Finite Group Databasebeta

← Group #72323225

Character table — Group #72323225

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1122222224444444444444444444444888888888888888888888881616161616161616161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232326464646464646464
order12222222222222222222222444444442222222224444444444444422222444444444444444444444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111-1-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111-1-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111-1-1-1-1-1-1-1-1111111-1-11-1-11111-1-1-1-11111-111-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111-1-1-1-1-1-1-1-1111111-1-11-1-11111-1-1-1-11111-111-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ711111111111111111111111-1-1-1-1-1-1-1-1111111-1-11-1-11111-1-1-1-11111-1-1-111-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111111-1-1-1-1-1-1-1-1111111-1-11-1-11111-1-1-1-11111-1-1-111-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ911111111111111111-1-111-1-1111111111-1-1-1-1-111-11111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i
χ1011111111111111111-1-111-1-1111111111-1-1-1-1-111-11111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii
χ1111111111111111111-1-111-1-1111111111-1-1-1-1-111-11111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii
χ1211111111111111111-1-111-1-1111111111-1-1-1-1-111-11111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i
χ1311111111111111111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii
χ1411111111111111111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i
χ1511111111111111111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-11111111111-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i
χ1611111111111111111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-11111111111-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii
χ1711111111111-1-1-1-1-1-11111-1-111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111-1-11111-1-11111-1-1-1-1-1-1111111-1-111-1-1ii−i−iii−i−iii−i−iii−i−ii−ii−ii−ii−i
χ1811111111111-1-1-1-1-1-11111-1-111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111-1-11111-1-11111-1-1-1-1-1-1111111-1-111-1-1−i−iii−i−iii−i−iii−i−iii−ii−ii−ii−ii
χ1911111111111-1-1-1-1-1-11111-1-111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1111111-1-11111-1-11111-1-1-1-1-1-111-1-111ii−i−iii−i−iii−i−iii−i−i−ii−ii−ii−ii
χ2011111111111-1-1-1-1-1-11111-1-111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1111111-1-11111-1-11111-1-1-1-1-1-111-1-111−i−iii−i−iii−i−iii−i−iiii−ii−ii−ii−i
χ2111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-111-111-1-1-1-11111-1-1-1-1-11111-1111111-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-111ii−i−iii−i−i−i−iii−i−iiii−ii−i−ii−ii
χ2211111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-111-111-1-1-1-11111-1-1-1-1-11111-1111111-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-111−i−iii−i−iiiii−i−iii−i−i−ii−iii−ii−i
χ2311111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-111-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111111111-1-11111-1-1ii−i−iii−i−i−i−iii−i−iii−ii−iii−ii−i
χ2411111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-111-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111111111-1-11111-1-1−i−iii−i−iiiii−i−iii−i−ii−ii−i−ii−ii
χ2511111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-11-1-1-1-1-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1111-1-111-1-11
χ2611111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-11-1-1-1-1-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-111-1-111-1-11111-1-1-1-11111-1-1-111-1-111-1
χ2711111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-11-1-1-1-1-1-1-1-1-1-111111-1-1111-1-111-1-1-1-11111-1-1111111-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-111-111-1-111-1
