Finite Group Databasebeta

← Group #72243929

Character table — Group #72243929

Order 2916.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size12222336666666666666666691212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121818181827275454545454545454545454818181818181162162162162162162
order133333333333333333333333233333333333333333333333333333333333333333333333333366666666666666666226666666666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1111-1-1-1
χ4111111111111111111111111-1111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1111
χ511111−1+i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32111111111111111111−1+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−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−i321111−1+i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ611111−1+i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32111111111111111111−1+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−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−i321111−1+i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11−i321+i321−i321+i32-11−i321+i32-11−i321+i32
χ711111−1+i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-111111111111111111−1+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−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−i32-1-1-1-11−i321+i32-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32
χ811111−1+i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-111111111111111111−1+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−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−i32-1-1-1-11−i321+i32-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-111−i321+i32−1+i32−1−i32-11−i321+i321−1+i32−1−i32
χ911111−1−i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32111111111111111111−1−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+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+i321111−1−i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ1011111−1−i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32111111111111111111−1−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+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+i321111−1−i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11+i321−i321+i321−i32-11+i321−i32-11+i321−i32
χ1111111−1−i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-111111111111111111−1−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+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+i32-1-1-1-11+i321−i32-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32
χ1211111−1−i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-111111111111111111−1−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+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+i32-1-1-1-11+i321−i32-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-111+i321−i32−1−i32−1+i32-11+i321−i321−1−i32−1+i32
χ132222222222222222222-12-12-102222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000020022000-1-1-1
χ142222222222222222222-12-12-102222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-200-2-2000111
χ15222222222222222222-12-12-120-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-100000000000000000202200-1-1-1000
χ16222222222222222222-12-12-120-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-100000000000000000-20-2-200111000
χ172222222-1-1-12-1-1-12-1-1-122222222-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-1222222-1-1-12-1-1-12-1-1-1000000000000
χ182222222-1-1-12-1-1-12-1-1-1222222-22-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-1-2-2-2-2-2-2111-2111-2111000000000000
χ1922222−1+i3−1−i3222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i32-1−1+i31−i32−1−i31+i3202222-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−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+i32000000000000000000200−1+i3−1−i3000-11−i321+i32
χ2022222−1+i3−1−i3222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i32-1−1+i31−i32−1−i31+i3202222-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−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+i32000000000000000000-2001−i31+i30001−1+i32−1−i32
χ2122222−1+i3−1−i3222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3-121−i32−1+i31+i32−1−i30-1-1-1-12222-1-1-1-1-1-1-1-1-11−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i320000000000000000020−1+i3−1−i300-11−i321+i32000
χ2222222−1+i3−1−i3222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3-121−i32−1+i31+i32−1−i30-1-1-1-12222-1-1-1-1-1-1-1-1-11−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i3200000000000000000-201−i31+i3001−1+i32−1−i32000
χ2322222−1+i3−1−i3-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i3222−1+i3−1+i3−1−i3−1−i322-1-1-12-1-1-1222-1-1-1-1-1-1−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i322222−1+i3−1−i3-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i32000000000000
χ2422222−1+i3−1−i3-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i3222−1+i3−1+i3−1−i3−1−i3-22-1-1-12-1-1-1222-1-1-1-1-1-1−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32-2-2-2-21−i31+i31111−i3−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i32000000000000
χ2522222−1−i3−1+i3222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i32-1−1−i31+i32−1+i31−i3202222-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+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−i32000000000000000000200−1−i3−1+i3000-11+i321−i32
χ2622222−1−i3−1+i3222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i32-1−1−i31+i32−1+i31−i3202222-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+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−i32000000000000000000-2001+i31−i30001−1−i32−1+i32
χ2722222−1−i3−1+i3222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3-121+i32−1−i31−i32−1+i30-1-1-1-12222-1-1-1-1-1-1-1-1-11+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i320000000000000000020−1−i3−1+i300-11+i321−i32000
χ2822222−1−i3−1+i3222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3-121+i32−1−i31−i32−1+i30-1-1-1-12222-1-1-1-1-1-1-1-1-11+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i3200000000000000000-201+i31−i3001−1−i32−1+i32000
χ2922222−1−i3−1+i3-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i3222−1−i3−1−i3−1+i3−1+i322-1-1-12-1-1-1222-1-1-1-1-1-1−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i322222−1−i3−1+i3-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i32000000000000
χ3022222−1−i3−1+i3-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i3222−1−i3−1−i3−1+i3−1+i3-22-1-1-12-1-1-1222-1-1-1-1-1-1−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32-2-2-2-21+i31−i31111+i3−1−i32−1−i32−1−i321−i3−1+i32−1+i32−1+i32000000000000
χ3122-1-1-1222-1-1-12-1-1-12-1-12222222-12-1-1-12-1-12-1-122-1-1-1-1-12-1-1-12-1-12-1-122-1-1-1-1-12-1-1-12-1-12-1-122-1-1-1-12-1-1-1222-1-1-12-1-1-12-1-1000000000000
χ3222-1-1-1222-1-1-12-1-1-12-1-1222222-2-12-1-1-12-1-12-1-122-1-1-1-1-12-1-1-12-1-12-1-122-1-1-1-1-12-1-1-12-1-12-1-122-1-1-1-1-2111-2-2-2111-2111-211000000000000
χ3322-1-1-122-12-1-1-12-1-1-12-12222222-1-12-1-1-12-12-1-1-1-122-1-1-1-12-1-1-12-12-1-1-1-122-1-1-1-12-1-1-12-12-1-1-1-122-1-12-1-1-122-12-1-1-12-1-1-12-1000000000000
χ3422-1-1-122-12-1-1-12-1-1-12-1222222-2-1-12-1-1-12-12-1-1-1-122-1-1-1-12-1-1-12-12-1-1-1-122-1-1-1-12-1-1-12-12-1-1-1-122-1-1-2111-2-21-2111-2111-21000000000000
χ3522-1-1-122-1-12-1-1-12-1-1-122222222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12-1-1-122-1-1-1-1-1-1222-1-1-122-1-12-1-1-12-1-1-12000000000000
χ3622-1-1-122-1-12-1-1-12-1-1-12222222-2-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-2111-2-211-2111-2111-2000000000000
χ3722-1-1-1−1+i3−1−i32-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i3222−1+i3−1+i3−1−i3−1−i32-12-1-1-12-1-12-1-122-1-1-1-11−i32−1+i31−i321−i321−i32−1+i31−i321−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321+i32−1−i31+i321+i321+i32−1−i31+i321+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i322-1-1-1−1+i3−1−i32-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i32000000000000
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Here i is the imaginary unit (i² = −1).