Finite Group Databasebeta

← Group #11929138

Character table — Group #11929138

Order 1248.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size1122266661212121212121313131313131313131326262626262626262626262626262611222666612121212121213131313131313131313262626262626262626262626262626
order124441313262652525252525233446612121212222666666121212121212224442626262652525252525266446612121212222666666121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ3111111111111111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ4111111111111111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ5111111111111111−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111111−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ6111111111111111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ7111-1-1111111-1-1-1-111111111111-1-11-1-11-1-11-1-11-1-1111-1-1111111-1-1-1-111111111111-1-11-1-11-1-11-1-11-1-1
χ8111-1-1111111-1-1-1-111-1-111-1-1-1-1-111-111-1111-1-11-1-1111-1-1111111-1-1-1-111-1-111-1-1-1-1-111-111-1111-1-11-1-1
χ9111-1-1111111-1-1-1-1−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-1−1−i321+i321+i32−1+i321−i321−i32−1−i321+i321+i32−1+i321−i321−i32111-1-1111111-1-1-1-1−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-1−1−i321+i321+i32−1+i321−i321−i32−1−i321+i321+i32−1+i321−i321−i32
χ10111-1-1111111-1-1-1-1−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32-1111+i32−1−i32−1−i321−i32−1+i32−1+i32−1−i321+i321+i32−1+i321−i321−i32111-1-1111111-1-1-1-1−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32-1111+i32−1−i32−1−i321−i32−1+i32−1+i32−1−i321+i321+i32−1+i321−i321−i32
χ11111-1-1111111-1-1-1-1−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-1−1+i321−i321−i32−1−i321+i321+i32−1+i321−i321−i32−1−i321+i321+i32111-1-1111111-1-1-1-1−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-1−1+i321−i321−i32−1−i321+i321+i32−1+i321−i321−i32−1−i321+i321+i32
χ12111-1-1111111-1-1-1-1−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32-1111−i32−1+i32−1+i321+i32−1−i32−1−i32−1+i321−i321−i32−1−i321+i321+i32111-1-1111111-1-1-1-1−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32-1111−i32−1+i32−1+i321+i32−1−i32−1−i32−1+i321−i321−i32−1−i321+i321+i32
χ1311-11-11111-1-111-1-11111111111-11-1-11-1-11-1-11-1-11-111-11-11111-1-111-1-11111111111-11-1-11-1-11-1-11-1-11-1
χ1411-11-11111-1-111-1-111-1-111-1-1-1-11-111-111-11-11-1-11-111-11-11111-1-111-1-111-1-111-1-1-1-11-111-111-11-11-1-11-1
χ1511-11-11111-1-111-1-1−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-11-11+i32−1−i321+i321−i32−1+i321−i321+i32−1−i321+i321−i32−1+i321−i3211-11-11111-1-111-1-1−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-11-11+i32−1−i321+i321−i32−1+i321−i321+i32−1−i321+i321−i32−1+i321−i32
