Finite Group Databasebeta

← Group #72341921

Character table — Group #72341921

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size111166666666661616161616161616111166666666661616161616161616222212121212121212121212323232323232323222221212121212121212121232323232323232322222121212121212121212123232323232323232
order12442222244444336612121212224422222444446666121212122244222224444466661212121222442222244444666612121212444444444444441212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ311111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ411-1-1111-1-111-1-1-11111-1-1-1-111-1-1111-1-111-1-1-11111-1-1-1-111-1-1111-1-111-1-1-11111-1-1-1-111-1-1111-1-111-1-1-11111-1-1-1-111-1-1111-1-111-1-1-11111-1-1-1-1
χ511-1-1111-1-111-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i3211-1-1111-1-111-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i3211-1-1111-1-111-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i3211-1-1111-1-111-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i3211-1-1111-1-111-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32
χ611-1-1111-1-111-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i3211-1-1111-1-111-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i3211-1-1111-1-111-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i3211-1-1111-1-111-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i3211-1-1111-1-111-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32
χ733333-1-1-1-1-1-13-1-10000000033333-1-1-1-1-1-13-1-10000000033333-1-1-1-1-1-13-1-10000000033333-1-1-1-1-1-13-1-10000000033333-1-1-1-1-1-13-1-100000000
χ83333-13-1-1-1-1-1-13-1000000003333-13-1-1-1-1-1-13-1000000003333-13-1-1-1-1-1-13-1000000003333-13-1-1-1-1-1-13-1000000003333-13-1-1-1-1-1-13-100000000
χ93333-1-13-1-1-1-1-1-13000000003333-1-13-1-1-1-1-1-13000000003333-1-13-1-1-1-1-1-13000000003333-1-13-1-1-1-1-1-13000000003333-1-13-1-1-1-1-1-1300000000
χ103333-1-1-13-13-1-1-1-1000000003333-1-1-13-13-1-1-1-1000000003333-1-1-13-13-1-1-1-1000000003333-1-1-13-13-1-1-1-1000000003333-1-1-13-13-1-1-1-100000000
χ113333-1-1-1-13-13-1-1-1000000003333-1-1-1-13-13-1-1-1000000003333-1-1-1-13-13-1-1-1000000003333-1-1-1-13-13-1-1-1000000003333-1-1-1-13-13-1-1-100000000
χ1233-3-33-1-111-1-1-3110000000033-3-33-1-111-1-1-3110000000033-3-33-1-111-1-1-3110000000033-3-33-1-111-1-1-3110000000033-3-33-1-111-1-1-31100000000
χ1333-3-3-13-111-1-11-310000000033-3-3-13-111-1-11-310000000033-3-3-13-111-1-11-310000000033-3-3-13-111-1-11-310000000033-3-3-13-111-1-11-3100000000
χ1433-3-3-1-1311-1-111-30000000033-3-3-1-1311-1-111-30000000033-3-3-1-1311-1-111-30000000033-3-3-1-1311-1-111-30000000033-3-3-1-1311-1-111-300000000
χ1533-3-3-1-1-11-3-131110000000033-3-3-1-1-11-3-131110000000033-3-3-1-1-11-3-131110000000033-3-3-1-1-11-3-131110000000033-3-3-1-1-11-3-1311100000000
χ1633-3-3-1-1-1-313-11110000000033-3-3-1-1-1-313-11110000000033-3-3-1-1-1-313-11110000000033-3-3-1-1-1-313-11110000000033-3-3-1-1-1-313-111100000000
χ174-44i−4i000000000011-1-1i−ii−i4-44i−4i000000000011-1-1i−ii−i4-44i−4i000000000011-1-1i−ii−i4-44i−4i000000000011-1-1i−ii−i4-44i−4i000000000011-1-1i−ii−i
χ184-44i−4i0000000000−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ74-44i−4i0000000000−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ74-44i−4i0000000000−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ74-44i−4i0000000000−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ74-44i−4i0000000000−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ7
χ194-44i−4i0000000000−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ114-44i−4i0000000000−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ114-44i−4i0000000000−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ114-44i−4i0000000000−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ114-44i−4i0000000000−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ11
