Finite Group Databasebeta

← Group #72230335

Character table — Group #72230335

Order 2880.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size111122222222222222222244444444444455558888888888888888888888888888888888101010101010101010101010101010101010101010101010101018181818202020202020202020202020202020202020202020202020202020202020202020202020202020204545454545454545727272729090909090909090
order12223333446666666666665101010121212121212121222221515151520203030303030303030303030306060606060606060606060606060606044444444446666666666666666224412121212121212121212121212121212121212121212121212121212121212121212121212121212444444441010202022444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1ii−i−iii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−i
χ61111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1ii−i−iii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-1-1-11111−i−iii
χ71111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1−i−iii−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−iiiii1111-1-1-1-1−i−iii
χ81111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1−i−iii−i−iii-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−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i-1-1-1-11111ii−i−i
χ911111111-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111
χ1011111111-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1
χ1111111111-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1
χ1211111111-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111111
χ1311111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii11-1-1-1-111ii−i−i
χ1411111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i-1-11111-1-1−i−iii
χ1511111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i11-1-1-1-111−i−iii
χ1611111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-11111-1-1ii−i−i
χ1711-1-11111i−i1111-1-1-1-1-1-1-1-111-1-1iiii−i−i−i−i1-1-111111i−i1111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−ii−ii−ii−i1-11-11111-1-1-1-11111-1-1-1-11-1i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-111-1-111-1-11-1i−i1-1i−ii−ii−i
χ1811-1-11111i−i1111-1-1-1-1-1-1-1-111-1-1iiii−i−i−i−i1-1-111111i−i1111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−ii−ii−ii−i1-11-11111-1-1-1-11111-1-1-1-1-11−iiiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1-1-111-1-111-11−ii-11−ii−ii−ii
χ1911-1-11111i−i1111-1-1-1-1-1-1-1-111-1-1iiii−i−i−i−i1-1-111111i−i1111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−ii−i−ii−ii-11-111111-1-1-1-11111-1-1-1-11-1i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii-1-1-1-11111-1-111-1-1111-1i−i1-1i−i−ii−ii
χ2011-1-11111i−i1111-1-1-1-1-1-1-1-111-1-1iiii−i−i−i−i1-1-111111i−i1111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−ii−i−ii−ii-11-111111-1-1-1-11111-1-1-1-1-11−iiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii-1-1-1-1111111-1-111-1-1-11−ii-11−iii−ii−i
χ2111-1-11111i−i1111-1-1-1-1-1-1-1-111-1-1iiii−i−i−i−i-111-11111i−i1111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−ii1-1-11−iii−i-1-1-1-11111-1-1-1-111111-1i−i−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i−i−iiiii−i−i1-1i−i-11−ii1-1-11
χ2211-1-11111i−i1111-1-1-1-1-1-1-1-111-1-1iiii−i−i−i−i-111-11111i−i1111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−ii1-1-11−iii−i-1-1-1-11111-1-1-1-11111-11−ii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−iii−i−i−i−iii-11−ii1-1i−i-111-1
χ2311-1-11111i−i1111-1-1-1-1-1-1-1-111-1-1iiii−i−i−i−i-111-11111i−i1111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−ii-111-1i−i−ii-1-1-1-11111-1-1-1-111111-1i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiiiii−i−i−i−iii1-1i−i-11−ii-111-1
χ2411-1-11111i−i1111-1-1-1-1-1-1-1-111-1-1iiii−i−i−i−i-111-11111i−i1111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−ii-111-1i−i−ii-1-1-1-11111-1-1-1-11111-11−ii−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii−i−iiiii−i−i-11−ii1-1i−i1-1-11
χ2511-1-11111−ii1111-1-1-1-1-1-1-1-111-1-1−i−i−i−iiiii1-1-111111−ii1111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−iii−ii−i-11-111111-1-1-1-11111-1-1-1-11-1−ii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i-1-1-1-11111-1-111-1-1111-1−ii1-1−iii−ii−i
χ2611-1-11111−ii1111-1-1-1-1-1-1-1-111-1-1−i−i−i−iiiii1-1-111111−ii1111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−iii−ii−i-11-111111-1-1-1-11111-1-1-1-1-11i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i-1-1-1-1111111-1-111-1-1-11i−i-11i−i−ii−ii
χ2711-1-11111−ii1111-1-1-1-1-1-1-1-111-1-1−i−i−i−iiiii1-1-111111−ii1111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−ii−ii−ii1-11-11111-1-1-1-11111-1-1-1-11-1−ii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-111-1-111-1-11-1−ii1-1−ii−ii−ii
χ2811-1-11111−ii1111-1-1-1-1-1-1-1-111-1-1−i−i−i−iiiii1-1-111111−ii1111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−ii−ii−ii1-11-11111-1-1-1-11111-1-1-1-1-11i−i−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1-1-111-1-111-11i−i-11i−ii−ii−i
