Finite Group Databasebeta

← Group #72253808

Character table — Group #72253808

Order 8748.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size122222334444666666666661212121818181818181818181818181818273636363636363636363636363636363636363636363636545454548181818181108108108108108108108108108162162162162162162162162162162162162162162162162162162162162162162162243243243486486486
order133333333333333333333333333333399999999923333333333333399999999966662666699999999966666666666666181818181818181818266666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-111111111111111111111111-1-1-1-11-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-111111111111111111111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111−1+i32−1−i321111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+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−i3211111−1+i32−1−i32−1+i32−1−i32111−1+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−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ6111111−1+i32−1−i321111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+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−i321111-1−1+i32−1−i321−i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-11−i321+i32-11−i321+i32
χ7111111−1+i32−1−i321111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-11111−1+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−i32-1-1-1-111−i321+i32−1+i32−1−i32111−1+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−i321−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-11−i321+i32-11−i321+i32
χ8111111−1+i32−1−i321111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-11111−1+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−i32-1-1-1-1-11−i321+i321−i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321+i32-1-1-11−i321−i321−i321+i321+i321+i321−1+i32−1−i321−1+i32−1−i32
χ9111111−1−i32−1+i321111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−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+i3211111−1−i32−1+i32−1−i32−1+i32111−1−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+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ10111111−1−i32−1+i321111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−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+i321111-1−1−i32−1+i321+i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-11+i321−i32-11+i321−i32
χ11111111−1−i32−1+i321111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-11111−1−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+i32-1-1-1-111+i321−i32−1−i32−1+i32111−1−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+i321+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-11+i321−i32-11+i321−i32
χ12111111−1−i32−1+i321111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-11111−1−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+i32-1-1-1-1-11+i321−i321+i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321−i32-1-1-11+i321+i321+i321−i321−i321−i321−1−i32−1+i321−1−i32−1+i32
χ132222222222222222222222222222222-1-1-1-1-1-1-1-1-1222222222222222-1-1-1-1-1-1-1-1-1222202200-1-1-1-1-1-1-1-1-100000000000022-1-1-1-1-1-1-1-1-1000000
χ142222222222222222222222222222222-1-1-1-1-1-1-1-1-1-222222222222222-1-1-1-1-1-1-1-1-1-2-2-2-20-2-200-1-1-1-1-1-1-1-1-1000000000000-2-2111111111000000
χ152222222222222222222222222222-1-1-12222222220-1-1-1-12-1-1-1-12-1-1-1-1222222222000000000-1-1-1-1-1-1-1-1-100000000000000000000000222-1-1-1
χ162222222222222222222222222222-1-1-12222222220-1-1-1-12-1-1-1-12-1-1-1-1222222222000000000-1-1-1-1-1-1-1-1-100000000000000000000000-2-2-2111
χ17222222222222-1-1-122222222-1-1-1-1-12222-1-12-1-12-1-122-1-1-1-12-1-1-1-12-1-1-12-1-12-1-12-1-12-1-1-1022002-1-12-1-12-1-1000000000000-1-12-1-12-1-12-1-1000000
χ18222222222222-1-1-122222222-1-1-1-1-12222-1-12-1-12-1-1-22-1-1-1-12-1-1-1-12-1-1-12-1-12-1-12-1-1-21110-2-2002-1-12-1-12-1-100000000000011-211-211-211000000
