Finite Group Databasebeta

← Group #72226290

Character table — Group #72226290

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size1346612161616163912181836484848484121624244864646464412162424486464646413466121616161639121818364848484841216242448646464644121624244864646464
order12244433662224446666366121212336636612121233662224446666222444666666612121266666661212126666
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32
χ3111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32
χ411-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-1
χ511-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i32
χ611-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i32
χ7333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000
χ833-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-110000
χ96-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i00000
χ106-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i00000
χ1111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ12111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321
χ13111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i32
χ1411-111-111-1-111-111-111-1-1−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i3211-111-111-1-111-111-111-1-1−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32
χ1511-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−1−i32-11+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1+i3211−i32-111-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−1−i32-11+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1+i3211−i32-1
χ1611-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1−i3211+i32-1−1−i32−1−i321+i32−1−i32−1−i321+i321−1+i32-11−i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1−i3211+i32-1−1−i32−1−i321+i32−1−i32−1−i321+i321−1+i32-11−i32
χ17333-1-1-10000333-1-1-10000−3+3i32−3+3i32−3+3i321−i321−i321−i320000−3−3i32−3−3i32−3−3i321+i321+i321+i320000333-1-1-10000333-1-1-10000−3+3i32−3+3i32−3+3i321−i321−i321−i320000−3−3i32−3−3i32−3−3i321+i321+i321+i320000
χ1833-3-1-11000033-3-1-110000−3+3i32−3+3i323−3i321−i321−i32−1+i320000−3−3i32−3−3i323+3i321+i321+i32−1−i32000033-3-1-11000033-3-1-110000−3+3i32−3+3i323−3i321−i321−i32−1+i320000−3−3i32−3−3i323+3i321+i321+i32−1−i320000
χ196-202i−2i000006-202i−2i00000−3+3i31−i302ζ7−2ζ700000−3−3i31+i302ζ11−2ζ11000006-202i−2i000006-202i−2i00000−3+3i31−i302ζ7−2ζ700000−3−3i31+i302ζ11−2ζ1100000
χ206-20−2i2i000006-20−2i2i00000−3+3i31−i30−2ζ72ζ700000−3−3i31+i30−2ζ112ζ11000006-20−2i2i000006-20−2i2i00000−3+3i31−i30−2ζ72ζ700000−3−3i31+i30−2ζ112ζ1100000
χ2111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ22111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i32
χ23111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321
χ2411-111-111-1-111-111-111-1-1−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i3211-111-111-1-111-111-111-1-1−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32
χ2511-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1+i3211−i32-1−1+i32−1+i321−i32−1+i32−1+i321−i321−1−i32-11+i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1+i3211−i32-1−1+i32−1+i321−i32−1+i32−1+i321−i321−1−i32-11+i32
χ2611-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321−1+i32-11−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1−i3211+i32-111-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321−1+i32-11−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1−i3211+i32-1
χ27333-1-1-10000333-1-1-10000−3−3i32−3−3i32−3−3i321+i321+i321+i320000−3+3i32−3+3i32−3+3i321−i321−i321−i320000333-1-1-10000333-1-1-10000−3−3i32−3−3i32−3−3i321+i321+i321+i320000−3+3i32−3+3i32−3+3i321−i321−i321−i320000
χ2833-3-1-11000033-3-1-110000−3−3i32−3−3i323+3i321+i321+i32−1−i320000−3+3i32−3+3i323−3i321−i321−i32−1+i32000033-3-1-11000033-3-1-110000−3−3i32−3−3i323+3i321+i321+i32−1−i320000−3+3i32−3+3i323−3i321−i321−i32−1+i320000
χ296-202i−2i000006-202i−2i00000−3−3i31+i302ζ11−2ζ1100000−3+3i31−i302ζ7−2ζ7000006-202i−2i000006-202i−2i00000−3−3i31+i302ζ11−2ζ1100000−3+3i31−i302ζ7−2ζ700000
