Finite Group Databasebeta

← Group #11792541

Character table — Group #11792541

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size111111112222222222224444444444444444888888888888121212121212121224242424111111112222222222224444444444444444888888888888121212121212121224242424111111112222222222224444444444444444888888888888121212121212121224242424
order1222222234444666666688881212121224242424242424242244666612121212444488882244366666663121212126666666242424241212121224242424242424246612126666121212121212121224242424661212366666663121212126666666242424241212121224242424242424246612126666121212121212121224242424661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1
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χ13222222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000000
χ13322222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122-2-2-1-1-1-11111000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32000000000000
χ13422222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2221111-1-1-1-1000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32000000000000
χ135222-22-2-2-220000222-2-2-2-2−i2−i2i2i20000−i2−i2−i2−i2i2i2i2i2000000000000002-2−i2−i2i2i20000−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i30000−1−i3−1−i3−1−i31+i31+i31+i31+i3ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ130000ζ7+ζ13ζ7+ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13−ζ7−ζ13−ζ7−ζ1300000000000000−1−i31+i3ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ130000−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i30000−1+i3−1+i3−1+i31−i31−i31−i31−i3ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ230000ζ5+ζ23ζ5+ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23−ζ5−ζ23−ζ5−ζ2300000000000000−1+i31−i3ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ230000
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χ137222-22-2-2-220000222-2-2-2-2i2i2−i2−i20000i2i2i2i2−i2−i2−i2−i2000000000000002-2i2i2−i2−i20000−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i30000−1−i3−1−i3−1−i31+i31+i31+i31+i3−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ130000−ζ7−ζ13−ζ7−ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13ζ7+ζ13ζ7+ζ1300000000000000−1−i31+i3−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ130000−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i30000−1+i3−1+i3−1+i31−i31−i31−i31−i3−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ230000−ζ5−ζ23−ζ5−ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23ζ5+ζ23ζ5+ζ2300000000000000−1+i31−i3−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ230000
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χ1754-44-4-44-44-200002-222-2-22000000006−66−6−66−66000000000000000000000000−2−2i32+2i3−2−2i32+2i32+2i3−2−2i32+2i3−2−2i31+i30000−1−i31+i3−1−i3−1−i31+i31+i3−1−i300000000−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ23000000000000000000000000−2+2i32−2i3−2+2i32−2i32−2i3−2+2i32−2i3−2+2i31−i30000−1+i31−i3−1+i3−1+i31−i31−i3−1+i300000000ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23000000000000000000000000
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χ1794-4-444-4-44-2000022-2-22-2200000000−666−6−666−6000000000000000000000000−2−2i32+2i32+2i3−2−2i3−2−2i32+2i32+2i3−2−2i31+i30000−1−i3−1−i31+i31+i3−1−i31+i3−1−i3000000002ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ23000000000000000000000000−2+2i32−2i32−2i3−2+2i3−2+2i32−2i32−2i3−2+2i31−i30000−1+i3−1+i31−i31−i3−1+i31−i3−1+i300000000−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23000000000000000000000000
χ1804-4-4-4444-4-24-4-4422-22-22-20000-22-2200000000000000000000000000000000−2−2i32+2i32+2i32+2i3−2−2i3−2−2i3−2−2i32+2i31+i3−2−2i32+2i32+2i3−2−2i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i300001+i3−1−i31+i3−1−i300000000000000000000000000000000−2+2i32−2i32−2i32−2i3−2+2i3−2+2i3−2+2i32−2i31−i3−2+2i32−2i32−2i3−2+2i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i300001−i3−1+i31−i3−1+i300000000000000000000000000000000

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