Finite Group Databasebeta

← Group #72260726

Character table — Group #72260726

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124
size11112222222222222244444444888888888888888816161616161616161616161616161616161616161111222222222222224444444488888888888888881616161616161616161616161616161616161616
order1222222222222244442244444422222222444444442444444444448888888822222222222222444422444444222222224444444424444444444488888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ511111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ911111111-1-1-1-1-1-111-1-11-111-1-1-111111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−iii−i−iii−i−i11-1-111111111-1-1-1-1-1-111-1-11-111-1-1-111111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−iii−i−iii−i−i11-1-1
χ1011111111-1-1-1-1-1-111-1-11-111-1-1-111111-1-1-1-1iiii−i−i−i−i-1-111−i−iiiii−i−i−i−iii-1-11111111111-1-1-1-1-1-111-1-11-111-1-1-111111-1-1-1-1iiii−i−i−i−i-1-111−i−iiiii−i−i−i−iii-1-111
χ1111111111-1-1-1-1-1-111-1-11-111-1-1-111111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii−i−iii−i−iii11-1-111111111-1-1-1-1-1-111-1-11-111-1-1-111111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii−i−iii−i−iii11-1-1
χ1211111111-1-1-1-1-1-111-1-11-111-1-1-111111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i−i−iiiii−i−i-1-11111111111-1-1-1-1-1-111-1-11-111-1-1-111111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i−i−iiiii−i−i-1-111
χ1311111111-1-1-1-1-1-111-1-11-111-1-1-11-1-1-1-11111iiii−i−i−i−i11-1-1−i−iii−i−iiiii−i−i-1-11111111111-1-1-1-1-1-111-1-11-111-1-1-11-1-1-1-11111iiii−i−i−i−i11-1-1−i−iii−i−iiiii−i−i-1-111
χ1411111111-1-1-1-1-1-111-1-11-111-1-1-11-1-1-1-11111iiii−i−i−i−i-1-111ii−i−i−i−iii−i−iii11-1-111111111-1-1-1-1-1-111-1-11-111-1-1-11-1-1-1-11111iiii−i−i−i−i-1-111ii−i−i−i−iii−i−iii11-1-1
χ1511111111-1-1-1-1-1-111-1-11-111-1-1-11-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−iii−i−i−i−iii-1-11111111111-1-1-1-1-1-111-1-11-111-1-1-11-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−iii−i−i−i−iii-1-111
χ1611111111-1-1-1-1-1-111-1-11-111-1-1-11-1-1-1-11111−i−i−i−iiiii-1-111−i−iiiii−i−iii−i−i11-1-111111111-1-1-1-1-1-111-1-11-111-1-1-11-1-1-1-11111−i−i−i−iiiii-1-111−i−iiiii−i−iii−i−i11-1-1
χ1722222222222222-2-2-2-222-2-2-2-2-2-20000000000000000000000002-22-20000000022222222222222-2-2-2-222-2-2-2-2-2-20000000000000000000000002-22-200000000
χ1822222222222222-2-2-2-222-2-2-2-2-2-2000000000000000000000000-22-220000000022222222222222-2-2-2-222-2-2-2-2-2-2000000000000000000000000-22-2200000000
χ1922222222-2-2-2-2-2-2-2-2222-2-2-2222-20000000000000000000000002i−2i−2i2i0000000022222222-2-2-2-2-2-2-2-2222-2-2-2222-20000000000000000000000002i−2i−2i2i00000000
χ2022222222-2-2-2-2-2-2-2-2222-2-2-2222-2000000000000000000000000−2i2i2i−2i0000000022222222-2-2-2-2-2-2-2-2222-2-2-2222-2000000000000000000000000−2i2i2i−2i00000000
χ21222222-2-2222-2-222222-2-22-22-2-2-20000000022-2-222-2-200000000000000000000222222-2-2222-2-222222-2-22-22-2-2-20000000022-2-222-2-200000000000000000000
χ22222222-2-2222-2-222222-2-22-22-2-2-200000000-2-222-2-22200000000000000000000222222-2-2222-2-222222-2-22-22-2-2-200000000-2-222-2-22200000000000000000000
χ23222222-2-2222-2-22-2-2-2-2-2-2-22-222222-2-222-2-20000000000000000000000000000222222-2-2222-2-22-2-2-2-2-2-2-22-222222-2-222-2-20000000000000000000000000000
