Finite Group Databasebeta

← Group #72221945

Character table — Group #72221945

Order 2916.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1223346666666666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121227272727545454545454545454545454548181818181162162162162162162
order133333333333333333333333333333333333333333333333333333333333333333333333332266666666666666626666666666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111-1111-111111111111-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111-11-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1111
χ5111−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211111111111111111−1+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−i3211−1+i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ6111−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211111111111111111−1+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−i321-1−1+i32−1−i321-1111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-11−i321+i321−i321+i32-11−i321+i32-11−i321+i32
χ7111−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211111111111111111−1+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−i32-111−i321+i32-11-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32
χ8111−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211111111111111111−1+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−i32-1-11−i321+i32-1-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211−i321+i32−1+i32−1−i32-11−i321+i321−1+i32−1−i32
χ9111−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211111111111111111−1−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+i3211−1−i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ10111−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211111111111111111−1−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+i321-1−1−i32−1+i321-1111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-11+i321−i321+i321−i32-11+i321−i32-11+i321−i32
χ11111−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211111111111111111−1−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+i32-111+i321−i32-11-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32
χ12111−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211111111111111111−1−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+i32-1-11+i321−i32-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211+i321−i32−1−i32−1+i32-11+i321−i321−1−i32−1+i32
χ13222222222222222222-12-12-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000020022000-1-1-1
χ14222222222222222222-12-12-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000-200-2-2000111
χ1522222222222222222-12-12-12-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-10200020000000000002200-1-1-1000
χ1622222222222222222-12-12-12-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-10-2000-2000000000000-2-200111000
χ17222222-1-1-12-1-1-12-1-1-12222222-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-1202220-1-1-12-1-1-12-1-1-100000000000
χ18222222-1-1-12-1-1-12-1-1-12222222-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-1-20-2-2-20111-2111-211100000000000
χ19222−1+i3−1−i32222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i32-1−1+i31−i32−1−i31+i322222-1-1-1-1-1-1-1-1-1-1-1-1-1−1+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+i3200000000000000000200−1+i3−1−i3000-11−i321+i32
χ20222−1+i3−1−i32222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i32-1−1+i31−i32−1−i31+i322222-1-1-1-1-1-1-1-1-1-1-1-1-1−1+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+i3200000000000000000-2001−i31+i30001−1+i32−1−i32
χ21222−1+i3−1−i32222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3-121−i32−1+i31+i32−1−i3-1-1-1-12222-1-1-1-1-1-1-1-1-11−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+i32020002000000000000−1+i3−1−i300-11−i321+i32000
χ22222−1+i3−1−i32222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3-121−i32−1+i31+i32−1−i3-1-1-1-12222-1-1-1-1-1-1-1-1-11−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+i320-2000-20000000000001−i31+i3001−1+i32−1−i32000
χ23222−1+i3−1−i32-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i3222−1+i3−1+i3−1−i3−1−i32-1-1-12-1-1-1222-1-1-1-1-1-1−1+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+i3220−1+i3−1−i320-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i3200000000000
χ24222−1+i3−1−i32-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i3222−1+i3−1+i3−1−i3−1−i32-1-1-12-1-1-1222-1-1-1-1-1-1−1+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+i32-201−i31+i3-201111−i3−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i3200000000000
χ25222−1−i3−1+i32222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i32-1−1−i31+i32−1+i31−i322222-1-1-1-1-1-1-1-1-1-1-1-1-1−1−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−i3200000000000000000200−1−i3−1+i3000-11+i321−i32
χ26222−1−i3−1+i32222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i32-1−1−i31+i32−1+i31−i322222-1-1-1-1-1-1-1-1-1-1-1-1-1−1−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−i3200000000000000000-2001+i31−i30001−1−i32−1+i32
χ27222−1−i3−1+i32222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3-121+i32−1−i31−i32−1+i3-1-1-1-12222-1-1-1-1-1-1-1-1-11+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−i32020002000000000000−1−i3−1+i300-11+i321−i32000
χ28222−1−i3−1+i32222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3-121+i32−1−i31−i32−1+i3-1-1-1-12222-1-1-1-1-1-1-1-1-11+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−i320-2000-20000000000001+i31−i3001−1−i32−1+i32000
χ29222−1−i3−1+i32-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i3222−1−i3−1−i3−1+i3−1+i32-1-1-12-1-1-1222-1-1-1-1-1-1−1−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−i3220−1−i3−1+i320-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i3200000000000
χ30222−1−i3−1+i32-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i3222−1−i3−1−i3−1+i3−1+i32-1-1-12-1-1-1222-1-1-1-1-1-1−1−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−i32-201+i31−i3-201111+i3−1−i32−1−i32−1−i321−i3−1+i32−1+i32−1+i3200000000000
χ3122-122-12-1-1-12-1-1-12-1-1222222-12-1-1-12-1-12-1-122-1-1-1-1-12-1-1-12-1-12-1-122-1-1-1-1-12-1-1-12-1-12-1-122-1-1-1-12022-102-1-1-12-1-1-12-1-100000000000
χ3222-122-12-1-1-12-1-1-12-1-1222222-12-1-1-12-1-12-1-122-1-1-1-1-12-1-1-12-1-12-1-122-1-1-1-1-12-1-1-12-1-12-1-122-1-1-1-1-20-2-210-2111-2111-21100000000000
χ3322-122-1-12-1-1-12-1-1-12-1222222-1-12-1-1-12-12-1-1-1-122-1-1-1-12-1-1-12-12-1-1-1-122-1-1-1-12-1-1-12-12-1-1-1-122-1-12022-10-12-1-1-12-1-1-12-100000000000
χ3422-122-1-12-1-1-12-1-1-12-1222222-1-12-1-1-12-12-1-1-1-122-1-1-1-12-1-1-12-12-1-1-1-122-1-1-1-12-1-1-12-12-1-1-1-122-1-1-20-2-2101-2111-2111-2100000000000
χ3522-122-1-1-12-1-1-12-1-1-12222222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12-1-1-122-1-1-1-1-1-1222022-10-1-12-1-1-12-1-1-1200000000000
χ3622-122-1-1-12-1-1-12-1-1-12222222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-20-2-21011-2111-2111-200000000000
χ3722-1−1+i3−1−i3-12-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i3222−1+i3−1+i3−1−i3−1−i3-12-1-1-12-1-12-1-122-1-1-1-11−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+i3220−1+i3−1−i3-102-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i3200000000000
χ3822-1−1+i3−1−i3-12-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i3222−1+i3−1+i3−1−i3−1−i3-12-1-1-12-1-12-1-122-1-1-1-11−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+i32-201−i31+i310-211−1+i321−i3−1+i32−1+i32−1−i321+i3−1−i32−1−i3200000000000
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χ10018-91800-90000000000000000000000000000000000000000000000000000000000000000000006000-30000000000000000000000
χ10118-91800-9000000000000000000000000000000000000000000000000000000000000000000000-600030000000000000000000000
χ10236-18-18009000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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