Finite Group Databasebeta

← Group #10714525

Character table — Group #10714525

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222222222222222222244444444444444444444444444444444448888888888888888888888884848484848484848
order124422234446668888121212122424242424242424668812121616161616161616242424244848484848484848484848484848484824668812121616161624242424484848484848484824448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-111
χ922222222222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-22200000000-2-2-2-200000000000000002222-2-2220000-2-2-2-20000000000000000
χ1022222222222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-22200000000-2-2-2-20000000000000000-2-2-2-222-2-2000022220000000000000000
χ112222222-1222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ122222222-1222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-211-2-2-2-211111111111100000000
χ132222222-1222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-2-2-2-2-2-2-2-2-1-1-1-1111111111111111122-1-122-1-1-2-2-2-2-1-1-1-11111111100000000
χ142222222-1222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-2-2-2-2-2-2-2-2-1-1-1-11111111111111111-2-211-2-21122221111-1-1-1-1-1-1-1-100000000
χ152222222-1222-1-1-1-2-2-2-2-1-1-1-111111111-1-1-2-2-1-100000000111133333333−3−3−3−3−3−3−3−322-1-1-2-2-1-1000011113333−3−3−3−300000000
χ162222222-1222-1-1-1-2-2-2-2-1-1-1-111111111-1-1-2-2-1-100000000111133333333−3−3−3−3−3−3−3−3-2-21122110000-1-1-1-1−3−3−3−3333300000000
χ172222222-1222-1-1-1-2-2-2-2-1-1-1-111111111-1-1-2-2-1-1000000001111−3−3−3−3−3−3−3−33333333322-1-1-2-2-1-100001111−3−3−3−3333300000000
χ182222222-1222-1-1-1-2-2-2-2-1-1-1-111111111-1-1-2-2-1-1000000001111−3−3−3−3−3−3−3−333333333-2-21122110000-1-1-1-13333−3−3−3−300000000
χ1922222-2-22-22-22222222222222222222-2-2-2-2-2-200000000-2-2-2-200000000000000000000000022-2-2000022-2-222-2-200000000
χ2022222-2-22-22-22222222222222222222-2-2-2-2-2-200000000-2-2-2-2000000000000000000000000-2-2220000-2-222-2-22200000000
χ2122222-2-22-22-2222-2-2-2-22222-2-2-2-2-2-2-2-2-2-222-2-22i2i2i2i−2i−2i−2i−2i22222i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000
χ2222222-2-22-22-2222-2-2-2-22222-2-2-2-2-2-2-2-2-2-222-2-2−2i−2i−2i−2i2i2i2i2i2222−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000
