Finite Group Databasebeta

← Group #72228091

Character table — Group #72228091

Order 4608.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size13466121616161639121818364848484839121818364848484839121818364848484839121818364848484839121818364848484816486496961922562562562561648649696192256256256256
order122444336622244466664444441212121244444412121212444444121212124444441212121236612121233663661212123366
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
χ11111111111111111111111111111111111111111111111111111111111111−1−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+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+i32−1−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
χ13111111−1+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−i32−1−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
χ1411-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-1−1−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−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−i32−1−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
χ1611-111-1−1+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+i32−1−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
χ17333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000−3−3i32−3−3i32−3−3i321+i321+i321+i320000−3+3i32−3+3i32−3+3i321−i321−i321−i320000
χ1833-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-110000−3−3i32−3−3i323+3i321+i321+i32−1−i320000−3+3i32−3+3i323−3i321−i321−i32−1+i320000
χ196-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i00000−3−3i31+i302ζ11−2ζ1100000−3+3i31−i302ζ7−2ζ700000
χ206-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i00000−3−3i31+i30−2ζ112ζ1100000−3+3i31−i30−2ζ72ζ700000
χ21111111111111111111111111111111111111111111111111111111111111−1+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+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+i32−1+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
χ23111111−1+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−i32−1+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
χ2411-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-1−1+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−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−i32−1+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
χ2611-111-1−1+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+i32−1+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
χ27333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000−3+3i32−3+3i32−3+3i321−i321−i321−i320000−3−3i32−3−3i32−3−3i321+i321+i321+i320000
χ2833-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-110000−3+3i32−3+3i323−3i321−i321−i32−1+i320000−3−3i32−3−3i323+3i321+i321+i32−1−i320000
χ296-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i00000−3+3i31−i302ζ7−2ζ700000−3−3i31+i302ζ11−2ζ1100000
χ306-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i00000−3+3i31−i30−2ζ72ζ700000−3−3i31+i30−2ζ112ζ1100000
