Finite Group Databasebeta

← Group #14519200

Character table — Group #14519200

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91
size1113333333333366666666666699999999181818181818181818181818181824242424242424242424242424242424242424242424242424242454545454545454545454545454545454
order13323333333366333333333666666666662466666666661212333333333333333333333333333666666661212121212121212
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111111111-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111111−1+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−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ4111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1111111111−1+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−i32-1-11−i321−i321−i321+i321+i321+i32-1-11−i321−i321−i321+i321+i321+i32
χ5111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111111−1−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+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ6111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1111111111−1−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+i32-1-11+i321+i321+i321−i321−i321−i32-1-11+i321+i321+i321−i321−i321−i32
χ71111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+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−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ81111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-1-1-1−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-1111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321+i32-11−i321+i32-11−i321+i321−i321+i32-11−i321+i32-11−i321+i32
χ91111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i321111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32
χ101111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32-1-1-1-1−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32-1-1111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i321−i321+i321−i321+i32-11+i32-11−i321−i321+i321−i321+i32-11+i32-11−i32
χ111111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3211111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i32111111−1+i32−1+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−i32−1−i32−1−i32111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321
χ121111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321-1-1-1-1−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321-1-1111−1+i32−1+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−i32−1−i32−1−i321111−i321+i321+i32-11−i321−i321+i32-11−i321+i321+i32-11−i321−i321+i32-1
χ131111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−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+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ141111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-1-1-1−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-1111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321−i32-11+i321−i32-11+i321−i321+i321−i32-11+i321−i32-11+i321−i32
χ151111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3211111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i32111111−1−i32−1−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+i32−1+i32−1+i32111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321
χ161111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321-1-1-1-1−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321-1-1111−1−i32−1−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+i32−1+i32−1+i321111+i321−i321−i32-11+i321+i321−i32-11+i321−i321−i32-11+i321+i321−i32-1
χ171111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i321111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32
χ181111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32-1-1-1-1−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32-1-1111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i321+i321−i321+i321−i32-11−i32-11+i321+i321−i321+i321−i32-11−i32-11+i32
χ19222222222222222222222222222222222200002222222200-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2022222222222222-1-1-1-1-1-1-1-1-1-1-1-1222222220000-1-1-1-1-1-1-1-1002-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-10000000000000000
χ2122222222222222-1-1-1-1-1-1-1-1-1-1-1-1222222220000-1-1-1-1-1-1-1-100-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12-10000000000000000
χ2222222222222222-1-1-1-1-1-1-1-1-1-1-1-1222222220000-1-1-1-1-1-1-1-100-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-120000000000000000
χ23222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3000022−1+i3−1+i3−1+i3−1−i3−1−i3−1−i300-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i320000000000000000
χ24222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322-1-1-11−i321−i321−i321+i321+i321+i32-1-1-122−1+i3−1+i3−1+i3−1−i3−1−i3−1−i30000-1-11−i321−i321−i321+i321+i321+i32002-1-12-1-12-1-1−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321−i32−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321+i320000000000000000
χ25222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322-1-1-11−i321−i321−i321+i321+i321+i32-1-1-122−1+i3−1+i3−1+i3−1−i3−1−i3−1−i30000-1-11−i321−i321−i321+i321+i321+i3200-12-1-12-1-12-11−i32−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321+i32−1−i31+i321+i32−1−i31+i321+i32−1−i31+i320000000000000000
