Finite Group Databasebeta

← Group #13017087

Character table — Group #13017087

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size111144444888888810101010202020202020202040111144444888888810101010202020202020202040111144444888888810101010202020202020202040111144444888888810101010202020202020202040
order12224510101042020202020204444888888884444442020202042020202020204444888888884222241010101042020202020204444888888884444442020202042020202020204444888888884
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-11
χ31111111111111111-1-1-1-1iiii−i−i−i−i-11111111111111111-1-1-1-1iiii−i−i−i−i-11111111111111111-1-1-1-1iiii−i−i−i−i-11111111111111111-1-1-1-1iiii−i−i−i−i-1
χ41111111111111111-1-1-1-1−i−i−i−iiiii-11111111111111111-1-1-1-1−i−i−i−iiiii-11111111111111111-1-1-1-1−i−i−i−iiiii-11111111111111111-1-1-1-1−i−i−i−iiiii-1
χ5111111111-111-1-1-1-1111111-1-111-1-1-1111111111-111-1-1-1-1111111-1-111-1-1-1111111111-111-1-1-1-1111111-1-111-1-1-1111111111-111-1-1-1-1111111-1-111-1-1-1
χ6111111111-111-1-1-1-11111-1-111-1-111-1111111111-111-1-1-1-11111-1-111-1-111-1111111111-111-1-1-1-11111-1-111-1-111-1111111111-111-1-1-1-11111-1-111-1-111-1
χ7111111111-111-1-1-1-1-1-1-1-1ii−i−i−i−iii1111111111-111-1-1-1-1-1-1-1-1ii−i−i−i−iii1111111111-111-1-1-1-1-1-1-1-1ii−i−i−i−iii1111111111-111-1-1-1-1-1-1-1-1ii−i−i−i−iii1
χ8111111111-111-1-1-1-1-1-1-1-1−i−iiiii−i−i1111111111-111-1-1-1-1-1-1-1-1−i−iiiii−i−i1111111111-111-1-1-1-1-1-1-1-1−i−iiiii−i−i1111111111-111-1-1-1-1-1-1-1-1−i−iiiii−i−i1
χ92222-222220-2-200002-22-20000000002222-222220-2-200002-22-20000000002222-222220-2-200002-22-20000000002222-222220-2-200002-22-2000000000
χ102222-222220-2-20000-22-220000000002222-222220-2-20000-22-220000000002222-222220-2-20000-22-220000000002222-222220-2-20000-22-22000000000
χ1122-2-2022-2-20000000020-22−2002−200022-2-2022-2-20000000020-22−2002−200022-2-2022-2-20000000020-22−2002−200022-2-2022-2-20000000020-22−2002−2000
χ1222-2-2022-2-20000000020-2−2200−2200022-2-2022-2-20000000020-2−2200−2200022-2-2022-2-20000000020-2−2200−2200022-2-2022-2-20000000020-2−2200−22000
χ1322-2-2022-2-200000000-202i2−i200−i2i200022-2-2022-2-200000000-202i2−i200−i2i200022-2-2022-2-200000000-202i2−i200−i2i200022-2-2022-2-200000000-202i2−i200−i2i2000
χ1422-2-2022-2-200000000-202−i2i200i2−i200022-2-2022-2-200000000-202−i2i200i2−i200022-2-2022-2-200000000-202−i2i200i2−i200022-2-2022-2-200000000-202−i2i200i2−i2000
χ152-22-202-22-2000000020-20002−2002−202-22-202-22-2000000020-20002−2002−202-22-202-22-2000000020-20002−2002−202-22-202-22-2000000020-20002−2002−20
χ162-22-202-22-2000000020-2000−2200−2202-22-202-22-2000000020-2000−2200−2202-22-202-22-2000000020-2000−2200−2202-22-202-22-2000000020-2000−2200−220
χ172-22-202-22-20000000-202000i2−i200−i2i202-22-202-22-20000000-202000i2−i200−i2i202-22-202-22-20000000-202000i2−i200−i2i202-22-202-22-20000000-202000i2−i200−i2i20
χ182-22-202-22-20000000-202000−i2i200i2−i202-22-202-22-20000000-202000−i2i200i2−i202-22-202-22-20000000-202000−i2i200i2−i202-22-202-22-20000000-202000−i2i200i2−i20
χ1944444-1-1-1-14-1-1-1-1-1-1000000000000044444-1-1-1-14-1-1-1-1-1-1000000000000044444-1-1-1-14-1-1-1-1-1-1000000000000044444-1-1-1-14-1-1-1-1-1-10000000000000
