Finite Group Databasebeta

← Group #72291957

Character table — Group #72291957

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size11112222224444444444444444888888888888888888888888888888161616161616161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232326464646464646464
order12222222222222222222222222222222444444444444444444444444224444444444444444444444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1111111-1-1-1-1
χ911111111111111-1-1-1-1-1111-1-11-111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111111111111111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-111-1-111iiii−i−i−i−i11-1-1ii−i−iii−i−i
χ1011111111111111-1-1-1-1-1111-1-11-111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-1-1-1-1-1-1-111111111iiii−i−i−i−i1111-1-111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i−i−iii
χ1111111111111111-1-1-1-1-1111-1-11-111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−i-1-11111-1-111-1-1iiii−i−i−i−i1111−i−iii−i−iii
χ1211111111111111-1-1-1-1-1111-1-11-111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1111111111111iiii−i−i−i−i11-1-111-1-11111−i−i−i−iiiii-1-1-1-1−i−iiiii−i−i
χ1311111111111111-1-1-1-1-1111-1-11-111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111111111111111-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-111-1-111−i−i−i−iiiii11-1-1−i−iii−i−iii
χ1411111111111111-1-1-1-1-1111-1-11-111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1-1-1-1-1-1-1-111111111−i−i−i−iiiii1111-1-111-1-1-1-1iiii−i−i−i−i-1-111−i−iiiii−i−i
χ1511111111111111-1-1-1-1-1111-1-11-111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii-1-11111-1-111-1-1−i−i−i−iiiii1111ii−i−iii−i−i
χ1611111111111111-1-1-1-1-1111-1-11-111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-1-1-1-1-1111111111111−i−i−i−iiiii11-1-111-1-11111iiii−i−i−i−i-1-1-1-1ii−i−i−i−iii
χ1711-1-11-11-1-1111-1-1111-1-111-1-1-1-111-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1111-11-1ii−i−iii−i−i1-11-1ii−i−i11-1-111-1-1i−ii−i1-11-11-1i−iii−i−iii−i−ii−ii−i1-11-1i−ii−i
χ1811-1-11-11-1-1111-1-1111-1-111-1-1-1-111-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1111-11-1−i−iii−i−iii1-11-1−i−iii11-1-111-1-1−ii−ii1-11-11-1−ii−i−iii−i−iii−ii−ii1-11-1−ii−ii
χ1911-1-11-11-1-1111-1-1111-1-111-1-1-1-111-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-11-11ii−i−i−i−iii1-11-1ii−i−i11-1-111-1-1i−i−ii-11-11-11−iiii−i−iii−i−ii−i−ii-11-11−ii−ii
χ2011-1-11-11-1-1111-1-1111-1-111-1-1-1-111-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-11-11−i−iiiii−i−i1-11-1−i−iii11-1-111-1-1−iii−i-11-11-11i−i−i−iii−i−iii−iii−i-11-11i−ii−i
χ2111-1-11-11-1-1111-1-1111-1-111-1-1-1-111-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1111-11-1ii−i−iii−i−i1-11-1ii−i−i-1-111-1-111i−ii−i1-11-11-1i−i−i−iii−i−iiii−ii−i-11-11−ii−ii
χ2211-1-11-11-1-1111-1-1111-1-111-1-1-1-111-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1111-11-1−i−iii−i−iii1-11-1−i−iii-1-111-1-111−ii−ii1-11-11-1−iiii−i−iii−i−i−ii−ii-11-11i−ii−i
χ2311-1-11-11-1-1111-1-1111-1-111-1-1-1-111-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-11-11ii−i−i−i−iii1-11-1ii−i−i-1-111-1-111i−i−ii-11-11-11−ii−i−iii−i−iiii−i−ii1-11-1i−ii−i
χ2411-1-11-11-1-1111-1-1111-1-111-1-1-1-111-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-11-11−i−iiiii−i−i1-11-1−i−iii-1-111-1-111−iii−i-11-11-11i−iii−i−iii−i−i−iii−i1-11-1−ii−ii
χ2511-1-11-11-1-1111-1-1-1-1-11111-111-1-11-1-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-11-11-1ii−i−iii−i−i1-11-1−i−iiiii−i−i−i−iii−ii−ii-111-1-11i−i-1-11111-1-1i−i−iii−i−ii-111-1
χ2611-1-11-11-1-1111-1-1-1-1-11111-111-1-11-1-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-11-11-1−i−iii−i−iii1-11-1ii−i−iii−i−i−i−iiii−ii−i-111-1-11−ii11-1-1-1-111−iii−ii−i−ii1-1-11