χ1611-11-11111-1-111-1-1−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i321-11−1−i321+i32−1−i32−1+i321−i32−1+i321+i32−1−i321+i321−i32−1+i321−i3211-11-11111-1-111-1-1−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i321-11−1−i321+i32−1−i32−1+i321−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32
χ1711-11-11111-1-111-1-1−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-11-11−i32−1+i321−i321+i32−1−i321+i321−i32−1+i321−i321+i32−1−i321+i3211-11-11111-1-111-1-1−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-11-11−i32−1+i321−i321+i32−1−i321+i321−i32−1+i321−i321+i32−1−i321+i32
χ1811-11-11111-1-111-1-1−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i321-11−1+i321−i32−1+i32−1−i321+i32−1−i321−i32−1+i321−i321+i32−1−i321+i3211-11-11111-1-111-1-1−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i321-11−1+i321−i32−1+i32−1−i321+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32
χ1911-1-111111-1-1-1-1111111111111-1-11-1-11-1-11-1-11-1-1111-1-111111-1-1-1-1111111111111-1-11-1-11-1-11-1-11-1-11
χ2011-1-111111-1-1-1-11111-1-111-1-1-1-111-111-111-1-1-11-1-1111-1-111111-1-1-1-11111-1-111-1-1-1-111-111-111-1-1-11-1-11
χ2111-1-111111-1-1-1-111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111+i321+i32−1−i321−i321−i32−1+i321+i321+i32−1−i321−i321−i32−1+i3211-1-111111-1-1-1-111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111+i321+i32−1−i321−i321−i32−1+i321+i321+i32−1−i321−i321−i32−1+i32
χ2211-1-111111-1-1-1-111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i3211-1−1−i32−1−i321+i32−1+i32−1+i321−i321+i321+i32−1−i321−i321−i32−1+i3211-1-111111-1-1-1-111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i3211-1−1−i32−1−i321+i32−1+i32−1+i321−i321+i321+i32−1−i321−i321−i32−1+i32
χ2311-1-111111-1-1-1-111−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111−i321−i32−1+i321+i321+i32−1−i321−i321−i32−1+i321+i321+i32−1−i3211-1-111111-1-1-1-111−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111−i321−i32−1+i321+i321+i32−1−i321−i321−i32−1+i321+i321+i32−1−i32
χ2411-1-111111-1-1-1-111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i3211-1−1+i32−1+i321−i32−1−i32−1−i321+i321−i321−i32−1+i321+i321+i32−1−i3211-1-111111-1-1-1-111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i3211-1−1+i32−1+i321−i32−1−i32−1−i321+i321−i321−i32−1+i321+i321+i32−1−i32
χ252-200022-2-2000000222i−2i-2-22i−2i2i−2i0000000000000002-200022-2-2000000222i−2i-2-22i−2i2i−2i000000000000000
χ262-200022-2-200000022−2i2i-2-2−2i2i−2i2i0000000000000002-200022-2-200000022−2i2i-2-2−2i2i−2i2i000000000000000
χ272-200022-2-2000000−1−i3−1+i32i−2i1+i31−i3−2ζ11−2ζ23−2ζ35−2ζ47−2ζ59−2ζ71−2ζ83−2ζ95−2ζ107−2ζ119−2ζ131−2ζ1552ζ11+2ζ23+2ζ35+2ζ47+2ζ59+2ζ71+2ζ83+2ζ95+2ζ107+2ζ119+2ζ131+2ζ155−2ζ7−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ79−2ζ103−2ζ115−2ζ127−2ζ139−2ζ1512ζ7+2ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79+2ζ103+2ζ115+2ζ127+2ζ139+2ζ1510000000000000002-200022-2-2000000−1−i3−1+i32i−2i1+i31−i3−2ζ11−2ζ23−2ζ35−2ζ47−2ζ59−2ζ71−2ζ83−2ζ95−2ζ107−2ζ119−2ζ131−2ζ1552ζ11+2ζ23+2ζ35+2ζ47+2ζ59+2ζ71+2ζ83+2ζ95+2ζ107+2ζ119+2ζ131+2ζ155−2ζ7−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ79−2ζ103−2ζ115−2ζ127−2ζ139−2ζ1512ζ7+2ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79+2ζ103+2ζ115+2ζ127+2ζ139+2ζ151000000000000000
