Finite Group Databasebeta

← Group #13164506

Character table — Group #13164506

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size11111122222222266666666666666121212121212121212121212121212181818181818242424242424363636363636363636363636363636363636363636484848484848484848
order12336622466661212234446661212121212126666612121212121212121212882424242433366622246666668881212242424242424666666121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111
χ31111111-1-111-1-1-1-1-111-11-1-1111-1-1111-1-1-1-1111111-1-1-1-111111111111111-1-11111-1-11-1-1-1-111-1-1-1-1111-1-1-1-1-1-1
χ41111111-1-111-1-1-1-1-111-11-1-1111-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-11111-1-11111111-1-1-1-1-1-1
χ5111111-11-1-1-111-1-1-11-111-1-11-1-11111-11-1-1-1111-1-1-1111-11111111111111-11-111-1-111-11-1-1-1-1-111-1-1-1-1-1111-1-1-1
χ6111111-11-1-1-111-1-1-11-111-1-11-1-11111-11-1-1-1111-1-1-1111-1-1-1-1-1-1-1111111-11-11-1-111-1-11-111111-1-111-1-1-1111-1-1-1
χ7111111-1-11-1-1-1-11111-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-111111111111111-1-1111-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1111
χ8111111-1-11-1-1-1-11111-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-11-1-1-1-1-1-1111111-111-1-1-1111111-1-1-11111-1-1-1-1-1-1-1-1111
χ922222222222222222222222222222222222222222222000000-1-1-1-1-1-1000000000000000000000-1-1-1-1-1-1-1-1-1
χ102222222222222222-122222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000002-1-12-1-10000000000000000000002-1-12-1-12-1-1
χ112222222222222222-122222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-12-1-12-1000000000000000000000-12-1-12-1-12-1
χ122222222222222222-122222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-1-12-1-12000000000000000000000-1-12-1-12-1-12
χ132222222-2-222-2-2-2-2-222-22-2-2222-2-2222-2-2-2-2222222-2-2-2-2000000-1-1-1-1-1-1000000000000000000000-1-1-1111111
χ142222222-2-222-2-2-2-2-2-12-22-2-2-122-2-222-11111-1-1-1-1-1-111110000002-1-12-1-10000000000000000000002-1-1-211-211
χ152222222-2-222-2-2-2-2-2-12-22-2-2-122-2-222-11111-1-1-1-1-1-11111000000-12-1-12-1000000000000000000000-12-11-211-21
χ162222222-2-222-2-2-2-2-2-12-22-2-2-122-2-222-11111-1-1-1-1-1-11111000000-1-12-1-12000000000000000000000-1-1211-211-2
χ17222222-22-2-2-222-2-2-22-222-2-22-2-22222-22-2-2-2222-2-2-2222-2000000-1-1-1-1-1-1000000000000000000000111-1-1-1111
χ18222222-22-2-2-222-2-2-2-1-222-2-2-1-2-222221-1111-1-1-1111-1-1-110000002-1-12-1-1000000000000000000000-2112-1-1-211
χ19222222-22-2-2-222-2-2-2-1-222-2-2-1-2-222221-1111-1-1-1111-1-1-11000000-12-1-12-10000000000000000000001-21-12-11-21
χ20222222-22-2-2-222-2-2-2-1-222-2-2-1-2-222221-1111-1-1-1111-1-1-11000000-1-12-1-1200000000000000000000011-2-1-1211-2
χ21222222-2-22-2-2-2-22222-2-22222-2-2-2-222-2-2222222-2-2-2-2-2-22000000-1-1-1-1-1-1000000000000000000000111111-1-1-1