χ3133333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ32333333−3−3i32−3+3i32−3−3i32−3+3i32333333−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-1-1-11+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−i3200000000000000000000
χ33333333−3+3i32−3−3i32−3+3i32−3−3i32333333−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-1-1-11−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+i3200000000000000000000
χ3433-333-333-3-333-333-333-3-3-1-11-1-11-1-111-1-11-1-11-1-111-1-11-1-11-1-111-1-11-1-11-1-11100000000000000000000
χ3533-333-3−3−3i32−3+3i323+3i323−3i3233-333-3−3−3i32−3+3i323+3i323−3i32-1-11-1-111+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+i3200000000000000000000
χ3633-333-3−3+3i32−3−3i323−3i323+3i3233-333-3−3+3i32−3−3i323−3i323+3i32-1-11-1-111−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−i3200000000000000000000
χ37999-3-3-30000999-3-3-30000-3-3-31110000-3-3-31110000-3-3-31110000-3-3-3111000000000000000000000000
χ3899-9-3-33000099-9-3-330000-3-3311-10000-3-3311-10000-3-3311-10000-3-3311-1000000000000000000000000
χ3918-606i−6i0000018-606i−6i00000-620−2i2i00000-620−2i2i00000-620−2i2i00000-620−2i2i0000000000000000000000000
χ4018-60−6i6i0000018-60−6i6i00000-6202i−2i00000-6202i−2i00000-6202i−2i00000-6202i−2i0000000000000000000000000
χ413333333333-1-1-1-1-1-1-1-1-1-111111111111111111111−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i00000000000000000000
χ42333333−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-1-1-11+i321−i321+i321−i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1+2i−1+2i−1+2i−1+2i−1+2i−1+2iζ2+2ζ112ζ7+ζ10ζ2+2ζ112ζ7+ζ10−1−2i−1−2i−1−2i−1−2i−1−2i−1−2iζ2−2ζ11−2ζ7+ζ10ζ2−2ζ11−2ζ7+ζ1000000000000000000000
χ43333333−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-1-1-11−i321+i321−i321+i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i2ζ7+ζ10ζ2+2ζ112ζ7+ζ10ζ2+2ζ11−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−2ζ7+ζ10ζ2−2ζ11−2ζ7+ζ10ζ2−2ζ1100000000000000000000
χ4433-333-333-3-3-1-11-1-11-1-11111-111-111-1-111-111-111-1-1−1+2i−1+2i1−2i−1+2i−1+2i1−2i−1+2i−1+2i1−2i1−2i−1−2i−1−2i1+2i−1−2i−1−2i1+2i−1−2i−1−2i1+2i1+2i00000000000000000000
χ4533-333-3−3−3i32−3+3i323+3i323−3i32-1-11-1-111+i321−i32−1−i32−1+i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i32−1+2i−1+2i1−2i−1+2i−1+2i1−2iζ2+2ζ112ζ7+ζ10−ζ2−2ζ11−2ζ7−ζ10−1−2i−1−2i1+2i−1−2i−1−2i1+2iζ2−2ζ11−2ζ7+ζ10−ζ2+2ζ112ζ7−ζ1000000000000000000000
χ4633-333-3−3+3i32−3−3i323−3i323+3i32-1-11-1-111−i321+i32−1+i32−1−i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i32−1+2i−1+2i1−2i−1+2i−1+2i1−2i2ζ7+ζ10ζ2+2ζ11−2ζ7−ζ10−ζ2−2ζ11−1−2i−1−2i1+2i−1−2i−1−2i1+2i−2ζ7+ζ10ζ2−2ζ112ζ7−ζ10−ζ2+2ζ1100000000000000000000
χ47999-3-3-30000-3-3-31110000333-1-1-10000333-1-1-10000−3+6i−3+6i−3+6i1−2i1−2i1−2i0000−3−6i−3−6i−3−6i1+2i1+2i1+2i000000000000000000000000
χ4899-9-3-330000-3-3311-1000033-3-1-11000033-3-1-110000−3+6i−3+6i3−6i1−2i1−2i−1+2i0000−3−6i−3−6i3+6i1+2i1+2i−1−2i000000000000000000000000
χ4918-606i−6i00000-620−2i2i000006-202i−2i000006-202i−2i00000−6+12i2−4i0−4−2i4+2i00000−6−12i2+4i04−2i−4+2i0000000000000000000000000