χ19222222222222-1-1-122222222-1-1-1-1-1222-12-1-12-1-12-122-1-1-1-12-1-1-1-12-1-1-1-12-1-12-1-12-12-1-1-102200-12-1-12-1-12-1000000000000-1-1-12-1-12-1-12-1000000
χ20222222222222-1-1-122222222-1-1-1-1-1222-12-1-12-1-12-1-22-1-1-1-12-1-1-1-12-1-1-1-12-1-12-1-12-1-21110-2-200-12-1-12-1-12-1000000000000111-211-211-21000000
χ21222222222222-1-1-122222222-1-1-1-1-1222-1-12-1-12-1-1222-1-1-1-12-1-1-1-12-1-1-1-1-12-1-12-1-122-1-1-102200-1-12-1-12-1-12000000000000-1-1-1-12-1-12-1-12000000
χ22222222222222-1-1-122222222-1-1-1-1-1222-1-12-1-12-1-12-22-1-1-1-12-1-1-1-12-1-1-1-1-12-1-12-1-12-21110-2-200-1-12-1-12-1-120000000000001111-211-211-2000000
χ23222222−1+i3−1−i32222222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3222−1+i3−1−i32−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i3222222−1+i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i3222220−1+i3−1−i300-1-1-11−i321−i321−i321+i321+i321+i32000000000000−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32000000
χ24222222−1+i3−1−i32222222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3222−1+i3−1−i32−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-22222−1+i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-2-2-2-201−i31+i300-1-1-11−i321−i321−i321+i321+i321+i320000000000001−i31+i3111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000
χ25222222−1+i3−1−i32222222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3222−1+i3−1−i3-11−i321+i32222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i30-1-1-1-1−1+i31−i321−i321−i321−i32−1−i31+i321+i321+i321+i32222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3000000000-1-1-11−i321−i321−i321+i321+i321+i32000000000000000000000002−1+i3−1−i3-11−i321+i32
χ26222222−1+i3−1−i32222222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3222−1+i3−1−i3-11−i321+i32222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i30-1-1-1-1−1+i31−i321−i321−i321−i32−1−i31+i321+i321+i321+i32222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3000000000-1-1-11−i321−i321−i321+i321+i321+i3200000000000000000000000-21−i31+i31−1+i32−1−i32
χ27222222−1+i3−1−i32222-1-1-1−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3-1-1-11−i321+i322−1+i3−1−i32-1-1−1+i31−i321−i32−1−i31+i321+i3222-1-1-11−i32−1+i31−i321−i321−i321+i32−1−i31+i321+i321+i322-1-1−1+i31−i321−i32−1−i31+i321+i322-1-1-10−1+i3−1−i3002-1-1−1+i31−i321−i32−1−i31+i321+i320000000000001−i321+i322-1-1−1+i31−i321−i32−1−i31+i321+i32000000
χ28222222−1+i3−1−i32222-1-1-1−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3-1-1-11−i321+i322−1+i3−1−i32-1-1−1+i31−i321−i32−1−i31+i321+i32-22-1-1-11−i32−1+i31−i321−i321−i321+i32−1−i31+i321+i321+i322-1-1−1+i31−i321−i32−1−i31+i321+i32-211101−i31+i3002-1-1−1+i31−i321−i32−1−i31+i321+i32000000000000−1+i32−1−i32-2111−i3−1+i32−1+i321+i3−1−i32−1−i32000000
χ29222222−1+i3−1−i32222-1-1-1−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3-1-1-11−i321+i322−1+i3−1−i3-12-11−i32−1+i31−i321+i32−1−i31+i3222-1-1-11−i32−1+i31−i321−i321−i321+i32−1−i31+i321+i321+i32-12-11−i32−1+i31−i321+i32−1−i31+i322-1-1-10−1+i3−1−i300-12-11−i32−1+i31−i321+i32−1−i31+i320000000000001−i321+i32-12-11−i32−1+i31−i321+i32−1−i31+i32000000
χ30222222−1+i3−1−i32222-1-1-1−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3-1-1-11−i321+i322−1+i3−1−i3-12-11−i32−1+i31−i321+i32−1−i31+i32-22-1-1-11−i32−1+i31−i321−i321−i321+i32−1−i31+i321+i321+i32-12-11−i32−1+i31−i321+i32−1−i31+i32-211101−i31+i300-12-11−i32−1+i31−i321+i32−1−i31+i32000000000000−1+i32−1−i321-21−1+i321−i3−1+i32−1−i321+i3−1−i32000000
χ31222222−1+i3−1−i32222-1-1-1−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3-1-1-11−i321+i322−1+i3−1−i3-1-121−i321−i32−1+i31+i321+i32−1−i322-1-1-11−i32−1+i31−i321−i321−i321+i32−1−i31+i321+i321+i32-1-121−i321−i32−1+i31+i321+i32−1−i32-1-1-10−1+i3−1−i300-1-121−i321−i32−1+i31+i321+i32−1−i30000000000001−i321+i32-1-121−i321−i32−1+i31+i321+i32−1−i3000000