χ2811111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-11-1-1-1-1-1-1-1-1-1-111111-1-1111-1-111-1-1-1-11111-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-11-1-111-1-11
χ2911111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111111111-11111-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-11111-1-11-1-11-111-1
χ3011111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111111111-11111-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-111-11-1-11
χ3111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-111-11-1-11
χ3211111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111111111-1-1-1-111-1-11111-1-111-1-1-1-1111-1-11-111-1
χ332222222222222222222222222222222222222-2-22-2-2-2-2-2-22222-2-2-2-2-20000-20000-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000
χ3422222222222222222222222-2-2-2-2-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-22000020000-2-22222-2-2-2-2-2-20000000000000000000000000000000000000000
χ3522222222222222222-2-222-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-20000-20000222222-2-2-2-2-2-20000000000000000000000000000000000000000
χ3622222222222222222-2-222-2-2-2-2-2-2-2-2-2-22-2-2-2-2-222-222-2-2-2-2-2-2-2-22222200002000022-2-2-2-2-2-222220000000000000000000000000000000000000000
χ3722222222222-2-2-2-2-2-22222-2-222222222-2222-2-222-2222222-2-2-2-22222-20000-20000-2-2-2-222-2-222-2-20000000000000000000000000000000000000000
χ3822222222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-22222222222222000020000-2-222-2-2-2-2-2-2220000000000000000000000000000000000000000
χ3922222222222-2-2-2-2-2-2-2-2222222222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-20000-200002222-2-2-2-2-2-2220000000000000000000000000000000000000000
χ4022222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-222-2-22-2-222222222-2-2-2-2200002000022-2-222-2-222-2-20000000000000000000000000000000000000000
χ412222-2-22-2-22-2000000222-2002i2i2i2i−2i−2i−2i−2i02-2-2002-202-22i2i−2i−2i00002i2i−2i−2i000000000000002-2002i−2i0000000000000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1−i−1+i1+i−1−i00000000
χ422222-2-22-2-22-2000000222-2002i2i2i2i−2i−2i−2i−2i02-2-2002-202-22i2i−2i−2i00002i2i−2i−2i000000000000002-2002i−2i000000000000000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1+i1−i−1−i1+i00000000
χ432222-2-22-2-22-2000000222-2002i2i2i2i−2i−2i−2i−2i02-2-200-220-22−2i−2i2i2i0000−2i−2i2i2i00000000000000-22002i−2i0000000000000000001−i−1+i1+i−1−i1−i−1+i1+i−1−i−1−i1+i−1+i1−i−1−i1+i−1+i1−i00000000
χ442222-2-22-2-22-2000000222-2002i2i2i2i−2i−2i−2i−2i02-2-200-220-22−2i−2i2i2i0000−2i−2i2i2i00000000000000-22002i−2i000000000000000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i1+i−1−i1−i−1+i1+i−1−i1−i−1+i00000000
χ452222-2-22-2-22-2000000222-200−2i−2i−2i−2i2i2i2i2i02-2-2002-202-2−2i−2i2i2i0000−2i−2i2i2i000000000000002-200−2i2i0000000000000000001−i−1+i1+i−1−i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1+i−1−i1−i−1+i00000000
χ462222-2-22-2-22-2000000222-200−2i−2i−2i−2i2i2i2i2i02-2-2002-202-2−2i−2i2i2i0000−2i−2i2i2i000000000000002-200−2i2i000000000000000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1−i1+i−1+i1−i00000000
χ472222-2-22-2-22-2000000222-200−2i−2i−2i−2i2i2i2i2i02-2-200-220-222i2i−2i−2i00002i2i−2i−2i00000000000000-2200−2i2i0000000000000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i−1+i1−i−1−i1+i−1+i1−i−1−i1+i00000000
χ482222-2-22-2-22-2000000222-200−2i−2i−2i−2i2i2i2i2i02-2-200-220-222i2i−2i−2i00002i2i−2i−2i00000000000000-2200−2i2i000000000000000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i1−i−1+i1+i−1−i1−i−1+i1+i−1−i00000000
χ492222-2-22-2-22-2000000-2-22-2002i2i2i2i−2i−2i−2i−2i0-222002-202-22i2i−2i−2i0000−2i−2i2i2i00000000000000-2200−2i2i0000000000000000001−i−1+i−1−i1+i−1+i1−i1+i−1−i−1−i1+i1−i−1+i1+i−1−i−1+i1−i00000000