χ2322222-2-2-1-22-2-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-111-2-211000000001111−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i300−i3i300−i3i322-2-2−i3−i3i3i3-1-111-1-11100000000
χ2422222-2-2-1-22-2-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-111-2-211000000001111−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i300i3−i300i3−i3-2-222i3i3−i3−i311-1-111-1-100000000
χ2522222-2-2-1-22-2-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-111-2-211000000001111i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i300−i3i300−i3i3-2-222−i3−i3i3i311-1-111-1-100000000
χ2622222-2-2-1-22-2-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-111-2-211000000001111i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i300i3−i300i3−i322-2-2i3i3−i3−i3-1-111-1-11100000000
χ2722222-2-2-1-22-2-1-1-1-2-2-2-2-1-1-1-1111111111122112i2i2i2i−2i−2i−2i−2i-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii00−i3i300−i3i30000i3i3−i3−i333−3−3−3−33300000000
χ2822222-2-2-1-22-2-1-1-1-2-2-2-2-1-1-1-1111111111122112i2i2i2i−2i−2i−2i−2i-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii00i3−i300i3−i30000−i3−i3i3i3−3−33333−3−300000000
χ2922222-2-2-1-22-2-1-1-1-2-2-2-2-1-1-1-111111111112211−2i−2i−2i−2i2i2i2i2i-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i00−i3i300−i3i30000i3i3−i3−i3−3−33333−3−300000000
χ3022222-2-2-1-22-2-1-1-1-2-2-2-2-1-1-1-111111111112211−2i−2i−2i−2i2i2i2i2i-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i00i3−i300i3−i30000−i3−i3i3i333−3−3−3−33300000000
χ3122-2-22222-2-2-22220000-2-2-2-2000000002200-2-222−2−222−2−2000022−2−222−2−222−2−222−2−200002i−2i00−i2i2−i2i22i−2i2i−2i−i2i2−i2i2−i2i2−i2i200000000
χ3222-2-22222-2-2-22220000-2-2-2-2000000002200-2-222−2−222−2−2000022−2−222−2−222−2−222−2−20000−2i2i00i2−i2i2−i2−2i2i−2i2ii2−i2i2−i2i2−i2i2−i200000000
χ3322-2-22222-2-2-22220000-2-2-2-2000000002200-2-2−2−222−2−2220000−2−222−2−222−2−222−2−22200002i−2i00i2−i2i2−i22i−2i2i−2ii2−i2i2−i2i2−i2i2−i200000000
χ3422-2-22222-2-2-22220000-2-2-2-2000000002200-2-2−2−222−2−2220000−2−222−2−222−2−222−2−2220000−2i2i00−i2i2−i2i2−2i2i−2i2i−i2i2−i2i2−i2i2−i2i200000000
χ3522-2-2222-1-2-2-2-1-1-1000011113333−3−3−3−3-1-1001122−2−222−2−233−3−3ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ4600−i3i32i−2ii3−i3−i2i2−i2i2−ii−iiζ10+ζ14−ζ10−ζ14ζ10+ζ14−ζ10−ζ14ζ26+ζ46−ζ26−ζ46ζ26+ζ46−ζ26−ζ4600000000