χ2044444-1-1-1-1-4-1-11111000000000000044444-1-1-1-1-4-1-11111000000000000044444-1-1-1-1-4-1-11111000000000000044444-1-1-1-1-4-1-111110000000000000
χ214444-4-1-1-1-101155−5−500000000000004444-4-1-1-1-101155−5−500000000000004444-4-1-1-1-101155−5−500000000000004444-4-1-1-1-101155−5−50000000000000
χ224444-4-1-1-1-1011−5−55500000000000004444-4-1-1-1-1011−5−55500000000000004444-4-1-1-1-1011−5−55500000000000004444-4-1-1-1-1011−5−5550000000000000
χ234-4-4404-4-44000000000000000000004-4-4404-4-44000000000000000000004-4-4404-4-44000000000000000000004-4-4404-4-4400000000000000000000
χ244-4-440-111-105−5−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ3600000000000004-4-440-111-105−5−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ3600000000000004-4-440-111-105−5−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ3600000000000004-4-440-111-105−5−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ360000000000000
χ254-4-440-111-105−5ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ3600000000000004-4-440-111-105−5ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ3600000000000004-4-440-111-105−5ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ3600000000000004-4-440-111-105−5ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ360000000000000
χ264-4-440-111-10−55−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ3600000000000004-4-440-111-10−55−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ3600000000000004-4-440-111-10−55−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ3600000000000004-4-440-111-10−55−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ360000000000000
χ274-4-440-111-10−55ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ3600000000000004-4-440-111-10−55ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ3600000000000004-4-440-111-10−55ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ3600000000000004-4-440-111-10−55ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ360000000000000
χ2888-8-80-2-2220000000000000000000088-8-80-2-2220000000000000000000088-8-80-2-2220000000000000000000088-8-80-2-22200000000000000000000
χ298-88-80-22-22000000000000000000008-88-80-22-22000000000000000000008-88-80-22-22000000000000000000008-88-80-22-2200000000000000000000
χ3011111111111111111111111111111iiiiiiiiiiiiiiiiiiiiiiiiiiiii-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−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ3111111111111111111111-1-1-1-1-1-1-1-11iiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i
χ321111111111111111-1-1-1-1iiii−i−i−i−i-1iiiiiiiiiiiiiiii−i−i−i−i-1-1-1-11111−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii1111-1-1-1-1i
χ331111111111111111-1-1-1-1−i−i−i−iiiii-1iiiiiiiiiiiiiiii−i−i−i−i1111-1-1-1-1−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-1-1-11111i
χ34111111111-111-1-1-1-1111111-1-111-1-1-1iiiiiiiii−iii−i−i−i−iiiiiii−i−iii−i−i−i-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111-1-1111−i−i−i−i−i−i−i−i−ii−i−iiiii−i−i−i−i−i−iii−i−iiii
