Finite Group Databasebeta

← Group #72222930

Character table — Group #72222930

Order 5184.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size11222223344444466666666666666612121212121212121212121212121212121212121212121212121212121212121818181824242424242424242424272736363636363636363636363648484848484848484848484854545472727272727272728181108108108108108108144144144144144144144144162216216
order1223366223666662234666666666663336666666666666666666666666666122244333366666622666666121212121212336666666666224666612121212226666612666612121212266
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-11-11111111111-1-11-111111-11111111111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1
χ31111111111111111111111111111111−1+i32−1−i3211111111111111111111111111−1+i32−1−i3211111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111111111−1+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+i32−1−i32−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32
χ41111111111111111111111111111111−1+i32−1−i3211111111111111111111111111−1+i32−1−i3211-11-1−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-11-111111-11111−1+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+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32-1-1-11−i321−i321+i321+i32-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32-11−i321+i32
χ51111111111111111111111111111111−1−i32−1+i3211111111111111111111111111−1−i32−1+i3211111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111111111−1−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−i32−1+i32−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32
χ61111111111111111111111111111111−1−i32−1+i3211111111111111111111111111−1−i32−1+i3211-11-1−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-11-111111-11111−1−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−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32-1-1-11+i321+i321−i321−i32-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32-11+i321−i32
χ71111111111111111-11-1111111111111111-111111111111111111111111111-1-11-111111111111-1-1-11-1-1-1-1-11-1-1-1-11111111111111-11-1-111-1-111-1-11-1-1-1-11-1-111-1-111-1-1-1
χ81111111111111111-11-1111111111111111-111111111111111111111111111-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-1111
χ91111111111111111-11-1111111111111−1+i32−1−i321-1111111111111111111111111−1+i32−1−i32-1-11-11−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-11-1-1-1-1-11-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321-111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32-1-111−i321−i321+i321+i3211−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32-11−i321+i32
χ101111111111111111-11-1111111111111−1+i32−1−i321-1111111111111111111111111−1+i32−1−i32-1-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-11-11−i321+i321−i321+i321−i321+i321−i321+i3211-1−1+i32−1+i32−1−i32−1−i32-11−i321+i321−i321+i321−i321+i321−i321+i321−1+i32−1−i32
χ111111111111111111-11-1111111111111−1−i32−1+i321-1111111111111111111111111−1−i32−1+i32-1-11-11−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-11-1-1-1-1-11-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321-111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32-1-111+i321+i321−i321−i3211+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32-11+i321−i32
χ121111111111111111-11-1111111111111−1−i32−1+i321-1111111111111111111111111−1−i32−1+i32-1-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-11-11+i321−i321+i321−i321+i321−i321+i321−i3211-1−1−i32−1−i32−1+i32−1+i32-11+i321−i321+i321−i321+i321−i321+i321−i321−1−i32−1+i32
χ1311-11111111-1-11-1-1-111-111111111111111-11-111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111-111-1-11111-1-1111111111111-1-1-1-1-1-111-1-1-1-11-1-11-1-11-1-11111-1-1-1-11111111-11111-1-1-1-1-1-1-1