χ282-200022-2-2000000−1−i3−1+i3−2i2i1+i31−i32ζ11+2ζ23+2ζ35+2ζ47+2ζ59+2ζ71+2ζ83+2ζ95+2ζ107+2ζ119+2ζ131+2ζ155−2ζ11−2ζ23−2ζ35−2ζ47−2ζ59−2ζ71−2ζ83−2ζ95−2ζ107−2ζ119−2ζ131−2ζ1552ζ7+2ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79+2ζ103+2ζ115+2ζ127+2ζ139+2ζ151−2ζ7−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ79−2ζ103−2ζ115−2ζ127−2ζ139−2ζ1510000000000000002-200022-2-2000000−1−i3−1+i3−2i2i1+i31−i32ζ11+2ζ23+2ζ35+2ζ47+2ζ59+2ζ71+2ζ83+2ζ95+2ζ107+2ζ119+2ζ131+2ζ155−2ζ11−2ζ23−2ζ35−2ζ47−2ζ59−2ζ71−2ζ83−2ζ95−2ζ107−2ζ119−2ζ131−2ζ1552ζ7+2ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79+2ζ103+2ζ115+2ζ127+2ζ139+2ζ151−2ζ7−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ79−2ζ103−2ζ115−2ζ127−2ζ139−2ζ151000000000000000
χ292-200022-2-2000000−1+i3−1−i32i−2i1−i31+i3−2ζ7−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ79−2ζ103−2ζ115−2ζ127−2ζ139−2ζ1512ζ7+2ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79+2ζ103+2ζ115+2ζ127+2ζ139+2ζ151−2ζ11−2ζ23−2ζ35−2ζ47−2ζ59−2ζ71−2ζ83−2ζ95−2ζ107−2ζ119−2ζ131−2ζ1552ζ11+2ζ23+2ζ35+2ζ47+2ζ59+2ζ71+2ζ83+2ζ95+2ζ107+2ζ119+2ζ131+2ζ1550000000000000002-200022-2-2000000−1+i3−1−i32i−2i1−i31+i3−2ζ7−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ79−2ζ103−2ζ115−2ζ127−2ζ139−2ζ1512ζ7+2ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79+2ζ103+2ζ115+2ζ127+2ζ139+2ζ151−2ζ11−2ζ23−2ζ35−2ζ47−2ζ59−2ζ71−2ζ83−2ζ95−2ζ107−2ζ119−2ζ131−2ζ1552ζ11+2ζ23+2ζ35+2ζ47+2ζ59+2ζ71+2ζ83+2ζ95+2ζ107+2ζ119+2ζ131+2ζ155000000000000000
χ302-200022-2-2000000−1+i3−1−i3−2i2i1−i31+i32ζ7+2ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79+2ζ103+2ζ115+2ζ127+2ζ139+2ζ151−2ζ7−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ79−2ζ103−2ζ115−2ζ127−2ζ139−2ζ1512ζ11+2ζ23+2ζ35+2ζ47+2ζ59+2ζ71+2ζ83+2ζ95+2ζ107+2ζ119+2ζ131+2ζ155−2ζ11−2ζ23−2ζ35−2ζ47−2ζ59−2ζ71−2ζ83−2ζ95−2ζ107−2ζ119−2ζ131−2ζ1550000000000000002-200022-2-2000000−1+i3−1−i3−2i2i1−i31+i32ζ7+2ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79+2ζ103+2ζ115+2ζ127+2ζ139+2ζ151−2ζ7−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ79−2ζ103−2ζ115−2ζ127−2ζ139−2ζ1512ζ11+2ζ23+2ζ35+2ζ47+2ζ59+2ζ71+2ζ83+2ζ95+2ζ107+2ζ119+2ζ131+2ζ155−2ζ11−2ζ23−2ζ35−2ζ47−2ζ59−2ζ71−2ζ83−2ζ95−2ζ107−2ζ119−2ζ131−2ζ155000000000000000
χ3166666−1−132−1+132−1−132−1+132−1−132−1+132−1−132−1+132−1−132−1+132000000000000000000000000066666−1−132−1+132−1−132−1+132−1−132−1+132−1−132−1+132−1−132−1+1320000000000000000000000000
χ3266666−1+132−1−132−1+132−1−132−1+132−1−132−1+132−1−132−1+132−1−132000000000000000000000000066666−1+132−1−132−1+132−1−132−1+132−1−132−1+132−1−132−1+132−1−1320000000000000000000000000