χ24222222-2-2222-2-22-2-2-2-2-2-2-22-2222-2-222-2-2220000000000000000000000000000222222-2-2222-2-22-2-2-2-2-2-2-22-2222-2-222-2-2220000000000000000000000000000
χ25222222-2-2-2-2-222-222-2-2-222-2-222-2000000002i2i−2i−2i−2i−2i2i2i00000000000000000000222222-2-2-2-2-222-222-2-2-222-2-222-2000000002i2i−2i−2i−2i−2i2i2i00000000000000000000
χ26222222-2-2-2-2-222-222-2-2-222-2-222-200000000−2i−2i2i2i2i2i−2i−2i00000000000000000000222222-2-2-2-2-222-222-2-2-222-2-222-200000000−2i−2i2i2i2i2i−2i−2i00000000000000000000
χ27222222-2-2-2-2-222-2-2-222-22-222-2-2222-2-2-2-2220000000000000000000000000000222222-2-2-2-2-222-2-2-222-22-222-2-2222-2-2-2-2220000000000000000000000000000
χ28222222-2-2-2-2-222-2-2-222-22-222-2-22-2-22222-2-20000000000000000000000000000222222-2-2-2-2-222-2-2-222-22-222-2-22-2-22222-2-20000000000000000000000000000
χ292222-2-2222-2-222222-2-2-2-2-2-222-2200000000000000002-22-200000000000000002222-2-2222-2-222222-2-2-2-2-2-222-2200000000000000002-22-20000000000000000
χ302222-2-2222-2-222222-2-2-2-2-2-222-220000000000000000-22-2200000000000000002222-2-2222-2-222222-2-2-2-2-2-222-220000000000000000-22-220000000000000000
χ312222-2-2222-2-2222-2-222-2-222-2-22-2000000000000000000002-22-20000000000002222-2-2222-2-2222-2-222-2-222-2-22-2000000000000000000002-22-2000000000000
χ322222-2-2222-2-2222-2-222-2-222-2-22-200000000000000000000-22-220000000000002222-2-2222-2-2222-2-222-2-222-2-22-200000000000000000000-22-22000000000000
χ332222-2-222-222-2-2-22222-22-2-2-2-22200000000000000002-2-2200000000000000002222-2-222-222-2-2-22222-22-2-2-2-22200000000000000002-2-220000000000000000
χ342222-2-222-222-2-2-22222-22-2-2-2-2220000000000000000-222-200000000000000002222-2-222-222-2-2-22222-22-2-2-2-2220000000000000000-222-20000000000000000
χ352222-2-222-222-2-2-2-2-2-2-2-222222-2-2000000000000000000002i−2i−2i2i0000000000002222-2-222-222-2-2-2-2-2-2-2-222222-2-2000000000000000000002i−2i−2i2i000000000000
χ362222-2-222-222-2-2-2-2-2-2-2-222222-2-200000000000000000000−2i2i2i−2i0000000000002222-2-222-222-2-2-2-2-2-2-2-222222-2-200000000000000000000−2i2i2i−2i000000000000
χ372222-2-2-2-22-2-2-2-2222-2-222-222-22-200000000000000000000000000002i−2i2i−2i00002222-2-2-2-22-2-2-2-2222-2-222-222-22-200000000000000000000000000002i−2i2i−2i0000
χ382222-2-2-2-22-2-2-2-2222-2-222-222-22-20000000000000000000000000000−2i2i−2i2i00002222-2-2-2-22-2-2-2-2222-2-222-222-22-20000000000000000000000000000−2i2i−2i2i0000
χ392222-2-2-2-22-2-2-2-22-2-222222-2-22-22000000000000000000000000000000002-22-22222-2-2-2-22-2-2-2-22-2-222222-2-22-22000000000000000000000000000000002-22-2
χ402222-2-2-2-22-2-2-2-22-2-222222-2-22-2200000000000000000000000000000000-22-222222-2-2-2-22-2-2-2-22-2-222222-2-22-2200000000000000000000000000000000-22-22
χ412222-2-2-2-2-22222-222222-2-22-22-2-200000000000000000000000000002-2-2200002222-2-2-2-2-22222-222222-2-22-22-2-200000000000000000000000000002-2-220000
χ422222-2-2-2-2-22222-222222-2-22-22-2-20000000000000000000000000000-222-200002222-2-2-2-2-22222-222222-2-22-22-2-20000000000000000000000000000-222-20000
χ432222-2-2-2-2-22222-2-2-2-2-22-22-22-222000000000000000000000000000000002-2-222222-2-2-2-2-22222-2-2-2-2-22-22-22-222000000000000000000000000000000002-2-22
