i02i000−i0−i0
χ822222-12-1-12-1-1-1-10-20-200010102222-12-1-12-1-1-1-10-20-20001010-2-2-2-21-211-211110202000-10-10−2i−2i−2i−2ii−2iii−2iiiii02i02i000−i0−i02i2i2i2i−i2i−i−i2i−i−i−i−i0−2i0−2i000i0i0
χ83222-12-12-1-12-1-1-1202000-10-100222-12-12-1-12-1-1-1202000-10-100-2-2-21-21-211-2111-20-200010100−2i−2i−2ii−2ii−2iii−2iiii−2i0−2i000i0i002i2i2i−i2i−i2i−i−i2i−i−i−i2i02i000−i0−i00
χ84222-12-12-1-12-1-1-1-20-200010100222-12-12-1-12-1-1-1-20-200010100-2-2-21-21-211-2111202000-10-100−2i−2i−2ii−2ii−2iii−2iiii2i02i000−i0−i002i2i2i−i2i−i2i−i−i2i−i−i−i−2i0−2i000i0i00
χ8522-22-12-1-1-21-111020-2000-101022-22-12-1-1-21-111020-2000-1010-2-22-21-2112-11-1-10-20200010-10−2i−2i2i−2ii−2iii2i−ii−i−i0−2i02i000i0−i02i2i−2i2i−i2i−i−i−2ii−iii02i0−2i000−i0i0
χ8622-22-12-1-1-21-1110-20200010-1022-22-12-1-1-21-1110-20200010-10-2-22-21-2112-11-1-1020-2000-1010−2i−2i2i−2ii−2iii2i−ii−i−i02i0−2i000−i0i02i2i−2i2i−i2i−i−i−2ii−iii0−2i02i000i0−i0
χ8722-2-12-12-11-2-11120-2000-1010022-2-12-12-11-2-11120-2000-10100-2-221-21-21-121-1-1-20200010-100−2i−2i2ii−2ii−2ii−i2ii−i−i−2i02i000i0−i002i2i−2i−i2i−i2i−ii−2i−iii2i0−2i000−i0i00
χ8822-2-12-12-11-2-111-20200010-10022-2-12-12-11-2-111-20200010-100-2-221-21-21-121-1-120-2000-10100−2i−2i2ii−2ii−2ii−i2ii−i−i2i0−2i000−i0i002i2i−2i−i2i−i2i−ii−2i−iii−2i02i000i0−i00
χ892-2022-2-2200-20000002i−2i000002-2022-2-2200-20000002i−2i00000-220-2-222-2002000000−2i2i00000−2i2i0−2i−2i2i2i−2i002i0000002-2000002i−2i02i2i−2i−2i2i00−2i000000-2200000
χ902-2022-2-2200-2000000−2i2i000002-2022-2-2200-2000000−2i2i00000-220-2-222-20020000002i−2i00000−2i2i0−2i−2i2i2i−2i002i000000-22000002i−2i02i2i−2i−2i2i00−2i0000002-200000
χ91444-2-2-2-21-2-211100000000000444-2-2-2-21-2-211100000000000-4-4-42222-122-1-1-100000000000−4i−4i−4i2i2i2i2i−i2i2i−i−i−i000000000004i4i4i−2i−2i−2i−2ii−2i−2iiii00000000000
χ9244-4-2-2-2-21221-1-10000000000044-4-2-2-2-21221-1-100000000000-4-442222-1-2-2-11100000000000−4i−4i4i2i2i2i2i−i−2i−2i−iii000000000004i4i−4i−2i−2i−2i−2ii2i2ii−i−i00000000000
χ934-404-2-42-200200000000000004-404-2-42-20020000000000000-440-424-2200-20000000000000−4i4i0−4i2i4i−2i2i00−2i00000000000004i−4i04i−2i−4i2i−2i002i0000000000000
χ944-40-242-4-200200000000000004-40-242-4-20020000000000000-4402-4-24200-20000000000000−4i4i02i−4i−2i4i2i00−2i00000000000004i−4i0−2i4i2i−4i−2i002i0000000000000
χ954-40-2-222100-13-3000000000004-40-2-222100-13-300000000000-44022-2-2-1001-3300000000000−4i4i02i2i−2i−2i−i00i−3i3i000000000004i−4i0−2i−2i2i2ii00−i3i−3i00000000000
χ964-40-2-222100-1-33000000000004-40-2-222100-1-3300000000000-44022-2-2-10013-300000000000−4i4i02i2i−2i−2i−i00i3i−3i000000000004i−4i0−2i−2i2i2ii00−i−3i3i00000000000
χ97444444444444444444444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000000000000000000000000000
χ9844444444444444-44-4-4-44-44-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-11-111000000000000000000000000000000000000000000000000000000000000000000000000