χ33666-6-6−1−132−1+132−1−132−1+132−1−132−1+1321+1321−1321+1321−1320000000000000000000000000666-6-6−1−132−1+132−1−132−1+132−1−132−1+1321+1321−1321+1321−1320000000000000000000000000
χ34666-6-6−1+132−1−132−1+132−1−132−1+132−1−1321−1321+1321−1321+1320000000000000000000000000666-6-6−1+132−1−132−1+132−1−132−1+132−1−1321−1321+1321−1321+1320000000000000000000000000
χ3566-66-6−1−132−1+132−1−132−1+1321+1321−132−1−132−1+1321+1321−132000000000000000000000000066-66-6−1−132−1+132−1−132−1+1321+1321−132−1−132−1+1321+1321−1320000000000000000000000000
χ3666-66-6−1+132−1−132−1+132−1−1321−1321+132−1+132−1−1321−1321+132000000000000000000000000066-66-6−1+132−1−132−1+132−1−1321−1321+132−1+132−1−1321−1321+1320000000000000000000000000
χ3766-6-66−1−132−1+132−1−132−1+1321+1321−1321+1321−132−1−132−1+132000000000000000000000000066-6-66−1−132−1+132−1−132−1+1321+1321−1321+1321−132−1−132−1+1320000000000000000000000000
χ3866-6-66−1+132−1−132−1+132−1−1321−1321+1321−1321+132−1+132−1−132000000000000000000000000066-6-66−1+132−1−132−1+132−1−1321−1321+1321−1321+132−1+132−1−1320000000000000000000000000
χ3912-12000−1−13−1+131+131−13000000000000000000000000000000012-12000−1−13−1+131+131−130000000000000000000000000000000
χ4012-12000−1+13−1−131−131+13000000000000000000000000000000012-12000−1+13−1−131−131+130000000000000000000000000000000
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4211111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111-1-1-1-1-1-1
χ43111111111111111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i32-1-11+i321−i321+i321+i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i321+i321+i321+i321−i321−i321−i32
χ44111111111111111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i32111+i321−i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32
χ45111111111111111−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i32-1-11−i321+i321−i321−i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i321−i321−i321−i321+i321+i321+i32
χ46111111111111111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i32111−i321+i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i32
χ47111-1-1111111-1-1-1-111111111111-1-11-1-11-1-11-1-11-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-111-111-111-111
χ48111-1-1111111-1-1-1-111-1-111-1-1-1-1-111-111-1111-1-11-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-111111-1-11-1-11-1-1-111-111
χ49111-1-1111111-1-1-1-1−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-1−1−i321+i321+i32−1+i321−i321−i32−1−i321+i321+i32−1+i321−i321−i32-1-1-111-1-1-1-1-1-111111+i321−i32-1-11+i321−i321+i321+i321−i321−i32-1111+i32−1−i32−1−i321−i32−1+i32−1+i321+i32−1−i32−1−i321−i32−1+i32−1+i32