χ3622-2-2222-1-2-2-2-1-1-1000011113333−3−3−3−3-1-1001122−2−222−2−233−3−3ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ4600i3−i3−2i2i−i3i3i2−i2i2−i2i−ii−i−ζ10−ζ14ζ10+ζ14−ζ10−ζ14ζ10+ζ14−ζ26−ζ46ζ26+ζ46−ζ26−ζ46ζ26+ζ4600000000
χ3722-2-2222-1-2-2-2-1-1-1000011113333−3−3−3−3-1-10011−2−222−2−22233−3−3−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ4600−i3i32i−2ii3−i3i2−i2i2−i2−ii−ii−ζ10−ζ14ζ10+ζ14−ζ10−ζ14ζ10+ζ14−ζ26−ζ46ζ26+ζ46−ζ26−ζ46ζ26+ζ4600000000
χ3822-2-2222-1-2-2-2-1-1-1000011113333−3−3−3−3-1-10011−2−222−2−22233−3−3−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ4600i3−i3−2i2i−i3i3−i2i2−i2i2i−ii−iζ10+ζ14−ζ10−ζ14ζ10+ζ14−ζ10−ζ14ζ26+ζ46−ζ26−ζ46ζ26+ζ46−ζ26−ζ4600000000
χ3922-2-2222-1-2-2-2-1-1-100001111−3−3−3−33333-1-1001122−2−222−2−2−3−333ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ1400−i3i3−2i2ii3−i3i2−i2i2−i2i−ii−i−ζ26−ζ46ζ26+ζ46−ζ26−ζ46ζ26+ζ46−ζ10−ζ14ζ10+ζ14−ζ10−ζ14ζ10+ζ1400000000
χ4022-2-2222-1-2-2-2-1-1-100001111−3−3−3−33333-1-1001122−2−222−2−2−3−333ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ1400i3−i32i−2i−i3i3−i2i2−i2i2−ii−iiζ26+ζ46−ζ26−ζ46ζ26+ζ46−ζ26−ζ46ζ10+ζ14−ζ10−ζ14ζ10+ζ14−ζ10−ζ1400000000
χ4122-2-2222-1-2-2-2-1-1-100001111−3−3−3−33333-1-10011−2−222−2−222−3−333−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ1400−i3i3−2i2ii3−i3−i2i2−i2i2i−ii−iζ26+ζ46−ζ26−ζ46ζ26+ζ46−ζ26−ζ46ζ10+ζ14−ζ10−ζ14ζ10+ζ14−ζ10−ζ1400000000
χ4222-2-2222-1-2-2-2-1-1-100001111−3−3−3−33333-1-10011−2−222−2−222−3−333−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ1400i3−i32i−2i−i3i3i2−i2i2−i2−ii−ii−ζ26−ζ46ζ26+ζ46−ζ26−ζ46ζ26+ζ46−ζ10−ζ14ζ10+ζ14−ζ10−ζ14ζ10+ζ1400000000
χ4322-2-22-2-222-222220000-2-2-2-200000000-2-20022−i2−i2i2i2i2i2−i2−i20000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i22-22200-2-2i2−i2−i2i20000i2−i2−i2i2i2−i2−i2i200000000
χ4422-2-22-2-222-222220000-2-2-2-200000000-2-20022−i2−i2i2i2i2i2−i2−i20000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2-22-2-20022−i2i2i2−i20000−i2i2i2−i2−i2i2i2−i200000000
χ4522-2-22-2-222-222220000-2-2-2-200000000-2-20022i2i2−i2−i2−i2−i2i2i20000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i22-22200-2-2−i2i2i2−i20000−i2i2i2−i2−i2i2i2−i200000000
χ4622-2-22-2-222-222220000-2-2-2-200000000-2-20022i2i2−i2−i2−i2−i2i2i20000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2-22-2-20022i2−i2−i2i20000i2−i2−i2i2i2−i2−i2i200000000