χ32222222−1+i3−1−i32222-1-1-1−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3-1-1-11−i321+i322−1+i3−1−i3-1-121−i321−i32−1+i31+i321+i32−1−i3-22-1-1-11−i32−1+i31−i321−i321−i321+i32−1−i31+i321+i321+i32-1-121−i321−i32−1+i31+i321+i32−1−i3-211101−i31+i300-1-121−i321−i32−1+i31+i321+i32−1−i3000000000000−1+i32−1−i3211-2−1+i32−1+i321−i3−1−i32−1−i321+i3000000
χ33222222−1−i3−1+i32222222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3222−1−i3−1+i32−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i3222222−1−i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i3222220−1−i3−1+i300-1-1-11+i321+i321+i321−i321−i321−i32000000000000−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32000000
χ34222222−1−i3−1+i32222222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3222−1−i3−1+i32−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-22222−1−i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-2-2-2-201+i31−i300-1-1-11+i321+i321+i321−i321−i321−i320000000000001+i31−i3111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000
χ35222222−1−i3−1+i32222222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3222−1−i3−1+i3-11+i321−i32222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i30-1-1-1-1−1−i31+i321+i321+i321+i32−1+i31−i321−i321−i321−i32222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3000000000-1-1-11+i321+i321+i321−i321−i321−i32000000000000000000000002−1−i3−1+i3-11+i321−i32
χ36222222−1−i3−1+i32222222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3222−1−i3−1+i3-11+i321−i32222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i30-1-1-1-1−1−i31+i321+i321+i321+i32−1+i31−i321−i321−i321−i32222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3000000000-1-1-11+i321+i321+i321−i321−i321−i3200000000000000000000000-21+i31−i31−1−i32−1+i32
χ37222222−1−i3−1+i32222-1-1-1−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3-1-1-11+i321−i322−1−i3−1+i32-1-1−1−i31+i321+i32−1+i31−i321−i3222-1-1-11+i32−1−i31+i321+i321+i321−i32−1+i31−i321−i321−i322-1-1−1−i31+i321+i32−1+i31−i321−i322-1-1-10−1−i3−1+i3002-1-1−1−i31+i321+i32−1+i31−i321−i320000000000001+i321−i322-1-1−1−i31+i321+i32−1+i31−i321−i32000000
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χ10012-6-6-612-600333-612-6-600000000-63300066000000000000000-36-3-30-36-3-300000000000000000000000000000000000000000000000000000000
χ10112-6-6-612-600333-612-6-600000000-633000−3+3i3−3−3i30000000000000003−3i32−3+3i33−3i323−3i3203+3i32−3−3i33+3i323+3i3200000000000000000000000000000000000000000000000000000000
χ10212-6-6-612-600333-612-6-600000000-633000−3−3i3−3+3i30000000000000003+3i32−3−3i33+3i323+3i3203−3i32−3+3i33−3i323−3i3200000000000000000000000000000000000000000000000000000000
χ10312-6-6-612-600333-6-612-6000000003-6300066000000000000000-3-36-30-3-36-300000000000000000000000000000000000000000000000000000000
χ10412-6-6-612-600333-6-612-6000000003-63000−3+3i3−3−3i30000000000000003−3i323−3i32−3+3i33−3i3203+3i323+3i32−3−3i33+3i3200000000000000000000000000000000000000000000000000000000
χ10512-6-6-612-600333-6-612-6000000003-63000−3−3i3−3+3i30000000000000003+3i323+3i32−3−3i33+3i3203−3i323−3i32−3+3i33−3i3200000000000000000000000000000000000000000000000000000000
χ10612-6-6-612-600333-6-6-6120000000033-600066000000000000000-3-3-360-3-3-3600000000000000000000000000000000000000000000000000000000
χ10712-6-6-612-600333-6-6-6120000000033-6000−3+3i3−3−3i30000000000000003−3i323−3i323−3i32−3+3i303+3i323+3i323+3i32−3−3i300000000000000000000000000000000000000000000000000000000
χ10812-6-6-612-600333-6-6-6120000000033-6000−3−3i3−3+3i30000000000000003+3i323+3i323+3i32−3−3i303−3i323−3i323−3i32−3+3i300000000000000000000000000000000000000000000000000000000
χ1093636-18-18-18-1800-18999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11036-1836-18-18-18009-1899000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11136-18-1836-18-180099-189000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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