χ35111111111-111-1-1-1-11111-1-111-1-111-1iiiiiiiii−iii−i−i−i−iiiii−i−iii−i−iii−i-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-111-1-11−i−i−i−i−i−i−i−i−ii−i−iiiii−i−i−i−iii−i−iii−i−ii
χ36111111111-111-1-1-1-1-1-1-1-1ii−i−i−i−iii1iiiiiiiii−iii−i−i−i−i−i−i−i−i-1-11111-1-1i-1-1-1-1-1-1-1-1-11-1-111111111−i−iiiii−i−i-1−i−i−i−i−i−i−i−i−ii−i−iiiiiiiii11-1-1-1-111−i
χ37111111111-111-1-1-1-1-1-1-1-1−i−iiiii−i−i1iiiiiiiii−iii−i−i−i−i−i−i−i−i11-1-1-1-111i-1-1-1-1-1-1-1-1-11-1-111111111ii−i−i−i−iii-1−i−i−i−i−i−i−i−i−ii−i−iiiiiiiii-1-11111-1-1−i
χ382222-222220-2-200002-22-20000000002i2i2i2i−2i2i2i2i2i0−2i−2i00002i−2i2i−2i000000000-2-2-2-22-2-2-2-20220000-22-22000000000−2i−2i−2i−2i2i−2i−2i−2i−2i02i2i0000−2i2i−2i2i000000000
χ392222-222220-2-20000-22-220000000002i2i2i2i−2i2i2i2i2i0−2i−2i0000−2i2i−2i2i000000000-2-2-2-22-2-2-2-202200002-22-2000000000−2i−2i−2i−2i2i−2i−2i−2i−2i02i2i00002i−2i2i−2i000000000
χ4022-2-2022-2-20000000020-22−2002−20002i2i−2i−2i02i2i−2i−2i000000002i0−2ii2−i200i2−i2000-2-2220-2-22200000000-202−2200−22000−2i−2i2i2i0−2i−2i2i2i00000000−2i02i−i2i200−i2i2000
χ4122-2-2022-2-20000000020-2−2200−220002i2i−2i−2i02i2i−2i−2i000000002i0−2i−i2i200−i2i2000-2-2220-2-22200000000-2022−2002−2000−2i−2i2i2i0−2i−2i2i2i00000000−2i02ii2−i200i2−i2000
χ4222-2-2022-2-200000000-202i2−i200−i2i20002i2i−2i−2i02i2i−2i−2i00000000−2i02i−22002−2000-2-2220-2-2220000000020-2−i2i200i2−i2000−2i−2i2i2i0−2i−2i2i2i000000002i0−2i2−200−22000
χ4322-2-2022-2-200000000-202−i2i200i2−i20002i2i−2i−2i02i2i−2i−2i00000000−2i02i2−200−22000-2-2220-2-2220000000020-2i2−i200−i2i2000−2i−2i2i2i0−2i−2i2i2i000000002i0−2i−22002−2000
χ442-22-202-22-2000000020-20002−2002−202i−2i2i−2i02i−2i2i−2i00000002i0−2i000i2−i200i2−i20-22-220-22-220000000-202000−2200−220−2i2i−2i2i0−2i2i−2i2i0000000−2i02i000−i2i200−i2i20
χ452-22-202-22-2000000020-2000−2200−2202i−2i2i−2i02i−2i2i−2i00000002i0−2i000−i2i200−i2i20-22-220-22-220000000-2020002−2002−20−2i2i−2i2i0−2i2i−2i2i0000000−2i02i000i2−i200i2−i20
χ462-22-202-22-20000000-202000i2−i200−i2i202i−2i2i−2i02i−2i2i−2i0000000−2i02i000−22002−20-22-220-22-22000000020-2000−i2i200i2−i20−2i2i−2i2i0−2i2i−2i2i00000002i0−2i0002−200−220
χ472-22-202-22-20000000-202000−i2i200i2−i202i−2i2i−2i02i−2i2i−2i0000000−2i02i0002−200−220-22-220-22-22000000020-2000i2−i200−i2i20−2i2i−2i2i0−2i2i−2i2i00000002i0−2i000−22002−20
χ4844444-1-1-1-14-1-1-1-1-1-100000000000004i4i4i4i4i−i−i−i−i4i−i−i−i−i−i−i0000000000000-4-4-4-4-41111-41111110000000000000−4i−4i−4i−4i−4iiiii−4iiiiiii0000000000000
χ4944444-1-1-1-1-4-1-1111100000000000004i4i4i4i4i−i−i−i−i−4i−i−iiiii0000000000000-4-4-4-4-41111411-1-1-1-10000000000000−4i−4i−4i−4i−4iiiii4iii−i−i−i−i0000000000000
χ504444-4-1-1-1-101155−5−500000000000004i4i4i4i−4i−i−i−i−i0iii5i5−i5−i50000000000000-4-4-4-4411110-1-1−5−5550000000000000−4i−4i−4i−4i4iiiii0−i−i−i5−i5i5i50000000000000
χ514444-4-1-1-1-1011−5−55500000000000004i4i4i4i−4i−i−i−i−i0ii−i5−i5i5i50000000000000-4-4-4-4411110-1-155−5−50000000000000−4i−4i−4i−4i4iiiii0−i−ii5i5−i5−i50000000000000
χ524-4-4404-4-44000000000000000000004i−4i−4i4i04i−4i−4i4i00000000000000000000-444-40-444-400000000000000000000−4i4i4i−4i0−4i4i4i−4i00000000000000000000