χ50111-1-1111111-1-1-1-1−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32-1111+i32−1−i32−1−i321−i32−1+i32−1+i32−1−i321+i321+i32−1+i321−i321−i32-1-1-111-1-1-1-1-1-111111+i321−i32111+i321−i32−1−i32−1−i32−1+i32−1+i321-1-1−1−i321+i321+i32−1+i321−i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i32
χ51111-1-1111111-1-1-1-1−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-1−1+i321−i321−i32−1−i321+i321+i32−1+i321−i321−i32−1−i321+i321+i32-1-1-111-1-1-1-1-1-111111−i321+i32-1-11−i321+i321−i321−i321+i321+i32-1111−i32−1+i32−1+i321+i32−1−i32−1−i321−i32−1+i32−1+i321+i32−1−i32−1−i32
χ52111-1-1111111-1-1-1-1−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32-1111−i32−1+i32−1+i321+i32−1−i32−1−i32−1+i321−i321−i32−1−i321+i321+i32-1-1-111-1-1-1-1-1-111111−i321+i32111−i321+i32−1+i32−1+i32−1−i32−1−i321-1-1−1+i321−i321−i32−1−i321+i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i32
χ5311-11-11111-1-111-1-11111111111-11-1-11-1-11-1-11-1-11-1-1-11-11-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11-111-111-111-111-11
χ5411-11-11111-1-111-1-111-1-111-1-1-1-11-111-111-11-11-1-11-1-1-11-11-1-1-1-111-1-111-1-111-1-11111-11-1-11-1-11-11-111-11
χ5511-11-11111-1-111-1-1−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-11-11+i32−1−i321+i321−i32−1+i321−i321+i32−1−i321+i321−i32−1+i321−i32-1-11-11-1-1-1-111-1-1111+i321−i32-1-11+i321−i321+i321+i321−i321−i321-11−1−i321+i32−1−i32−1+i321−i32−1+i32−1−i321+i32−1−i32−1+i321−i32−1+i32
χ5611-11-11111-1-111-1-1−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i321-11−1−i321+i32−1−i32−1+i321−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32-1-11-11-1-1-1-111-1-1111+i321−i32111+i321−i32−1−i32−1−i32−1+i32−1+i32-11-11+i32−1−i321+i321−i32−1+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i32
χ5711-11-11111-1-111-1-1−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-11-11−i32−1+i321−i321+i32−1−i321+i321−i32−1+i321−i321+i32−1−i321+i32-1-11-11-1-1-1-111-1-1111−i321+i32-1-11−i321+i321−i321−i321+i321+i321-11−1+i321−i32−1+i32−1−i321+i32−1−i32−1+i321−i32−1+i32−1−i321+i32−1−i32
χ5811-11-11111-1-111-1-1−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i321-11−1+i321−i32−1+i32−1−i321+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32-1-11-11-1-1-1-111-1-1111−i321+i32111−i321+i32−1+i32−1+i32−1−i32−1−i32-11-11−i32−1+i321−i321+i32−1−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i32
χ5911-1-111111-1-1-1-1111111111111-1-11-1-11-1-11-1-11-1-11-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-111-111-111-111-1
χ6011-1-111111-1-1-1-11111-1-111-1-1-1-111-111-111-1-1-11-1-11-1-111-1-1-1-1-11111-1-1-1-111-1-11111-1-11-1-11-1-1111-111-1
χ6111-1-111111-1-1-1-111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111+i321+i32−1−i321−i321−i32−1+i321+i321+i32−1−i321−i321−i32−1+i32-1-111-1-1-1-1-11111-1-11+i321−i32-1-11+i321−i321+i321+i321−i321−i3211-1−1−i32−1−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i32