χ306-20−2i2i000006-20−2i2i00000−3−3i31+i30−2ζ112ζ1100000−3+3i31−i30−2ζ72ζ7000006-20−2i2i000006-20−2i2i00000−3−3i31+i30−2ζ112ζ1100000−3+3i31−i30−2ζ72ζ700000
χ313333333333-1-1-1-1-1-1-1-1-1-1000000000000000000003333333333-1-1-1-1-1-1-1-1-1-100000000000000000000
χ32333333−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-1-1-11+i321−i321+i321−i3200000000000000000000333333−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-1-1-11+i321−i321+i321−i3200000000000000000000
χ33333333−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-1-1-11−i321+i321−i321+i3200000000000000000000333333−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-1-1-11−i321+i321−i321+i3200000000000000000000
χ3433-333-333-3-3-1-11-1-11-1-1110000000000000000000033-333-333-3-3-1-11-1-11-1-11100000000000000000000
χ3533-333-3−3−3i32−3+3i323+3i323−3i32-1-11-1-111+i321−i32−1−i32−1+i320000000000000000000033-333-3−3−3i32−3+3i323+3i323−3i32-1-11-1-111+i321−i32−1−i32−1+i3200000000000000000000
χ3633-333-3−3+3i32−3−3i323−3i323+3i32-1-11-1-111−i321+i32−1+i32−1−i320000000000000000000033-333-3−3+3i32−3−3i323−3i323+3i32-1-11-1-111−i321+i32−1+i32−1−i3200000000000000000000
χ37999-3-3-30000-3-3-3111000000000000000000000000999-3-3-30000-3-3-3111000000000000000000000000
χ3899-9-3-330000-3-3311-100000000000000000000000099-9-3-330000-3-3311-1000000000000000000000000
χ3918-606i−6i00000-620−2i2i000000000000000000000000018-606i−6i00000-620−2i2i0000000000000000000000000
χ4018-60−6i6i00000-6202i−2i000000000000000000000000018-60−6i6i00000-6202i−2i0000000000000000000000000
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
χ42111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-11+i321−i321+i321−i32
χ43111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321+i32
χ4411-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-1-1-11-1-11-1-111-1-11-1-11-1-111-1-11-1-11-1-111-1-11-1-11-1-111
χ4511-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i32-1-11-1-111+i321−i32−1−i32−1+i32-1-11-1-111+i321−i32−1−i32−1+i32-1-11-1-111+i321−i32−1−i32−1+i32-1-11-1-111+i321−i32−1−i32−1+i32
χ4611-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i32-1-11-1-111−i321+i32−1+i32−1−i32-1-11-1-111−i321+i32−1+i32−1−i32-1-11-1-111−i321+i32−1+i32−1−i32-1-11-1-111−i321+i32−1+i32−1−i32
χ47333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000-3-3-31110000-3-3-31110000-3-3-31110000-3-3-31110000
χ4833-3-1-11000033-3-1-11000033-3-1-11000033-3-1-110000-3-3311-10000-3-3311-10000-3-3311-10000-3-3311-10000
χ496-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i00000-620−2i2i00000-620−2i2i00000-620−2i2i00000-620−2i2i00000
χ506-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i00000-6202i−2i00000-6202i−2i00000-6202i−2i00000-6202i−2i00000
χ5111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
χ52111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-11+i321−i321+i321−i321−i321−i321−i321−i321−i321−i32-11+i32-11+i321+i321+i321+i321+i321+i321+i321−i32-11−i32-1
χ53111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i32-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321−i321−i321−i321−i321+i32-11+i32-11+i321+i321+i321+i321+i321+i32-11−i32-11−i32
χ5411-111-111-1-111-111-111-1-1−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32-1-11-1-11-1-111-1-11-1-11-1-1111−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32
χ5511-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−1−i32-11+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1+i3211−i32-1-1-11-1-111+i321−i32−1−i32−1+i32-1-11-1-111+i321−i32−1−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32-11+i321−1−i321+i321+i32−1−i321+i321+i32−1−i321−i32-1−1+i321
χ5611-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1−i3211+i32-1−1−i32−1−i321+i32−1−i32−1−i321+i321−1+i32-11−i32-1-11-1-111−i321+i32−1+i32−1−i32-1-11-1-111−i321+i32−1+i32−1−i321−i321−i32−1+i321−i321−i32−1+i321+i32-1−1−i3211+i321+i32−1−i321+i321+i32−1−i32-11−i321−1+i32