χ534-4-440-111-105−5−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ3600000000000004i−4i−4i4i0−iii−i0i5−i5ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ380000000000000-444-401-1-110−55ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ360000000000000−4i4i4i−4i0i−i−ii0−i5i5−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ380000000000000
χ544-4-440-111-105−5ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ3600000000000004i−4i−4i4i0−iii−i0i5−i5−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ380000000000000-444-401-1-110−55−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ360000000000000−4i4i4i−4i0i−i−ii0−i5i5ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ380000000000000
χ554-4-440-111-10−55−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ3600000000000004i−4i−4i4i0−iii−i0−i5i5ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ380000000000000-444-401-1-1105−5ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ360000000000000−4i4i4i−4i0i−i−ii0i5−i5−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ380000000000000
χ564-4-440-111-10−55ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ3600000000000004i−4i−4i4i0−iii−i0−i5i5−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ380000000000000-444-401-1-1105−5−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ360000000000000−4i4i4i−4i0i−i−ii0i5−i5ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ380000000000000
χ5788-8-80-2-222000000000000000000008i8i−8i−8i0−2i−2i2i2i00000000000000000000-8-888022-2-200000000000000000000−8i−8i8i8i02i2i−2i−2i00000000000000000000
χ588-88-80-22-22000000000000000000008i−8i8i−8i0−2i2i−2i2i00000000000000000000-88-8802-22-200000000000000000000−8i8i−8i8i02i−2i2i−2i00000000000000000000
χ5911111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ6011111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1
χ611111111111111111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii11111111111111111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii1
χ621111111111111111-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i11111111111111111-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i1
χ63111111111-111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111-1-1111111111111-111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111-1-1111
χ64111111111-111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-111-1-11111111111-111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-111-1-11
χ65111111111-111-1-1-1-1-1-1-1-1ii−i−i−i−iii1-1-1-1-1-1-1-1-1-11-1-111111111−i−iiiii−i−i-1111111111-111-1-1-1-1-1-1-1-1ii−i−i−i−iii1-1-1-1-1-1-1-1-1-11-1-111111111−i−iiiii−i−i-1
χ66111111111-111-1-1-1-1-1-1-1-1−i−iiiii−i−i1-1-1-1-1-1-1-1-1-11-1-111111111ii−i−i−i−iii-1111111111-111-1-1-1-1-1-1-1-1−i−iiiii−i−i1-1-1-1-1-1-1-1-1-11-1-111111111ii−i−i−i−iii-1
χ672222-222220-2-200002-22-2000000000-2-2-2-22-2-2-2-20220000-22-220000000002222-222220-2-200002-22-2000000000-2-2-2-22-2-2-2-20220000-22-22000000000
χ682222-222220-2-20000-22-22000000000-2-2-2-22-2-2-2-202200002-22-20000000002222-222220-2-20000-22-22000000000-2-2-2-22-2-2-2-202200002-22-2000000000