χ1411-11111111-1-11-1-1-111-111111111111111-11-111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111-11-1-111111-1-11111-1-11-11111-11-1-1-1-111-1-1-1-11-1-11-1-1-11111-1-1-1-111-1-1-1-1-1-1-1111-1-1-1-111111
χ1511-11111111-1-11-1-1-111-1111111111111−1+i32−1−i32-11-111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1−1+i32−1−i32-111-1-1−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i3211111111-1-1-1-1-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i321−i321−i32−1−i321+i321+i321-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32111−1+i32−1+i32−1−i32−1−i32-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32-11−i321+i32
χ1611-11111111-1-11-1-1-111-1111111111111−1+i32−1−i32-11-111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1−1+i32−1−i32-11-1-11−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i32-1-11-11111-11-1-1-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i321−i321−i32−1−i321+i321+i32-111−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32-1-1-11−i321−i321+i321+i321−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i321−1+i32−1−i32
χ1711-11111111-1-11-1-1-111-1111111111111−1−i32−1+i32-11-111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1−1−i32−1+i32-111-1-1−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i3211111111-1-1-1-1-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i321+i321+i32−1+i321−i321−i321-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32111−1−i32−1−i32−1+i32−1+i32-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32-11+i321−i32
χ1811-11111111-1-11-1-1-111-1111111111111−1−i32−1+i32-11-111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1−1−i32−1+i32-11-1-11−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i32-1-11-11111-11-1-1-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i321+i321+i32−1+i321−i321−i32-111−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32-1-1-11+i321+i321−i321−i321−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i321−1−i32−1+i32
χ1911-11111111-1-11-1-1-1-11111111111111111-1-1-111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111-111-11111-1-11111-1-1-11-1-1-1-11-1111111-1-1-1-11-1-11-1-111-1-1-11111-1-1-1-11-1-1-1-1-1-1-11111-1-1111
χ2011-11111111-1-11-1-1-1-11111111111111111-1-1-111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111-1-1111111-1-1111111-1-1-1-1-1-111111111-1-1-1-11-1-11-1-1-1-11-1-1-1-1111111-111111-1-1-1-11111-1-1-1
χ2111-11111111-1-11-1-1-1-111111111111111−1+i32−1−i32-1-1-111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1−1+i32−1−i321-111-1−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i32-1-1-11-1-1-1-11-11111−1+i32−1−i321−i321−i321+i321+i32−1+i321−i321−i32−1−i321+i321+i3211-11−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32-1-111−i321−i321+i321+i32-11−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i321−1+i32−1−i32
χ2211-11111111-1-11-1-1-1-111111111111111−1+i32−1−i32-1-1-111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1−1+i32−1−i321-1-111−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-1-1-1111111−1+i32−1−i321−i321−i321+i321+i32−1+i321−i321−i32−1−i321+i321+i32-1-111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i3211-1−1+i32−1+i32−1−i32−1−i3211−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32-11−i321+i32
χ2311-11111111-1-11-1-1-1-111111111111111−1−i32−1+i32-1-1-111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1−1−i32−1+i321-111-1−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i32-1-1-11-1-1-1-11-11111−1−i32−1+i321+i321+i321−i321−i32−1−i321+i321+i32−1+i321−i321−i3211-11+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32-1-111+i321+i321−i321−i32-11+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i321−1−i32−1+i32