χ57333-1-1-10000333-1-1-10000−3+3i32−3+3i32−3+3i321−i321−i321−i320000−3−3i32−3−3i32−3−3i321+i321+i321+i320000-3-3-31110000-3-3-311100003−3i323−3i323−3i32−1+i32−1+i32−1+i3200003+3i323+3i323+3i32−1−i32−1−i32−1−i320000
χ5833-3-1-11000033-3-1-110000−3+3i32−3+3i323−3i321−i321−i32−1+i320000−3−3i32−3−3i323+3i321+i321+i32−1−i320000-3-3311-10000-3-3311-100003−3i323−3i32−3+3i32−1+i32−1+i321−i3200003+3i323+3i32−3−3i32−1−i32−1−i321+i320000
χ596-202i−2i000006-202i−2i00000−3+3i31−i302ζ7−2ζ700000−3−3i31+i302ζ11−2ζ1100000-620−2i2i00000-620−2i2i000003−3i3−1+i30−2ζ72ζ7000003+3i3−1−i30−2ζ112ζ1100000
χ606-20−2i2i000006-20−2i2i00000−3+3i31−i30−2ζ72ζ700000−3−3i31+i30−2ζ112ζ1100000-6202i−2i00000-6202i−2i000003−3i3−1+i302ζ7−2ζ7000003+3i3−1−i302ζ11−2ζ1100000
χ6111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32
χ62111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i32-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321+i321+i321+i321+i321−i32-11−i32-11−i321−i321−i321−i321−i321−i32-11+i32-11+i32
χ63111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321+i321+i321+i321+i321+i321+i321+i32-11−i32-11−i321−i321−i321−i321−i321−i321−i321+i32-11+i32-1
χ6411-111-111-1-111-111-111-1-1−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32-1-11-1-11-1-111-1-11-1-11-1-1111+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32
χ6511-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1+i3211−i32-1−1+i32−1+i321−i32−1+i32−1+i321−i321−1−i32-11+i32-1-11-1-111+i321−i32−1−i32−1+i32-1-11-1-111+i321−i32−1−i32−1+i321+i321+i32−1−i321+i321+i32−1−i321−i32-1−1+i3211−i321−i32−1+i321−i321−i32−1+i32-11+i321−1−i32
χ6611-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321−1+i32-11−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1−i3211+i32-1-1-11-1-111−i321+i32−1+i32−1−i32-1-11-1-111−i321+i32−1+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32-11−i321−1+i321−i321−i32−1+i321−i321−i32−1+i321+i32-1−1−i321
χ67333-1-1-10000333-1-1-10000−3−3i32−3−3i32−3−3i321+i321+i321+i320000−3+3i32−3+3i32−3+3i321−i321−i321−i320000-3-3-31110000-3-3-311100003+3i323+3i323+3i32−1−i32−1−i32−1−i3200003−3i323−3i323−3i32−1+i32−1+i32−1+i320000
χ6833-3-1-11000033-3-1-110000−3−3i32−3−3i323+3i321+i321+i32−1−i320000−3+3i32−3+3i323−3i321−i321−i32−1+i320000-3-3311-10000-3-3311-100003+3i323+3i32−3−3i32−1−i32−1−i321+i3200003−3i323−3i32−3+3i32−1+i32−1+i321−i320000
χ696-202i−2i000006-202i−2i00000−3−3i31+i302ζ11−2ζ1100000−3+3i31−i302ζ7−2ζ700000-620−2i2i00000-620−2i2i000003+3i3−1−i30−2ζ112ζ11000003−3i3−1+i30−2ζ72ζ700000
χ706-20−2i2i000006-20−2i2i00000−3−3i31+i30−2ζ112ζ1100000−3+3i31−i30−2ζ72ζ700000-6202i−2i00000-6202i−2i000003+3i3−1−i302ζ11−2ζ11000003−3i3−1+i302ζ7−2ζ700000
χ713333333333-1-1-1-1-1-1-1-1-1-100000000000000000000-3-3-3-3-3-3-3-3-3-3111111111100000000000000000000
χ72333333−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-1-1-11+i321−i321+i321−i3200000000000000000000-3-3-3-3-3-33+3i323−3i323+3i323−3i32111111−1−i32−1+i32−1−i32−1+i3200000000000000000000
χ73333333−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-1-1-11−i321+i321−i321+i3200000000000000000000-3-3-3-3-3-33−3i323+3i323−3i323+3i32111111−1+i32−1−i32−1+i32−1−i3200000000000000000000
χ7433-333-333-3-3-1-11-1-11-1-11100000000000000000000-3-33-3-33-3-33311-111-111-1-100000000000000000000
χ7533-333-3−3−3i32−3+3i323+3i323−3i32-1-11-1-111+i321−i32−1−i32−1+i3200000000000000000000-3-33-3-333+3i323−3i32−3−3i32−3+3i3211-111-1−1−i32−1+i321+i321−i3200000000000000000000
χ7633-333-3−3+3i32−3−3i323−3i323+3i32-1-11-1-111−i321+i32−1+i32−1−i3200000000000000000000-3-33-3-333−3i323+3i32−3+3i32−3−3i3211-111-1−1+i32−1−i321−i321+i3200000000000000000000
χ77999-3-3-30000-3-3-3111000000000000000000000000-9-9-93330000333-1-1-1000000000000000000000000
χ7899-9-3-330000-3-3311-1000000000000000000000000-9-9933-3000033-3-1-11000000000000000000000000
χ7918-606i−6i00000-620−2i2i0000000000000000000000000-1860−6i6i000006-202i−2i0000000000000000000000000
χ8018-60−6i6i00000-6202i−2i0000000000000000000000000-18606i−6i000006-20−2i2i0000000000000000000000000

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