Finite Group Databasebeta

← Group #14517618

Character table — Group #14517618

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97
size1122222333333333333333366666666181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818545454545454545454545454545454545454
order12346121233333333666666661212121212121212333666999999999121212121212181818181818181818363636363636363636363636363636363636226666666666666666
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111−1−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+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1−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+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ4111111111−1−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+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1−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+i32−1+i32-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32
χ5111111111−1+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−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1+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−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ6111111111−1+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−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1+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−i32−1−i32-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32
χ7111-11-1-11111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1111-1-1-1111-1-1-1
χ8111-11-1-11111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1111-1-1-1111
χ9111-11-1-111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321+i321+i321−i321−i321−i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321+i321−i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321-111-1-1−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i32
χ10111-11-1-111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321+i321+i321−i321−i321−i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321+i321−i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32-11-1-1111+i321+i321+i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i32
χ11111-11-1-111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321−i321−i321+i321+i321+i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321−i321+i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321-111-1-1−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i32
χ12111-11-1-111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321−i321−i321+i321+i321+i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321−i321+i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32-11-1-1111−i321−i321−i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i32
χ132222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ142222222222222222222222222222222-1-1-1-1-1-12-1-12-1-12-1-1-1-1-1-1-1-12-1-12-1-12-1-122-1-1-1-122-1-1-1-122-1-1-1-1000000000000000000
χ152222222222222222222222222222222-1-1-1-1-1-1-12-1-12-1-12-1-1-1-1-1-1-1-12-1-12-1-12-1-1-122-1-1-1-122-1-1-1-122-1-1000000000000000000
χ162222222222222222222222222222222-1-1-1-1-1-1-1-12-1-12-1-12-1-1-1-1-1-1-1-12-1-12-1-12-1-1-1-122-1-1-1-122-1-1-1-122000000000000000000
χ17222222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32−1−i3−1+i32−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i3222−1−i3−1−i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32000000000000000000
χ18222222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-11+i321−i32-11+i321−i322-1-1−1−i31+i321+i32−1+i31−i321−i32-1-11+i321+i321−i321−i322-1-1−1−i31+i321+i32−1+i31−i321−i3222-1-1-1-1−1−i3−1−i31+i321+i321+i321+i32−1+i3−1+i31−i321−i321−i321−i32000000000000000000
χ19222222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-11+i321−i32-11+i321−i32-12-11+i32−1−i31+i321−i32−1+i31−i32-1-11+i321+i321−i321−i32-12-11+i32−1−i31+i321−i32−1+i31−i32-1-122-1-11+i321+i32−1−i3−1−i31+i321+i321−i321−i32−1+i3−1+i31−i321−i32000000000000000000
χ20222222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-11+i321−i32-11+i321−i32-1-121+i321+i32−1−i31−i321−i32−1+i3-1-11+i321+i321−i321−i32-1-121+i321+i32−1−i31−i321−i32−1+i3-1-1-1-1221+i321+i321+i321+i32−1−i3−1−i31−i321−i321−i321−i32−1+i3−1+i3000000000000000000
χ21222222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32−1+i3−1−i32−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i3222−1+i3−1+i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32000000000000000000
χ22222222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-11−i321+i32-11−i321+i322-1-1−1+i31−i321−i32−1−i31+i321+i32-1-11−i321−i321+i321+i322-1-1−1+i31−i321−i32−1−i31+i321+i3222-1-1-1-1−1+i3−1+i31−i321−i321−i321−i32−1−i3−1−i31+i321+i321+i321+i32000000000000000000
χ23222222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-11−i321+i32-11−i321+i32-12-11−i32−1+i31−i321+i32−1−i31+i32-1-11−i321−i321+i321+i32-12-11−i32−1+i31−i321+i32−1−i31+i32-1-122-1-11−i321−i32−1+i3−1+i31−i321−i321+i321+i32−1−i3−1−i31+i321+i32000000000000000000
χ24222222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-11−i321+i32-11−i321+i32-1-121−i321−i32−1+i31+i321+i32−1−i3-1-11−i321−i321+i321+i32-1-121−i321−i32−1+i31+i321+i32−1−i3-1-1-1-1221−i321−i321−i321−i32−1+i3−1+i31+i321+i321+i321+i32−1−i3−1−i3000000000000000000
