Finite Group Databasebeta

← Group #72244449

Character table — Group #72244449

Order 2916.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1116666999999181818181818181818181818545454545454545481818181818181818111166669999991818181818181818181818185454545454545454818181818181818181
order13333333333333333333333339999999926666666626666666666666666666666661818181818181818266666666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ31111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ41111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321+i321+i321+i321111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321+i321+i321+i32
χ51111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ61111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-11+i321+i321+i321−i321−i321−i321111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-11+i321+i321+i321−i321−i321−i32
χ72222222222222222-1-1-1-1-1-1-1-1-12-1-1-12-1-1-10000000002222222222222222-1-1-1-1-1-1-1-1-12-1-1-12-1-1-1000000000
χ82222222222222-1-1-1222-1-1-1-1-1-1-12-1-1-12-1-10000000002222222222222-1-1-1222-1-1-1-1-1-1-12-1-1-12-1-1000000000
χ92222222222222-1-1-1-1-1-1222-1-1-1-1-12-1-1-12-10000000002222222222222-1-1-1-1-1-1222-1-1-1-1-12-1-1-12-1000000000
χ102222222222222-1-1-1-1-1-1-1-1-1222-1-1-12-1-1-120000000002222222222222-1-1-1-1-1-1-1-1-1222-1-1-12-1-1-12000000000
χ112222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222-1-1-1-1-1-1-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i320000000002222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222-1-1-1-1-1-1-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i32000000000
χ122222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1222-1-1-1-1-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i320000000002222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1222-1-1-1-1-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i32000000000
χ132222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-1-1222-1-1-11−i321−i32−1+i31−i321+i321+i32−1−i31+i320000000002222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-1-1222-1-1-11−i321−i32−1+i31−i321+i321+i32−1−i31+i32000000000
χ142222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-1-1-1-1-12221−i321−i321−i32−1+i31+i321+i321+i32−1−i30000000002222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-1-1-1-1-12221−i321−i321−i32−1+i31+i321+i321+i32−1−i3000000000
χ152222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222-1-1-1-1-1-1-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i320000000002222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222-1-1-1-1-1-1-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i32000000000
χ162222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1222-1-1-1-1-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i320000000002222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1222-1-1-1-1-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i32000000000
χ172222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-1-1222-1-1-11+i321+i32−1−i31+i321−i321−i32−1+i31−i320000000002222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-1-1222-1-1-11+i321+i32−1−i31+i321−i321−i32−1+i31−i32000000000
χ182222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-1-1-1-1-12221+i321+i321+i32−1−i31−i321−i321−i32−1+i30000000002222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-1-1-1-1-12221+i321+i321+i32−1−i31−i321−i321−i32−1+i3000000000
χ196666-3-3-30000000000000006-3-3000000000000000006666-3-3-30000000000000006-3-300000000000000000
χ206666-3-3-3000000000000000-36-3000000000000000006666-3-3-3000000000000000-36-300000000000000000
