Finite Group Databasebeta

← Group #72222795

Character table — Group #72222795

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1122222224444444444446666666688888888888888888812121212121212121212161616161616161616161616161616242424242424242424242424242424242424242424323232323636363648484848484848484848727272727272
order1223344663666881212121224242244881212226881212161624242424244848484844668881224246666242424242448484848484824444488121216161616242424484848486624244488612121212122424484824441616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1111-1-1111111111111111111-111-1-1-111-1-111-1-11-1-111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-111-1-111111-1-1-1-111111111111111-1-1-1-11-1-1-1-1-1-1-111-111-1-111-1-1-1-1111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111-1-111-1-111111-1-1-1-1-1-1111-1-11111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111
χ511111111111111111111111111111-1-111111-1-111111-1-1-1-11111111111-1-1-1-111111-1-1-1-1-1-11-1-11-1-11111-1-1-1-1111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1
χ611111111111111111111111111111-1-111111-1-111111-1-1-1-1-1-1111-1-1111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111
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
χ811111111111111111111111111111-1-11-1-11111111111111-1-1111-1-1111-1-1-1-1-1-1-1-111111111-1-1111-1-1-1-111-1-11-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1
χ9111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-111-1-1-11111111111111111-1-1111-1-111-1-111-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-1-1
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
χ11111111111111111111111-1-1-1-1-1-1-1-1111-1-111-1-111111-1-1-1-111-1-1-111-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ12111111111111111111111-1-1-1-1-1-1-1-1111-1-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1-11-1-11-1-111-1-11111-1-1-1111111-1-1111111-1-1-1-11111-1-111-1-1
χ13111111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-111111-1-1-1-111-1-1-111-1-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ14111111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-111-111-1-1-1-11111-1-1-11111-1-1111111-1-11111-1-11111-1-1-1-1
χ15111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-11111111-111-1-1-11111-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1