χ25222-22-2-22222222222222222-2-2-2-2-2-2-2-2222222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1111111111111111111000000000000000000
χ26222-22-2-22222222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-12-1-12-1-12-1-11111112-1-12-1-12-1-1-2-21111-2-21111-2-21111000000000000000000
χ27222-22-2-22222222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-12-1-12-1-12-1111111-12-1-12-1-12-111-2-21111-2-21111-2-211000000000000000000
χ28222-22-2-22222222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-12-1-12-1-12111111-1-12-1-12-1-121111-2-21111-2-21111-2-2000000000000000000
χ29222-22-2-222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-2-21+i31+i31+i31−i31−i31−i32−1−i3−1+i32−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-2-21+i31+i31−i31−i3-1-1-11+i321+i321+i321−i321−i321−i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000000000000
χ30222-22-2-222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-2-21+i31+i31+i31−i31−i31−i3-11+i321−i32-11+i321−i322-1-1−1−i31+i321+i32−1+i31−i321−i3211−1−i32−1−i32−1+i32−1+i322-1-1−1−i31+i321+i32−1+i31−i321−i32-2-211111+i31+i3−1−i32−1−i32−1−i32−1−i321−i31−i3−1+i32−1+i32−1+i32−1+i32000000000000000000
χ31222-22-2-222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-2-21+i31+i31+i31−i31−i31−i3-11+i321−i32-11+i321−i32-12-11+i32−1−i31+i321−i32−1+i31−i3211−1−i32−1−i32−1+i32−1+i32-12-11+i32−1−i31+i321−i32−1+i31−i3211-2-211−1−i32−1−i321+i31+i3−1−i32−1−i32−1+i32−1+i321−i31−i3−1+i32−1+i32000000000000000000
χ32222-22-2-222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-2-21+i31+i31+i31−i31−i31−i3-11+i321−i32-11+i321−i32-1-121+i321+i32−1−i31−i321−i32−1+i311−1−i32−1−i32−1+i32−1+i32-1-121+i321+i32−1−i31−i321−i32−1+i31111-2-2−1−i32−1−i32−1−i32−1−i321+i31+i3−1+i32−1+i32−1+i32−1+i321−i31−i3000000000000000000
χ33222-22-2-222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-2-21−i31−i31−i31+i31+i31+i32−1+i3−1−i32−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-2-21−i31−i31+i31+i3-1-1-11−i321−i321−i321+i321+i321+i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000000000000000
χ34222-22-2-222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-2-21−i31−i31−i31+i31+i31+i3-11−i321+i32-11−i321+i322-1-1−1+i31−i321−i32−1−i31+i321+i3211−1+i32−1+i32−1−i32−1−i322-1-1−1+i31−i321−i32−1−i31+i321+i32-2-211111−i31−i3−1+i32−1+i32−1+i32−1+i321+i31+i3−1−i32−1−i32−1−i32−1−i32000000000000000000
χ35222-22-2-222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-2-21−i31−i31−i31+i31+i31+i3-11−i321+i32-11−i321+i32-12-11−i32−1+i31−i321+i32−1−i31+i3211−1+i32−1+i32−1−i32−1−i32-12-11−i32−1+i31−i321+i32−1−i31+i3211-2-211−1+i32−1+i321−i31−i3−1+i32−1+i32−1−i32−1−i321+i31+i3−1−i32−1−i32000000000000000000
χ36222-22-2-222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-2-21−i31−i31−i31+i31+i31+i3-11−i321+i32-11−i321+i32-1-121−i321−i32−1+i31+i321+i32−1−i311−1+i32−1+i32−1−i32−1−i32-1-121−i321−i32−1+i31+i321+i32−1−i31111-2-2−1+i32−1+i32−1+i32−1+i321−i31−i3−1−i32−1−i32−1−i32−1−i321+i31+i3000000000000000000
χ372-220-20022222222-2-2-2-2-2-2-2-200000000222-2-2-2222222222000000-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ382-220-20022222222-2-2-2-2-2-2-2-200000000222-2-2-2-1-1-1-1-1-1-1-1-10000001111111113−33−33−33−33−33−33−33−33−3000000000000000000
χ392-220-20022222222-2-2-2-2-2-2-2-200000000222-2-2-2-1-1-1-1-1-1-1-1-1000000111111111−33−33−33−33−33−33−33−33−33000000000000000000
χ402-220-20022222222-2-2-2-2-2-2-2-200000000-1-1-11112-1-12-1-12-1-13−33−33−3-211-211-211003−3−33003−3−33003−3−33000000000000000000
χ412-220-20022222222-2-2-2-2-2-2-2-200000000-1-1-11112-1-12-1-12-1-1−33−33−33-211-211-21100−333−300−333−300−333−3000000000000000000
χ422-220-20022222222-2-2-2-2-2-2-2-200000000-1-1-1111-12-1-12-1-12-13−33−33−31-211-211-21−33003−3−33003−3−33003−3000000000000000000
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χ896-660-600−3−3i3−3+3i3−3−3i3−3+3i36−3+3i36−3−3i33+3i33−3i33+3i33−3i3-63−3i3-63+3i300000000000000000000000000000000000000000000000000000000000000000000000000
χ906-660-600−3−3i3−3+3i3−3+3i36−3−3i3−3−3i3−3+3i363+3i33−3i33−3i3-63+3i33+3i33−3i3-600000000000000000000000000000000000000000000000000000000000000000000000000
χ916-660-600−3+3i3−3−3i36−3+3i3−3−3i36−3+3i3−3−3i33−3i33+3i3-63−3i33+3i3-63−3i33+3i300000000000000000000000000000000000000000000000000000000000000000000000000
χ926-660-600−3+3i3−3−3i3−3−3i36−3+3i3−3+3i3−3−3i363−3i33+3i33+3i3-63−3i33−3i33+3i3-600000000000000000000000000000000000000000000000000000000000000000000000000
χ936-660-600−3+3i3−3−3i3−3+3i3−3−3i36−3−3i36−3+3i33−3i33+3i33−3i33+3i3-63+3i3-63−3i300000000000000000000000000000000000000000000000000000000000000000000000000
χ941818-918-9-9-9000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ951818-9-18-999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9618-18-90993−93000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9718-18-909−9393000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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