Finite Group Databasebeta

← Group #72222799

Character table — Group #72222799

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1122222224444444444446666666688888888888888888812121212121212121212161616161616161616161616161616242424242424242424242424242424242424242424323232323636363648484848484848484848727272727272
order1223344663666881212121224242244668822688121216162424242424484848484468881212242466662424242424484848484848222444881212161616162424244848484866242444886661212122424484824441616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-111-1-1111111111111111111111-1-1-1-111-1-111-1-11-1-111111111-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-111-1-111111-1-1-1-111111111111111-1-1-1-11-1-1-1-1-1-111-1-111-1-111-1-1-1-1111-1-1-1-111-1-11111-111-111-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111-1-111-1-111111-1-1-1-1-1-111-1-111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111
χ511111111111111111111111111111-1-111111-1-111111-1-1-1-11111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111-1-1-1-1-1-11111111-1-11-1-111-1-111-1-1-1-1
χ611111111111111111111111111111-1-111111-1-111111-1-1-1-1-1-111-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111
χ711111111111111111111111111111-1-11-1-111111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111
χ811111111111111111111111111111-1-11-1-11111111111111-1-111-1-11111-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-111-1-11-1-11111-1-1-1-1-1-1-1-11-1-1111-1-1-1-11111-1-1
χ9111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1111111111111111-1-11111-1-111-1-111-111-1-1-1-11111-1-1-1-11-1-1111-1-111-1-1-1-1-1-1
χ10111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111
χ11111111111111111111111-1-1-1-1-1-1-1-1111-1-111-1-111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ12111111111111111111111-1-1-1-1-1-1-1-1111-1-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1111111-1-111111-1-11-1-11111-1-111-1-1
χ13111111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ14111111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-11111-1-1111111-111-111-1-11111-1-1-1-1
χ15111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111111-1-1
χ16111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ1711-1111-1111-11-1-1111-1-1-1-11-11-111-1-11-1-1i−i1-1i−i1-1-1-11ii−i−ii−i-11i−i1-1-1-11-11-1i−ii−i1iii−i−i−i1-11-1i−ii−ii−ii−i1-11i−iii−i−i1-1i−ii−ii−i11-1-1i−ii−i1-1-11i−i1-1
χ1811-1111-1111-11-1-1111-1-1-1-11-11-111-1-11-1-1i−i1-1i−i1-1-1-11ii−i−i−ii-11−ii1-1-1-11-11-1i−ii−i1iii−i−i−i1-1-11−iii−i−iii−i-111−iiii−i−i1-1i−i−ii−ii-11-11−iii−i-111-1−ii-11
χ1911-1111-1111-11-1-1111-1-1-1-11-11-111-1-11-1-1−ii1-1−ii1-1-1-11−i−iiii−i-11i−i1-1-1-11-11-1−ii−ii1−i−i−iiii1-1-11i−i−iii−i−ii-111i−i−i−iii1-1−iii−ii−i-11-11i−i−ii-111-1i−i-11