χ22222222-2-22-2-2-2-2222-1-2-2222-1-2-2-2-22211-1-1-1-1-1-1111111-10000002-1-12-1-1000000000000000000000-211-2112-1-1
χ23222222-2-22-2-2-2-2222-1-2-2222-1-2-2-2-22211-1-1-1-1-1-1111111-1000000-12-1-12-10000000000000000000001-211-21-12-1
χ24222222-2-22-2-2-2-2222-1-2-2222-1-2-2-2-22211-1-1-1-1-1-1111111-1000000-1-12-1-1200000000000000000000011-211-2-1-12
χ25333333333333333-13-1-1-1-1-13-1-1-1-1-1-133-1-1-1-1-1-1-1-1-1-1-1-13111111000000-1-1-1-1-1-1-1-1-1-1111-1-1111111000000000
χ26333333333333333-13-1-1-1-1-13-1-1-1-1-1-133-1-1-1-1-1-1-1-1-1-1-1-13-1-1-1-1-1-10000001111111111-1-1-111-1-1-1-1-1-1000000000
χ273333333-3-333-3-3-3-313-11-1113-1-111-1-13-3111-1-1-1-1-1-1111-3111111000000-1-111-1-1-1-1111-1-11111-1-1-1-1000000000
χ283333333-3-333-3-3-3-313-11-1113-1-111-1-13-3111-1-1-1-1-1-1111-3-1-1-1-1-1-100000011-1-11111-1-1-111-1-1-1-11111000000000
χ29333333-33-3-3-333-3-3131-1-111311-1-1-1-1-33111-1-1-1111-1-1-1-3111111000000-11-11-1-111-1-1-11-111-1-111-1-1000000000
χ30333333-33-3-3-333-3-3131-1-111311-1-1-1-1-33111-1-1-1111-1-1-1-3-1-1-1-1-1-10000001-11-111-1-1111-11-1-111-1-111000000000
χ31333333-3-33-3-3-3-333-1311-1-1-131111-1-1-3-3-1-1-1-1-1-11111113111111000000-111-1-1-11111-1-11-1-1-1-1-1-111000000000
χ32333333-3-33-3-3-3-333-1311-1-1-131111-1-1-3-3-1-1-1-1-1-11111113-1-1-1-1-1-10000001-1-1111-1-1-1-111-1111111-1-1000000000
χ3333−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3230333−3−3i32−3+3i320−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3200000000000000011−1−i32−1−i32−1+i32−1+i320000001111−1−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+i32000000000
χ3433−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3230333−3−3i32−3+3i320−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32000000000000000-1-11+i321+i321−i321−i32000000-1-1-1-11+i321−i321+i321−i321+i321−i32-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32000000000
χ3533−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-10-1-1-11+i321−i3201+i321−i321+i321−i321+i321−i32002−1−i3−1+i32−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3011−1−i32−1−i32−1+i32−1+i32000000-1-1-1-11+i321−i321+i321−i321+i321−i321111+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32000000000
χ3633−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-10-1-1-11+i321−i3201+i321−i321+i321−i321+i321−i32002−1−i3−1+i32−1−i3−1+i32−1−i3−1+i32−1−i3−1+i30-1-11+i321+i321−i321−i320000001111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1−1−i32−1+i321+i321−i321+i321−i321+i321−i32000000000
χ3733−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i3210-11-1−1−i32−1+i3201+i321−i32−1−i32−1+i321+i321−i3200-21+i31−i32−1−i3−1+i32−1−i3−1+i3-21+i31−i3011−1−i32−1−i32−1+i32−1+i32000000-1-1111+i321−i321+i321−i32−1−i32−1+i321-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32000000000