χ6211-1-111111-1-1-1-111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i3211-1−1−i32−1−i321+i32−1+i32−1+i321−i321+i321+i32−1−i321−i321−i32−1+i32-1-111-1-1-1-1-11111-1-11+i321−i32111+i321−i32−1−i32−1−i32−1+i32−1+i32-1-111+i321+i32−1−i321−i321−i32−1+i32−1−i32−1−i321+i32−1+i32−1+i321−i32
χ6311-1-111111-1-1-1-111−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111−i321−i32−1+i321+i321+i32−1−i321−i321−i32−1+i321+i321+i32−1−i32-1-111-1-1-1-1-11111-1-11−i321+i32-1-11−i321+i321−i321−i321+i321+i3211-1−1+i32−1+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i32
χ6411-1-111111-1-1-1-111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i3211-1−1+i32−1+i321−i32−1−i32−1−i321+i321−i321−i32−1+i321+i321+i32−1−i32-1-111-1-1-1-1-11111-1-11−i321+i32111−i321+i32−1+i32−1+i32−1−i32−1−i32-1-111−i321−i32−1+i321+i321+i32−1−i32−1+i32−1+i321−i32−1−i32−1−i321+i32
χ652-200022-2-2000000222i−2i-2-22i−2i2i−2i000000000000000-22000-2-222000000-2-2−2i2i22−2i2i−2i2i000000000000000
χ662-200022-2-200000022−2i2i-2-2−2i2i−2i2i000000000000000-22000-2-222000000-2-22i−2i222i−2i2i−2i000000000000000
χ672-200022-2-2000000−1−i3−1+i32i−2i1+i31−i3−2ζ11−2ζ23−2ζ35−2ζ47−2ζ59−2ζ71−2ζ83−2ζ95−2ζ107−2ζ119−2ζ131−2ζ1552ζ11+2ζ23+2ζ35+2ζ47+2ζ59+2ζ71+2ζ83+2ζ95+2ζ107+2ζ119+2ζ131+2ζ155−2ζ7−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ79−2ζ103−2ζ115−2ζ127−2ζ139−2ζ1512ζ7+2ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79+2ζ103+2ζ115+2ζ127+2ζ139+2ζ151000000000000000-22000-2-2220000001+i31−i3−2i2i−1−i3−1+i32ζ11+2ζ23+2ζ35+2ζ47+2ζ59+2ζ71+2ζ83+2ζ95+2ζ107+2ζ119+2ζ131+2ζ155−2ζ11−2ζ23−2ζ35−2ζ47−2ζ59−2ζ71−2ζ83−2ζ95−2ζ107−2ζ119−2ζ131−2ζ1552ζ7+2ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79+2ζ103+2ζ115+2ζ127+2ζ139+2ζ151−2ζ7−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ79−2ζ103−2ζ115−2ζ127−2ζ139−2ζ151000000000000000
χ682-200022-2-2000000−1−i3−1+i3−2i2i1+i31−i32ζ11+2ζ23+2ζ35+2ζ47+2ζ59+2ζ71+2ζ83+2ζ95+2ζ107+2ζ119+2ζ131+2ζ155−2ζ11−2ζ23−2ζ35−2ζ47−2ζ59−2ζ71−2ζ83−2ζ95−2ζ107−2ζ119−2ζ131−2ζ1552ζ7+2ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79+2ζ103+2ζ115+2ζ127+2ζ139+2ζ151−2ζ7−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ79−2ζ103−2ζ115−2ζ127−2ζ139−2ζ151000000000000000-22000-2-2220000001+i31−i32i−2i−1−i3−1+i3−2ζ11−2ζ23−2ζ35−2ζ47−2ζ59−2ζ71−2ζ83−2ζ95−2ζ107−2ζ119−2ζ131−2ζ1552ζ11+2ζ23+2ζ35+2ζ47+2ζ59+2ζ71+2ζ83+2ζ95+2ζ107+2ζ119+2ζ131+2ζ155−2ζ7−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ79−2ζ103−2ζ115−2ζ127−2ζ139−2ζ1512ζ7+2ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79+2ζ103+2ζ115+2ζ127+2ζ139+2ζ151000000000000000