χ502222-2-22-2-22-2000000-2-22-2002i2i2i2i−2i−2i−2i−2i0-222002-202-22i2i−2i−2i0000−2i−2i2i2i00000000000000-2200−2i2i000000000000000000−1+i1−i1+i−1−i1−i−1+i−1−i1+i1+i−1−i−1+i1−i−1−i1+i1−i−1+i00000000
χ512222-2-22-2-22-2000000-2-22-2002i2i2i2i−2i−2i−2i−2i0-22200-220-22−2i−2i2i2i00002i2i−2i−2i000000000000002-200−2i2i0000000000000000001+i−1−i−1+i1−i−1−i1+i1−i−1+i1−i−1+i−1−i1+i−1+i1−i1+i−1−i00000000
χ522222-2-22-2-22-2000000-2-22-2002i2i2i2i−2i−2i−2i−2i0-22200-220-22−2i−2i2i2i00002i2i−2i−2i000000000000002-200−2i2i000000000000000000−1−i1+i1−i−1+i1+i−1−i−1+i1−i−1+i1−i1+i−1−i1−i−1+i−1−i1+i00000000
χ532222-2-22-2-22-2000000-2-22-200−2i−2i−2i−2i2i2i2i2i0-222002-202-2−2i−2i2i2i00002i2i−2i−2i00000000000000-22002i−2i0000000000000000001+i−1−i−1+i1−i−1−i1+i1−i−1+i−1+i1−i1+i−1−i1−i−1+i−1−i1+i00000000
χ542222-2-22-2-22-2000000-2-22-200−2i−2i−2i−2i2i2i2i2i0-222002-202-2−2i−2i2i2i00002i2i−2i−2i00000000000000-22002i−2i000000000000000000−1−i1+i1−i−1+i1+i−1−i−1+i1−i1−i−1+i−1−i1+i−1+i1−i1+i−1−i00000000
χ552222-2-22-2-22-2000000-2-22-200−2i−2i−2i−2i2i2i2i2i0-22200-220-222i2i−2i−2i0000−2i−2i2i2i000000000000002-2002i−2i0000000000000000001−i−1+i−1−i1+i−1+i1−i1+i−1−i1+i−1−i−1+i1−i−1−i1+i1−i−1+i00000000
χ562222-2-22-2-22-2000000-2-22-200−2i−2i−2i−2i2i2i2i2i0-22200-220-222i2i−2i−2i0000−2i−2i2i2i000000000000002-2002i−2i000000000000000000−1+i1−i1+i−1−i1−i−1+i−1−i1+i−1−i1+i1−i−1+i1+i−1−i−1+i1−i00000000
χ5722-2-2-2-2222-2-22222-2-222222200000000-2-22-22-200-2002-22-200002-22-20002-20002-22-200002-20000000022-2-200002-22-2000000000000000000000000
χ5822-2-2-2-2222-2-22222-2-222222200000000-2-22-22-200-2002-22-200002-22-2000-22000-222-200002-200000000-2-2220000-22-22000000000000000000000000
χ5922-2-2-2-2222-2-22222-2-222222200000000-2-22-22-200-200-22-220000-22-2202-20002-200-220000-22000022-2-200002-22-20000000000000000000000000000
χ6022-2-2-2-2222-2-22222-2-222222200000000-2-22-22-200-200-22-220000-22-220-22000-2200-220000-220000-2-2220000-22-220000000000000000000000000000
χ6122-2-2-2-2222-2-22222-2-2-2-222-2-200000000-22-22-22002002-22-20000-22-220002-20002-2-2200002-20000000022-2-20000-22-22000000000000000000000000
χ6222-2-2-2-2222-2-22222-2-2-2-222-2-200000000-22-22-22002002-22-20000-22-22000-22000-22-2200002-200000000-2-22200002-22-2000000000000000000000000
χ6322-2-2-2-2222-2-22222-2-2-2-222-2-200000000-22-22-2200200-22-2200002-22-202-20002-2002-20000-22000022-2-20000-22-220000000000000000000000000000
χ6422-2-2-2-2222-2-22222-2-2-2-222-2-200000000-22-22-2200200-22-2200002-22-20-22000-22002-20000-220000-2-22200002-22-20000000000000000000000000000
χ6522-2-2-2-2222-2-2-2-2-2-2222222-2-2000000002-22-2-22002002-22-200002-22-202-20002-200-220000-220000-2-22200002-2-220000000000000000000000000000
χ6622-2-2-2-2222-2-2-2-2-2-2222222-2-2000000002-22-2-22002002-22-200002-22-20-22000-2200-220000-22000022-2-20000-222-20000000000000000000000000000
χ6722-2-2-2-2222-2-2-2-2-2-2222222-2-2000000002-22-2-2200200-22-220000-22-220002-20002-22-200002-200000000-2-2220000-222-2000000000000000000000000
χ6822-2-2-2-2222-2-2-2-2-2-2222222-2-2000000002-22-2-2200200-22-220000-22-22000-22000-222-200002-20000000022-2-200002-2-22000000000000000000000000
χ6922-2-2-2-2222-2-2-2-2-2-222-2-222220000000022-222-200-2002-22-20000-22-2202-20002-2002-20000-220000-2-2220000-222-20000000000000000000000000000
χ7022-2-2-2-2222-2-2-2-2-2-222-2-222220000000022-222-200-2002-22-20000-22-220-22000-22002-20000-22000022-2-200002-2-220000000000000000000000000000
χ7122-2-2-2-2222-2-2-2-2-2-222-2-222220000000022-222-200-200-22-2200002-22-20002-20002-2-2200002-200000000-2-22200002-2-22000000000000000000000000
χ7222-2-2-2-2222-2-2-2-2-2-222-2-222220000000022-222-200-200-22-2200002-22-2000-22000-22-2200002-20000000022-2-20000-222-2000000000000000000000000
χ73444444444-4-444-4-44400-4-40044-4-444-4-4-40000000000000044-4-4000000000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).