χ216666-3-3-3000000000000000-3-36000000000000000006666-3-3-3000000000000000-3-3600000000000000000
χ22666-36-3-30000000000006-3-300000000000000000000666-36-3-30000000000006-3-300000000000000000000
χ23666-36-3-3000000000000-36-300000000000000000000666-36-3-3000000000000-36-300000000000000000000
χ24666-36-3-3000000000000-3-3600000000000000000000666-36-3-3000000000000-3-3600000000000000000000
χ25666-3-36-30000000006-3-300000000000000000000000666-3-36-30000000006-3-300000000000000000000000
χ26666-3-36-3000000000-36-300000000000000000000000666-3-36-3000000000-36-300000000000000000000000
χ27666-3-36-3000000000-3-3600000000000000000000000666-3-36-3000000000-3-3600000000000000000000000
χ28666-3-3-360000006-3-300000000000000000000000000666-3-3-360000006-3-300000000000000000000000000
χ29666-3-3-36000000-36-300000000000000000000000000666-3-3-36000000-36-300000000000000000000000000
χ30666-3-3-36000000-3-3600000000000000000000000000666-3-3-36000000-3-3600000000000000000000000000
χ319−9+9i32−9−9i320000-33−3i323+3i32-33−3i323+3i32000000000000000000001−1+i32−1−i321−1+i32−1−i321−1+i32−1−i329−9+9i32−9−9i320000-33−3i323+3i32-33−3i323+3i32000000000000000000001−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ329−9+9i32−9−9i320000-33−3i323+3i32-33−3i323+3i3200000000000000000000-11−i321+i32-11−i321+i32-11−i321+i329−9+9i32−9−9i320000-33−3i323+3i32-33−3i323+3i3200000000000000000000-11−i321+i32-11−i321+i32-11−i321+i32
χ339−9+9i32−9−9i3200003−3i323+3i32-33+3i32-33−3i32000000000000000000001−1+i32−1−i32−1+i32−1−i321−1−i321−1+i329−9+9i32−9−9i3200003−3i323+3i32-33+3i32-33−3i32000000000000000000001−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32
χ349−9+9i32−9−9i3200003−3i323+3i32-33+3i32-33−3i3200000000000000000000-11−i321+i321−i321+i32-11+i32-11−i329−9+9i32−9−9i3200003−3i323+3i32-33+3i32-33−3i3200000000000000000000-11−i321+i321−i321+i32-11+i32-11−i32
χ359−9+9i32−9−9i3200003+3i32-33−3i323−3i323+3i32-3000000000000000000001−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3219−9+9i32−9−9i3200003+3i32-33−3i323−3i323+3i32-3000000000000000000001−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321
χ369−9+9i32−9−9i3200003+3i32-33−3i323−3i323+3i32-300000000000000000000-11−i321+i321+i32-11−i321−i321+i32-19−9+9i32−9−9i3200003+3i32-33−3i323−3i323+3i32-300000000000000000000-11−i321+i321+i32-11−i321−i321+i32-1
χ379−9−9i32−9+9i320000-33+3i323−3i32-33+3i323−3i32000000000000000000001−1−i32−1+i321−1−i32−1+i321−1−i32−1+i329−9−9i32−9+9i320000-33+3i323−3i32-33+3i323−3i32000000000000000000001−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ389−9−9i32−9+9i320000-33+3i323−3i32-33+3i323−3i3200000000000000000000-11+i321−i32-11+i321−i32-11+i321−i329−9−9i32−9+9i320000-33+3i323−3i32-33+3i323−3i3200000000000000000000-11+i321−i32-11+i321−i32-11+i321−i32
χ399−9−9i32−9+9i3200003−3i32-33+3i323+3i323−3i32-3000000000000000000001−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3219−9−9i32−9+9i3200003−3i32-33+3i323+3i323−3i32-3000000000000000000001−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321
χ409−9−9i32−9+9i3200003−3i32-33+3i323+3i323−3i32-300000000000000000000-11+i321−i321−i32-11+i321+i321−i32-19−9−9i32−9+9i3200003−3i32-33+3i323+3i323−3i32-300000000000000000000-11+i321−i321−i32-11+i321+i321−i32-1
χ419−9−9i32−9+9i3200003+3i323−3i32-33−3i32-33+3i32000000000000000000001−1−i32−1+i32−1−i32−1+i321−1+i321−1−i329−9−9i32−9+9i3200003+3i323−3i32-33−3i32-33+3i32000000000000000000001−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32
χ429−9−9i32−9+9i3200003+3i323−3i32-33−3i32-33+3i3200000000000000000000-11+i321−i321+i321−i32-11−i32-11+i329−9−9i32−9+9i3200003+3i323−3i32-33−3i32-33+3i3200000000000000000000-11+i321−i321+i321−i32-11−i32-11+i32