χ4722-2-22-2-2-12-22-1-1-1000011113333−3−3−3−31100-1-1−i2−i2i2i2i2i2−i2−i2−3−333ζ10+ζ14ζ10+ζ14−ζ10−ζ14−ζ10−ζ14−ζ10−ζ14−ζ10−ζ14ζ10+ζ14ζ10+ζ14ζ26+ζ46ζ26+ζ46−ζ26−ζ46−ζ26−ζ46−ζ26−ζ46−ζ26−ζ46ζ26+ζ46ζ26+ζ462-2-1-10011i2−i2−i2i23−3−33−ζ10−ζ14ζ10+ζ14ζ10+ζ14−ζ10−ζ14−ζ26−ζ46ζ26+ζ46ζ26+ζ46−ζ26−ζ4600000000
χ4822-2-22-2-2-12-22-1-1-1000011113333−3−3−3−31100-1-1−i2−i2i2i2i2i2−i2−i2−3−333ζ10+ζ14ζ10+ζ14−ζ10−ζ14−ζ10−ζ14−ζ10−ζ14−ζ10−ζ14ζ10+ζ14ζ10+ζ14ζ26+ζ46ζ26+ζ46−ζ26−ζ46−ζ26−ζ46−ζ26−ζ46−ζ26−ζ46ζ26+ζ46ζ26+ζ46-221100-1-1−i2i2i2−i2−333−3ζ10+ζ14−ζ10−ζ14−ζ10−ζ14ζ10+ζ14ζ26+ζ46−ζ26−ζ46−ζ26−ζ46ζ26+ζ4600000000
χ4922-2-22-2-2-12-22-1-1-1000011113333−3−3−3−31100-1-1i2i2−i2−i2−i2−i2i2i2−3−333−ζ10−ζ14−ζ10−ζ14ζ10+ζ14ζ10+ζ14ζ10+ζ14ζ10+ζ14−ζ10−ζ14−ζ10−ζ14−ζ26−ζ46−ζ26−ζ46ζ26+ζ46ζ26+ζ46ζ26+ζ46ζ26+ζ46−ζ26−ζ46−ζ26−ζ462-2-1-10011−i2i2i2−i23−3−33ζ10+ζ14−ζ10−ζ14−ζ10−ζ14ζ10+ζ14ζ26+ζ46−ζ26−ζ46−ζ26−ζ46ζ26+ζ4600000000
χ5022-2-22-2-2-12-22-1-1-1000011113333−3−3−3−31100-1-1i2i2−i2−i2−i2−i2i2i2−3−333−ζ10−ζ14−ζ10−ζ14ζ10+ζ14ζ10+ζ14ζ10+ζ14ζ10+ζ14−ζ10−ζ14−ζ10−ζ14−ζ26−ζ46−ζ26−ζ46ζ26+ζ46ζ26+ζ46ζ26+ζ46ζ26+ζ46−ζ26−ζ46−ζ26−ζ46-221100-1-1i2−i2−i2i2−333−3−ζ10−ζ14ζ10+ζ14ζ10+ζ14−ζ10−ζ14−ζ26−ζ46ζ26+ζ46ζ26+ζ46−ζ26−ζ4600000000
χ5122-2-22-2-2-12-22-1-1-100001111−3−3−3−333331100-1-1−i2−i2i2i2i2i2−i2−i233−3−3ζ26+ζ46ζ26+ζ46−ζ26−ζ46−ζ26−ζ46−ζ26−ζ46−ζ26−ζ46ζ26+ζ46ζ26+ζ46ζ10+ζ14ζ10+ζ14−ζ10−ζ14−ζ10−ζ14−ζ10−ζ14−ζ10−ζ14ζ10+ζ14ζ10+ζ142-2-1-10011i2−i2−i2i2−333−3−ζ26−ζ46ζ26+ζ46ζ26+ζ46−ζ26−ζ46−ζ10−ζ14ζ10+ζ14ζ10+ζ14−ζ10−ζ1400000000
χ5222-2-22-2-2-12-22-1-1-100001111−3−3−3−333331100-1-1−i2−i2i2i2i2i2−i2−i233−3−3ζ26+ζ46ζ26+ζ46−ζ26−ζ46−ζ26−ζ46−ζ26−ζ46−ζ26−ζ46ζ26+ζ46ζ26+ζ46ζ10+ζ14ζ10+ζ14−ζ10−ζ14−ζ10−ζ14−ζ10−ζ14−ζ10−ζ14ζ10+ζ14ζ10+ζ14-221100-1-1−i2i2i2−i23−3−33ζ26+ζ46−ζ26−ζ46−ζ26−ζ46ζ26+ζ46ζ10+ζ14−ζ10−ζ14−ζ10−ζ14ζ10+ζ1400000000
χ5322-2-22-2-2-12-22-1-1-100001111−3−3−3−333331100-1-1i2i2−i2−i2−i2−i2i2i233−3−3−ζ26−ζ46−ζ26−ζ46ζ26+ζ46ζ26+ζ46ζ26+ζ46ζ26+ζ46−ζ26−ζ46−ζ26−ζ46−ζ10−ζ14−ζ10−ζ14ζ10+ζ14ζ10+ζ14ζ10+ζ14ζ10+ζ14−ζ10−ζ14−ζ10−ζ142-2-1-10011−i2i2i2−i2−333−3ζ26+ζ46−ζ26−ζ46−ζ26−ζ46ζ26+ζ46ζ10+ζ14−ζ10−ζ14−ζ10−ζ14ζ10+ζ1400000000
χ5422-2-22-2-2-12-22-1-1-100001111−3−3−3−333331100-1-1i2i2−i2−i2−i2−i2i2i233−3−3−ζ26−ζ46−ζ26−ζ46ζ26+ζ46ζ26+ζ46ζ26+ζ46ζ26+ζ46−ζ26−ζ46−ζ26−ζ46−ζ10−ζ14−ζ10−ζ14ζ10+ζ14ζ10+ζ14ζ10+ζ14ζ10+ζ14−ζ10−ζ14−ζ10−ζ14-221100-1-1i2−i2−i2i23−3−33−ζ26−ζ46ζ26+ζ46ζ26+ζ46−ζ26−ζ46−ζ10−ζ14ζ10+ζ14ζ10+ζ14−ζ10−ζ1400000000