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−i1-1-1i−i1111-11-1i−ii−i1iii−i−i−i11-1-1i−ii−ii−ii−i1-1-1i−iii−i−i1-1i−ii−ii−i1-11-1i−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−ii1-1-1−ii1111-11-1i−ii−i1iii−i−i−i-11-11−iii−i−iii−i-11-1−iiii−i−i1-1i−i−ii−ii-111-1−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−i1-1-1i−i1111-11-1−ii−ii1−i−i−iiii-11-11i−i−iii−i−ii-11-1i−i−i−iii1-1−iii−ii−i-111-1i−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−ii1-1-1−ii1111-11-1−ii−ii1−i−i−iiii11-1-1−ii−ii−ii−ii1-1-1−ii−i−iii1-1−ii−ii−ii1-11-1−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−i1-1-1i−i111-11-11i−ii−i1−i−i−iiii1-11-1−iii−ii−i−ii-11-1i−i−i−iii-11i−ii−ii−i1-1-11−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−ii1-1-1−ii111-11-11i−ii−i1−i−i−iiii-1-111i−ii−i−ii−ii1-1-1−ii−i−iii-11i−i−ii−ii-11-11i−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−i1-1-1i−i111-11-11−ii−ii1iii−i−i−i-1-111−ii−iii−ii−i1-1-1i−iii−i−i-11−iii−ii−i-11-11−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−ii1-1-1−ii111-11-11−ii−ii1iii−i−i−i1-11-1i−i−ii−iii−i-11-1−iiii−i−i-11−ii−ii−ii1-1-11i−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−i-111i−i-1-1-11-11-1i−ii−i1iii−i−i−i1-11-1i−i−iii−i−ii1-11i−i−i−iii1-1i−i−ii−ii1-1-11i−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−ii-111−ii-1-1-11-11-1i−ii−i1iii−i−i−i-1-111−ii−ii−ii−ii-111−ii−i−iii1-1i−ii−ii−i-11-11−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−i-111i−i-1-1-11-11-1−ii−ii1−i−i−iiii-1-111i−ii−ii−ii−i-111i−iii−i−i1-1−ii−ii−ii-11-11i−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−ii-111−ii-1-1-11-11-1−ii−ii1−i−i−iiii1-11-1−iii−i−iii−i1-11−iiii−i−i1-1−iii−ii−i1-1-11−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−i-111i−i-1-1-1-11-11i−ii−i1−i−i−iiii11-1-1−ii−iii−ii−i-111i−iii−i−i-11i−i−ii−ii1-11-1−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−ii-111−ii-1-1-1-11-11i−ii−i1−i−i−iiii-11-11i−i−ii−iii−i1-11−iiii−i−i-11i−ii−ii−i-111-1i−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−i-111i−i-1-1-1-11-11−ii−ii1iii−i−i−i-11-11−iii−ii−i−ii1-11i−i−i−iii-11−ii−ii−ii-111-1−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−ii-111−ii-1-1-1-11-11−ii−ii1iii−i−i−i11-1-1i−ii−i−ii−ii-111−ii−i−iii-11−iii−ii−i1-11-1i−ii−i-111-1−ii1-1
χ332222222222222-2-22222-2-22222-2-222002002200-2-2-2-2-200002222-2-2-22-2-200000000-200000000000000220000-2-2-20000000022-2-20000000000000000
χ342222222222222-2-22222-2-22222-2-222002002200-2-2-2-2-20000-2-222-2222-2-200000000-200000000000000-2-20000-22200000000-2-2220000000000000000
χ352222222222222-2-22222-2-2-2-2-2-222-2-2002002200-2-2-2-2-2000022-2-22-2-2-22200000000-2000000000000002200002-2-200000000-2-2220000000000000000
χ362222222222222-2-22222-2-2-2-2-2-222-2-2002002200-2-2-2-2-20000-2-2-2-2222-22200000000-200000000000000-2-200002220000000022-2-20000000000000000
χ372222-122-12-12-1-122-12-12220000000022-122-1-1222-1-1-1-12222220002200022-1-1-1-122-1-1-1-1-1-1-120022200-1-100220-1-10000-1-1-1-10000-1-100-1-100-1-1000000
χ382222-122-12-12-1-122-12-12220000000022-122-1-1222-1-1-1-12222-2-2000-2-200022-1-1-1-122-1-1-1-1-1-1-1-200-2-2-2001100-2-20110000-1-1-1-100001100110011000000