χ3833−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i3210-11-1−1−i32−1+i3201+i321−i32−1−i32−1+i321+i321−i3200-21+i31−i32−1−i3−1+i32−1−i3−1+i3-21+i31−i30-1-11+i321+i321−i321−i3200000011-1-1−1−i32−1+i32−1−i32−1+i321+i321−i32-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32000000000
χ3933−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-303-333+3i323−3i320−3−3i32−3+3i323+3i323−3i32−3−3i32−3+3i3200000000000000011−1−i32−1−i32−1+i32−1+i3200000011-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321-1-11+i321−i32−1−i32−1+i321+i321−i321+i321−i32000000000
χ4033−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-303-333+3i323−3i320−3−3i32−3+3i323+3i323−3i32−3−3i32−3+3i32000000000000000-1-11+i321+i321−i321−i32000000-1-1111+i321−i321+i321−i32−1−i32−1+i32-111−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1+i32000000000
χ4133−3−3i32−3+3i32−3−3i32−3+3i32-33-33+3i323−3i32−3−3i32−3+3i323+3i323−3i32101-1-1−1−i32−1+i320−1−i32−1+i321+i321−i321+i321−i3200-21+i31−i32−1−i3−1+i3-21+i31−i32−1−i3−1+i3011−1−i32−1−i32−1+i32−1+i32000000-11-111+i321−i32−1−i32−1+i321+i321−i32-11-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32000000000
χ4233−3−3i32−3+3i32−3−3i32−3+3i32-33-33+3i323−3i32−3−3i32−3+3i323+3i323−3i32101-1-1−1−i32−1+i320−1−i32−1+i321+i321−i321+i321−i3200-21+i31−i32−1−i3−1+i3-21+i31−i32−1−i3−1+i30-1-11+i321+i321−i321−i320000001-11-1−1−i32−1+i321+i321−i32−1−i32−1+i321-111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32000000000
χ4333−3−3i32−3+3i32−3−3i32−3+3i32-33-33+3i323−3i32−3−3i32−3+3i323+3i323−3i32-30-3333+3i323−3i3203+3i323−3i32−3−3i32−3+3i32−3−3i32−3+3i3200000000000000011−1−i32−1−i32−1+i32−1+i320000001-11-1−1−i32−1+i321+i321−i32−1−i32−1+i32-11-11+i321−i321+i321−i32−1−i32−1+i321+i321−i32000000000
χ4433−3−3i32−3+3i32−3−3i32−3+3i32-33-33+3i323−3i32−3−3i32−3+3i323+3i323−3i32-30-3333+3i323−3i3203+3i323−3i32−3−3i32−3+3i32−3−3i32−3+3i32000000000000000-1-11+i321+i321−i321−i32000000-11-111+i321−i32−1−i32−1+i321+i321−i321-11−1−i32−1+i32−1−i32−1+i321+i321−i32−1−i32−1+i32000000000
χ4533−3−3i32−3+3i32−3−3i32−3+3i32-3-333+3i323−3i323+3i323−3i32−3−3i32−3+3i3230-3-33−3−3i32−3+3i3203+3i323−3i323+3i323−3i32−3−3i32−3+3i3200000000000000011−1−i32−1−i32−1+i32−1+i320000001-1-11−1−i32−1+i321+i321−i321+i321−i32-1-11−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32000000000
χ4633−3−3i32−3+3i32−3−3i32−3+3i32-3-333+3i323−3i323+3i323−3i32−3−3i32−3+3i3230-3-33−3−3i32−3+3i3203+3i323−3i323+3i323−3i32−3−3i32−3+3i32000000000000000-1-11+i321+i321−i321−i32000000-111-11+i321−i32−1−i32−1+i32−1−i32−1+i3211-11+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32000000000
χ4733−3−3i32−3+3i32−3−3i32−3+3i32-3-333+3i323−3i323+3i323−3i32−3−3i32−3+3i32-1011-11+i321−i320−1−i32−1+i32−1−i32−1+i321+i321−i32002−1−i3−1+i32−1−i3−1+i3-21+i31−i3-21+i31−i3011−1−i32−1−i32−1+i32−1+i32000000-111-11+i321−i32−1−i32−1+i32−1−i32−1+i32-1-111+i321−i321+i321−i321+i321−i32−1−i32−1+i32000000000