χ43111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ44111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111
χ451111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-11−i321−i321−i321+i321+i321+i32-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i32
χ461111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321+i321+i321+i32-1-1-1-1-1-1-11−i321−i321−i321+i321+i321+i32-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ471111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-11+i321+i321+i321−i321−i321−i32-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i32
χ481111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-11+i321+i321+i321−i321−i321−i32-1-1-1-1-1-1-11+i321+i321+i321−i321−i321−i32-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ492222222222222222-1-1-1-1-1-1-1-1-12-1-1-12-1-1-1000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111-2111-2111000000000
χ502222222222222-1-1-1222-1-1-1-1-1-1-12-1-1-12-1-1000000000-2-2-2-2-2-2-2-2-2-2-2-2-2111-2-2-21111111-2111-211000000000
χ512222222222222-1-1-1-1-1-1222-1-1-1-1-12-1-1-12-1000000000-2-2-2-2-2-2-2-2-2-2-2-2-2111111-2-2-211111-2111-21000000000
χ522222222222222-1-1-1-1-1-1-1-1-1222-1-1-12-1-1-12000000000-2-2-2-2-2-2-2-2-2-2-2-2-2111111111-2-2-2111-2111-2000000000
χ532222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222-1-1-1-1-1-1-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i32000000000-2-2-2-2-2-2-21−i31−i31−i31+i31+i31+i3-2-2-21111111111−i3−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i32000000000
χ542222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1222-1-1-1-1-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i32000000000-2-2-2-2-2-2-21−i31−i31−i31+i31+i31+i3111-2-2-2111111−1+i321−i3−1+i32−1+i32−1−i321+i3−1−i32−1−i32000000000
χ552222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-1-1222-1-1-11−i321−i32−1+i31−i321+i321+i32−1−i31+i32000000000-2-2-2-2-2-2-21−i31−i31−i31+i31+i31+i3111111-2-2-2111−1+i32−1+i321−i3−1+i32−1−i32−1−i321+i3−1−i32000000000
χ562222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-1-1-1-1-12221−i321−i321−i32−1+i31+i321+i321+i32−1−i3000000000-2-2-2-2-2-2-21−i31−i31−i31+i31+i31+i3111111111-2-2-2−1+i32−1+i32−1+i321−i3−1−i32−1−i32−1−i321+i3000000000
χ572222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222-1-1-1-1-1-1-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i32000000000-2-2-2-2-2-2-21+i31+i31+i31−i31−i31−i3-2-2-21111111111+i3−1−i32−1−i32−1−i321−i3−1+i32−1+i32−1+i32000000000
χ582222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1222-1-1-1-1-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i32000000000-2-2-2-2-2-2-21+i31+i31+i31−i31−i31−i3111-2-2-2111111−1−i321+i3−1−i32−1−i32−1+i321−i3−1+i32−1+i32000000000
χ592222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-1-1222-1-1-11+i321+i32−1−i31+i321−i321−i32−1+i31−i32000000000-2-2-2-2-2-2-21+i31+i31+i31−i31−i31−i3111111-2-2-2111−1−i32−1−i321+i3−1−i32−1+i32−1+i321−i3−1+i32000000000
χ602222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-1-1-1-1-12221+i321+i321+i32−1−i31−i321−i321−i32−1+i3000000000-2-2-2-2-2-2-21+i31+i31+i31−i31−i31−i3111111111-2-2-2−1−i32−1−i32−1−i321+i3−1+i32−1+i32−1+i321−i3000000000
χ616666-3-3-30000000000000006-3-300000000000000000-6-6-6-6333000000000000000-63300000000000000000
χ626666-3-3-3000000000000000-36-300000000000000000-6-6-6-63330000000000000003-6300000000000000000
χ636666-3-3-3000000000000000-3-3600000000000000000-6-6-6-633300000000000000033-600000000000000000
χ64666-36-3-30000000000006-3-300000000000000000000-6-6-63-633000000000000-63300000000000000000000
