Finite Group Databasebeta

← Group #13015508

Character table — Group #13015508

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size11111111222222224444444444444444444444444455555555888888888888888888888888101010101010101020202020202020202020202020202020202020202020202020204040404040404040
order12222222444444444444444444510101010101010202020202020202044444444202020202020202020202020202020202020202020202020222244444444444444888888888888888888888888
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
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii
χ5111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii
χ8111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i
χ9111111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ10111111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ11111111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii
χ12111111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i
χ13111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ14111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ15111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i
χ16111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii
χ171-1-1111-1-111-1-111-1-11-1ii−i−iii−i−i1-1-1111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-1111-1ii−i−iii−i−i11-1-111-1-111-1-111-1-1i−ii−ii−ii−i
χ181-1-1111-1-111-1-111-1-11-1ii−i−iii−i−i1-1-1111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-1111-1ii−i−iii−i−i-1-111-1-111-1-111-1-111−ii−ii−ii−ii
χ191-1-1111-1-111-1-111-1-11-1ii−i−iii−i−i1-1-1111-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-11111-1-1-11−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii-11-111-11-1
χ201-1-1111-1-111-1-111-1-11-1ii−i−iii−i−i1-1-1111-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-11111-1-1-11−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i1-11-1-11-11
χ211-1-1111-1-111-1-111-1-11-1−i−iii−i−iii1-1-1111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-1111-1−i−iii−i−iii11-1-111-1-111-1-111-1-1−ii−ii−ii−ii
χ221-1-1111-1-111-1-111-1-11-1−i−iii−i−iii1-1-1111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-1111-1−i−iii−i−iii-1-111-1-111-1-111-1-111i−ii−ii−ii−i
χ231-1-1111-1-111-1-111-1-11-1−i−iii−i−iii1-1-1111-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-1-11ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii1-11-1-11-11
χ241-1-1111-1-111-1-111-1-11-1−i−iii−i−iii1-1-1111-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-1-11ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i-11-111-11-1
χ251-1-1111-1-111-1-1-1-111-11ii−i−i−i−iii1-1-1111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1-111-1-111-11ii−i−i−i−iii11-1-1-1-11111-1-1-1-111i−i−iii−i−ii
χ261-1-1111-1-111-1-1-1-111-11ii−i−i−i−iii1-1-1111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1-111-1-111-11ii−i−i−i−iii-1-11111-1-1-1-11111-1-1−iii−i−iii−i
χ271-1-1111-1-111-1-1-1-111-11ii−i−i−i−iii1-1-1111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-111-1-11-1−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i-111-11-1-11
χ281-1-1111-1-111-1-1-1-111-11ii−i−i−i−iii1-1-1111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-111-1-11-1−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii1-1-11-111-1
χ291-1-1111-1-111-1-1-1-111-11−i−iiiii−i−i1-1-1111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-111-11−i−iiiii−i−i11-1-1-1-11111-1-1-1-111−iii−i−iii−i
χ301-1-1111-1-111-1-1-1-111-11−i−iiiii−i−i1-1-1111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-111-11−i−iiiii−i−i-1-11111-1-1-1-11111-1-1i−i−iii−i−ii
χ311-1-1111-1-111-1-1-1-111-11−i−iiiii−i−i1-1-1111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-111-1-11-1ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i1-1-11-111-1
χ321-1-1111-1-111-1-1-1-111-11−i−iiiii−i−i1-1-1111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-111-1-11-1ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii-111-11-1-11