χ6922-2-2022-2-20000000020-22−2002−2000-2-2220-2-22200000000-202−2200−2200022-2-2022-2-20000000020-22−2002−2000-2-2220-2-22200000000-202−2200−22000
χ7022-2-2022-2-20000000020-2−2200−22000-2-2220-2-22200000000-2022−2002−200022-2-2022-2-20000000020-2−2200−22000-2-2220-2-22200000000-2022−2002−2000
χ7122-2-2022-2-200000000-202i2−i200−i2i2000-2-2220-2-2220000000020-2−i2i200i2−i200022-2-2022-2-200000000-202i2−i200−i2i2000-2-2220-2-2220000000020-2−i2i200i2−i2000
χ7222-2-2022-2-200000000-202−i2i200i2−i2000-2-2220-2-2220000000020-2i2−i200−i2i200022-2-2022-2-200000000-202−i2i200i2−i2000-2-2220-2-2220000000020-2i2−i200−i2i2000
χ732-22-202-22-2000000020-20002−2002−20-22-220-22-220000000-202000−2200−2202-22-202-22-2000000020-20002−2002−20-22-220-22-220000000-202000−2200−220
χ742-22-202-22-2000000020-2000−2200−220-22-220-22-220000000-2020002−2002−202-22-202-22-2000000020-2000−2200−220-22-220-22-220000000-2020002−2002−20
χ752-22-202-22-20000000-202000i2−i200−i2i20-22-220-22-22000000020-2000−i2i200i2−i202-22-202-22-20000000-202000i2−i200−i2i20-22-220-22-22000000020-2000−i2i200i2−i20
χ762-22-202-22-20000000-202000−i2i200i2−i20-22-220-22-22000000020-2000i2−i200−i2i202-22-202-22-20000000-202000−i2i200i2−i20-22-220-22-22000000020-2000i2−i200−i2i20
χ7744444-1-1-1-14-1-1-1-1-1-10000000000000-4-4-4-4-41111-4111111000000000000044444-1-1-1-14-1-1-1-1-1-10000000000000-4-4-4-4-41111-41111110000000000000
χ7844444-1-1-1-1-4-1-111110000000000000-4-4-4-4-41111411-1-1-1-1000000000000044444-1-1-1-1-4-1-111110000000000000-4-4-4-4-41111411-1-1-1-10000000000000
χ794444-4-1-1-1-101155−5−50000000000000-4-4-4-4411110-1-1−5−55500000000000004444-4-1-1-1-101155−5−50000000000000-4-4-4-4411110-1-1−5−5550000000000000
χ804444-4-1-1-1-1011−5−5550000000000000-4-4-4-4411110-1-155−5−500000000000004444-4-1-1-1-1011−5−5550000000000000-4-4-4-4411110-1-155−5−50000000000000
χ814-4-4404-4-4400000000000000000000-444-40-444-4000000000000000000004-4-4404-4-4400000000000000000000-444-40-444-400000000000000000000
χ824-4-440-111-105−5−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ360000000000000-444-401-1-110−55ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ3600000000000004-4-440-111-105−5−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ360000000000000-444-401-1-110−55ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ360000000000000
χ834-4-440-111-105−5ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ360000000000000-444-401-1-110−55−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ3600000000000004-4-440-111-105−5ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ360000000000000-444-401-1-110−55−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ360000000000000
χ844-4-440-111-10−55−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ360000000000000-444-401-1-1105−5ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ3600000000000004-4-440-111-10−55−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ360000000000000-444-401-1-1105−5ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ360000000000000