χ2911-1-11111−ii1111-1-1-1-1-1-1-1-111-1-1−i−i−i−iiiii-111-11111−ii1111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiii−i1-1-11i−i−ii-1-1-1-11111-1-1-1-111111-1−iiiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiiiii−i−i−i−iii1-1−ii-11i−i1-1-11
χ3011-1-11111−ii1111-1-1-1-1-1-1-1-111-1-1−i−i−i−iiiii-111-11111−ii1111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiii−i1-1-11i−i−ii-1-1-1-11111-1-1-1-11111-11i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii−i−iiiii−i−i-11i−i1-1−ii-111-1
χ3111-1-11111−ii1111-1-1-1-1-1-1-1-111-1-1−i−i−i−iiiii-111-11111−ii1111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiii−i-111-1−iii−i-1-1-1-11111-1-1-1-111111-1−iiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i−i−iiiii−i−i1-1−ii-11i−i-111-1
χ3211-1-11111−ii1111-1-1-1-1-1-1-1-111-1-1−i−i−i−iiiii-111-11111−ii1111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiii−i-111-1−iii−i-1-1-1-11111-1-1-1-11111-11i−iiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−iii−i−i−i−iii-11i−i1-1−ii1-1-11
χ3322222-1-1-1222-1-1-12-1-1-12-1-1-122222-1-1-12-1-1-122222-1-1-1222-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122222222222-1-1-12-1-1-12-1-1-12-1-1-100002-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-100000000000000000000
χ3422222-1-1-1222-1-1-12-1-1-12-1-1-122222-1-1-12-1-1-122222-1-1-1222-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2-2-2-2-2-2-2-22-1-1-12-1-1-12-1-1-12-1-1-100002-1-1-12-1-1-1-2111-2111-2111-2111-2111-2111-2111-211100000000000000000000
χ3522222-1-1-1222-1-1-12-1-1-12-1-1-122222-1-1-12-1-1-1-2-2-2-22-1-1-1222-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-22i2i−2i−2i2i2i−2i−2i-2111-2111-2111-21110000-2111-21112i−i−i−i2i−i−i−i2i−i−i−i2i−i−i−i−2iiii−2iiii−2iiii−2iiii00000000000000000000
χ3622222-1-1-1222-1-1-12-1-1-12-1-1-122222-1-1-12-1-1-1-2-2-2-22-1-1-1222-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2−2i−2i2i2i−2i−2i2i2i-2111-2111-2111-21110000-2111-2111−2iiii−2iiii−2iiii−2iiii2i−i−i−i2i−i−i−i2i−i−i−i2i−i−i−i00000000000000000000
χ3722222-1-1-1-2-22-1-1-12-1-1-12-1-1-12222-2111-211122222-1-1-1-2-22-1-1-12-1-1-12-1-1-1-2-2111111-2-2111111-2-22222-2-2-2-22-1-1-12-1-1-12-1-1-12-1-1-10000-2111-21112-1-1-12-1-1-1-2111-21112-1-1-12-1-1-1-2111-211100000000000000000000
χ3822222-1-1-1-2-22-1-1-12-1-1-12-1-1-12222-2111-211122222-1-1-1-2-22-1-1-12-1-1-12-1-1-1-2-2111111-2-2111111-2-2-2-2-2-222222-1-1-12-1-1-12-1-1-12-1-1-10000-2111-2111-2111-21112-1-1-12-1-1-1-2111-21112-1-1-12-1-1-100000000000000000000
χ3922222-1-1-1-2-22-1-1-12-1-1-12-1-1-12222-2111-2111-2-2-2-22-1-1-1-2-22-1-1-12-1-1-12-1-1-1-2-2111111-2-2111111222i2i−2i−2i−2i−2i2i2i-2111-2111-2111-211100002-1-1-12-1-1-12i−i−i−i2i−i−i−i−2iiii−2iiii−2iiii−2iiii2i−i−i−i2i−i−i−i00000000000000000000
χ4022222-1-1-1-2-22-1-1-12-1-1-12-1-1-12222-2111-2111-2-2-2-22-1-1-1-2-22-1-1-12-1-1-12-1-1-1-2-2111111-2-211111122−2i−2i2i2i2i2i−2i−2i-2111-2111-2111-211100002-1-1-12-1-1-1−2iiii−2iiii2i−i−i−i2i−i−i−i2i−i−i−i2i−i−i−i−2iiii−2iiii00000000000000000000
χ412222-12-1-122-12-1-1-12-1-1-12-1-12222-12-1-1-12-1-12222-12-1-122-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-12222222222-12-1-1-12-1-1-12-1-1-12-1-10000-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-100000000000000000000
χ422222-12-1-122-12-1-1-12-1-1-12-1-12222-12-1-1-12-1-12222-12-1-122-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-122-2-2-2-2-2-2-2-2-12-1-1-12-1-1-12-1-1-12-1-10000-12-1-1-12-1-11-2111-2111-2111-2111-2111-2111-2111-21100000000000000000000
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χ1328888-48-4-4-8-8-48-4-4-48-4-4-48-4-4-2-2-2-24-8444-84400001-211221-2111-2111-211-1-122-1-1-1-1-1-122-1-1-1-1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1518-88-8-4-48-40044-8444-84-4-48-4-22-2200000000000011-2100-1-12-1-1-12-111-21i15−i15−i15i1500i15−i15i15−i15−i15i1500i15−i15000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1528-88-8-4-4-4800444-8444-8-4-4-48-22-22000000000000111-200-1-1-12-1-1-12111-2−i15i15−i15i15i15−i1500−i15i15−i15i15i15−i1500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1578-8-88-48-4-4004-844-48-4-44-844-222-20000000000001-21100-12-1-11-211-12-1-1−151500−151515−1515−150015−15−1515000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1588-8-88-48-4-4004-844-48-4-44-844-222-20000000000001-21100-12-1-11-211-12-1-115−150015−15−1515−151500−151515−15000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1598-8-88-4-48-40044-84-4-48-444-84-222-200000000000011-2100-1-12-111-21-1-12-1−151515−1500−151515−15−15150015−15000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1608-8-88-4-48-40044-84-4-48-444-84-222-200000000000011-2100-1-12-111-21-1-12-115−15−15150015−15−151515−1500−1515000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1618-8-88-4-4-4800444-8-4-4-48444-8-222-2000000000000111-200-1-1-12111-2-1-1-12−1515−151515−150015−1515−15−151500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1628-8-88-4-4-4800444-8-4-4-48444-8-222-2000000000000111-200-1-1-12111-2-1-1-1215−1515−15−151500−1515−151515−1500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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