χ4833−3−3i32−3+3i32−3−3i32−3+3i32-3-333+3i323−3i323+3i323−3i32−3−3i32−3+3i32-1011-11+i321−i320−1−i32−1+i32−1−i32−1+i321+i321−i32002−1−i3−1+i32−1−i3−1+i3-21+i31−i3-21+i31−i30-1-11+i321+i321−i321−i320000001-1-11−1−i32−1+i321+i321−i321+i321−i3211-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i32000000000
χ4933−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3230333−3+3i32−3−3i320−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3200000000000000011−1+i32−1+i32−1−i32−1−i320000001111−1+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−i32000000000
χ5033−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3230333−3+3i32−3−3i320−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32000000000000000-1-11−i321−i321+i321+i32000000-1-1-1-11−i321+i321−i321+i321−i321+i32-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32000000000
χ5133−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-10-1-1-11−i321+i3201−i321+i321−i321+i321−i321+i32002−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3011−1+i32−1+i32−1−i32−1−i32000000-1-1-1-11−i321+i321−i321+i321−i321+i321111−i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32000000000
χ5233−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-10-1-1-11−i321+i3201−i321+i321−i321+i321−i321+i32002−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i30-1-11−i321−i321+i321+i320000001111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1−1+i32−1−i321−i321+i321−i321+i321−i321+i32000000000
χ5333−3+3i32−3−3i32−3+3i32−3−3i323-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i3210-11-1−1+i32−1−i3201−i321+i32−1+i32−1−i321−i321+i3200-21−i31+i32−1+i3−1−i32−1+i3−1−i3-21−i31+i3011−1+i32−1+i32−1−i32−1−i32000000-1-1111−i321+i321−i321+i32−1+i32−1−i321-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32000000000
χ5433−3+3i32−3−3i32−3+3i32−3−3i323-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i3210-11-1−1+i32−1−i3201−i321+i32−1+i32−1−i321−i321+i3200-21−i31+i32−1+i3−1−i32−1+i3−1−i3-21−i31+i30-1-11−i321−i321+i321+i3200000011-1-1−1+i32−1−i32−1+i32−1−i321−i321+i32-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32000000000
χ5533−3+3i32−3−3i32−3+3i32−3−3i323-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i32-303-333−3i323+3i320−3+3i32−3−3i323−3i323+3i32−3+3i32−3−3i3200000000000000011−1+i32−1+i32−1−i32−1−i3200000011-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321-1-11−i321+i32−1+i32−1−i321−i321+i321−i321+i32000000000
χ5633−3+3i32−3−3i32−3+3i32−3−3i323-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i32-303-333−3i323+3i320−3+3i32−3−3i323−3i323+3i32−3+3i32−3−3i32000000000000000-1-11−i321−i321+i321+i32000000-1-1111−i321+i321−i321+i32−1+i32−1−i32-111−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1−i32000000000
