Finite Group Databasebeta

← Group #72268942

Character table — Group #72268942

Order 2592.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106
size11222223333336666666666666666666888888888888999918181818181818181818181818182424242424242424242424242424242424242424242424242424242424242424108108108108108108108108108108108108
order1223666223366266666699918181818181818181833366666666666666618181818181818181818181833666666999999181818181818181818181818181818181818244466121212121212
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111−1+i32−1−i32−1+i32−1−i3211111−1+i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321111−1+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−i32111111−1+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−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ4111111111−1+i32−1−i32−1+i32−1−i3211111−1+i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321111−1+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−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32
χ5111111111−1−i32−1+i32−1−i32−1+i3211111−1−i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321111−1−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+i32111111−1−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+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ6111111111−1−i32−1+i32−1−i32−1+i3211111−1−i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321111−1−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+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32
χ711-111-1-1111111-111-1-1-1-11111-1-11-1-11-1-1111111-1-1-1-1-1-11111-1-111-1-111-1-111-1-1111-1-11-1-111111111-1-1-1-111-1-1-1-111-1-1-1-11-11-111-1-11-11-1
χ811-111-1-1111111-111-1-1-1-11111-1-11-1-11-1-1111111-1-1-1-1-1-11111-1-111-1-111-1-111-1-1111-1-11-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-11-11-1-111-11-11
χ911-111-1-111−1+i32−1−i32−1+i32−1−i32-111-1-11−i321+i321−1+i32−1−i321-1-1−1+i321−i321−i32−1−i321+i321+i32111111-1-1-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i3211−1+i32−1+i32−1−i32−1−i3211-1-1-1-1−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i321-11-1−1+i32−1−i321−i321+i32−1+i321−i32−1−i321+i32
χ1011-111-1-111−1+i32−1−i32−1+i32−1−i32-111-1-11−i321+i321−1+i32−1−i321-1-1−1+i321−i321−i32−1−i321+i321+i32111111-1-1-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i3211−1+i32−1+i32−1−i32−1−i3211-1-1-1-1−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32-11-111−i321+i32−1+i32−1−i321−i32−1+i321+i32−1−i32
χ1111-111-1-111−1−i32−1+i32−1−i32−1+i32-111-1-11+i321−i321−1−i32−1+i321-1-1−1−i321+i321+i32−1+i321−i321−i32111111-1-1-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i3211−1−i32−1−i32−1+i32−1+i3211-1-1-1-1−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i321-11-1−1−i32−1+i321+i321−i32−1−i321+i32−1+i321−i32
χ1211-111-1-111−1−i32−1+i32−1−i32−1+i32-111-1-11+i321−i321−1−i32−1+i321-1-1−1−i321+i321+i32−1+i321−i321−i32111111-1-1-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i3211−1−i32−1−i32−1+i32−1+i3211-1-1-1-1−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32-11-111+i321−i32−1−i32−1+i321+i32−1−i321−i32−1+i32
χ1322222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ1422222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1222222222222222222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ1522222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-12-12-12-122-1-12-122-1-12-122-1-1000000000000
χ1622222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-12-12-12-1-122-12-1-122-12-1-122000000000000
χ17222222222−1+i3−1−i3−1+i3−1−i322222−1+i3−1−i32−1+i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1+i3−1−i3−1−i3−1+i3−1−i32222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i31−i321+i321−i321−i321−i321+i321+i321+i32-1-11−i321−i321+i321+i32-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32000000000000
χ18222222222−1+i3−1−i3−1+i3−1−i322222−1+i3−1−i3-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32222222222222−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-11−i321−i321+i321+i32-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32000000000000