χ392222-122-12-12-1-122-12-12220000000022-1-2-2-1-1-2-22-1-1-1-1-2-2-2-2220002200022-1-111-2-2-1111111-200-22200-1-100-2-20-1-10000-1-11100001100-1-10011000000
χ402222-122-12-12-1-122-12-12220000000022-1-2-2-1-1-2-22-1-1-1-1-2-2-2-2-2-2000-2-200022-1-111-2-2-11111112002-2-2001100220110000-1-1110000-1-1001100-1-1000000
χ412222-122-12-12-1-122-12-122200000000-2-2-122-1-1-2-22-1-1-1-1-2-2-2-22200022000-2-211-1-122-11111112002-2-200-1-100-2-20-1-1000011-1-10000-1-100110011000000
χ422222-122-12-12-1-122-12-122200000000-2-2-122-1-1-2-22-1-1-1-1-2-2-2-2-2-2000-2-2000-2-211-1-122-1111111-200-22200110022011000011-1-100001100-1-100-1-1000000
χ432222-122-12-12-1-122-12-122200000000-2-2-1-2-2-1-1222-1-1-1-122222200022000-2-21111-2-2-1-1-1-1-1-1-1-200-2-2-200-1-100220-1-100001111000011001100-1-1000000
χ442222-122-12-12-1-122-12-122200000000-2-2-1-2-2-1-1222-1-1-1-12222-2-2000-2-2000-2-21111-2-2-1-1-1-1-1-1-1200222001100-2-2011000011110000-1-100-1-10011000000
χ45222-12222-1-1-1-12222-12-1-1-1222222-1-122-122-1-122-12-1-12-1-1-1-100-1-1200-1-1-1-1-12222-1-1-12-1-12-1-102200022002200-100-1-1-1-1-1-1-1-1000000-1-100-1-100000000
χ46222-12222-1-1-1-12222-12-1-1-1222222-1-122-1-2-2-1-1-2-2-12-1-12111100-1-1200-1-1-1-1-122-2-211-1-211-211022000-2-200-2-200-1001111-1-111000000-1-1001100000000
χ47222-12222-1-1-1-12222-12-1-1-1222222-1-1-2-2-122-1-1-2-2-12-1-12111100-1-1200-1-1-111-2-222-1-1-1-211-2110-2-20002200-2-200-100111111-1-10000001100-1-100000000
χ48222-12222-1-1-1-12222-12-1-1-1222222-1-1-2-2-1-2-2-1-122-12-1-12-1-1-1-100-1-1200-1-1-111-2-2-2-211-12-1-12-1-10-2-2000-2-2002200-100-1-1-1-1111100000011001100000000
χ49222-12222-1-1-1-12222-12-1-1-1-2-2-2-2-2-21122-122-1-122-12-1-12-1-1-1-10011-200111-1-12222-1-1-12-1-12-1-10-2-2000-2-200-2-2001001111-1-1-1-100000011001100000000
χ50222-12222-1-1-1-12222-12-1-1-1-2-2-2-2-2-21122-1-2-2-1-1-2-2-12-1-1211110011-200111-1-122-2-211-1-211-2110-2-200022002200100-1-1-1-1-1-1110000001100-1-100000000
χ51222-12222-1-1-1-12222-12-1-1-1-2-2-2-2-2-211-2-2-122-1-1-2-2-12-1-1211110011-20011111-2-222-1-1-1-211-211022000-2-2002200100-1-1-1-111-1-1000000-1-1001100000000
χ52222-12222-1-1-1-12222-12-1-1-1-2-2-2-2-2-211-2-2-1-2-2-1-122-12-1-12-1-1-1-10011-20011111-2-2-2-211-12-1-12-1-10220002200-2-20010011111111000000-1-100-1-100000000
χ5322-2222-2222-22-22-222-2-2222-22-2-2-2-2-200-2002-200-2222-200002i−2i2-22−2i2i2-2-200000000-2000000000000002i−2i00002−2i2i000000002i−2i−2i2i0000000000000000
χ5422-2222-2222-22-22-222-2-2222-22-2-2-2-2-200-2002-200-2222-20000−2i2i2-222i−2i2-2-200000000-200000000000000−2i2i000022i−2i00000000−2i2i2i−2i0000000000000000
χ5522-2222-2222-22-22-222-2-222-22-22222200-2002-200-2222-200002i−2i-22-2−2i2i-22200000000-2000000000000002i−2i0000-2−2i2i00000000−2i2i2i−2i0000000000000000