χ2011-1111-1111-11-1-1111-1-1-1-11-11-111-1-11-1-1−ii1-1−ii1-1-1-11−i−iii−ii-11−ii1-1-1-11-11-1−ii−ii1−i−i−iiii1-11-1−ii−ii−ii−ii1-11−ii−i−iii1-1−ii−ii−ii11-1-1−ii−ii1-1-11−ii1-1
χ2111-1111-1111-11-1-1111-1-1-1-11-11-111-1-1-11-1i−i1-1−ii1-1-1-11−i−iiii−i-11i−i1-1-1-1-11-11i−ii−i1−i−i−iiii-111-1−iii−ii−i−ii-111i−i−i−iii-11i−ii−ii−i1-11-1−iii−i-11-11−ii-11
χ2211-1111-1111-11-1-1111-1-1-1-11-11-111-1-1-11-1i−i1-1−ii1-1-1-11−i−iii−ii-11−ii1-1-1-1-11-11i−ii−i1−i−i−iiii-11-11i−ii−i−ii−ii1-11−ii−i−iii-11i−i−ii−ii-1-111i−ii−i1-11-1i−i1-1
χ2311-1111-1111-11-1-1111-1-1-1-11-11-111-1-1-11-1−ii1-1i−i1-1-1-11ii−i−ii−i-11i−i1-1-1-1-11-11−ii−ii1iii−i−i−i-11-11−ii−iii−ii−i1-11i−iii−i−i-11−iii−ii−i-1-111−ii−ii1-11-1−ii1-1
χ2411-1111-1111-11-1-1111-1-1-1-11-11-111-1-1-11-1−ii1-1i−i1-1-1-11ii−i−i−ii-11−ii1-1-1-1-11-11−ii−ii1iii−i−i−i-111-1i−i−ii−iii−i-111−iiii−i−i-11−ii−ii−ii1-11-1i−i−ii-11-11i−i-11
χ2511-1111-1111-11-1-1111-1-1-1-1-11-11-1-1111-1-1i−i1-1i−i1-1-1-11ii−i−ii−i1-1i−i-11111-11-1i−ii−i1iii−i−i−i-111-1i−i−iii−i−ii1-1-1i−i−i−iii1-1i−i−ii−ii1-11-1i−i−ii1-11-1−ii-11
χ2611-1111-1111-11-1-1111-1-1-1-1-11-11-1-1111-1-1i−i1-1i−i1-1-1-11ii−i−i−ii1-1−ii-11111-11-1i−ii−i1iii−i−i−i-11-11−ii−ii−ii−ii-11-1−ii−i−iii1-1i−ii−ii−i-1-111−ii−ii-11-11i−i1-1
χ2711-1111-1111-11-1-1111-1-1-1-1-11-11-1-1111-1-1−ii1-1−ii1-1-1-11−i−iiii−i1-1i−i-11111-11-1−ii−ii1−i−i−iiii-11-11i−ii−ii−ii−i-11-1i−iii−i−i1-1−ii−ii−ii-1-111i−ii−i-11-11−ii1-1
χ2811-1111-1111-11-1-1111-1-1-1-1-11-11-1-1111-1-1−ii1-1−ii1-1-1-11−i−iii−ii1-1−ii-11111-11-1−ii−ii1−i−i−iiii-111-1−iii−i−iii−i1-1-1−iiii−i−i1-1−iii−ii−i1-11-1−iii−i1-11-1i−i-11
χ2911-1111-1111-11-1-1111-1-1-1-1-11-11-1-111-11-1i−i1-1−ii1-1-1-11−i−iiii−i1-1i−i-1111-11-11i−ii−i1−i−i−iiii1-11-1−ii−iii−ii−i-11-1i−iii−i−i-11i−i−ii−ii11-1-1−ii−ii-111-1i−i1-1
χ3011-1111-1111-11-1-1111-1-1-1-1-11-11-1-111-11-1i−i1-1−ii1-1-1-11−i−iii−ii1-1−ii-1111-11-11i−ii−i1−i−i−iiii1-1-11i−i−ii−iii−i1-1-1−iiii−i−i-11i−ii−ii−i-11-11i−i−ii1-1-11−ii-11
χ3111-1111-1111-11-1-1111-1-1-1-1-11-11-1-111-11-1−ii1-1i−i1-1-1-11ii−i−ii−i1-1i−i-1111-11-11−ii−ii1iii−i−i−i1-1-11−iii−ii−i−ii1-1-1i−i−i−iii-11−ii−ii−ii-11-11−iii−i1-1-11i−i-11
χ3211-1111-1111-11-1-1111-1-1-1-1-11-11-1-111-11-1−ii1-1i−i1-1-1-11ii−i−i−ii1-1−ii-1111-11-11−ii−ii1iii−i−i−i1-11-1i−ii−i−ii−ii-11-1−ii−i−iii-11−iii−ii−i11-1-1i−ii−i-111-1−ii1-1
χ332222222222222-2-22222-2-2222222-2-2002002200-2-2-2-2-20000222-2-2-222-2-200000000-200000000000000220000-2-2-20000000022-2-20000000000000000
χ342222222222222-2-22222-2-2222222-2-2002002200-2-2-2-2-20000-2-22-22222-2-200000000-200000000000000-2-20000-22200000000-2-2220000000000000000
χ352222222222222-2-22222-2-2-2-2-2-2-2-222002002200-2-2-2-2-2000022-22-2-2-2-22200000000-2000000000000002200002-2-200000000-2-2220000000000000000
χ362222222222222-2-22222-2-2-2-2-2-2-2-222002002200-2-2-2-2-20000-2-2-2222-2-22200000000-200000000000000-2-200002220000000022-2-20000000000000000