χ854-4-440-111-10−55ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ360000000000000-444-401-1-1105−5−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ3600000000000004-4-440-111-10−55ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ360000000000000-444-401-1-1105−5−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ360000000000000
χ8688-8-80-2-22200000000000000000000-8-888022-2-20000000000000000000088-8-80-2-22200000000000000000000-8-888022-2-200000000000000000000
χ878-88-80-22-2200000000000000000000-88-8802-22-2000000000000000000008-88-80-22-2200000000000000000000-88-8802-22-200000000000000000000
χ8811111111111111111111111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiiiiiiii
χ8911111111111111111111-1-1-1-1-1-1-1-11−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1iiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−ii
χ901111111111111111-1-1-1-1iiii−i−i−i−i-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii1111-1-1-1-1i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii1iiiiiiiiiiiiiiii−i−i−i−i-1-1-1-11111−i
χ911111111111111111-1-1-1-1−i−i−i−iiiii-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-1-1-11111i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i1iiiiiiiiiiiiiiii−i−i−i−i1111-1-1-1-1−i
χ92111111111-111-1-1-1-1111111-1-111-1-1-1−i−i−i−i−i−i−i−i−ii−i−iiiii−i−i−i−i−i−iii−i−iiii-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111-1-1111iiiiiiiii−iii−i−i−i−iiiiiii−i−iii−i−i−i
χ93111111111-111-1-1-1-11111-1-111-1-111-1−i−i−i−i−i−i−i−i−ii−i−iiiii−i−i−i−iii−i−iii−i−ii-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-111-1-11iiiiiiiii−iii−i−i−i−iiiii−i−iii−i−iii−i
χ94111111111-111-1-1-1-1-1-1-1-1ii−i−i−i−iii1−i−i−i−i−i−i−i−i−ii−i−iiiiiiiii11-1-1-1-111−i-1-1-1-1-1-1-1-1-11-1-111111111−i−iiiii−i−i-1iiiiiiiii−iii−i−i−i−i−i−i−i−i-1-11111-1-1i
χ95111111111-111-1-1-1-1-1-1-1-1−i−iiiii−i−i1−i−i−i−i−i−i−i−i−ii−i−iiiiiiiii-1-11111-1-1−i-1-1-1-1-1-1-1-1-11-1-111111111ii−i−i−i−iii-1iiiiiiiii−iii−i−i−i−i−i−i−i−i11-1-1-1-111i
χ962222-222220-2-200002-22-2000000000−2i−2i−2i−2i2i−2i−2i−2i−2i02i2i0000−2i2i−2i2i000000000-2-2-2-22-2-2-2-20220000-22-220000000002i2i2i2i−2i2i2i2i2i0−2i−2i00002i−2i2i−2i000000000
χ972222-222220-2-20000-22-22000000000−2i−2i−2i−2i2i−2i−2i−2i−2i02i2i00002i−2i2i−2i000000000-2-2-2-22-2-2-2-202200002-22-20000000002i2i2i2i−2i2i2i2i2i0−2i−2i0000−2i2i−2i2i000000000
χ9822-2-2022-2-20000000020-22−2002−2000−2i−2i2i2i0−2i−2i2i2i00000000−2i02i−i2i200−i2i2000-2-2220-2-22200000000-202−2200−220002i2i−2i−2i02i2i−2i−2i000000002i0−2ii2−i200i2−i2000
χ9922-2-2022-2-20000000020-2−2200−22000−2i−2i2i2i0−2i−2i2i2i00000000−2i02ii2−i200i2−i2000-2-2220-2-22200000000-2022−2002−20002i2i−2i−2i02i2i−2i−2i000000002i0−2i−i2i200−i2i2000
χ10022-2-2022-2-200000000-202i2−i200−i2i2000−2i−2i2i2i0−2i−2i2i2i000000002i0−2i2−200−22000-2-2220-2-2220000000020-2−i2i200i2−i20002i2i−2i−2i02i2i−2i−2i00000000−2i02i−22002−2000
χ10122-2-2022-2-200000000-202−i2i200i2−i2000−2i−2i2i2i0−2i−2i2i2i000000002i0−2i−22002−2000-2-2220-2-2220000000020-2i2−i200−i2i20002i2i−2i−2i02i2i−2i−2i00000000−2i02i2−200−22000
χ1022-22-202-22-2000000020-20002−2002−20−2i2i−2i2i0−2i2i−2i2i0000000−2i02i000−i2i200−i2i20-22-220-22-220000000-202000−2200−2202i−2i2i−2i02i−2i2i−2i00000002i0−2i000i2−i200i2−i20