χ5733−3+3i32−3−3i32−3+3i32−3−3i32-33-33−3i323+3i32−3+3i32−3−3i323−3i323+3i32101-1-1−1+i32−1−i320−1+i32−1−i321−i321+i321−i321+i3200-21−i31+i32−1+i3−1−i3-21−i31+i32−1+i3−1−i3011−1+i32−1+i32−1−i32−1−i32000000-11-111−i321+i32−1+i32−1−i321−i321+i32-11-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32000000000
χ5833−3+3i32−3−3i32−3+3i32−3−3i32-33-33−3i323+3i32−3+3i32−3−3i323−3i323+3i32101-1-1−1+i32−1−i320−1+i32−1−i321−i321+i321−i321+i3200-21−i31+i32−1+i3−1−i3-21−i31+i32−1+i3−1−i30-1-11−i321−i321+i321+i320000001-11-1−1+i32−1−i321−i321+i32−1+i32−1−i321-111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32000000000
χ5933−3+3i32−3−3i32−3+3i32−3−3i32-33-33−3i323+3i32−3+3i32−3−3i323−3i323+3i32-30-3333−3i323+3i3203−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i3200000000000000011−1+i32−1+i32−1−i32−1−i320000001-11-1−1+i32−1−i321−i321+i32−1+i32−1−i32-11-11−i321+i321−i321+i32−1+i32−1−i321−i321+i32000000000
χ6033−3+3i32−3−3i32−3+3i32−3−3i32-33-33−3i323+3i32−3+3i32−3−3i323−3i323+3i32-30-3333−3i323+3i3203−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i32000000000000000-1-11−i321−i321+i321+i32000000-11-111−i321+i32−1+i32−1−i321−i321+i321-11−1+i32−1−i32−1+i32−1−i321−i321+i32−1+i32−1−i32000000000
χ6133−3+3i32−3−3i32−3+3i32−3−3i32-3-333−3i323+3i323−3i323+3i32−3+3i32−3−3i3230-3-33−3+3i32−3−3i3203−3i323+3i323−3i323+3i32−3+3i32−3−3i3200000000000000011−1+i32−1+i32−1−i32−1−i320000001-1-11−1+i32−1−i321−i321+i321−i321+i32-1-11−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32000000000
χ6233−3+3i32−3−3i32−3+3i32−3−3i32-3-333−3i323+3i323−3i323+3i32−3+3i32−3−3i3230-3-33−3+3i32−3−3i3203−3i323+3i323−3i323+3i32−3+3i32−3−3i32000000000000000-1-11−i321−i321+i321+i32000000-111-11−i321+i32−1+i32−1−i32−1+i32−1−i3211-11−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32000000000
χ6333−3+3i32−3−3i32−3+3i32−3−3i32-3-333−3i323+3i323−3i323+3i32−3+3i32−3−3i32-1011-11−i321+i320−1+i32−1−i32−1+i32−1−i321−i321+i32002−1+i3−1−i32−1+i3−1−i3-21−i31+i3-21−i31+i3011−1+i32−1+i32−1−i32−1−i32000000-111-11−i321+i32−1+i32−1−i32−1+i32−1−i32-1-111−i321+i321−i321+i321−i321+i32−1+i32−1−i32000000000
χ6433−3+3i32−3−3i32−3+3i32−3−3i32-3-333−3i323+3i323−3i323+3i32−3+3i32−3−3i32-1011-11−i321+i320−1+i32−1−i32−1+i32−1−i321−i321+i32002−1+i3−1−i32−1+i3−1−i3-21−i31+i3-21−i31+i30-1-11−i321−i321+i321+i320000001-1-11−1+i32−1−i321−i321+i321−i321+i3211-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i32000000000
χ654-444-4-40000000000400000-4000000000000000000000−2i22i2−2i22i2−2i22i2-2-2-2222000000000000000000000000000000
χ664-444-4-40000000000400000-40000000000000000000002i2−2i22i2−2i22i2−2i2-2-2-2222000000000000000000000000000000
χ67666666666666666-2-3-2-2-2-2-2-3-2-2-2-2-2-2-3-3111111111111-3000000000000000000000000000000000000000000
χ686666666-6-666-6-6-6-62-3-22-222-3-2-222-2-2-33-1-1-1111111-1-1-13000000000000000000000000000000000000000000