χ5522-2-2-22-2222-2-2-2222-2-2-2-22222-2-222-2-22-22-22-2000000002-22-2000000000000000000000000000000000000000000002i−2i00
χ5622-2-2-22-2222-2-2-2222-2-2-2-22222-2-222-2-22-22-22-2000000002-22-200000000000000000000000000000000000000000000−2i2i00
χ5722-2-2-22-2222-2-2-22-2-222-2-222-2-222-2-2222-2-222-200000000-22-220000000000000000000000000000000000000000002i−2i0000
χ5822-2-2-22-2222-2-2-22-2-222-2-222-2-222-2-2222-2-222-200000000-22-22000000000000000000000000000000000000000000−2i2i0000
χ5922-2-2-2-222-222-2-2222-2-2-2-22222-2-222-2-2-22-22-2200000000-22-2200000000000000000000000000000000000000002-2000000
χ6022-2-2-2-222-222-2-2222-2-2-2-22222-2-222-2-2-22-22-2200000000-22-220000000000000000000000000000000000000000-22000000
χ6122-2-2-2-222-222-2-22-2-222-2-222-2-222-2-222-222-2-22000000002-22-200000000000000000000000000000000000000000000002-2
χ6222-2-2-2-222-222-2-22-2-222-2-222-2-222-2-222-222-2-22000000002-22-20000000000000000000000000000000000000000000000-22
χ634444-44-44-4-44-4-44000044-4-4000000004-400-44000000000000000000000000000000000000000000000000000000000000
χ644444-44-4-2-4-4422-20000-2-2222323−23−23−23−232323-22002-20000000023−23−2323000000000000000000000000000000000000000000000000
χ654444-44-4-2-4-4422-20000-2-222−23−2323232323−23−23-22002-200000000−232323−23000000000000000000000000000000000000000000000000
χ664444-4-4444-4-4-4-44000044-4-400000000-44004-4000000000000000000000000000000000000000000000000000000000000
χ674444-4-44-24-4-422-20000-2-2222323−23−23−23−2323232-200-2200000000−232323−23000000000000000000000000000000000000000000000000
χ684444-4-44-24-4-422-20000-2-222−23−2323232323−23−232-200-220000000023−23−2323000000000000000000000000000000000000000000000000
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χ744-44i−4i000400000-422−22−2i22i24i−4i0022−22−2i22i222−22−2i22i2000000−2ζ11−2ζ432ζ11+2ζ432ζ31+2ζ47−2ζ31−2ζ472ζ13+2ζ29−2ζ13−2ζ292ζ25+2ζ41−2ζ25−2ζ410000−2ζ11−2ζ432ζ11+2ζ432ζ31+2ζ47−2ζ31−2ζ472ζ13+2ζ29−2ζ13−2ζ292ζ25+2ζ41−2ζ25−2ζ41−2ζ11−2ζ432ζ11+2ζ432ζ31+2ζ47−2ζ31−2ζ472ζ13+2ζ29−2ζ13−2ζ292ζ25+2ζ41−2ζ25−2ζ4100000000000000000000000000000000
χ754-44i−4i000400000-4−22222i2−2i24i−4i00−22222i2−2i2−22222i2−2i2000000−2ζ31−2ζ472ζ31+2ζ47−2ζ11−2ζ432ζ11+2ζ432ζ25+2ζ41−2ζ25−2ζ41−2ζ13−2ζ292ζ13+2ζ290000−2ζ31−2ζ472ζ31+2ζ47−2ζ11−2ζ432ζ11+2ζ432ζ25+2ζ41−2ζ25−2ζ41−2ζ13−2ζ292ζ13+2ζ29−2ζ31−2ζ472ζ31+2ζ47−2ζ11−2ζ432ζ11+2ζ432ζ25+2ζ41−2ζ25−2ζ41−2ζ13−2ζ292ζ13+2ζ2900000000000000000000000000000000