χ19222222222−1+i3−1−i3−1+i3−1−i322222−1+i3−1−i3-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321+i321−i321−i321−i321+i321+i321+i322-1−1+i31−i32−1−i31+i322-122-1-1−1+i31−i32−1+i3−1+i31−i321−i32−1−i31+i32−1−i3−1−i31+i321+i32000000000000
χ20222222222−1+i3−1−i3−1+i3−1−i322222−1+i3−1−i3-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321+i321−i321−i321−i321+i321+i321+i32-121−i32−1+i31+i32−1−i3-12-1-1221−i32−1+i31−i321−i32−1+i3−1+i31+i32−1−i31+i321+i32−1−i3−1−i3000000000000
χ21222222222−1−i3−1+i3−1−i3−1+i322222−1−i3−1+i32−1−i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1−i3−1+i3−1+i3−1−i3−1+i32222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i31+i321−i321+i321+i321+i321−i321−i321−i32-1-11+i321+i321−i321−i32-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32000000000000
χ22222222222−1−i3−1+i3−1−i3−1+i322222−1−i3−1+i3-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32222222222222−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-11+i321+i321−i321−i32-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32000000000000
χ23222222222−1−i3−1+i3−1−i3−1+i322222−1−i3−1+i3-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321−i321+i321+i321+i321−i321−i321−i322-1−1−i31+i32−1+i31−i322-122-1-1−1−i31+i32−1−i3−1−i31+i321+i32−1+i31−i32−1+i3−1+i31−i321−i32000000000000
χ24222222222−1−i3−1+i3−1−i3−1+i322222−1−i3−1+i3-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321−i321+i321+i321+i321−i321−i321−i32-121+i32−1−i31−i32−1+i3-12-1-1221+i32−1−i31+i321+i32−1−i3−1−i31−i32−1+i31−i321−i32−1+i3−1+i3000000000000
χ2522-222-2-2222222-222-2-2-2-22222-2-22-2-22-2-2-1-1-1-1-1-11111112222-2-222-2-222-2-222-2-2-1-1-111-111-1-1-1-1-1-1-1-11111-1-11111-1-11111000000000000
χ2622-222-2-2222222-222-2-2-2-2-1-1-1-111-111-111222222-2-2-2-2-2-22222-2-2-1-111-1-111-1-111222-2-22-2-2-1-1-1-1-1-1-1-11111-1-11111-1-11111000000000000
χ2722-222-2-2222222-222-2-2-2-2-1-1-1-111-111-111-1-1-1-1-1-11111112222-2-2-1-111-1-111-1-111-1-1-111-1112-12-12-12-1-2-2112-1-2-2112-1-2-211000000000000
χ2822-222-2-2222222-222-2-2-2-2-1-1-1-111-111-111-1-1-1-1-1-11111112222-2-2-1-111-1-111-1-111-1-1-111-111-12-12-12-1211-2-2-1211-2-2-1211-2-2000000000000
χ2922-222-2-222−1+i3−1−i3−1+i3−1−i3-222-2-21−i31+i32−1+i3−1−i32-2-2−1+i31−i31−i3−1−i31+i31+i3-1-1-1-1-1-1111111−1+i3−1+i3−1−i3−1−i31−i31+i322-2-2−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i31−i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-1-111111−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1−i32−1−i32000000000000
χ3022-222-2-222−1+i3−1−i3−1+i3−1−i3-222-2-21−i31+i3-11−i321+i32-1111−i32−1+i32−1+i321+i32−1−i32−1−i32222222-2-2-2-2-2-2−1+i3−1+i3−1−i3−1−i31−i31+i3-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i3−1−i3−1+i31−i31−i3−1−i31+i31+i3-1-11−i321−i321+i321+i32-1-111111−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1−i32−1−i32000000000000
χ3122-222-2-222−1+i3−1−i3−1+i3−1−i3-222-2-21−i31+i3-11−i321+i32-1111−i32−1+i32−1+i321+i32−1−i32−1−i32-1-1-1-1-1-1111111−1+i3−1+i3−1−i3−1−i31−i31+i3-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i322-1−1+i31−i32−1−i31+i322-1-2-211−1+i31−i321−i31−i3−1+i32−1+i32−1−i31+i321+i31+i3−1−i32−1−i32000000000000
χ3222-222-2-222−1+i3−1−i3−1+i3−1−i3-222-2-21−i31+i3-11−i321+i32-1111−i32−1+i32−1+i321+i32−1−i32−1−i32-1-1-1-1-1-1111111−1+i3−1+i3−1−i3−1−i31−i31+i3-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i32-121−i32−1+i31+i32−1−i3-1211-2-21−i32−1+i3−1+i32−1+i321−i31−i31+i32−1−i3−1−i32−1−i321+i31+i3000000000000
χ3322-222-2-222−1−i3−1+i3−1−i3−1+i3-222-2-21+i31−i32−1−i3−1+i32-2-2−1−i31+i31+i3−1+i31−i31−i3-1-1-1-1-1-1111111−1−i3−1−i3−1+i3−1+i31+i31−i322-2-2−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i31+i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-1-111111+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1+i32−1+i32000000000000