χ204-4−4i4i000000000011-1-1−ii−ii4-4−4i4i000000000011-1-1−ii−ii4-4−4i4i000000000011-1-1−ii−ii4-4−4i4i000000000011-1-1−ii−ii4-4−4i4i000000000011-1-1−ii−ii
χ214-4−4i4i0000000000−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ74-4−4i4i0000000000−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ74-4−4i4i0000000000−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ74-4−4i4i0000000000−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ74-4−4i4i0000000000−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ7
χ224-4−4i4i0000000000−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ114-4−4i4i0000000000−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ114-4−4i4i0000000000−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ114-4−4i4i0000000000−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ114-4−4i4i0000000000−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ11
χ23111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2411111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32
χ2511111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32
χ2611-1-1111-1-111-1-1-11111-1-1-1-111-1-1111-1-111-1-1-11111-1-1-1-111-1-1111-1-111-1-1-11111-1-1-1-1-1-111-1-1-111-1-1111-1-1-1-11111-1-111-1-1-111-1-1111-1-1-1-11111
χ2711-1-1111-1-111-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i3211-1-1111-1-111-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i3211-1-1111-1-111-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-111-1-1-111-1-11111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32-1-111-1-1-111-1-11111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32
χ2811-1-1111-1-111-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i3211-1-1111-1-111-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i3211-1-1111-1-111-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-111-1-1-111-1-11111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32-1-111-1-1-111-1-11111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32
χ2933333-1-1-1-1-1-13-1-10000000033333-1-1-1-1-1-13-1-10000000033333-1-1-1-1-1-13-1-100000000-3-3-3-3-3111111-31100000000-3-3-3-3-3111111-31100000000
χ303333-13-1-1-1-1-1-13-1000000003333-13-1-1-1-1-1-13-1000000003333-13-1-1-1-1-1-13-100000000-3-3-3-31-3111111-3100000000-3-3-3-31-3111111-3100000000
χ313333-1-13-1-1-1-1-1-13000000003333-1-13-1-1-1-1-1-13000000003333-1-13-1-1-1-1-1-1300000000-3-3-3-311-3111111-300000000-3-3-3-311-3111111-300000000
χ323333-1-1-13-13-1-1-1-1000000003333-1-1-13-13-1-1-1-1000000003333-1-1-13-13-1-1-1-100000000-3-3-3-3111-31-3111100000000-3-3-3-3111-31-3111100000000
χ333333-1-1-1-13-13-1-1-1000000003333-1-1-1-13-13-1-1-1000000003333-1-1-1-13-13-1-1-100000000-3-3-3-31111-31-311100000000-3-3-3-31111-31-311100000000
χ3433-3-33-1-111-1-1-3110000000033-3-33-1-111-1-1-3110000000033-3-33-1-111-1-1-31100000000-3-333-311-1-1113-1-100000000-3-333-311-1-1113-1-100000000
χ3533-3-3-13-111-1-11-310000000033-3-3-13-111-1-11-310000000033-3-3-13-111-1-11-3100000000-3-3331-31-1-111-13-100000000-3-3331-31-1-111-13-100000000
χ3633-3-3-1-1311-1-111-30000000033-3-3-1-1311-1-111-30000000033-3-3-1-1311-1-111-300000000-3-33311-3-1-111-1-1300000000-3-33311-3-1-111-1-1300000000
χ3733-3-3-1-1-11-3-131110000000033-3-3-1-1-11-3-131110000000033-3-3-1-1-11-3-1311100000000-3-333111-131-3-1-1-100000000-3-333111-131-3-1-1-100000000
χ3833-3-3-1-1-1-313-11110000000033-3-3-1-1-1-313-11110000000033-3-3-1-1-1-313-111100000000-3-3331113-1-31-1-1-100000000-3-3331113-1-31-1-1-100000000
χ394-44i−4i000000000011-1-1i−ii−i4-44i−4i000000000011-1-1i−ii−i4-44i−4i000000000011-1-1i−ii−i-44−4i4i0000000000-1-111−ii−ii-44−4i4i0000000000-1-111−ii−ii