χ26222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322-1-1-11−i321−i321−i321+i321+i321+i32-1-1-122−1+i3−1+i3−1+i3−1−i3−1−i3−1−i30000-1-11−i321−i321−i321+i321+i321+i3200-1-12-1-12-1-121−i321−i32−1+i31−i321−i32−1+i31−i321−i32−1+i31+i321+i32−1−i31+i321+i32−1−i31+i321+i32−1−i30000000000000000
χ27222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3000022−1−i3−1−i3−1−i3−1+i3−1+i3−1+i300-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i320000000000000000
χ28222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322-1-1-11+i321+i321+i321−i321−i321−i32-1-1-122−1−i3−1−i3−1−i3−1+i3−1+i3−1+i30000-1-11+i321+i321+i321−i321−i321−i32002-1-12-1-12-1-1−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321+i32−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321−i320000000000000000
χ29222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322-1-1-11+i321+i321+i321−i321−i321−i32-1-1-122−1−i3−1−i3−1−i3−1+i3−1+i3−1+i30000-1-11+i321+i321+i321−i321−i321−i3200-12-1-12-1-12-11+i32−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321−i32−1+i31−i321−i32−1+i31−i321−i32−1+i31−i320000000000000000
χ30222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322-1-1-11+i321+i321+i321−i321−i321−i32-1-1-122−1−i3−1−i3−1−i3−1+i3−1+i3−1+i30000-1-11+i321+i321+i321−i321−i321−i3200-1-12-1-12-1-121+i321+i32−1−i31+i321+i32−1−i31+i321+i32−1−i31−i321−i32−1+i31−i321−i32−1+i31−i321−i32−1+i30000000000000000
χ312222−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3222−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3222−1+i3−1−i32−1+i3−1−i32−1+i3−1−i30000−1+i3−1−i32−1+i3−1−i32−1+i3−1−i300-1-1-11−i321−i321−i321+i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i320000000000000000
χ322222−1+i3−1−i32−1+i3−1−i32−1+i3−1−i322-11−i321+i32-11−i321+i32-11−i321+i32-1-1-1−1+i3−1−i32−1+i3−1−i32−1+i3−1−i300001−i321+i32-11−i321+i32-11−i321+i32002-1-1−1+i31−i321−i32−1−i31+i321+i322-1-1−1+i31−i321−i32−1−i31+i321+i322-1-1−1+i31−i321−i32−1−i31+i321+i320000000000000000
χ332222−1+i3−1−i32−1+i3−1−i32−1+i3−1−i322-11−i321+i32-11−i321+i32-11−i321+i32-1-1-1−1+i3−1−i32−1+i3−1−i32−1+i3−1−i300001−i321+i32-11−i321+i32-11−i321+i3200-12-11−i32−1+i31−i321+i32−1−i31+i32-12-11−i32−1+i31−i321+i32−1−i31+i32-12-11−i32−1+i31−i321+i32−1−i31+i320000000000000000
χ342222−1+i3−1−i32−1+i3−1−i32−1+i3−1−i322-11−i321+i32-11−i321+i32-11−i321+i32-1-1-1−1+i3−1−i32−1+i3−1−i32−1+i3−1−i300001−i321+i32-11−i321+i32-11−i321+i3200-1-121−i321−i32−1+i31+i321+i32−1−i3-1-121−i321−i32−1+i31+i321+i32−1−i3-1-121−i321−i32−1+i31+i321+i32−1−i30000000000000000
χ352222−1+i3−1−i3−1+i3−1−i32−1−i32−1+i3222−1+i3−1−i3−1+i3−1−i32−1−i32−1+i3222−1+i3−1−i3−1+i3−1−i32−1−i32−1+i30000−1+i3−1−i3−1+i3−1−i32−1−i32−1+i300-1-1-11−i321−i321−i321+i321+i321+i321−i321−i321−i321+i321+i321+i32-1-1-11+i321+i321+i32-1-1-11−i321−i321−i320000000000000000
χ362222−1+i3−1−i3−1+i3−1−i32−1−i32−1+i322-11−i321+i321−i321+i32-11+i32-11−i32-1-1-1−1+i3−1−i3−1+i3−1−i32−1−i32−1+i300001−i321+i321−i321+i32-11+i32-11−i32002-1-1−1+i31−i321−i32−1−i31+i321+i32−1+i31−i321−i32−1−i31+i321+i322-1-1−1−i31+i321+i322-1-1−1+i31−i321−i320000000000000000
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χ78666-2−3+3i3−3−3i3−3−3i36−3+3i3−3+3i3−3−3i36-2-2-33−3i323+3i323+3i32-33−3i323−3i323+3i32-31111−i31+i31+i3-21−i31−i31+i3-20000−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321000000000000000000000000000000000000000000000
χ79666-2−3−3i3−3+3i36−3−3i3−3+3i36−3−3i3−3+3i3-2-2-33+3i323−3i32-33+3i323−3i32-33+3i323−3i321111+i31−i3-21+i31−i3-21+i31−i30000−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32000000000000000000000000000000000000000000000
χ80666-2−3−3i3−3+3i3−3+3i36−3−3i3−3−3i3−3+3i36-2-2-33+3i323−3i323−3i32-33+3i323+3i323−3i32-31111+i31−i31−i3-21+i31+i31−i3-20000−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321000000000000000000000000000000000000000000000
χ81666-2−3−3i3−3+3i3−3−3i3−3+3i36−3+3i36−3−3i3-2-2-33+3i323−3i323+3i323−3i32-33−3i32-33+3i321111+i31−i31+i31−i3-21−i3-21+i30000−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32000000000000000000000000000000000000000000000
χ829−9+9i32−9−9i32900000000−9+9i32−9−9i320000000000000000000033−3+3i32−3−3i3200000000−3+3i32−3−3i320000000000000000000000000000000000000000000
χ839−9+9i32−9−9i32900000000−9+9i32−9−9i3200000000000000000000-3-33−3i323+3i32000000003−3i323+3i320000000000000000000000000000000000000000000
χ849−9+9i32−9−9i32-3000000003−3i323+3i320000000006−3+3i3−3−3i3000000003-3−3+3i32−3−3i32000000003−3i323+3i320000000000000000000000000000000000000000000
χ859−9+9i32−9−9i32-3000000003−3i323+3i320000000006−3+3i3−3−3i300000000-333−3i323+3i3200000000−3+3i32−3−3i320000000000000000000000000000000000000000000
χ869−9−9i32−9+9i32900000000−9−9i32−9+9i320000000000000000000033−3−3i32−3+3i3200000000−3−3i32−3+3i320000000000000000000000000000000000000000000
χ879−9−9i32−9+9i32900000000−9−9i32−9+9i3200000000000000000000-3-33+3i323−3i32000000003+3i323−3i320000000000000000000000000000000000000000000
χ889−9−9i32−9+9i32-3000000003+3i323−3i320000000006−3−3i3−3+3i3000000003-3−3−3i32−3+3i32000000003+3i323−3i320000000000000000000000000000000000000000000
χ899−9−9i32−9+9i32-3000000003+3i323−3i320000000006−3−3i3−3+3i300000000-333+3i323−3i3200000000−3−3i32−3+3i320000000000000000000000000000000000000000000
χ9018−9+9i3−9−9i3-6000000003−3i33+3i3000000000-63−3i33+3i300000000000000000000000000000000000000000000000000000000000000000
χ9118−9−9i3−9+9i3-6000000003+3i33−3i3000000000-63+3i33−3i300000000000000000000000000000000000000000000000000000000000000000

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