χ372222-122-12-1-1-12222-12-1-1-12222-1-12222-122-1-122-12-1-12-1-1-1-100-1200-1-1-1-122-1-122-1-1-12-1-12-1-122000022002200-100-1-1-1-1-1-1-1-100000-1-1000-1-100000000
χ382222-122-12-1-1-12222-12-1-1-12222-1-12222-1-2-2-1-1-2-2-12-1-12111100-1200-1-1-1-122-1-1-2-211-1-211-211220000-2-200-2-200-1001111-1-11100000-1-10001100000000
χ392222-122-12-1-1-12222-12-1-1-12222-1-122-2-2-122-1-1-2-2-12-1-12111100-1200-1-1-1-1-2-21122-1-1-1-211-211-2-200002200-2-200-100111111-1-10000011000-1-100000000
χ402222-122-12-1-1-12222-12-1-1-12222-1-122-2-2-1-2-2-1-122-12-1-12-1-1-1-100-1200-1-1-1-1-2-211-2-211-12-1-12-1-1-2-20000-2-2002200-100-1-1-1-1111100000110001100000000
χ412222-122-12-1-1-12222-12-1-1-1-2-2-2-211-2-222-122-1-122-12-1-12-1-1-1-1001-200111122-1-122-1-1-12-1-12-1-1-2-20000-2-200-2-2001001111-1-1-1-100000110001100000000
χ422222-122-12-1-1-12222-12-1-1-1-2-2-2-211-2-222-1-2-2-1-1-2-2-12-1-121111001-200111122-1-1-2-211-1-211-211-2-2000022002200100-1-1-1-1-1-1110000011000-1-100000000
χ432222-122-12-1-1-12222-12-1-1-1-2-2-2-211-2-2-2-2-122-1-1-2-2-12-1-121111001-2001111-2-21122-1-1-1-211-211220000-2-2002200100-1-1-1-111-1-100000-1-10001100000000
χ442222-122-12-1-1-12222-12-1-1-1-2-2-2-211-2-2-2-2-1-2-2-1-122-12-1-12-1-1-1-1001-2001111-2-211-2-211-12-1-12-1-12200002200-2-2001001111111100000-1-1000-1-100000000
χ45222-12222-1-12-1-122-12-12220000000022-122-1-1222-1-1-1-122222200220000-1-122-1-122-1-1-1-1-1-1-100222200-1-100220-1-10000-1-1-1-10000-100-1-1-100-1-1000000
χ46222-12222-1-12-1-122-12-12220000000022-122-1-1222-1-1-1-12222-2-200-2-20000-1-122-1-122-1-1-1-1-1-1-100-2-2-2-2001100-2-20110000-1-1-1-100001001110011000000
χ47222-12222-1-12-1-122-12-12220000000022-1-2-2-1-1-2-22-1-1-1-1-2-2-2-22200220000-1-12211-2-2-111111100-2-22200-1-100-2-20-1-10000-1-11100001001-1-10011000000
χ48222-12222-1-12-1-122-12-12220000000022-1-2-2-1-1-2-22-1-1-1-1-2-2-2-2-2-200-2-20000-1-12211-2-2-11111110022-2-2001100220110000-1-1110000-100-11100-1-1000000
χ49222-12222-1-12-1-122-12-122200000000-2-2-122-1-1-2-22-1-1-1-1-2-2-2-2220022000011-2-2-1-122-11111110022-2-200-1-100-2-20-1-1000011-1-10000-100-1110011000000
χ50222-12222-1-12-1-122-12-122200000000-2-2-122-1-1-2-22-1-1-1-1-2-2-2-2-2-200-2-2000011-2-2-1-122-111111100-2-22200110022011000011-1-100001001-1-100-1-1000000
χ51222-12222-1-12-1-122-12-122200000000-2-2-1-2-2-1-1222-1-1-1-12222220022000011-2-211-2-2-1-1-1-1-1-1-100-2-2-2-200-1-100220-1-100001111000010011100-1-1000000
χ52222-12222-1-12-1-122-12-122200000000-2-2-1-2-2-1-1222-1-1-1-12222-2-200-2-2000011-2-211-2-2-1-1-1-1-1-1-1002222001100-2-2011000011110000-100-1-1-10011000000
χ5322-2222-2222-22-22-222-2-2222-22-2222200-2002-200-2222-200002i−2i-2-2−2i2i2-22200000000-2000000000000002i−2i0000-2−2i2i000000002i−2i−2i2i0000000000000000
χ5422-2222-2222-22-22-222-2-2222-22-2222200-2002-200-2222-20000−2i2i-2-22i−2i2-22200000000-200000000000000−2i2i0000-22i−2i00000000−2i2i2i−2i0000000000000000