χ404-44i−4i0000000000−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ74-44i−4i0000000000−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ74-44i−4i0000000000−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ7-44−4i4i00000000001+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7-44−4i4i00000000001+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7
χ414-44i−4i0000000000−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ114-44i−4i0000000000−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ114-44i−4i0000000000−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ11-44−4i4i00000000001−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11-44−4i4i00000000001−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11
χ424-4−4i4i000000000011-1-1−ii−ii4-4−4i4i000000000011-1-1−ii−ii4-4−4i4i000000000011-1-1−ii−ii-444i−4i0000000000-1-111i−ii−i-444i−4i0000000000-1-111i−ii−i
χ434-4−4i4i0000000000−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ74-4−4i4i0000000000−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ74-4−4i4i0000000000−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ7-444i−4i00000000001+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7-444i−4i00000000001+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7
χ444-4−4i4i0000000000−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ114-4−4i4i0000000000−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ114-4−4i4i0000000000−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ11-444i−4i00000000001−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11-444i−4i00000000001−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11
χ4511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4611111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i3211111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32
χ4711111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i3211111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32
χ4811-1-1111-1-111-1-1-11111-1-1-1-111-1-1111-1-111-1-1-11111-1-1-1-1-1-111-1-1-111-1-1111-1-1-1-1111111-1-1111-1-111-1-1-11111-1-1-1-1-1-111-1-1-111-1-1111-1-1-1-11111
χ4911-1-1111-1-111-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i3211-1-1111-1-111-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-111-1-1-111-1-11111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i3211-1-1111-1-111-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-111-1-1-111-1-11111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32
χ5011-1-1111-1-111-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i3211-1-1111-1-111-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-111-1-1-111-1-11111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i3211-1-1111-1-111-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-111-1-1-111-1-11111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32
χ5133333-1-1-1-1-1-13-1-10000000033333-1-1-1-1-1-13-1-100000000-3-3-3-3-3111111-3110000000033333-1-1-1-1-1-13-1-100000000-3-3-3-3-3111111-31100000000
χ523333-13-1-1-1-1-1-13-1000000003333-13-1-1-1-1-1-13-100000000-3-3-3-31-3111111-31000000003333-13-1-1-1-1-1-13-100000000-3-3-3-31-3111111-3100000000
χ533333-1-13-1-1-1-1-1-13000000003333-1-13-1-1-1-1-1-1300000000-3-3-3-311-3111111-3000000003333-1-13-1-1-1-1-1-1300000000-3-3-3-311-3111111-300000000
χ543333-1-1-13-13-1-1-1-1000000003333-1-1-13-13-1-1-1-100000000-3-3-3-3111-31-31111000000003333-1-1-13-13-1-1-1-100000000-3-3-3-3111-31-3111100000000
χ553333-1-1-1-13-13-1-1-1000000003333-1-1-1-13-13-1-1-100000000-3-3-3-31111-31-3111000000003333-1-1-1-13-13-1-1-100000000-3-3-3-31111-31-311100000000
χ5633-3-33-1-111-1-1-3110000000033-3-33-1-111-1-1-31100000000-3-333-311-1-1113-1-10000000033-3-33-1-111-1-1-31100000000-3-333-311-1-1113-1-100000000
χ5733-3-3-13-111-1-11-310000000033-3-3-13-111-1-11-3100000000-3-3331-31-1-111-13-10000000033-3-3-13-111-1-11-3100000000-3-3331-31-1-111-13-100000000
χ5833-3-3-1-1311-1-111-30000000033-3-3-1-1311-1-111-300000000-3-33311-3-1-111-1-130000000033-3-3-1-1311-1-111-300000000-3-33311-3-1-111-1-1300000000