χ764-44i−4i000400000-4−22222i2−2i24i−4i00−22222i2−2i2−22222i2−2i20000002ζ31+2ζ47−2ζ31−2ζ472ζ11+2ζ43−2ζ11−2ζ43−2ζ25−2ζ412ζ25+2ζ412ζ13+2ζ29−2ζ13−2ζ2900002ζ31+2ζ47−2ζ31−2ζ472ζ11+2ζ43−2ζ11−2ζ43−2ζ25−2ζ412ζ25+2ζ412ζ13+2ζ29−2ζ13−2ζ292ζ31+2ζ47−2ζ31−2ζ472ζ11+2ζ43−2ζ11−2ζ43−2ζ25−2ζ412ζ25+2ζ412ζ13+2ζ29−2ζ13−2ζ2900000000000000000000000000000000
χ774-44i−4i000-2000−2i32i3222−22−2i22i2−2i2i23−232ζ10−2ζ14−2ζ10+2ζ142ζ10+2ζ14−2ζ10−2ζ142ζ26−2ζ46−2ζ26+2ζ462ζ26+2ζ46−2ζ26−2ζ460000002ζ11+2ζ43−2ζ11−2ζ43−2ζ31−2ζ472ζ31+2ζ47−2ζ13−2ζ292ζ13+2ζ29−2ζ25−2ζ412ζ25+2ζ410000−2ζ112ζ112ζ47−2ζ472ζ13−2ζ132ζ25−2ζ25−2ζ432ζ432ζ31−2ζ312ζ29−2ζ292ζ41−2ζ4100000000000000000000000000000000
χ784-44i−4i000-2000−2i32i3222−22−2i22i2−2i2i23−232ζ10−2ζ14−2ζ10+2ζ142ζ10+2ζ14−2ζ10−2ζ142ζ26−2ζ46−2ζ26+2ζ462ζ26+2ζ46−2ζ26−2ζ46000000−2ζ11−2ζ432ζ11+2ζ432ζ31+2ζ47−2ζ31−2ζ472ζ13+2ζ29−2ζ13−2ζ292ζ25+2ζ41−2ζ25−2ζ4100002ζ11−2ζ11−2ζ472ζ47−2ζ132ζ13−2ζ252ζ252ζ43−2ζ43−2ζ312ζ31−2ζ292ζ29−2ζ412ζ4100000000000000000000000000000000
χ794-44i−4i000-2000−2i32i32−22222i2−2i2−2i2i23−23−2ζ10+2ζ142ζ10−2ζ14−2ζ10−2ζ142ζ10+2ζ14−2ζ26+2ζ462ζ26−2ζ46−2ζ26−2ζ462ζ26+2ζ46000000−2ζ31−2ζ472ζ31+2ζ47−2ζ11−2ζ432ζ11+2ζ432ζ25+2ζ41−2ζ25−2ζ41−2ζ13−2ζ292ζ13+2ζ2900002ζ47−2ζ472ζ11−2ζ11−2ζ252ζ252ζ13−2ζ132ζ31−2ζ312ζ43−2ζ43−2ζ412ζ412ζ29−2ζ2900000000000000000000000000000000
χ804-44i−4i000-2000−2i32i32−22222i2−2i2−2i2i23−23−2ζ10+2ζ142ζ10−2ζ14−2ζ10−2ζ142ζ10+2ζ14−2ζ26+2ζ462ζ26−2ζ46−2ζ26−2ζ462ζ26+2ζ460000002ζ31+2ζ47−2ζ31−2ζ472ζ11+2ζ43−2ζ11−2ζ43−2ζ25−2ζ412ζ25+2ζ412ζ13+2ζ29−2ζ13−2ζ290000−2ζ472ζ47−2ζ112ζ112ζ25−2ζ25−2ζ132ζ13−2ζ312ζ31−2ζ432ζ432ζ41−2ζ41−2ζ292ζ2900000000000000000000000000000000
χ814-44i−4i000-20002i3−2i3222−22−2i22i2−2i2i−23232ζ26−2ζ46−2ζ26+2ζ462ζ26+2ζ46−2ζ26−2ζ462ζ10−2ζ14−2ζ10+2ζ142ζ10+2ζ14−2ζ10−2ζ140000002ζ11+2ζ43−2ζ11−2ζ43−2ζ31−2ζ472ζ31+2ζ47−2ζ13−2ζ292ζ13+2ζ29−2ζ25−2ζ412ζ25+2ζ410000−2ζ432ζ432ζ31−2ζ312ζ29−2ζ292ζ41−2ζ41−2ζ112ζ112ζ47−2ζ472ζ13−2ζ132ζ25−2ζ2500000000000000000000000000000000
χ824-44i−4i000-20002i3−2i3222−22−2i22i2−2i2i−23232ζ26−2ζ46−2ζ26+2ζ462ζ26+2ζ46−2ζ26−2ζ462ζ10−2ζ14−2ζ10+2ζ142ζ10+2ζ14−2ζ10−2ζ14000000−2ζ11−2ζ432ζ11+2ζ432ζ31+2ζ47−2ζ31−2ζ472ζ13+2ζ29−2ζ13−2ζ292ζ25+2ζ41−2ζ25−2ζ4100002ζ43−2ζ43−2ζ312ζ31−2ζ292ζ29−2ζ412ζ412ζ11−2ζ11−2ζ472ζ47−2ζ132ζ13−2ζ252ζ2500000000000000000000000000000000