χ994444444444444-44-44-4-4-44-44-4-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1111-11-11000000000000000000000000000000000000000000000000000000000000000000000000
χ1004444444444444-4-4-4-444-4-4-4-44-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1000000000000000000000000000000000000000000000000000000000000000000000000
χ10144-444444-4-44-4-444-4-4-4-444-4-44-1-11-1-1-1-1-111-111-1-11111-1-111-1000000000000000000000000000000000000000000000000000000000000000000000000
χ10244-444444-4-44-4-44-4-44444-4-44-4-1-11-1-1-1-1-111-111-111-1-1-1-111-11000000000000000000000000000000000000000000000000000000000000000000000000
χ10344-444444-4-44-4-4-444-444-444-4-4-1-11-1-1-1-1-111-1111-1-11-1-11-1-111000000000000000000000000000000000000000000000000000000000000000000000000
χ10444-444444-4-44-4-4-4-444-4-4-4-4444-1-11-1-1-1-1-111-11111-1-11111-1-1-1000000000000000000000000000000000000000000000000000000000000000000000000
χ1058888-48-4-48-4-4-4-40808000-40-40-2-2-2-21-211-211110-20-20001010000000000000000000000000000000000000000000000000000000000000000000000000
χ1068888-48-4-48-4-4-4-40-80-80004040-2-2-2-21-211-211110202000-10-10000000000000000000000000000000000000000000000000000000000000000000000000
χ107888-48-48-4-48-4-4-4808000-40-400-2-2-21-21-211-2111-20-200010100000000000000000000000000000000000000000000000000000000000000000000000000
χ108888-48-48-4-48-4-4-4-80-800040400-2-2-21-21-211-2111202000-10-100000000000000000000000000000000000000000000000000000000000000000000000000
χ10988-88-48-4-4-84-444080-8000-4040-2-22-21-2112-11-1-10-20200010-10000000000000000000000000000000000000000000000000000000000000000000000000
χ11088-88-48-4-4-84-4440-80800040-40-2-22-21-2112-11-1-1020-2000-1010000000000000000000000000000000000000000000000000000000000000000000000000
χ11188-8-48-48-44-8-44480-8000-40400-2-221-21-21-121-1-1-20200010-100000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-48-48-44-8-444-80800040-400-2-221-21-21-121-1-120-2000-10100000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8088-8-8800-80000008i−8i00000-220-2-222-2002000000−2i2i00000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8088-8-8800-8000000−8i8i00000-220-2-222-20020000002i−2i00000000000000000000000000000000000000000000000000000000000000000000000000000
χ115161616-8-8-8-84-8-844400000000000-4-4-42222-122-1-1-100000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1161616-16-8-8-8-84884-4-400000000000-4-442222-1-2-2-11100000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11716-16016-8-168-80080000000000000-440-424-2200-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11816-160-8168-16-80080000000000000-4402-4-24200-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11916-160-8-888400-412-1200000000000-44022-2-2-1001-3300000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12016-160-8-888400-4-121200000000000-44022-2-2-10013-300000000000000000000000000000000000000000000000000000000000000000000000000000000000

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