χ2711-1-11-11-1-1111-1-1-1-1-11111-111-1-11-1-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-1-11-11ii−i−i−i−iii1-11-1−i−iiiii−i−i−i−iii−iii−i1-1-111-1−ii-1-11111-1-1i−ii−i−iii−i1-1-11
χ2811-1-11-11-1-1111-1-1-1-1-11111-111-1-11-1-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-1-11-11−i−iiiii−i−i1-11-1ii−i−iii−i−i−i−iiii−i−ii1-1-111-1i−i11-1-1-1-111−ii−ii−iii−i-111-1
χ2911-1-11-11-1-1111-1-1-1-1-11111-111-1-11-1-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-11-11-1ii−i−iii−i−i1-11-1−i−iii−i−iiiii−i−i−ii−ii-111-1-11i−i11-1-1-1-111i−i−ii−iii−i1-1-11
χ3011-1-11-11-1-1111-1-1-1-1-11111-111-1-11-1-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-11-11-1−i−iii−i−iii1-11-1ii−i−i−i−iiiii−i−ii−ii−i-111-1-11−ii-1-11111-1-1−iii−i−iii−i-111-1
χ3111-1-11-11-1-1111-1-1-1-1-11111-111-1-11-1-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-11-11ii−i−i−i−iii1-11-1−i−iii−i−iiiii−i−i−iii−i1-1-111-1−ii11-1-1-1-111i−ii−ii−i−ii-111-1
χ3211-1-11-11-1-1111-1-1-1-1-11111-111-1-11-1-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-11-11−i−iiiii−i−i1-11-1ii−i−i−i−iiiii−i−ii−i−ii1-1-111-1i−i-1-11111-1-1−ii−iii−i−ii1-1-11
χ3322222222222222222222222222222222-2-2-2-20000000000000000-2-2-2-2000022220000-2-2-2-2-2-2-2-20000000022000000000000000000-2-20000000000
χ3422222222222222222222222222222222-2-2-2-20000000000000000-2-2-2-20000-2-2-2-20000-2-2-2-2222200000000-2-2000000000000000000220000000000
χ3522222222222222-2-2-2-2-2222-2-22-222-2-2-2-2222200000000000000002222000022220000-2-2-2-2222200000000-2-2000000000000000000-2-20000000000
χ3622222222222222-2-2-2-2-2222-2-22-222-2-2-2-22222000000000000000022220000-2-2-2-20000-2-2-2-2-2-2-2-20000000022000000000000000000220000000000
χ372222222222-2-2-2-222-2-2-2222222-2-2-22-22-222-2-2000000000000000022-2-2222200000000-2-2220000000000000000-2-2-2-2220000000000000000000000
χ382222222222-2-2-2-222-2-2-2222222-2-2-22-22-222-2-2000000000000000022-2-2-2-2-2-200000000-2-22200000000000000002222-2-20000000000000000000000
χ392222222222-2-2-2-222-2-2-2222222-2-2-22-22-2-2-2220000000000000000-2-22200000000222222-2-200000000000000-2-2000000-2-200000000002200000000
χ402222222222-2-2-2-222-2-2-2222222-2-2-22-22-2-2-2220000000000000000-2-22200000000-2-2-2-222-2-20000000000000022000000220000000000-2-200000000
χ412222222222-2-2-2-2-2-2222222-2-222-2-2-22-2222-2-2000000000000000022-2-200000000222222-2-20000000000000022000000-2-20000000000-2-200000000
χ422222222222-2-2-2-2-2-2222222-2-222-2-2-22-2222-2-2000000000000000022-2-200000000-2-2-2-222-2-200000000000000-2-20000002200000000002200000000
χ432222222222-2-2-2-2-2-2222222-2-222-2-2-22-22-2-2220000000000000000-2-222222200000000-2-222000000000000000022-2-2-2-20000000000000000000000
χ442222222222-2-2-2-2-2-2222222-2-222-2-2-22-22-2-2220000000000000000-2-222-2-2-2-200000000-2-2220000000000000000-2-222220000000000000000000000
χ4522222-2-22-2-22222000002-2200-20-2-200002i−2i2i−2i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i2i−2i2i−2i00002-22-2000000002i−2i2i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000
χ4622222-2-22-2-22222000002-2200-20-2-200002i−2i2i−2i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i2i−2i2i−2i0000-22-2200000000−2i2i−2i2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000
χ4722222-2-22-2-22222000002-2200-20-2-200002i−2i2i−2i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i2i−2i2i−2i00002-22-2000000002i−2i2i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000
χ4822222-2-22-2-22222000002-2200-20-2-200002i−2i2i−2i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i2i−2i2i−2i0000-22-2200000000−2i2i−2i2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000
χ4922222-2-22-2-22222000002-2200-20-2-20000−2i2i−2i2i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i−2i2i−2i2i00002-22-200000000−2i2i−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000