χ442222-2-2-2-2-22222-2-2-2-2-22-22-22-22200000000000000000000000000000000-222-22222-2-2-2-2-22222-2-2-2-2-22-22-22-22200000000000000000000000000000000-222-2
χ4544-4-4004-44004-4-4000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000044-4-4004-44004-4-4000000000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ4644-4-4004-44004-4-400000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000044-4-4004-44004-4-400000000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ4744-4-4004-4-400-444000000000000000000002-22-2-22-220000000000000000000044-4-4004-4-400-444000000000000000000002-22-2-22-2200000000000000000000
χ4844-4-4004-4-400-44400000000000000000000-22-222-22-20000000000000000000044-4-4004-4-400-44400000000000000000000-22-222-22-200000000000000000000
χ4944-4-400-44400-44-4000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000000044-4-400-44400-44-4000000000000000000002i−2i−2i2i2i−2i−2i2i00000000000000000000
χ5044-4-400-44400-44-400000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000000044-4-400-44400-44-400000000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000000000
χ5144-4-400-44-4004-44000000000000000000002-2-22-222-20000000000000000000044-4-400-44-4004-44000000000000000000002-2-22-222-200000000000000000000
χ5244-4-400-44-4004-4400000000000000000000-222-22-2-220000000000000000000044-4-400-44-4004-4400000000000000000000-222-22-2-2200000000000000000000
χ534-4-44000004-40004-44-4000000002-22-22-22-200000000000000000000000000004-4-44000004-40004-44-4000000002-22-22-22-20000000000000000000000000000
χ544-4-44000004-40004-44-400000000-22-22-22-2200000000000000000000000000004-4-44000004-40004-44-400000000-22-22-22-220000000000000000000000000000
χ554-4-44000004-4000-44-44000000002-2-222-2-2200000000000000000000000000004-4-44000004-4000-44-44000000002-2-222-2-220000000000000000000000000000
χ564-4-44000004-4000-44-4400000000-222-2-222-200000000000000000000000000004-4-44000004-4000-44-4400000000-222-2-222-20000000000000000000000000000
χ574-4-4400000-440004-4-44000000002-22-2-22-2200000000000000000000000000004-4-4400000-440004-4-44000000002-22-2-22-220000000000000000000000000000
χ584-4-4400000-440004-4-4400000000-22-222-22-200000000000000000000000000004-4-4400000-440004-4-4400000000-22-222-22-20000000000000000000000000000
χ594-4-4400000-44000-444-4000000002-2-22-222-200000000000000000000000000004-4-4400000-44000-444-4000000002-2-22-222-20000000000000000000000000000
χ604-4-4400000-44000-444-400000000-222-22-2-2200000000000000000000000000004-4-4400000-44000-444-400000000-222-22-2-220000000000000000000000000000
χ618-88-88-8000000000000000000000000000000000000000000000000000000008-88-88-800000000000000000000000000000000000000000000000000000000
χ628-88-8-88000000000000000000000000000000000000000000000000000000008-88-8-8800000000000000000000000000000000000000000000000000000000
χ6311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ64111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111
χ651111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1
χ661111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111