χ5018-60−6i6i00000-6202i−2i000006-20−2i2i000006-20−2i2i00000−6+12i2−4i04+2i−4−2i00000−6−12i2+4i0−4+2i4−2i0000000000000000000000000
χ513333333333-1-1-1-1-1-1-1-1-1-111111111111111111111−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i00000000000000000000
χ52333333−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-1-1-11+i321−i321+i321−i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−2i−1−2i−1−2i−1−2i−1−2i−1−2iζ2−2ζ11−2ζ7+ζ10ζ2−2ζ11−2ζ7+ζ10−1+2i−1+2i−1+2i−1+2i−1+2i−1+2iζ2+2ζ112ζ7+ζ10ζ2+2ζ112ζ7+ζ1000000000000000000000
χ53333333−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-1-1-11−i321+i321−i321+i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−2ζ7+ζ10ζ2−2ζ11−2ζ7+ζ10ζ2−2ζ11−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i2ζ7+ζ10ζ2+2ζ112ζ7+ζ10ζ2+2ζ1100000000000000000000
χ5433-333-333-3-3-1-11-1-11-1-11111-111-111-1-111-111-111-1-1−1−2i−1−2i1+2i−1−2i−1−2i1+2i−1−2i−1−2i1+2i1+2i−1+2i−1+2i1−2i−1+2i−1+2i1−2i−1+2i−1+2i1−2i1−2i00000000000000000000
χ5533-333-3−3−3i32−3+3i323+3i323−3i32-1-11-1-111+i321−i32−1−i32−1+i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i32−1−2i−1−2i1+2i−1−2i−1−2i1+2iζ2−2ζ11−2ζ7+ζ10−ζ2+2ζ112ζ7−ζ10−1+2i−1+2i1−2i−1+2i−1+2i1−2iζ2+2ζ112ζ7+ζ10−ζ2−2ζ11−2ζ7−ζ1000000000000000000000
χ5633-333-3−3+3i32−3−3i323−3i323+3i32-1-11-1-111−i321+i32−1+i32−1−i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i32−1−2i−1−2i1+2i−1−2i−1−2i1+2i−2ζ7+ζ10ζ2−2ζ112ζ7−ζ10−ζ2+2ζ11−1+2i−1+2i1−2i−1+2i−1+2i1−2i2ζ7+ζ10ζ2+2ζ11−2ζ7−ζ10−ζ2−2ζ1100000000000000000000
χ57999-3-3-30000-3-3-31110000333-1-1-10000333-1-1-10000−3−6i−3−6i−3−6i1+2i1+2i1+2i0000−3+6i−3+6i−3+6i1−2i1−2i1−2i000000000000000000000000
χ5899-9-3-330000-3-3311-1000033-3-1-11000033-3-1-110000−3−6i−3−6i3+6i1+2i1+2i−1−2i0000−3+6i−3+6i3−6i1−2i1−2i−1+2i000000000000000000000000
χ5918-606i−6i00000-620−2i2i000006-202i−2i000006-202i−2i00000−6−12i2+4i04−2i−4+2i00000−6+12i2−4i0−4−2i4+2i0000000000000000000000000
χ6018-60−6i6i00000-6202i−2i000006-20−2i2i000006-20−2i2i00000−6−12i2+4i0−4+2i4−2i00000−6+12i2−4i04+2i−4−2i0000000000000000000000000
χ613333333333-1-1-1-1-1-1-1-1-1-1−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i1111111111111111111100000000000000000000
χ62333333−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-1-1-11+i321−i321+i321−i32−1+2i−1+2i−1+2i−1+2i−1+2i−1+2iζ2+2ζ112ζ7+ζ10ζ2+2ζ112ζ7+ζ10−1−2i−1−2i−1−2i−1−2i−1−2i−1−2iζ2−2ζ11−2ζ7+ζ10ζ2−2ζ11−2ζ7+ζ10111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i3200000000000000000000
χ63333333−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-1-1-11−i321+i321−i321+i32−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i2ζ7+ζ10ζ2+2ζ112ζ7+ζ10ζ2+2ζ11−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−2ζ7+ζ10ζ2−2ζ11−2ζ7+ζ10ζ2−2ζ11111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i3200000000000000000000
χ6433-333-333-3-3-1-11-1-11-1-111−1+2i−1+2i1−2i−1+2i−1+2i1−2i−1+2i−1+2i1−2i1−2i−1−2i−1−2i1+2i−1−2i−1−2i1+2i−1−2i−1−2i1+2i1+2i11-111-111-1-111-111-111-1-100000000000000000000