χ5022222-2-22-2-22222000002-2200-20-2-20000−2i2i−2i2i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i−2i2i−2i2i0000-22-22000000002i−2i2i−2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000
χ5122222-2-22-2-22222000002-2200-20-2-20000−2i2i−2i2i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−2i2i−2i2i00002-22-200000000−2i2i−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000
χ5222222-2-22-2-22222000002-2200-20-2-20000−2i2i−2i2i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−2i2i−2i2i0000-22-22000000002i−2i2i−2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000
χ5322-2-222-2-22-222-2-2000002-2-20020-2200002i−2i−2i2i1+i1+i−1−i−1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i−1+i−1+i1−i1−i−2i2i2i−2i00002i−2i−2i2i00000000-222-21+i−1−i−1−i1+i1−i−1+i−1+i1−i000000000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i000000000000
χ5422-2-222-2-22-222-2-2000002-2-20020-2200002i−2i−2i2i1+i1+i−1−i−1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i−1+i−1+i1−i1−i−2i2i2i−2i0000−2i2i2i−2i000000002-2-221+i−1−i−1−i1+i1−i−1+i−1+i1−i0000000000001−i−1+i−1+i1−i−1−i1+i1+i−1−i000000000000
χ5522-2-222-2-22-222-2-2000002-2-20020-2200002i−2i−2i2i−1−i−1−i1+i1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i1−i1−i−1+i−1+i−2i2i2i−2i00002i−2i−2i2i00000000-222-2−1−i1+i1+i−1−i−1+i1−i1−i−1+i0000000000001−i−1+i−1+i1−i−1−i1+i1+i−1−i000000000000
χ5622-2-222-2-22-222-2-2000002-2-20020-2200002i−2i−2i2i−1−i−1−i1+i1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i1−i1−i−1+i−1+i−2i2i2i−2i0000−2i2i2i−2i000000002-2-22−1−i1+i1+i−1−i−1+i1−i1−i−1+i000000000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i000000000000
χ5722-2-222-2-22-222-2-2000002-2-20020-220000−2i2i2i−2i1−i1−i−1+i−1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i−1−i−1−i1+i1+i2i−2i−2i2i00002i−2i−2i2i000000002-2-221−i−1+i−1+i1−i1+i−1−i−1−i1+i0000000000001+i−1−i−1−i1+i−1+i1−i1−i−1+i000000000000
χ5822-2-222-2-22-222-2-2000002-2-20020-220000−2i2i2i−2i1−i1−i−1+i−1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i−1−i−1−i1+i1+i2i−2i−2i2i0000−2i2i2i−2i00000000-222-21−i−1+i−1+i1−i1+i−1−i−1−i1+i000000000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i000000000000
χ5922-2-222-2-22-222-2-2000002-2-20020-220000−2i2i2i−2i−1+i−1+i1−i1−i1−i1−i−1+i−1+i−1−i−1−i1+i1+i1+i1+i−1−i−1−i2i−2i−2i2i00002i−2i−2i2i000000002-2-22−1+i1−i1−i−1+i−1−i1+i1+i−1−i000000000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i000000000000
χ6022-2-222-2-22-222-2-2000002-2-20020-220000−2i2i2i−2i−1+i−1+i1−i1−i1−i1−i−1+i−1+i−1−i−1−i1+i1+i1+i1+i−1−i−1−i2i−2i−2i2i0000−2i2i2i−2i00000000-222-2−1+i1−i1−i−1+i−1−i1+i1+i−1−i0000000000001+i−1−i−1−i1+i−1+i1−i1−i−1+i000000000000
χ6122-2-22-22-2-2222-2-2222-2-222-2-2-2-222-222-2-2-2-222000000000000000022-2-200002i2i−2i−2i0000-22-22−2i−2i2i2i000000002i−2i000000000000000000−2i2i0000000000
χ6222-2-22-22-2-2222-2-2222-2-222-2-2-2-222-222-2-2-2-222000000000000000022-2-20000−2i−2i2i2i0000-22-222i2i−2i−2i00000000−2i2i0000000000000000002i−2i0000000000
χ6322-2-22-22-2-2222-2-2-2-2-22222-222-2-22-2-2-22222-2-20000000000000000-2-22200002i2i−2i−2i0000-22-222i2i−2i−2i00000000−2i2i000000000000000000−2i2i0000000000
χ6422-2-22-22-2-2222-2-2-2-2-22222-222-2-22-2-2-22222-2-20000000000000000-2-2220000−2i−2i2i2i0000-22-22−2i−2i2i2i000000002i−2i0000000000000000002i−2i0000000000
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χ1098-8-880000004-4-444-44-44000-440-40000000000004i−4i00−4i4i004i−4i00−4i4i0000000000000000000000000000000000000000000000000000000000000000
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χ1168-8-88000000-444-4-444-440004-40-40000000000−4i4i004i−4i004i−4i00−4i4i000000000000000000000000000000000000000000000000000000000000000000

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