χ834-44i−4i000-20002i3−2i32−22222i2−2i2−2i2i−2323−2ζ26+2ζ462ζ26−2ζ46−2ζ26−2ζ462ζ26+2ζ46−2ζ10+2ζ142ζ10−2ζ14−2ζ10−2ζ142ζ10+2ζ14000000−2ζ31−2ζ472ζ31+2ζ47−2ζ11−2ζ432ζ11+2ζ432ζ25+2ζ41−2ζ25−2ζ41−2ζ13−2ζ292ζ13+2ζ2900002ζ31−2ζ312ζ43−2ζ43−2ζ412ζ412ζ29−2ζ292ζ47−2ζ472ζ11−2ζ11−2ζ252ζ252ζ13−2ζ1300000000000000000000000000000000
χ844-44i−4i000-20002i3−2i32−22222i2−2i2−2i2i−2323−2ζ26+2ζ462ζ26−2ζ46−2ζ26−2ζ462ζ26+2ζ46−2ζ10+2ζ142ζ10−2ζ14−2ζ10−2ζ142ζ10+2ζ140000002ζ31+2ζ47−2ζ31−2ζ472ζ11+2ζ43−2ζ11−2ζ43−2ζ25−2ζ412ζ25+2ζ412ζ13+2ζ29−2ζ13−2ζ290000−2ζ312ζ31−2ζ432ζ432ζ41−2ζ41−2ζ292ζ29−2ζ472ζ47−2ζ112ζ112ζ25−2ζ25−2ζ132ζ1300000000000000000000000000000000
χ854-4−4i4i000400000-422−222i2−2i2−4i4i0022−222i2−2i222−222i2−2i2000000−2ζ13−2ζ292ζ13+2ζ292ζ25+2ζ41−2ζ25−2ζ412ζ11+2ζ43−2ζ11−2ζ432ζ31+2ζ47−2ζ31−2ζ470000−2ζ13−2ζ292ζ13+2ζ292ζ25+2ζ41−2ζ25−2ζ412ζ11+2ζ43−2ζ11−2ζ432ζ31+2ζ47−2ζ31−2ζ47−2ζ13−2ζ292ζ13+2ζ292ζ25+2ζ41−2ζ25−2ζ412ζ11+2ζ43−2ζ11−2ζ432ζ31+2ζ47−2ζ31−2ζ4700000000000000000000000000000000
χ864-4−4i4i000400000-422−222i2−2i2−4i4i0022−222i2−2i222−222i2−2i20000002ζ13+2ζ29−2ζ13−2ζ29−2ζ25−2ζ412ζ25+2ζ41−2ζ11−2ζ432ζ11+2ζ43−2ζ31−2ζ472ζ31+2ζ4700002ζ13+2ζ29−2ζ13−2ζ29−2ζ25−2ζ412ζ25+2ζ41−2ζ11−2ζ432ζ11+2ζ43−2ζ31−2ζ472ζ31+2ζ472ζ13+2ζ29−2ζ13−2ζ29−2ζ25−2ζ412ζ25+2ζ41−2ζ11−2ζ432ζ11+2ζ43−2ζ31−2ζ472ζ31+2ζ4700000000000000000000000000000000
χ874-4−4i4i000400000-4−2222−2i22i2−4i4i00−2222−2i22i2−2222−2i22i2000000−2ζ25−2ζ412ζ25+2ζ41−2ζ13−2ζ292ζ13+2ζ292ζ31+2ζ47−2ζ31−2ζ47−2ζ11−2ζ432ζ11+2ζ430000−2ζ25−2ζ412ζ25+2ζ41−2ζ13−2ζ292ζ13+2ζ292ζ31+2ζ47−2ζ31−2ζ47−2ζ11−2ζ432ζ11+2ζ43−2ζ25−2ζ412ζ25+2ζ41−2ζ13−2ζ292ζ13+2ζ292ζ31+2ζ47−2ζ31−2ζ47−2ζ11−2ζ432ζ11+2ζ4300000000000000000000000000000000
χ884-4−4i4i000400000-4−2222−2i22i2−4i4i00−2222−2i22i2−2222−2i22i20000002ζ25+2ζ41−2ζ25−2ζ412ζ13+2ζ29−2ζ13−2ζ29−2ζ31−2ζ472ζ31+2ζ472ζ11+2ζ43−2ζ11−2ζ4300002ζ25+2ζ41−2ζ25−2ζ412ζ13+2ζ29−2ζ13−2ζ29−2ζ31−2ζ472ζ31+2ζ472ζ11+2ζ43−2ζ11−2ζ432ζ25+2ζ41−2ζ25−2ζ412ζ13+2ζ29−2ζ13−2ζ29−2ζ31−2ζ472ζ31+2ζ472ζ11+2ζ43−2ζ11−2ζ4300000000000000000000000000000000
χ894-4−4i4i000-2000−2i32i3222−222i2−2i22i−2i−23232ζ26−2ζ46−2ζ26+2ζ46−2ζ26−2ζ462ζ26+2ζ462ζ10−2ζ14−2ζ10+2ζ14−2ζ10−2ζ142ζ10+2ζ14000000−2ζ13−2ζ292ζ13+2ζ292ζ25+2ζ41−2ζ25−2ζ412ζ11+2ζ43−2ζ11−2ζ432ζ31+2ζ47−2ζ31−2ζ4700002ζ29−2ζ29−2ζ412ζ41−2ζ432ζ43−2ζ312ζ312ζ13−2ζ13−2ζ252ζ25−2ζ112ζ11−2ζ472ζ4700000000000000000000000000000000