χ2411-11111111-1-11-1-1-1-111111111111111−1−i32−1+i32-1-1-111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1−1−i32−1+i321-1-111−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-1-1-1111111−1−i32−1+i321+i321+i321−i321−i32−1−i321+i321+i32−1+i321−i321−i32-1-111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i3211-1−1−i32−1−i32−1+i32−1+i3211+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32-11+i321−i32
χ2522222222222222222-122222-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220202-12-1222-12-10020-1-1-1-120-1-1-1-1-1-12-12-1-1-1-1-1-1-10002200220000000000-1-100-1-100000
χ2622222222222222222-122222-1-1-1-1-1-1-1-1−1+i3−1−i32222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i322020−1+i31−i32−1−i31+i32−1+i3−1−i3−1+i31−i32−1−i31+i320020-1-1-1-120-1-1-1-11−i321+i32−1+i31−i32−1−i31+i321−i321−i321−i321+i321+i321+i32000−1+i3−1−i300−1+i3−1−i300000000001−i321+i32001−i321+i3200000
χ2722222222222222222-122222-1-1-1-1-1-1-1-1−1−i3−1+i32222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i322020−1−i31+i32−1+i31−i32−1−i3−1+i3−1−i31+i32−1+i31−i320020-1-1-1-120-1-1-1-11+i321−i32−1−i31+i32−1+i31−i321+i321+i321+i321−i321−i321−i32000−1−i3−1+i300−1−i3−1+i300000000001+i321−i32001+i321−i3200000
χ282222222222222222-2-1-22222-1-1-1-1-1-1-1-1222-222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-20-202-12-1222-12-100-201111-201111-1-12-12-1-1-1-1-1-1-1000-2-200-2-2000000000011001100000
χ292222222222222222-2-1-22222-1-1-1-1-1-1-1-1−1+i3−1−i32-222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3-2-20-20−1+i31−i32−1−i31+i32−1+i3−1−i3−1+i31−i32−1−i31+i3200-201111-2011111−i321+i32−1+i31−i32−1−i31+i321−i321−i321−i321+i321+i321+i320001−i31+i3001−i31+i30000000000−1+i32−1−i3200−1+i32−1−i3200000
χ302222222222222222-2-1-22222-1-1-1-1-1-1-1-1−1−i3−1+i32-222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3-2-20-20−1−i31+i32−1+i31−i32−1−i3−1+i3−1−i31+i32−1+i31−i3200-201111-2011111+i321−i32−1−i31+i32−1+i31−i321+i321+i321+i321−i321−i321−i320001+i31−i3001+i31−i30000000000−1−i32−1+i3200−1−i32−1+i3200000
χ312222-12-122-12-1-1-1-1202022-1-12222222-12220-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12200202-12-1222-12-12000-100000-10000-1-1-12-12-1-1-1-1-1-12020022002200-10000-100-1-100-1-1000
χ322222-12-122-12-1-1-1-1202022-1-12222222-12220-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12200-20-2-12-1222-12-1200010000010000-1-1-12-12-1-1-1-1-1-1-20-200-2-200-2-20010000100110011000
χ332222-12-122-12-1-1-1-1202022-1-12222222-1−1+i3−1−i320-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3002021−i32−1+i31+i32−1−i3−1+i3−1−i31−i32−1+i31+i32−1−i3000-100000-100001−i321+i321−i32−1+i31+i32−1−i31−i321−i321−i321+i321+i321+i3220200−1+i3−1−i300−1+i3−1−i300-10000-1001−i321+i32001−i321+i32000
χ342222-12-122-12-1-1-1-1202022-1-12222222-1−1+i3−1−i320-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i300-20-21−i32−1+i31+i32−1−i3−1+i3−1−i31−i32−1+i31+i32−1−i3000100000100001−i321+i321−i32−1+i31+i32−1−i31−i321−i321−i321+i321+i321+i32-20-2001−i31+i3001−i31+i30010000100−1+i32−1−i3200−1+i32−1−i32000
χ352222-12-122-12-1-1-1-1202022-1-12222222-1−1−i3−1+i320-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3002021+i32−1−i31−i32−1+i3−1−i3−1+i31+i32−1−i31−i32−1+i3000-100000-100001+i321−i321+i32−1−i31−i32−1+i31+i321+i321+i321−i321−i321−i3220200−1−i3−1+i300−1−i3−1+i300-10000-1001+i321−i32001+i321−i32000
χ362222-12-122-12-1-1-1-1202022-1-12222222-1−1−i3−1+i320-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i300-20-21+i32−1−i31−i32−1+i3−1−i3−1+i31+i32−1−i31−i32−1+i3000100000100001+i321−i321+i32−1−i31−i32−1+i31+i321+i321+i321−i321−i321−i32-20-2001+i31−i3001+i31−i30010000100−1−i32−1+i3200−1−i32−1+i32000
χ3722-22222222-2-22-2-2-22-1-22222-1-1-1-1-1-1-1-122-22-222-2-21111-1-1-1-1-1-1-11111111122-220-202-12-1-2-22-12-10020-1-1-1-1-201111-1-1-21-21-111-1110002200-2-20000000000-1-1001100000
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Here i is the imaginary unit (i² = −1).