χ5522-2222-2222-22-22-222-2-222-22-22-2-2-2-200-2002-200-2222-200002i−2i22−2i2i-22-2-200000000-2000000000000002i−2i00002−2i2i00000000−2i2i2i−2i0000000000000000
χ5622-2222-2222-22-22-222-2-222-22-22-2-2-2-200-2002-200-2222-20000−2i2i222i−2i-22-2-200000000-200000000000000−2i2i000022i−2i000000002i−2i−2i2i0000000000000000
χ5722-22-12-2-12-11-1-2-222-1-21112-22-2-1-1-2-22-212i−2i-112i−2i-1-2112−i−iii001200-11112-2-112i−2i−ii-12i−i−i−2iii2-200002i−2i002i−2i00-100−i−iii-11−ii00000-11000−ii00000000
χ5822-22-12-2-12-11-1-2-222-1-21112-22-2-1-1-2-22-21−2i2i-11−2i2i-1-2112ii−i−i001200-11112-2-11−2i2ii−i-1−2iii2i−i−i2-20000−2i2i00−2i2i00-100ii−i−i-11i−i00000-11000i−i00000000
χ5922-22-12-2-12-11-1-2-222-1-21112-22-2-1-1-2-2-2212i−2i-11−2i2i-1-2112ii−i−i001200-1111-221-12i−2i−ii-1−2iii2i−i−i-2200002i−2i00−2i2i00-100ii−i−i1-1−ii000001-1000−ii00000000
χ6022-22-12-2-12-11-1-2-222-1-21112-22-2-1-1-2-2-221−2i2i-112i−2i-1-2112−i−iii001200-1111-221-1−2i2ii−i-12i−i−i−2iii-220000−2i2i002i−2i00-100−i−iii1-1i−i000001-1000i−i00000000
χ6122-22-12-2-12-11-1-2-222-1-2111-22-2211222-212i−2i-112i−2i-1-2112−i−iii00-1-2001-1-1-12-2-112i−2i−ii-12i−i−i−2iii-220000−2i2i00−2i2i00100ii−i−i-11−ii000001-1000i−i00000000
χ6222-22-12-2-12-11-1-2-222-1-2111-22-2211222-21−2i2i-11−2i2i-1-2112ii−i−i00-1-2001-1-1-12-2-11−2i2ii−i-1−2iii2i−i−i-2200002i−2i002i−2i00100−i−iii-11i−i000001-1000−ii00000000
χ6322-22-12-2-12-11-1-2-222-1-2111-22-221122-2212i−2i-11−2i2i-1-2112ii−i−i00-1-2001-1-1-1-221-12i−2i−ii-1−2iii2i−i−i2-20000−2i2i002i−2i00100−i−iii1-1−ii00000-11000i−i00000000
χ6422-22-12-2-12-11-1-2-222-1-2111-22-221122-221−2i2i-112i−2i-1-2112−i−iii00-1-2001-1-1-1-221-1−2i2ii−i-12i−i−i−2iii2-200002i−2i00−2i2i00100ii−i−i1-1i−i00000-11000−ii00000000
χ6522-2-122-22-1-1-2-11-22-121-2-2-2000000002-212i−2i-112i−2i2111-12i2i−2i−2i2i−2i002i−2i0000-112-2−ii2i−2i-1−i−i−iiii002-22i−2i00−ii002-20−ii0000-11−ii0000-1001−ii00-11000000
χ6622-2-122-22-1-1-2-11-22-121-2-2-2000000002-212i−2i-112i−2i2111-12i2i−2i−2i−2i2i00−2i2i0000-112-2−ii2i−2i-1−i−i−iiii00-22−2i2i00i−i00-220i−i0000-11−ii0000100-1i−i001-1000000
χ6722-2-122-22-1-1-2-11-22-121-2-2-2000000002-21−2i2i-11−2i2i2111-1−2i−2i2i2i2i−2i002i−2i0000-112-2i−i−2i2i-1iii−i−i−i00-222i−2i00−ii00-220−ii0000-11i−i0000100-1−ii001-1000000
χ6822-2-122-22-1-1-2-11-22-121-2-2-2000000002-21−2i2i-11−2i2i2111-1−2i−2i2i2i−2i2i00−2i2i0000-112-2i−i−2i2i-1iii−i−i−i002-2−2i2i00i−i002-20i−i0000-11i−i0000-1001i−i00-11000000
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χ7022-2-122-22-1-1-2-11-22-121-2-2-200000000-2212i−2i-11−2i2i2111-1−2i−2i2i2i−2i2i00−2i2i00001-1-22−ii2i−2i-1iii−i−i−i00-222i−2i00i−i002-20i−i00001-1−ii0000100-1−ii00-11000000
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χ11516-160-81600-168-808000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).