χ904-4−4i4i000-2000−2i32i3222−222i2−2i22i−2i−23232ζ26−2ζ46−2ζ26+2ζ46−2ζ26−2ζ462ζ26+2ζ462ζ10−2ζ14−2ζ10+2ζ14−2ζ10−2ζ142ζ10+2ζ140000002ζ13+2ζ29−2ζ13−2ζ29−2ζ25−2ζ412ζ25+2ζ41−2ζ11−2ζ432ζ11+2ζ43−2ζ31−2ζ472ζ31+2ζ470000−2ζ292ζ292ζ41−2ζ412ζ43−2ζ432ζ31−2ζ31−2ζ132ζ132ζ25−2ζ252ζ11−2ζ112ζ47−2ζ4700000000000000000000000000000000
χ914-4−4i4i000-2000−2i32i32−2222−2i22i22i−2i−2323−2ζ26+2ζ462ζ26−2ζ462ζ26+2ζ46−2ζ26−2ζ46−2ζ10+2ζ142ζ10−2ζ142ζ10+2ζ14−2ζ10−2ζ14000000−2ζ25−2ζ412ζ25+2ζ41−2ζ13−2ζ292ζ13+2ζ292ζ31+2ζ47−2ζ31−2ζ47−2ζ11−2ζ432ζ11+2ζ4300002ζ41−2ζ412ζ29−2ζ29−2ζ312ζ312ζ43−2ζ432ζ25−2ζ252ζ13−2ζ13−2ζ472ζ472ζ11−2ζ1100000000000000000000000000000000
χ924-4−4i4i000-2000−2i32i32−2222−2i22i22i−2i−2323−2ζ26+2ζ462ζ26−2ζ462ζ26+2ζ46−2ζ26−2ζ46−2ζ10+2ζ142ζ10−2ζ142ζ10+2ζ14−2ζ10−2ζ140000002ζ25+2ζ41−2ζ25−2ζ412ζ13+2ζ29−2ζ13−2ζ29−2ζ31−2ζ472ζ31+2ζ472ζ11+2ζ43−2ζ11−2ζ430000−2ζ412ζ41−2ζ292ζ292ζ31−2ζ31−2ζ432ζ43−2ζ252ζ25−2ζ132ζ132ζ47−2ζ47−2ζ112ζ1100000000000000000000000000000000
χ934-4−4i4i000-20002i3−2i3222−222i2−2i22i−2i23−232ζ10−2ζ14−2ζ10+2ζ14−2ζ10−2ζ142ζ10+2ζ142ζ26−2ζ46−2ζ26+2ζ46−2ζ26−2ζ462ζ26+2ζ46000000−2ζ13−2ζ292ζ13+2ζ292ζ25+2ζ41−2ζ25−2ζ412ζ11+2ζ43−2ζ11−2ζ432ζ31+2ζ47−2ζ31−2ζ4700002ζ13−2ζ13−2ζ252ζ25−2ζ112ζ11−2ζ472ζ472ζ29−2ζ29−2ζ412ζ41−2ζ432ζ43−2ζ312ζ3100000000000000000000000000000000
χ944-4−4i4i000-20002i3−2i3222−222i2−2i22i−2i23−232ζ10−2ζ14−2ζ10+2ζ14−2ζ10−2ζ142ζ10+2ζ142ζ26−2ζ46−2ζ26+2ζ46−2ζ26−2ζ462ζ26+2ζ460000002ζ13+2ζ29−2ζ13−2ζ29−2ζ25−2ζ412ζ25+2ζ41−2ζ11−2ζ432ζ11+2ζ43−2ζ31−2ζ472ζ31+2ζ470000−2ζ132ζ132ζ25−2ζ252ζ11−2ζ112ζ47−2ζ47−2ζ292ζ292ζ41−2ζ412ζ43−2ζ432ζ31−2ζ3100000000000000000000000000000000
χ954-4−4i4i000-20002i3−2i32−2222−2i22i22i−2i23−23−2ζ10+2ζ142ζ10−2ζ142ζ10+2ζ14−2ζ10−2ζ14−2ζ26+2ζ462ζ26−2ζ462ζ26+2ζ46−2ζ26−2ζ46000000−2ζ25−2ζ412ζ25+2ζ41−2ζ13−2ζ292ζ13+2ζ292ζ31+2ζ47−2ζ31−2ζ47−2ζ11−2ζ432ζ11+2ζ4300002ζ25−2ζ252ζ13−2ζ13−2ζ472ζ472ζ11−2ζ112ζ41−2ζ412ζ29−2ζ29−2ζ312ζ312ζ43−2ζ4300000000000000000000000000000000
χ964-4−4i4i000-20002i3−2i32−2222−2i22i22i−2i23−23−2ζ10+2ζ142ζ10−2ζ142ζ10+2ζ14−2ζ10−2ζ14−2ζ26+2ζ462ζ26−2ζ462ζ26+2ζ46−2ζ26−2ζ460000002ζ25+2ζ41−2ζ25−2ζ412ζ13+2ζ29−2ζ13−2ζ29−2ζ31−2ζ472ζ31+2ζ472ζ11+2ζ43−2ζ11−2ζ430000−2ζ252ζ25−2ζ132ζ132ζ47−2ζ47−2ζ112ζ11−2ζ412ζ41−2ζ292ζ292ζ31−2ζ31−2ζ432ζ4300000000000000000000000000000000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.