χ5933-3-3-1-1-11-3-131110000000033-3-3-1-1-11-3-1311100000000-3-333111-131-3-1-1-10000000033-3-3-1-1-11-3-1311100000000-3-333111-131-3-1-1-100000000
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χ644-4−4i4i000000000011-1-1−ii−ii4-4−4i4i000000000011-1-1−ii−ii-444i−4i0000000000-1-111i−ii−i4-4−4i4i000000000011-1-1−ii−ii-444i−4i0000000000-1-111i−ii−i
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χ664-4−4i4i0000000000−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ114-4−4i4i0000000000−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ11-444i−4i00000000001−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ114-4−4i4i0000000000−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ11-444i−4i00000000001−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11
χ6711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111
χ6811111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i3211111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ6911111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i3211111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ7011-1-1111-1-111-1-1-11111-1-1-1-111-1-1111-1-111-1-1-11111-1-1-1-1-1-111-1-1-111-1-1111-1-1-1-11111-1-111-1-1-111-1-1111-1-1-1-1111111-1-1111-1-111-1-1-11111-1-1-1-1
χ7111-1-1111-1-111-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i3211-1-1111-1-111-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-111-1-1-111-1-11111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32-1-111-1-1-111-1-11111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i3211-1-1111-1-111-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32
χ7211-1-1111-1-111-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i3211-1-1111-1-111-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-111-1-1-111-1-11111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32-1-111-1-1-111-1-11111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i3211-1-1111-1-111-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32
χ7333333-1-1-1-1-1-13-1-10000000033333-1-1-1-1-1-13-1-100000000-3-3-3-3-3111111-31100000000-3-3-3-3-3111111-3110000000033333-1-1-1-1-1-13-1-100000000
χ743333-13-1-1-1-1-1-13-1000000003333-13-1-1-1-1-1-13-100000000-3-3-3-31-3111111-3100000000-3-3-3-31-3111111-31000000003333-13-1-1-1-1-1-13-100000000
χ753333-1-13-1-1-1-1-1-13000000003333-1-13-1-1-1-1-1-1300000000-3-3-3-311-3111111-300000000-3-3-3-311-3111111-3000000003333-1-13-1-1-1-1-1-1300000000
χ763333-1-1-13-13-1-1-1-1000000003333-1-1-13-13-1-1-1-100000000-3-3-3-3111-31-3111100000000-3-3-3-3111-31-31111000000003333-1-1-13-13-1-1-1-100000000
χ773333-1-1-1-13-13-1-1-1000000003333-1-1-1-13-13-1-1-100000000-3-3-3-31111-31-311100000000-3-3-3-31111-31-3111000000003333-1-1-1-13-13-1-1-100000000
χ7833-3-33-1-111-1-1-3110000000033-3-33-1-111-1-1-31100000000-3-333-311-1-1113-1-100000000-3-333-311-1-1113-1-10000000033-3-33-1-111-1-1-31100000000
χ7933-3-3-13-111-1-11-310000000033-3-3-13-111-1-11-3100000000-3-3331-31-1-111-13-100000000-3-3331-31-1-111-13-10000000033-3-3-13-111-1-11-3100000000
χ8033-3-3-1-1311-1-111-30000000033-3-3-1-1311-1-111-300000000-3-33311-3-1-111-1-1300000000-3-33311-3-1-111-1-130000000033-3-3-1-1311-1-111-300000000
χ8133-3-3-1-1-11-3-131110000000033-3-3-1-1-11-3-1311100000000-3-333111-131-3-1-1-100000000-3-333111-131-3-1-1-10000000033-3-3-1-1-11-3-1311100000000
χ8233-3-3-1-1-1-313-11110000000033-3-3-1-1-1-313-111100000000-3-3331113-1-31-1-1-100000000-3-3331113-1-31-1-1-10000000033-3-3-1-1-1-313-111100000000
χ834-44i−4i000000000011-1-1i−ii−i4-44i−4i000000000011-1-1i−ii−i-44−4i4i0000000000-1-111−ii−ii-44−4i4i0000000000-1-111−ii−ii4-44i−4i000000000011-1-1i−ii−i