χ692-200022-2-2000000−1+i3−1−i32i−2i1−i31+i3−2ζ7−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ79−2ζ103−2ζ115−2ζ127−2ζ139−2ζ1512ζ7+2ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79+2ζ103+2ζ115+2ζ127+2ζ139+2ζ151−2ζ11−2ζ23−2ζ35−2ζ47−2ζ59−2ζ71−2ζ83−2ζ95−2ζ107−2ζ119−2ζ131−2ζ1552ζ11+2ζ23+2ζ35+2ζ47+2ζ59+2ζ71+2ζ83+2ζ95+2ζ107+2ζ119+2ζ131+2ζ155000000000000000-22000-2-2220000001−i31+i3−2i2i−1+i3−1−i32ζ7+2ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79+2ζ103+2ζ115+2ζ127+2ζ139+2ζ151−2ζ7−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ79−2ζ103−2ζ115−2ζ127−2ζ139−2ζ1512ζ11+2ζ23+2ζ35+2ζ47+2ζ59+2ζ71+2ζ83+2ζ95+2ζ107+2ζ119+2ζ131+2ζ155−2ζ11−2ζ23−2ζ35−2ζ47−2ζ59−2ζ71−2ζ83−2ζ95−2ζ107−2ζ119−2ζ131−2ζ155000000000000000
χ702-200022-2-2000000−1+i3−1−i3−2i2i1−i31+i32ζ7+2ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79+2ζ103+2ζ115+2ζ127+2ζ139+2ζ151−2ζ7−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ79−2ζ103−2ζ115−2ζ127−2ζ139−2ζ1512ζ11+2ζ23+2ζ35+2ζ47+2ζ59+2ζ71+2ζ83+2ζ95+2ζ107+2ζ119+2ζ131+2ζ155−2ζ11−2ζ23−2ζ35−2ζ47−2ζ59−2ζ71−2ζ83−2ζ95−2ζ107−2ζ119−2ζ131−2ζ155000000000000000-22000-2-2220000001−i31+i32i−2i−1+i3−1−i3−2ζ7−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ79−2ζ103−2ζ115−2ζ127−2ζ139−2ζ1512ζ7+2ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79+2ζ103+2ζ115+2ζ127+2ζ139+2ζ151−2ζ11−2ζ23−2ζ35−2ζ47−2ζ59−2ζ71−2ζ83−2ζ95−2ζ107−2ζ119−2ζ131−2ζ1552ζ11+2ζ23+2ζ35+2ζ47+2ζ59+2ζ71+2ζ83+2ζ95+2ζ107+2ζ119+2ζ131+2ζ155000000000000000
χ7166666−1−132−1+132−1−132−1+132−1−132−1+132−1−132−1+132−1−132−1+1320000000000000000000000000-6-6-6-6-61+1321−1321+1321−1321+1321−1321+1321−1321+1321−1320000000000000000000000000
χ7266666−1+132−1−132−1+132−1−132−1+132−1−132−1+132−1−132−1+132−1−1320000000000000000000000000-6-6-6-6-61−1321+1321−1321+1321−1321+1321−1321+1321−1321+1320000000000000000000000000
χ73666-6-6−1−132−1+132−1−132−1+132−1−132−1+1321+1321−1321+1321−1320000000000000000000000000-6-6-6661+1321−1321+1321−1321+1321−132−1−132−1+132−1−132−1+1320000000000000000000000000
χ74666-6-6−1+132−1−132−1+132−1−132−1+132−1−1321−1321+1321−1321+1320000000000000000000000000-6-6-6661−1321+1321−1321+1321−1321+132−1+132−1−132−1+132−1−1320000000000000000000000000
χ7566-66-6−1−132−1+132−1−132−1+1321+1321−132−1−132−1+1321+1321−1320000000000000000000000000-6-66-661+1321−1321+1321−132−1−132−1+1321+1321−132−1−132−1+1320000000000000000000000000
χ7666-66-6−1+132−1−132−1+132−1−1321−1321+132−1+132−1−1321−1321+1320000000000000000000000000-6-66-661−1321+1321−1321+132−1+132−1−1321−1321+132−1+132−1−1320000000000000000000000000
χ7766-6-66−1−132−1+132−1−132−1+1321+1321−1321+1321−132−1−132−1+1320000000000000000000000000-6-666-61+1321−1321+1321−132−1−132−1+132−1−132−1+1321+1321−1320000000000000000000000000
χ7866-6-66−1+132−1−132−1+132−1−1321−1321+1321−1321+132−1+132−1−1320000000000000000000000000-6-666-61−1321+1321−1321+132−1+132−1−132−1+132−1−1321−1321+1320000000000000000000000000
χ7912-12000−1−13−1+131+131−130000000000000000000000000000000-12120001+131−13−1−13−1+130000000000000000000000000000000
χ8012-12000−1+13−1−131−131+130000000000000000000000000000000-12120001−131+13−1+13−1−130000000000000000000000000000000

Here ζ is a primitive root of unity of order 156 (ζ156 = 1); i = ζ39.