χ6533-333-3−3−3i32−3+3i323+3i323−3i32-1-11-1-111+i321−i32−1−i32−1+i32−1+2i−1+2i1−2i−1+2i−1+2i1−2iζ2+2ζ112ζ7+ζ10−ζ2−2ζ11−2ζ7−ζ10−1−2i−1−2i1+2i−1−2i−1−2i1+2iζ2−2ζ11−2ζ7+ζ10−ζ2+2ζ112ζ7−ζ1011-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3200000000000000000000
χ6633-333-3−3+3i32−3−3i323−3i323+3i32-1-11-1-111−i321+i32−1+i32−1−i32−1+2i−1+2i1−2i−1+2i−1+2i1−2i2ζ7+ζ10ζ2+2ζ11−2ζ7−ζ10−ζ2−2ζ11−1−2i−1−2i1+2i−1−2i−1−2i1+2i−2ζ7+ζ10ζ2−2ζ112ζ7−ζ10−ζ2+2ζ1111-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3200000000000000000000
χ67999-3-3-30000-3-3-31110000−3+6i−3+6i−3+6i1−2i1−2i1−2i0000−3−6i−3−6i−3−6i1+2i1+2i1+2i0000333-1-1-10000333-1-1-1000000000000000000000000
χ6899-9-3-330000-3-3311-10000−3+6i−3+6i3−6i1−2i1−2i−1+2i0000−3−6i−3−6i3+6i1+2i1+2i−1−2i000033-3-1-11000033-3-1-11000000000000000000000000
χ6918-606i−6i00000-620−2i2i00000−6+12i2−4i0−4−2i4+2i00000−6−12i2+4i04−2i−4+2i000006-202i−2i000006-202i−2i0000000000000000000000000
χ7018-60−6i6i00000-6202i−2i00000−6+12i2−4i04+2i−4−2i00000−6−12i2+4i0−4+2i4−2i000006-20−2i2i000006-20−2i2i0000000000000000000000000
χ713333333333-1-1-1-1-1-1-1-1-1-1−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i1111111111111111111100000000000000000000
χ72333333−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-1-1-11+i321−i321+i321−i32−1−2i−1−2i−1−2i−1−2i−1−2i−1−2iζ2−2ζ11−2ζ7+ζ10ζ2−2ζ11−2ζ7+ζ10−1+2i−1+2i−1+2i−1+2i−1+2i−1+2iζ2+2ζ112ζ7+ζ10ζ2+2ζ112ζ7+ζ10111111−1−i32−1+i32−1−i32−1+i32111111−1−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+i32−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−2ζ7+ζ10ζ2−2ζ11−2ζ7+ζ10ζ2−2ζ11−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i2ζ7+ζ10ζ2+2ζ112ζ7+ζ10ζ2+2ζ11111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i3200000000000000000000
χ7433-333-333-3-3-1-11-1-11-1-111−1−2i−1−2i1+2i−1−2i−1−2i1+2i−1−2i−1−2i1+2i1+2i−1+2i−1+2i1−2i−1+2i−1+2i1−2i−1+2i−1+2i1−2i1−2i11-111-111-1-111-111-111-1-100000000000000000000
χ7533-333-3−3−3i32−3+3i323+3i323−3i32-1-11-1-111+i321−i32−1−i32−1+i32−1−2i−1−2i1+2i−1−2i−1−2i1+2iζ2−2ζ11−2ζ7+ζ10−ζ2+2ζ112ζ7−ζ10−1+2i−1+2i1−2i−1+2i−1+2i1−2iζ2+2ζ112ζ7+ζ10−ζ2−2ζ11−2ζ7−ζ1011-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3200000000000000000000
χ7633-333-3−3+3i32−3−3i323−3i323+3i32-1-11-1-111−i321+i32−1+i32−1−i32−1−2i−1−2i1+2i−1−2i−1−2i1+2i−2ζ7+ζ10ζ2−2ζ112ζ7−ζ10−ζ2+2ζ11−1+2i−1+2i1−2i−1+2i−1+2i1−2i2ζ7+ζ10ζ2+2ζ11−2ζ7−ζ10−ζ2−2ζ1111-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3200000000000000000000
χ77999-3-3-30000-3-3-31110000−3−6i−3−6i−3−6i1+2i1+2i1+2i0000−3+6i−3+6i−3+6i1−2i1−2i1−2i0000333-1-1-10000333-1-1-1000000000000000000000000
χ7899-9-3-330000-3-3311-10000−3−6i−3−6i3+6i1+2i1+2i−1−2i0000−3+6i−3+6i3−6i1−2i1−2i−1+2i000033-3-1-11000033-3-1-11000000000000000000000000
χ7918-606i−6i00000-620−2i2i00000−6−12i2+4i04−2i−4+2i00000−6+12i2−4i0−4−2i4+2i000006-202i−2i000006-202i−2i0000000000000000000000000
χ8018-60−6i6i00000-6202i−2i00000−6−12i2+4i0−4+2i4−2i00000−6+12i2−4i04+2i−4−2i000006-20−2i2i000006-20−2i2i0000000000000000000000000

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