χ3322222222-2-2-2-22222-2-200000000222222222222222222222222-2-2-2-2-2-2-2-200000000000000002222-2-2-2-2-2-200000000000000000000000000000000
χ3422222222-2-2-2-22222-2-2000000002222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000-2-2-2-222222200000000000000000000000000000000
χ3522222222-2-2-2-2-2-2-2-2220000000022222222-2-2-2-2-2-2-2-222222222-2-2-2-222220000000000000000-2-2-2-2-2-2-2-22200000000000000000000000000000000
χ3622222222-2-2-2-2-2-2-2-2220000000022222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000022222222-2-200000000000000000000000000000000
χ372222-2-2-2-200002-22-200000000002222-2-2-2-222-2-222-2-222-2-222-2-20000000000000000000000002-22-2000000000000002−22−22−22−22−22−22−22−200000000
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χ722-2-22-2-2220000-222-200000000002-2-22-2-222-2-22222-2-2-2-22222-2-20000000000000000000000002-2-2200000000000000−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i200000000
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χ74444444444444444444-4-4-4-4-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-11111111111111111000000000000000000000000000000000000000000
χ75444444444444-4-4-4-4-4-44444-4-4-4-4-1-1-1-1-1-1-1-11111111100000000-1-1-1-11111-1-1-1-1-1-1-1-111111111000000000000000000000000000000000000000000
χ76444444444444-4-4-4-4-4-4-4-4-4-44444-1-1-1-1-1-1-1-11111111100000000-1-1-1-1111111111111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ7744444444-4-4-4-44444-4-400000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000111111115−55−55−55−55−55−55−55−5000000000000000000000000000000000000000000
χ7844444444-4-4-4-44444-4-400000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000011111111−55−55−55−55−55−55−55−55000000000000000000000000000000000000000000
χ7944444444-4-4-4-4-4-4-4-44400000000-1-1-1-1-1-1-1-111111111000000001111-1-1-1-15−55−55−55−5−55−55−55−55000000000000000000000000000000000000000000
χ8044444444-4-4-4-4-4-4-4-44400000000-1-1-1-1-1-1-1-111111111000000001111-1-1-1-1−55−55−55−555−55−55−55−5000000000000000000000000000000000000000000
χ8144-4-44-44-44-44-400000000004i−4i4i−4i-1-111-11-11i5−i5i5−i5i5−i5i5−i500000000-11-11i5−i5i5−i55−5−555−5−55−i−iii−i−iii000000000000000000000000000000000000000000
χ8244-4-44-44-44-44-400000000004i−4i4i−4i-1-111-11-11−i5i5−i5i5−i5i5−i5i500000000-11-11−i5i5−i5i5−555−5−555−5−i−iii−i−iii000000000000000000000000000000000000000000
χ8344-4-44-44-44-44-40000000000−4i4i−4i4i-1-111-11-11i5−i5i5−i5i5−i5i5−i500000000-11-11i5−i5i5−i5−555−5−555−5ii−i−iii−i−i000000000000000000000000000000000000000000
χ8444-4-44-44-44-44-40000000000−4i4i−4i4i-1-111-11-11−i5i5−i5i5−i5i5−i5i500000000-11-11−i5i5−i5i55−5−555−5−55ii−i−iii−i−i000000000000000000000000000000000000000000
χ8544-4-44-44-4-44-440000004-44-40000-1-111-11-11i5−i5i5−i5i5−i5i5−i5000000001-11-1−i5i5−i5i5-1-111-1-111i5−i5−i5i5i5−i5−i5i5000000000000000000000000000000000000000000
χ8644-4-44-44-4-44-440000004-44-40000-1-111-11-11−i5i5−i5i5−i5i5−i5i5000000001-11-1i5−i5i5−i5-1-111-1-111−i5i5i5−i5−i5i5i5−i5000000000000000000000000000000000000000000
χ8744-4-44-44-4-44-44000000-44-440000-1-111-11-11i5−i5i5−i5i5−i5i5−i5000000001-11-1−i5i5−i5i511-1-111-1-1−i5i5i5−i5−i5i5i5−i5000000000000000000000000000000000000000000
χ8844-4-44-44-4-44-44000000-44-440000-1-111-11-11−i5i5−i5i5−i5i5−i5i5000000001-11-1i5−i5i5−i511-1-111-1-1i5−i5−i5i5i5−i5−i5i5000000000000000000000000000000000000000000
χ8944-4-4-44-4400000000000000000044-4-4-44-44000000004i−4i−4i4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000
χ9044-4-4-44-4400000000000000000044-4-4-44-4400000000−4i4i4i−4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000
χ914-44-44-4-444-4-4400000000004-4-44-11-11-111-1i5−i5i5−i5−i5i5−i5i500000000-111-1i5−i5−i5i5−i5i5i5−i5i5−i5−i5i5-1-11111-1-1000000000000000000000000000000000000000000
