Finite Group Databasebeta

← Group #11899693

Character table — Group #11899693

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
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order12222334444668812122424242436666666888121212121212121212242424242424242424242424161616164848484848484848666121212242424242424242424161616161616484848484848484848484848222466666612122224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111-1-1111-1-11111111111111-1-11-1-111-1-11-1-11-1-111111-1-1-1-11111111111111111111-1-11-1-1111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ6111-1-1111-1-11111111111111-1-11-1-111-1-11-1-11-1-111111-1-1-1-11111111111111111111-1-11-1-1111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ7111-1-1111-1-11111111111111-1-11-1-111-1-11-1-11-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ8111-1-1111-1-11111111111111-1-11-1-111-1-11-1-11-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ911-11-111-11-1111111111111-11-1-11-11-11-1-11-1-11-1111-1-111-1-1111111111111111111-11-1-11-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-11-111-1-111-1-11-11-1
χ1011-11-111-11-1111111111111-11-1-11-11-11-1-11-1-11-1111-1-111-1-1111111111111111111-11-1-11-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-11-11
χ1111-11-111-11-1111111111111-11-1-11-11-11-1-11-1-11-1111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1111-1-1-111-1-1111111-1-1-1-111111-11-111-1-111-1-1-11-11
χ1211-11-111-11-1111111111111-11-1-11-11-11-1-11-1-11-1111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1111-1-1-111-1-1111111-1-1-1-11111-11-11-1-111-1-1111-11-1
χ1311-1-1111-1-11111111111111-1-11-1-111-1-11-1-11-1-11111-1-1-1-111111111111111111111-1-11-1-11-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1111-1-11
χ1411-1-1111-1-11111111111111-1-11-1-111-1-11-1-11-1-11111-1-1-1-111111111111111111111-1-11-1-11-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1-111-1
χ1511-1-1111-1-11111111111111-1-11-1-111-1-11-1-11-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-11111111-1-111111111-1-1-1-11-1-1111-1-1-1-111-111-1
χ1611-1-1111-1-11111111111111-1-11-1-111-1-11-1-11-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-11111111-1-111111111-1-1-1-1-111-1-1-11111-1-11-1-11
χ172222222222222-2-222-2-2-2-222222222-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000222222-2-2-2-2-2-2-2-2-20000000000000000000000000000000000
χ18222222-122222-122222222-1222-1-1-1-1222222-1-1-1-1-1-1222222-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000002222-1-1-1-1-1-1-1-10000
χ19222222-122222-122222222-1222-1-1-1-1222222-1-1-1-1-1-1222222-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-2-2-2111111110000
χ20222222-122222-1-2-222-2-2-2-2-1222-1-1-1-1-2-2-2222-1-1-1-1-1-1-2-2-2-2-2-2111111000000000000-1-1-1-1-1-11111111110000000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ21222222-122222-1-2-222-2-2-2-2-1222-1-1-1-1-2-2-2222-1-1-1-1-1-1-2-2-2-2-2-2111111000000000000-1-1-1-1-1-11111111110000000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ2222222-122222-1222-1-1-1-1-1-1-1-1-1-1222-1222-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-12-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2322222-122222-1222-1-1-1-1-1-1-1-1-1-1222-1222-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111-1-1-1-1-1-12-1-12-1-12-1-1-2-2-2-2-2-21111111111110000000000000000
χ2422222-122222-12-2-2-1-11111-1-1-1-1222-1-2-2-2-1-1-12222-1-1111111-2-2111100003333−3−3−3−3-1-1-1-1-1-1-211-211-21100000033−3−333−3−333−3−30000000000000000
χ2522222-122222-12-2-2-1-11111-1-1-1-1222-1-2-2-2-1-1-12222-1-1111111-2-211110000−3−3−3−33333-1-1-1-1-1-1-211-211-211000000−3−333−3−333−3−3330000000000000000
χ262222-222-2-22-22200-2-20000222-222-22000-2-22-2-22-2-2-200000000000022−2−222−2−222−2−222-2-2-220000000002−22−22−22−22−22−22−22−22−20000000000000000
χ272222-222-2-22-22200-2-20000222-222-22000-2-22-2-22-2-2-2000000000000−2−222−2−222−2−22222-2-2-22000000000−22−22−22−22−22−22−22−22−220000000000000000