χ844-44i−4i0000000000−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ74-44i−4i0000000000−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ7-44−4i4i00000000001+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7-44−4i4i00000000001+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ74-44i−4i0000000000−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ7
χ854-44i−4i0000000000−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ114-44i−4i0000000000−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ11-44−4i4i00000000001−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11-44−4i4i00000000001−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ114-44i−4i0000000000−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ11
χ864-4−4i4i000000000011-1-1−ii−ii4-4−4i4i000000000011-1-1−ii−ii-444i−4i0000000000-1-111i−ii−i-444i−4i0000000000-1-111i−ii−i4-4−4i4i000000000011-1-1−ii−ii
χ874-4−4i4i0000000000−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ74-4−4i4i0000000000−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ7-444i−4i00000000001+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7-444i−4i00000000001+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ74-4−4i4i0000000000−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ7
χ884-4−4i4i0000000000−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ114-4−4i4i0000000000−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ11-444i−4i00000000001−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11-444i−4i00000000001−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ114-4−4i4i0000000000−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ11
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χ9022222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-2-2-2-2-2-2-2-2-2-2-2-2-2-21+i31−i31+i31−i31+i31+i31−i31−i3000000000000000000000000000000000000000000000000000000000000000000
χ9122222222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-2-2-2-2-2-2-2-2-2-2-2-2-2-21−i31+i31−i31+i31−i31−i31+i31+i3000000000000000000000000000000000000000000000000000000000000000000
χ9222-2-2222-2-222-2-2-22222-2-2-2-2-2-222-2-2-222-2-2222-2-2-2-22222000000000000000000000000000000000000000000000000000000000000000000
χ9322-2-2222-2-222-2-2-2−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i3-2-222-2-2-222-2-22221+i31−i31+i31−i3−1−i3−1−i3−1+i3−1+i3000000000000000000000000000000000000000000000000000000000000000000
χ9422-2-2222-2-222-2-2-2−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i3-2-222-2-2-222-2-22221−i31+i31−i31+i3−1+i3−1+i3−1−i3−1−i3000000000000000000000000000000000000000000000000000000000000000000
χ9566666-2-2-2-2-2-26-2-200000000-6-6-6-6-6222222-62200000000000000000000000000000000000000000000000000000000000000000000000000
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χ996666-2-2-2-26-26-2-2-200000000-6-6-6-62222-62-622200000000000000000000000000000000000000000000000000000000000000000000000000
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χ1058-88i−8i000000000022-2-22i−2i2i−2i-88−8i8i0000000000-2-222−2i2i−2i2i000000000000000000000000000000000000000000000000000000000000000000
χ1068-88i−8i0000000000−1−i3−1+i31+i31−i32ζ11−2ζ112ζ7−2ζ7-88−8i8i00000000001+i31−i3−1−i3−1+i3−2ζ112ζ11−2ζ72ζ7000000000000000000000000000000000000000000000000000000000000000000
χ1078-88i−8i0000000000−1+i3−1−i31−i31+i32ζ7−2ζ72ζ11−2ζ11-88−8i8i00000000001−i31+i3−1+i3−1−i3−2ζ72ζ7−2ζ112ζ11000000000000000000000000000000000000000000000000000000000000000000
χ1088-8−8i8i000000000022-2-2−2i2i−2i2i-888i−8i0000000000-2-2222i−2i2i−2i000000000000000000000000000000000000000000000000000000000000000000
χ1098-8−8i8i0000000000−1−i3−1+i31+i31−i3−2ζ112ζ11−2ζ72ζ7-888i−8i00000000001+i31−i3−1−i3−1+i32ζ11−2ζ112ζ7−2ζ7000000000000000000000000000000000000000000000000000000000000000000
χ1108-8−8i8i0000000000−1+i3−1−i31−i31+i3−2ζ72ζ7−2ζ112ζ11-888i−8i00000000001−i31+i3−1+i3−1−i32ζ7−2ζ72ζ11−2ζ11000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.