χ924-44-44-4-444-4-4400000000004-4-44-11-11-111-1−i5i5−i5i5i5−i5i5−i500000000-111-1−i5i5i5−i5i5−i5−i5i5−i5i5i5−i5-1-11111-1-1000000000000000000000000000000000000000000
χ934-44-44-4-444-4-440000000000-444-4-11-11-111-1i5−i5i5−i5−i5i5−i5i500000000-111-1i5−i5−i5i5i5−i5−i5i5−i5i5i5−i511-1-1-1-111000000000000000000000000000000000000000000
χ944-44-44-4-444-4-440000000000-444-4-11-11-111-1−i5i5−i5i5i5−i5i5−i500000000-111-1−i5i5i5−i5−i5i5i5−i5i5−i5−i5i511-1-1-1-111000000000000000000000000000000000000000000
χ954-44-44-4-44-444-40000004i−4i−4i4i0000-11-11-111-1i5−i5i5−i5−i5i5−i5i5000000001-1-11−i5i5i5−i5−i−iiiii−i−i−555−55−5−55000000000000000000000000000000000000000000
χ964-44-44-4-44-444-40000004i−4i−4i4i0000-11-11-111-1−i5i5−i5i5i5−i5i5−i5000000001-1-11i5−i5−i5i5−i−iiiii−i−i5−5−55−555−5000000000000000000000000000000000000000000
χ974-44-44-4-44-444-4000000−4i4i4i−4i0000-11-11-111-1i5−i5i5−i5−i5i5−i5i5000000001-1-11−i5i5i5−i5ii−i−i−i−iii5−5−55−555−5000000000000000000000000000000000000000000
χ984-44-44-4-44-444-4000000−4i4i4i−4i0000-11-11-111-1−i5i5−i5i5i5−i5i5−i5000000001-1-11i5−i5−i5i5ii−i−i−i−iii−555−55−5−55000000000000000000000000000000000000000000
χ994-44-4-444-40000000000000000004-44-4-444-4000000004i−4i−4i4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000
χ1004-44-4-444-40000000000000000004-44-4-444-400000000−4i4i4i−4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-4444-4-444-4-444-4-44-44i4i−4i−4i4i4i−4i−4i-111-1-1-111-1-1-1-1111100000000-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii000000000000000000000000000000000000000000
χ1024-4-4444-4-444-4-444-4-44-4−4i−4i4i4i−4i−4i4i4i-111-1-1-111-1-1-1-1111100000000-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i000000000000000000000000000000000000000000
χ1034-4-4444-4-444-4-4-4-444-444i4i−4i−4i−4i−4i4i4i-111-1-1-1111111-1-1-1-100000000-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i000000000000000000000000000000000000000000
χ1044-4-4444-4-444-4-4-4-444-44−4i−4i4i4i4i4i−4i−4i-111-1-1-1111111-1-1-1-100000000-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii000000000000000000000000000000000000000000
χ1054-4-4444-4-4-4-44444-4-4-4400000000-111-1-1-111-1-1-1-111110000000011-1-111-1-1i5−i5i5−i5−i5i5−i5i5i5−i5i5−i5−i5i5−i5i5000000000000000000000000000000000000000000
χ1064-4-4444-4-4-4-44444-4-4-4400000000-111-1-1-111-1-1-1-111110000000011-1-111-1-1−i5i5−i5i5i5−i5i5−i5−i5i5−i5i5i5−i5i5−i5000000000000000000000000000000000000000000
χ1074-4-4444-4-4-4-444-4-4444-400000000-111-1-1-1111111-1-1-1-10000000011-1-1-1-111i5−i5i5−i5−i5i5−i5i5−i5i5−i5i5i5−i5i5−i5000000000000000000000000000000000000000000
χ1084-4-4444-4-4-4-444-4-4444-400000000-111-1-1-1111111-1-1-1-10000000011-1-1-1-111−i5i5−i5i5i5−i5i5−i5i5−i5i5−i5−i5i5−i5i5000000000000000000000000000000000000000000
χ1098888-8-8-8-800008-88-80000000000-2-2-2-22222-2-222-2-22200000000000000000000000000000000000000000000000000000000000000000000000000
χ1108888-8-8-8-80000-88-880000000000-2-2-2-2222222-2-222-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ11188-8-8-88-88000000000000000000-2-2222-22-22i5−2i5−2i52i52i5−2i5−2i52i500000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-88-88000000000000000000-2-2222-22-2−2i52i52i5−2i5−2i52i52i5−2i500000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-888-8000000000000000000-22-222-2-222i5−2i5−2i52i5−2i52i52i5−2i500000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-888-8000000000000000000-22-222-2-22−2i52i52i5−2i52i5−2i5−2i52i500000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-88-8-88800008-8-880000000000-222-222-2-2-2-22222-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-8-8880000-888-80000000000-222-222-2-222-2-2-2-22200000000000000000000000000000000000000000000000000000000000000000000000000

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