χ282222-2-12-2-22-2-12001133−3−3-1-1-1122-2-100011-1-2-22-2113−33−33−30033−3−322−2−2ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46-1-1111-103−303−303−32−22−22−2ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ46ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ46ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ460000000000000000
χ292222-2-12-2-22-2-12001133−3−3-1-1-1122-2-100011-1-2-22-2113−33−33−30033−3−3−2−222−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46-1-1111-103−303−303−3−22−22−22−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ46−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ46−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ460000000000000000
χ302222-2-12-2-22-2-120011−3−333-1-1-1122-2-100011-1-2-22-211−33−33−3300−3−33322−2−2ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14-1-1111-10−330−330−332−22−22−2ζ26−ζ46−ζ26+ζ46ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ46ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ46ζ10−ζ14−ζ10+ζ140000000000000000
χ312222-2-12-2-22-2-120011−3−333-1-1-1122-2-100011-1-2-22-211−33−33−3300−3−333−2−222−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14-1-1111-10−330−330−33−22−22−22−ζ26+ζ46ζ26−ζ46−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ46−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ46−ζ10+ζ14ζ10−ζ140000000000000000
χ32222-2222-22-2-22200-2-2000022-222-222000-22-2-22-2-2-2-200000000000022−2−222−2−222−2−22-22-22-20000000002−2−22−222−22−2−22−22−22−220000000000000000
χ33222-2222-22-2-22200-2-2000022-222-222000-22-2-22-2-2-2-2000000000000−2−222−2−222−2−2222-22-22-2000000000−222−22−2−22−222−22−22−22−20000000000000000
χ34222-22-12-22-2-2-12001133−3−3-1-11-12-22-10001-11-22-2-2113−3−33−330033−3−322−2−2ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46-11-11-1103−30−330−332−2−22−22ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ46−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ46−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ460000000000000000
χ35222-22-12-22-2-2-12001133−3−3-1-11-12-22-10001-11-22-2-2113−3−33−330033−3−3−2−222−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46-11-11-1103−30−330−33−222−22−2−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ46ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ46ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ460000000000000000
χ36222-22-12-22-2-2-120011−3−333-1-11-12-22-10001-11-22-2-211−333−33−300−3−33322−2−2ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14-11-11-110−3303−303−32−2−22−22ζ26−ζ46−ζ26+ζ46ζ10−ζ14−ζ10+ζ14−ζ26+ζ46ζ26−ζ46−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ46−ζ10+ζ14ζ10−ζ140000000000000000
χ37222-22-12-22-2-2-120011−3−333-1-11-12-22-10001-11-22-2-211−333−33−300−3−333−2−222−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14-11-11-110−3303−303−3−222−22−2−ζ26+ζ46ζ26−ζ46−ζ10+ζ14ζ10−ζ14ζ26−ζ46−ζ26+ζ46ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ46ζ10−ζ14−ζ10+ζ140000000000000000
χ38222-2-2222-2-2222-2-222-2-2-2-222-2-22-2-22-2222-2-22-2-2222-2-22222-2-2-2-2-2-20000000000002-2-22-2-2-2-2-22222220000000000000000000000000000000000
χ39222-2-22-12-2-222-122222222-12-2-2-111-12-2-22-2-2-111-1-1-122-2-2-2-2-1-1-1-1-1-1000000000000-111-111-1-1-111111100000000000000000022-2-2-1-1-1-111110000
χ40222-2-22-12-2-222-122222222-12-2-2-111-12-2-22-2-2-111-1-1-122-2-2-2-2-1-1-1-1-1-1000000000000-111-111-1-1-1111111000000000000000000-2-2221111-1-1-1-10000
χ41222-2-22-12-2-222-1-2-222-2-2-2-2-12-2-2-111-1-2222-2-2-111-1-1-1-2-22222111111000000000000-111-111111-1-1-1-1-1-10000000000000000000000−i3i3−i3i3i3−i3i3−i30000
χ42222-2-22-12-2-222-1-2-222-2-2-2-2-12-2-2-111-1-2222-2-2-111-1-1-1-2-22222111111000000000000-111-111111-1-1-1-1-1-10000000000000000000000i3−i3i3−i3−i3i3−i3i30000
χ43222-2-2-122-2-22-1222-1-1-1-1-1-1-1-1112-2-2-12-2-2-1112-2-22-1-1-1-1111122-1-1-1-12222-1-1-1-1-1-1-1-1-111-1112-1-1-211-21122-2-2-2-2-1-1-1-1111111110000000000000000
χ44222-2-2-122-2-22-1222-1-1-1-1-1-1-1-1112-2-2-12-2-2-1112-2-22-1-1-1-1111122-1-1-1-1-2-2-2-211111111-111-1112-1-1-211-211-2-222221111-1-1-1-1-1-1-1-10000000000000000