χ69666666-66-6-6-666-6-62-32-2-222-322-2-2-2-23-3-1-1-1111-1-1-11113000000000000000000000000000000000000000000
χ70666666-6-66-6-6-6-666-2-322-2-2-2-32222-2-233111111-1-1-1-1-1-1-3000000000000000000000000000000000000000000
χ7166−3−3i3−3+3i3−3−3i3−3+3i3666−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3-20-2-2-21+i31−i301+i31−i31+i31−i31+i31−i300-21+i31−i3-21+i31−i3-21+i31−i3-21+i31−i30000000000000000000000000000000000000000000
χ7266−3−3i3−3+3i3−3−3i3−3+3i36-6-6−3−3i3−3+3i33+3i33−3i33+3i33−3i320-22-2−1−i3−1+i301+i31−i3−1−i3−1+i31+i31−i3002−1−i3−1+i3-21+i31−i3-21+i31−i32−1−i3−1+i30000000000000000000000000000000000000000000
χ7366−3−3i3−3+3i3−3−3i3−3+3i3-66-63+3i33−3i3−3−3i3−3+3i33+3i33−3i3202-2-2−1−i3−1+i30−1−i3−1+i31+i31−i31+i31−i3002−1−i3−1+i3-21+i31−i32−1−i3−1+i3-21+i31−i30000000000000000000000000000000000000000000
χ7466−3−3i3−3+3i3−3−3i3−3+3i3-6-663+3i33−3i33+3i33−3i3−3−3i3−3+3i3-2022-21+i31−i30−1−i3−1+i3−1−i3−1+i31+i31−i300-21+i31−i3-21+i31−i32−1−i3−1+i32−1−i3−1+i30000000000000000000000000000000000000000000
χ7566−3+3i3−3−3i3−3+3i3−3−3i3666−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3-20-2-2-21−i31+i301−i31+i31−i31+i31−i31+i300-21−i31+i3-21−i31+i3-21−i31+i3-21−i31+i30000000000000000000000000000000000000000000
χ7666−3+3i3−3−3i3−3+3i3−3−3i36-6-6−3+3i3−3−3i33−3i33+3i33−3i33+3i320-22-2−1+i3−1−i301−i31+i3−1+i3−1−i31−i31+i3002−1+i3−1−i3-21−i31+i3-21−i31+i32−1+i3−1−i30000000000000000000000000000000000000000000
χ7766−3+3i3−3−3i3−3+3i3−3−3i3-66-63−3i33+3i3−3+3i3−3−3i33−3i33+3i3202-2-2−1+i3−1−i30−1+i3−1−i31−i31+i31−i31+i3002−1+i3−1−i3-21−i31+i32−1+i3−1−i3-21−i31+i30000000000000000000000000000000000000000000
χ7866−3+3i3−3−3i3−3+3i3−3−3i3-6-663−3i33+3i33−3i33+3i3−3+3i3−3−3i3-2022-21−i31+i30−1+i3−1−i3−1+i3−1−i31−i31+i300-21−i31+i3-21−i31+i32−1+i3−1−i32−1+i3−1−i30000000000000000000000000000000000000000000
χ798-888-8-80000000000800000-8000000000000000000000000000222-2-2-2000000000000000000000000000000
χ808-888-8-80000000000-400000400000000000000000000000000022-4-2-24000000000000000000000000000000
χ818-888-8-80000000000-40000040000000000000000000000000002-42-24-2000000000000000000000000000000
χ828-888-8-80000000000-4000004000000000000000000000000000-4224-2-2000000000000000000000000000000
χ8312-12−6−6i3−6+6i36+6i36−6i300000000000000000000000000000000000000−2i22i22ζ7+2ζ13−2ζ7−2ζ132ζ5+2ζ23−2ζ5−2ζ23000000000000000000000000000000000000
χ8412-12−6−6i3−6+6i36+6i36−6i3000000000000000000000000000000000000002i2−2i2−2ζ7−2ζ132ζ7+2ζ13−2ζ5−2ζ232ζ5+2ζ23000000000000000000000000000000000000
χ8512-12−6+6i3−6−6i36−6i36+6i300000000000000000000000000000000000000−2i22i22ζ5+2ζ23−2ζ5−2ζ232ζ7+2ζ13−2ζ7−2ζ13000000000000000000000000000000000000
χ8612-12−6+6i3−6−6i36−6i36+6i3000000000000000000000000000000000000002i2−2i2−2ζ5−2ζ232ζ5+2ζ23−2ζ7−2ζ132ζ7+2ζ13000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.