χ65666-36-3-3000000000000-36-300000000000000000000-6-6-63-6330000000000003-6300000000000000000000
χ66666-36-3-3000000000000-3-3600000000000000000000-6-6-63-63300000000000033-600000000000000000000
χ67666-3-36-30000000006-3-300000000000000000000000-6-6-633-63000000000-63300000000000000000000000
χ68666-3-36-3000000000-36-300000000000000000000000-6-6-633-630000000003-6300000000000000000000000
χ69666-3-36-3000000000-3-3600000000000000000000000-6-6-633-6300000000033-600000000000000000000000
χ70666-3-3-360000006-3-300000000000000000000000000-6-6-6333-6000000-63300000000000000000000000000
χ71666-3-3-36000000-36-300000000000000000000000000-6-6-6333-60000003-6300000000000000000000000000
χ72666-3-3-36000000-3-3600000000000000000000000000-6-6-6333-600000033-600000000000000000000000000
χ739−9+9i32−9−9i320000-33−3i323+3i32-33−3i323+3i32000000000000000000001−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-99−9i329+9i3200003−3+3i32−3−3i323−3+3i32−3−3i3200000000000000000000-11−i321+i32-11−i321+i32-11−i321+i32
χ749−9+9i32−9−9i320000-33−3i323+3i32-33−3i323+3i3200000000000000000000-11−i321+i32-11−i321+i32-11−i321+i32-99−9i329+9i3200003−3+3i32−3−3i323−3+3i32−3−3i32000000000000000000001−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ759−9+9i32−9−9i3200003−3i323+3i32-33+3i32-33−3i32000000000000000000001−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32-99−9i329+9i320000−3+3i32−3−3i323−3−3i323−3+3i3200000000000000000000-11−i321+i321−i321+i32-11+i32-11−i32
χ769−9+9i32−9−9i3200003−3i323+3i32-33+3i32-33−3i3200000000000000000000-11−i321+i321−i321+i32-11+i32-11−i32-99−9i329+9i320000−3+3i32−3−3i323−3−3i323−3+3i32000000000000000000001−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32
χ779−9+9i32−9−9i3200003+3i32-33−3i323−3i323+3i32-3000000000000000000001−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321-99−9i329+9i320000−3−3i323−3+3i32−3+3i32−3−3i32300000000000000000000-11−i321+i321+i32-11−i321−i321+i32-1
χ789−9+9i32−9−9i3200003+3i32-33−3i323−3i323+3i32-300000000000000000000-11−i321+i321+i32-11−i321−i321+i32-1-99−9i329+9i320000−3−3i323−3+3i32−3+3i32−3−3i323000000000000000000001−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321
χ799−9−9i32−9+9i320000-33+3i323−3i32-33+3i323−3i32000000000000000000001−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-99+9i329−9i3200003−3−3i32−3+3i323−3−3i32−3+3i3200000000000000000000-11+i321−i32-11+i321−i32-11+i321−i32
χ809−9−9i32−9+9i320000-33+3i323−3i32-33+3i323−3i3200000000000000000000-11+i321−i32-11+i321−i32-11+i321−i32-99+9i329−9i3200003−3−3i32−3+3i323−3−3i32−3+3i32000000000000000000001−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ819−9−9i32−9+9i3200003−3i32-33+3i323+3i323−3i32-3000000000000000000001−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321-99+9i329−9i320000−3+3i323−3−3i32−3−3i32−3+3i32300000000000000000000-11+i321−i321−i32-11+i321+i321−i32-1
χ829−9−9i32−9+9i3200003−3i32-33+3i323+3i323−3i32-300000000000000000000-11+i321−i321−i32-11+i321+i321−i32-1-99+9i329−9i320000−3+3i323−3−3i32−3−3i32−3+3i323000000000000000000001−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321
χ839−9−9i32−9+9i3200003+3i323−3i32-33−3i32-33+3i32000000000000000000001−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32-99+9i329−9i320000−3−3i32−3+3i323−3+3i323−3−3i3200000000000000000000-11+i321−i321+i321−i32-11−i32-11+i32
χ849−9−9i32−9+9i3200003+3i323−3i32-33−3i32-33+3i3200000000000000000000-11+i321−i321+i321−i32-11−i32-11+i32-99+9i329−9i320000−3−3i32−3+3i323−3+3i323−3−3i32000000000000000000001−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32

Here i is the imaginary unit (i² = −1).