χ45222-2-2-122-2-22-12-2-2-1-11111-1-1112-2-2-1-222-1112-2-22-1-111-1-1-1-1-2-2111100003333−3−3−3−3-111-111-2112-1-12-1-100000033−3−3−3−333−3−3330000000000000000
χ46222-2-2-122-2-22-12-2-2-1-11111-1-1112-2-2-1-222-1112-2-22-1-111-1-1-1-1-2-211110000−3−3−3−33333-111-111-2112-1-12-1-1000000−3−33333−3−333−3−30000000000000000
χ4722-222222-2-2-22200-2-200002-222-22220002-2-22-2-2-2-2-200000000000022−2−222−2−222−2−2-2222-2-2000000000−222−2−22−22−222−22−2−22−220000000000000000
χ4822-222222-2-2-22200-2-200002-222-22220002-2-22-2-2-2-2-2000000000000−2−222−2−222−2−222-2222-2-20000000002−2−222−22−22−2−22−222−22−20000000000000000
χ4922-222-122-2-2-2-12001133−3−3-11-1-1-222-1000-1112-2-2-211−333−3−330033−3−322−2−2ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ461-1-1-1110−3303−30−33−222−2−22−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ46ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ46−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ460000000000000000
χ5022-222-122-2-2-2-12001133−3−3-11-1-1-222-1000-1112-2-2-211−333−3−330033−3−3−2−222−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ461-1-1-1110−3303−30−332−2−222−2ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ46−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ46ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ460000000000000000
χ5122-222-122-2-2-2-120011−3−333-11-1-1-222-1000-1112-2-2-2113−3−333−300−3−33322−2−2ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ141-1-1-11103−30−3303−3−222−2−22−ζ26+ζ46ζ26−ζ46−ζ10+ζ14ζ10−ζ14ζ26−ζ46−ζ26+ζ46ζ10−ζ14−ζ10+ζ14−ζ26+ζ46ζ26−ζ46−ζ10+ζ14ζ10−ζ140000000000000000
χ5222-222-122-2-2-2-120011−3−333-11-1-1-222-1000-1112-2-2-2113−3−333−300−3−333−2−222−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ141-1-1-11103−30−3303−32−2−222−2ζ26−ζ46−ζ26+ζ46ζ10−ζ14−ζ10+ζ14−ζ26+ζ46ζ26−ζ46−ζ10+ζ14ζ10−ζ14ζ26−ζ46−ζ26+ζ46ζ10−ζ14−ζ10+ζ140000000000000000
χ5322-22-222-22-2222-2-222-2-2-2-22-22-2-22-222-22-22-2-22-222222-2-222-2-2-2-2-2-2000000000000-22-2-22-2222-2-2-22220000000000000000000000000000000000
χ5422-22-22-1-22-222-122222222-1-22-21-11-1-22-2-22-21-11-1-1-1-2-222-2-2-1-1-1-1-1-10000000000001-111-11111-1-1-11110000000000000000002-22-2-1-111-1-1110000
χ5522-22-22-1-22-222-122222222-1-22-21-11-1-22-2-22-21-11-1-1-1-2-222-2-2-1-1-1-1-1-10000000000001-111-11111-1-1-1111000000000000000000-22-2211-1-111-1-10000
χ5622-22-22-1-22-222-1-2-222-2-2-2-2-1-22-21-11-12-22-22-21-11-1-1-122-2-2221111110000000000001-111-11-1-1-1111-1-1-10000000000000000000000−i3i3i3−i3−i3i3i3−i30000
χ5722-22-22-1-22-222-1-2-222-2-2-2-2-1-22-21-11-12-22-22-21-11-1-1-122-2-2221111110000000000001-111-11-1-1-1111-1-1-10000000000000000000000i3−i3−i3i3i3−i3−i3i30000
χ5822-22-2-12-22-22-1222-1-1-1-1-1-1-11-11-22-2-1-22-21-11-22-22-1-111-1-11122-1-1-1-12222-1-1-1-1-1-1-1-11-111-11-2112-1-1-211-2-222-2-21111-1-1-1-111110000000000000000
χ5922-22-2-12-22-22-1222-1-1-1-1-1-1-11-11-22-2-1-22-21-11-22-22-1-111-1-11122-1-1-1-1-2-2-2-2111111111-111-11-2112-1-1-21122-2-222-1-1-1-11111-1-1-1-10000000000000000
χ6022-22-2-12-22-22-12-2-2-1-11111-11-11-22-2-12-221-11-22-22-1-1-1-111-1-1-2-2111100003333−3−3−3−31-111-112-1-1-2112-1-1000000−3−33333−3−3−3−3330000000000000000
χ6122-22-2-12-22-22-12-2-2-1-11111-11-11-22-2-12-221-11-22-22-1-1-1-111-1-1-2-211110000−3−3−3−333331-111-112-1-1-2112-1-100000033−3−3−3−33333−3−30000000000000000
χ6222-2-2222-2-22222-2-222-2-2-2-22-2-22-2-22222-2-2-22-2-222222222-2-2-2-2-2-2-2-2000000000000-2-22-2-22222222-2-2-20000000000000000000000000000000000
χ6322-2-222-1-2-2222-122222222-1-2-2211-1-1-2-22-2-2211-1-1-1-1-2-2-2-222-1-1-1-1-1-100000000000011-111-1111111-1-1-10000000000000000002-2-22-1-11111-1-10000
χ6422-2-222-1-2-2222-122222222-1-2-2211-1-1-2-22-2-2211-1-1-1-1-2-2-2-222-1-1-1-1-1-100000000000011-111-1111111-1-1-1000000000000000000-222-211-1-1-1-1110000
χ6522-2-222-1-2-2222-1-2-222-2-2-2-2-1-2-2211-1-122-2-2-2211-1-1-1-12222-2-211111100000000000011-111-1-1-1-1-1-1-11110000000000000000000000−i3i3i3−i3i3−i3−i3i30000
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Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.