χ1032-22-202-22-2000000020-2000−2200−220−2i2i−2i2i0−2i2i−2i2i0000000−2i02i000i2−i200i2−i20-22-220-22-220000000-2020002−2002−202i−2i2i−2i02i−2i2i−2i00000002i0−2i000−i2i200−i2i20
χ1042-22-202-22-20000000-202000i2−i200−i2i20−2i2i−2i2i0−2i2i−2i2i00000002i0−2i0002−200−220-22-220-22-22000000020-2000−i2i200i2−i202i−2i2i−2i02i−2i2i−2i0000000−2i02i000−22002−20
χ1052-22-202-22-20000000-202000−i2i200i2−i20−2i2i−2i2i0−2i2i−2i2i00000002i0−2i000−22002−20-22-220-22-22000000020-2000i2−i200−i2i202i−2i2i−2i02i−2i2i−2i0000000−2i02i0002−200−220
χ10644444-1-1-1-14-1-1-1-1-1-10000000000000−4i−4i−4i−4i−4iiiii−4iiiiiii0000000000000-4-4-4-4-41111-411111100000000000004i4i4i4i4i−i−i−i−i4i−i−i−i−i−i−i0000000000000
χ10744444-1-1-1-1-4-1-111110000000000000−4i−4i−4i−4i−4iiiii4iii−i−i−i−i0000000000000-4-4-4-4-41111411-1-1-1-100000000000004i4i4i4i4i−i−i−i−i−4i−i−iiiii0000000000000
χ1084444-4-1-1-1-101155−5−50000000000000−4i−4i−4i−4i4iiiii0−i−i−i5−i5i5i50000000000000-4-4-4-4411110-1-1−5−55500000000000004i4i4i4i−4i−i−i−i−i0iii5i5−i5−i50000000000000
χ1094444-4-1-1-1-1011−5−5550000000000000−4i−4i−4i−4i4iiiii0−i−ii5i5−i5−i50000000000000-4-4-4-4411110-1-155−5−500000000000004i4i4i4i−4i−i−i−i−i0ii−i5−i5i5i50000000000000
χ1104-4-4404-4-4400000000000000000000−4i4i4i−4i0−4i4i4i−4i00000000000000000000-444-40-444-4000000000000000000004i−4i−4i4i04i−4i−4i4i00000000000000000000
χ1114-4-440-111-105−5−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ360000000000000−4i4i4i−4i0i−i−ii0−i5i5−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ380000000000000-444-401-1-110−55ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ3600000000000004i−4i−4i4i0−iii−i0i5−i5ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ380000000000000
χ1124-4-440-111-105−5ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ360000000000000−4i4i4i−4i0i−i−ii0−i5i5ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ380000000000000-444-401-1-110−55−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ3600000000000004i−4i−4i4i0−iii−i0i5−i5−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ380000000000000
χ1134-4-440-111-10−55−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ360000000000000−4i4i4i−4i0i−i−ii0i5−i5−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ380000000000000-444-401-1-1105−5ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ3600000000000004i−4i−4i4i0−iii−i0−i5i5ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ380000000000000
χ1144-4-440-111-10−55ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ360000000000000−4i4i4i−4i0i−i−ii0i5−i5ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ380000000000000-444-401-1-1105−5−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ3600000000000004i−4i−4i4i0−iii−i0−i5i5−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ380000000000000
χ11588-8-80-2-22200000000000000000000−8i−8i8i8i02i2i−2i−2i00000000000000000000-8-888022-2-2000000000000000000008i8i−8i−8i0−2i−2i2i2i00000000000000000000
χ1168-88-80-22-2200000000000000000000−8i8i−8i8i02i−2i2i−2i00000000000000000000-88-8802-22-2000000000000000000008i−8i8i−8i0−2i2i−2i2i00000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.