χ3422-222-2-222−1−i3−1+i3−1−i3−1+i3-222-2-21+i31−i3-11+i321−i32-1111+i32−1−i32−1−i321−i32−1+i32−1+i32222222-2-2-2-2-2-2−1−i3−1−i3−1+i3−1+i31+i31−i3-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i3−1+i3−1−i31+i31+i3−1+i31−i31−i3-1-11+i321+i321−i321−i32-1-111111+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1+i32−1+i32000000000000
χ3522-222-2-222−1−i3−1+i3−1−i3−1+i3-222-2-21+i31−i3-11+i321−i32-1111+i32−1−i32−1−i321−i32−1+i32−1+i32-1-1-1-1-1-1111111−1−i3−1−i3−1+i3−1+i31+i31−i3-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i322-1−1−i31+i32−1+i31−i322-1-2-211−1−i31+i321+i31+i3−1−i32−1−i32−1+i31−i321−i31−i3−1+i32−1+i32000000000000
χ3622-222-2-222−1−i3−1+i3−1−i3−1+i3-222-2-21+i31−i3-11+i321−i32-1111+i32−1−i32−1−i321−i32−1+i32−1+i32-1-1-1-1-1-1111111−1−i3−1−i3−1+i3−1+i31+i31−i3-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i32-121+i32−1−i31−i32−1+i3-1211-2-21+i32−1−i3−1−i32−1−i321+i31+i31−i32−1+i3−1+i32−1+i321−i31−i3000000000000
χ372-202-2002-222-2-202-20000222-200-200-200222-2-2-20000002-22-2002-2002-2002-20022-200-200222222-2-20000-2-20000-2-20000000000000000
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χ886-606-600-2266-6-60-220000666-600-600-600000000000000-22-2200-2200-2200-220000000000000000000000000000000000000000000000
χ896-606-600-2266-6-60-220000-3-3-333i3−3i333i3−3i333i3−3i3000000000000-22-22001-1−i3i31-1−i3i31-1−i3i300000000000000000000000000000000000000000000
χ906-606-600-2266-6-60-220000-3-3-33−3i33i33−3i33i33−3i33i3000000000000-22-22001-1i3−i31-1i3−i31-1i3−i300000000000000000000000000000000000000000000
χ916-606-600-22−3+3i3−3−3i33−3i33+3i30-2200006−3+3i3−3−3i3-6003−3i3003+3i3000000000000001−i3−1+i31+i3−1−i300-22001−i3−1+i3001+i3−1−i30000000000000000000000000000000000000000000000
χ926-606-600-22−3+3i3−3−3i33−3i33+3i30-220000-33−3i323+3i3233i3−3i3−3+3i32−9−3i329+3i32−3−3i329−3i32−9+3i320000000000001−i3−1+i31+i3−1−i3001-1−i3i3−1+i321−i323+i32−3−i32−1−i321+i32−3+i323−i3200000000000000000000000000000000000000000000
χ936-606-600-22−3+3i3−3−3i33−3i33+3i30-220000-33−3i323+3i323−3i33i3−3+3i329+3i32−9−3i32−3−3i32−9+3i329−3i320000000000001−i3−1+i31+i3−1−i3001-1i3−i3−1+i321−i32−3−i323+i32−1−i321+i323−i32−3+i3200000000000000000000000000000000000000000000
χ946-606-600-22−3−3i3−3+3i33+3i33−3i30-2200006−3−3i3−3+3i3-6003+3i3003−3i3000000000000001+i3−1−i31−i3−1+i300-22001+i3−1−i3001−i3−1+i30000000000000000000000000000000000000000000000
χ956-606-600-22−3−3i3−3+3i33+3i33−3i30-220000-33+3i323−3i3233i3−3i3−3−3i329−3i32−9+3i32−3+3i32−9−3i329+3i320000000000001+i3−1−i31−i3−1+i3001-1−i3i3−1−i321+i32−3+i323−i32−1+i321−i323+i32−3−i3200000000000000000000000000000000000000000000
χ966-606-600-22−3−3i3−3+3i33+3i33−3i30-220000-33+3i323−3i323−3i33i3−3−3i32−9+3i329−3i32−3+3i329+3i32−9−3i320000000000001+i3−1−i31−i3−1+i3001-1i3−i3−1−i321+i323−i32−3+i32−1+i321−i32−3−i323+i3200000000000000000000000000000000000000000000
χ976-60-333i3−3i36-600000-333i3−3i3000000000000006-3-3-63303i3−3i30−3i33i300000000000000000000000000000000000000000000000000000000000000
χ986-60-333i3−3i36-600000-333i3−3i300000000000000-36-33-63−3i303i33i30−3i300000000000000000000000000000000000000000000000000000000000000
χ996-60-333i3−3i36-600000-333i3−3i300000000000000-3-3633-63i3−3i30−3i33i3000000000000000000000000000000000000000000000000000000000000000
χ1006-60-33−3i33i36-600000-33−3i33i3000000000000006-3-3-6330−3i33i303i3−3i300000000000000000000000000000000000000000000000000000000000000
χ1016-60-33−3i33i36-600000-33−3i33i300000000000000-36-33-633i30−3i3−3i303i300000000000000000000000000000000000000000000000000000000000000
χ1026-60-33−3i33i36-600000-33−3i33i300000000000000-3-3633-6−3i33i303i3−3i3000000000000000000000000000000000000000000000000000000000000000
χ103181818-9-9-9-9-6-60000-633330000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1041818-18-9-999-6-60000633-3-30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10518-180-999i3−9i3-66000003-3−3i33i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10618-180-99−9i39i3-66000003-33i3−3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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