χ5622-2222-2222-22-22-222-2-222-22-22222200-2002-200-2222-20000−2i2i-22-22i−2i-22200000000-200000000000000−2i2i0000-22i−2i000000002i−2i−2i2i0000000000000000
χ5722-22-12-2-12-1-2-11-22-121-2-2-2000000002-212i−2i-112i−2i2111-12i2i−2i−2i2i−2i0002i−2i0002-2-11−ii2i−2i-1−i−i−iiii200-22i−2i00−ii002-20−ii0000-11−ii0000-1100−ii00-11000000
χ5822-22-12-2-12-1-2-11-22-121-2-2-2000000002-212i−2i-112i−2i2111-12i2i−2i−2i−2i2i000−2i2i0002-2-11−ii2i−2i-1−i−i−iiii-2002−2i2i00i−i00-220i−i0000-11−ii00001-100i−i001-1000000
χ5922-22-12-2-12-1-2-11-22-121-2-2-2000000002-21−2i2i-11−2i2i2111-1−2i−2i2i2i2i−2i0002i−2i0002-2-11i−i−2i2i-1iii−i−i−i-20022i−2i00−ii00-220−ii0000-11i−i00001-100−ii001-1000000
χ6022-22-12-2-12-1-2-11-22-121-2-2-2000000002-21−2i2i-11−2i2i2111-1−2i−2i2i2i−2i2i000−2i2i0002-2-11i−i−2i2i-1iii−i−i−i200-2−2i2i00i−i002-20i−i0000-11i−i0000-1100i−i00-11000000
χ6122-22-12-2-12-1-2-11-22-121-2-2-200000000-2212i−2i-11−2i2i2111-1−2i−2i2i2i2i−2i0002i−2i000-221-1−ii2i−2i-1iii−i−i−i200-2−2i2i00−ii00-220−ii00001-1−ii0000-1100i−i001-1000000
χ6222-22-12-2-12-1-2-11-22-121-2-2-200000000-2212i−2i-11−2i2i2111-1−2i−2i2i2i−2i2i000−2i2i000-221-1−ii2i−2i-1iii−i−i−i-20022i−2i00i−i002-20i−i00001-1−ii00001-100−ii00-11000000
χ6322-22-12-2-12-1-2-11-22-121-2-2-200000000-221−2i2i-112i−2i2111-12i2i−2i−2i2i−2i0002i−2i000-221-1i−i−2i2i-1−i−i−iiii-2002−2i2i00−ii002-20−ii00001-1i−i00001-100i−i00-11000000
χ6422-22-12-2-12-1-2-11-22-121-2-2-200000000-221−2i2i-112i−2i2111-12i2i−2i−2i−2i2i000−2i2i000-221-1i−i−2i2i-1−i−i−iiii200-22i−2i00i−i00-220i−i00001-1i−i0000-1100−ii001-1000000
χ6522-2-122-22-1-11-1-2-222-1-21112-22-222112-212i−2i-112i−2i-1-2112−i−iii00-11-200-1-1-1-112-22i−2i−ii-12i−i−i−2iii02-20002i−2i002i−2i00100−i−iii-11−ii000000-1100−ii00000000
χ6622-2-122-22-1-11-1-2-222-1-21112-22-222112-21−2i2i-11−2i2i-1-2112ii−i−i00-11-200-1-1-1-112-2−2i2ii−i-1−2iii2i−i−i02-2000−2i2i00−2i2i00100ii−i−i-11i−i000000-1100i−i00000000
χ6722-2-122-22-1-11-1-2-222-1-21112-22-22211-2212i−2i-11−2i2i-1-2112ii−i−i00-11-200-1-1-11-1-222i−2i−ii-1−2iii2i−i−i0-220002i−2i00−2i2i00100ii−i−i1-1−ii0000001-100−ii00000000
χ6822-2-122-22-1-11-1-2-222-1-21112-22-22211-221−2i2i-112i−2i-1-2112−i−iii00-11-200-1-1-11-1-22−2i2ii−i-12i−i−i−2iii0-22000−2i2i002i−2i00100−i−iii1-1i−i0000001-100i−i00000000
χ6922-2-122-22-1-11-1-2-222-1-2111-22-22-2-2-1-12-212i−2i-112i−2i-1-2112−i−iii001-1200111-112-22i−2i−ii-12i−i−i−2iii0-22000−2i2i00−2i2i00-100ii−i−i-11−ii0000001-100i−i00000000
χ7022-2-122-22-1-11-1-2-222-1-2111-22-22-2-2-1-12-21−2i2i-11−2i2i-1-2112ii−i−i001-1200111-112-2−2i2ii−i-1−2iii2i−i−i0-220002i−2i002i−2i00-100−i−iii-11i−i0000001-100−ii00000000
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Here i is the imaginary unit (i² = −1).