χ6711111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ6811111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ6911111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7011111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ7111111111-1-1-1-1-1-111-1-11-111-1-1-111111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−iii−i−iii−i−i11-1-1-1-1-1-1-1-1-1-1111111-1-111-11-1-1111-1-1-1-1-11111−i−i−i−iiiii-1-111−i−iii−i−iii−i−iii-1-111
χ7211111111-1-1-1-1-1-111-1-11-111-1-1-111111-1-1-1-1iiii−i−i−i−i-1-111−i−iiiii−i−i−i−iii-1-111-1-1-1-1-1-1-1-1111111-1-111-11-1-1111-1-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−i−i−iiiii−i−i11-1-1
χ7311111111-1-1-1-1-1-111-1-11-111-1-1-111111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii−i−iii−i−iii11-1-1-1-1-1-1-1-1-1-1111111-1-111-11-1-1111-1-1-1-1-11111iiii−i−i−i−i-1-111ii−i−iii−i−iii−i−i-1-111
χ7411111111-1-1-1-1-1-111-1-11-111-1-1-111111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i−i−iiiii−i−i-1-111-1-1-1-1-1-1-1-1111111-1-111-11-1-1111-1-1-1-1-11111iiii−i−i−i−i11-1-1−i−iiiii−i−i−i−iii11-1-1
χ7511111111-1-1-1-1-1-111-1-11-111-1-1-11-1-1-1-11111iiii−i−i−i−i11-1-1−i−iii−i−iiiii−i−i-1-111-1-1-1-1-1-1-1-1111111-1-111-11-1-1111-11111-1-1-1-1−i−i−i−iiiii-1-111ii−i−iii−i−i−i−iii11-1-1
χ7611111111-1-1-1-1-1-111-1-11-111-1-1-11-1-1-1-11111iiii−i−i−i−i-1-111ii−i−i−i−iii−i−iii11-1-1-1-1-1-1-1-1-1-1111111-1-111-11-1-1111-11111-1-1-1-1−i−i−i−iiiii11-1-1−i−iiiii−i−iii−i−i-1-111
χ7711111111-1-1-1-1-1-111-1-11-111-1-1-11-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−iii−i−i−i−iii-1-111-1-1-1-1-1-1-1-1111111-1-111-11-1-1111-11111-1-1-1-1iiii−i−i−i−i-1-111−i−iii−i−iiiii−i−i11-1-1
χ7811111111-1-1-1-1-1-111-1-11-111-1-1-11-1-1-1-11111−i−i−i−iiiii-1-111−i−iiiii−i−iii−i−i11-1-1-1-1-1-1-1-1-1-1111111-1-111-11-1-1111-11111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i−i−iii−i−iii-1-111
χ7922222222222222-2-2-2-222-2-2-2-2-2-20000000000000000000000002-22-200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2222222000000000000000000000000-22-2200000000
χ8022222222222222-2-2-2-222-2-2-2-2-2-2000000000000000000000000-22-2200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-22222220000000000000000000000002-22-200000000
χ8122222222-2-2-2-2-2-2-2-2222-2-2-2222-20000000000000000000000002i−2i−2i2i00000000-2-2-2-2-2-2-2-222222222-2-2-2222-2-2-22000000000000000000000000−2i2i2i−2i00000000
χ8222222222-2-2-2-2-2-2-2-2222-2-2-2222-2000000000000000000000000−2i2i2i−2i00000000-2-2-2-2-2-2-2-222222222-2-2-2222-2-2-220000000000000000000000002i−2i−2i2i00000000
χ83222222-2-2222-2-222222-2-22-22-2-2-20000000022-2-222-2-200000000000000000000-2-2-2-2-2-222-2-2-222-2-2-2-2-222-22-222200000000-2-222-2-22200000000000000000000
χ84222222-2-2222-2-222222-2-22-22-2-2-200000000-2-222-2-22200000000000000000000-2-2-2-2-2-222-2-2-222-2-2-2-2-222-22-22220000000022-2-222-2-200000000000000000000
χ85222222-2-2222-2-22-2-2-2-2-2-2-22-222222-2-222-2-20000000000000000000000000000-2-2-2-2-2-222-2-2-222-22222222-22-2-2-2-2-222-2-2220000000000000000000000000000
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χ1164-4-44000004-40004-44-400000000-22-22-22-220000000000000000000000000000-444-400000-44000-44-44000000002-22-22-22-20000000000000000000000000000
χ1174-4-44000004-4000-44-44000000002-2-222-2-220000000000000000000000000000-444-400000-440004-44-400000000-222-2-222-20000000000000000000000000000
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Here i is the imaginary unit (i² = −1).