Finite Group Databasebeta

← Group #72340603

Character table — Group #72340603

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100
size11112222222222444444444444444444444488888888888888888888888888888816161616161616161616161616161616161616161616161616163232323232323232
order1222222222444422224444444444444444442222444444444488888888888888882244444444444444444444444488888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111111111111-111-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111111111111111-11-1-111-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-11-111-1-111-1-111111111-1-1-1-11111
χ81111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-11-1-111-1-111111111111111-1-1-1-1
χ91111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1-1-111111-111-1-1-1-111iiii−i−i−i−iii−i−iii−i−i
χ101111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1111-1-111-11-1-11111-1-1iiii−i−i−i−i−i−iii−i−iii
χ111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1-1-111111-111-1-1-1-111−i−i−i−iiiii−i−iii−i−iii
χ121111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1111-1-111-11-1-11111-1-1−i−i−i−iiiiiii−i−iii−i−i
χ131111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-11111iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-1-1-1111111-1-1-1-1−i−i−i−iiiiiii−i−i−i−iii
χ141111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-11111iiiiiiii−i−i−i−i−i−i−i−i-1-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiii−i−iiiii−i−i
χ151111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-11111−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-1-1-1111111-1-1-1-1iiii−i−i−i−i−i−iiiii−i−i
χ161111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-11111−i−i−i−i−i−i−i−iiiiiiiii-1-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−iii−i−i−i−iii
χ171111-1-1-1-11111-1-111-1-1111111-1-11-11111-1-1-1-111-1-111-1-1-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-11-11-1-111-11-11-11-1ii−i−iii−i−ii−ii−ii−ii−i
χ181111-1-1-1-11111-1-111-1-1111111-1-11-11111-1-1-1-111-1-111-1-1-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11-111-11-1-11-11-11-11ii−i−iii−i−i−ii−ii−ii−ii
χ191111-1-1-1-11111-1-111-1-1111111-1-11-11111-1-1-1-111-1-111-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-11-11-1-111-11-11-11-1−i−iii−i−iii−ii−ii−ii−ii
χ201111-1-1-1-11111-1-111-1-1111111-1-11-11111-1-1-1-111-1-111-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11-111-11-1-11-11-11-11−i−iii−i−iiii−ii−ii−ii−i
χ211111-1-1-1-11111-1-111-1-1111111-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i111-1-11-11-1-11-1-111-1-11−i−iii−i−iiii−ii−i−ii−ii
χ221111-1-1-1-11111-1-111-1-1111111-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i-1-1-111-1-1111-111-1-111-1−i−iii−i−iii−ii−iii−ii−i
χ231111-1-1-1-11111-1-111-1-1111111-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii111-1-11-11-1-11-1-111-1-11ii−i−iii−i−i−ii−iii−ii−i
χ241111-1-1-1-11111-1-111-1-1111111-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii-1-1-111-1-1111-111-1-111-1ii−i−iii−i−ii−ii−i−ii−ii
χ251111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1111111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-111-11-1-1-11-1-11-111-111-1-1-1-1111-1-111-1-11
χ261111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1111111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11-1-111-111-111-11-1-1111-1-1-1-111-111-1-111-1
χ271111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1111111111-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-111-11-1-1-11-1-11-111-1-1-11111-1-1-111-1-111-1
χ281111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1111111111-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11-1-111-111-111-11-1-11-1-11111-1-11-1-111-1-11
χ291111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-11-1-1-1-1111111-1-111-1-11111-1-11111-1-1-1-1-1-1-1-111111-1-11-11-11-111-11-1-11-11-1-11111-1-11-1-11-111-1
χ301111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-11-1-1-1-1111111-1-111-1-11111-1-11111-1-1-1-1-1-1-1-11111-111-11-1-111-1-11-111-11-1-1-11111-1-1-111-11-1-11
χ311111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-11-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-11-1-11-11-11-111-11-1-11-1111-1-1-1-111-111-11-1-11
χ321111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-11-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-1-111-11-1-111-1-11-111-11-111-1-1-1-1111-1-11-111-1
χ33222222222222222222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-22222220000000000000000000000-2-200000000000000000000000000
χ34222222222222222222-2-2-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-200000000000000000000002200000000000000000000000000
χ3522222222222222-2-2-2-222-2-2-2-2-2-222000022-2-200002-22-20000000000000000000000020022000200-2-200-2-20000000000000000
χ3622222222222222-2-2-2-222-2-2-2-2-2-222000022-2-200002-22-200000000000000000000000-200-2-2000-2002200220000000000000000
χ3722222222222222-2-2-2-2-2-222-2-2-2-2220000-2-2220000-22-2200000000000000000000002022000020-2-200-2-2000000000000000000
χ3822222222222222-2-2-2-2-2-222-2-2-2-2220000-2-2220000-22-220000000000000000000000-20-2-20000-20220022000000000000000000
χ392222222222-2-2-2-2222222-2-2-2-2-2-2-2-2000022-2-20000-22-22000000000000000000000020-2-2000020-2-20022000000000000000000
χ402222222222-2-2-2-2222222-2-2-2-2-2-2-2-2000022-2-20000-22-220000000000000000000000-20220000-202200-2-2000000000000000000
χ412222222222-2-2-2-22222-2-222-2-2-2-2-2-20000-2-22200002-22-200000000000000000000000200-2-2000200-2-200220000000000000000
χ422222222222-2-2-2-22222-2-222-2-2-2-2-2-20000-2-22200002-22-200000000000000000000000-20022000-2002200-2-20000000000000000
χ432222222222-2-2-2-2-2-2-2-222222222-2-2222222222222-2-2-2-222-2-2-2-20000000000000000000000-2-200000000000000000000000000
χ442222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2222200000000000000000000002200000000000000000000000000
χ452222-2-2-2-22222-2-222-2-2-2-2-2-222-2-22-222222222-2-222-2-222-2-222-2-20000000000000000000000-2200000000000000000000000000
χ462222-2-2-2-22222-2-222-2-2-2-2-2-222-2-22-2-2-2-2-2222222-2-2-2-22222-2-22200000000000000000000002-200000000000000000000000000
χ472222-2-2-2-22222-2-2-2-22222-2-2-2-2222-20000-2-22200002-2-2200000000000000000000000200-22000-2002-2002-20000000000000000
χ482222-2-2-2-22222-2-2-2-22222-2-2-2-2222-20000-2-22200002-2-2200000000000000000000000-2002-2000200-2200-220000000000000000
χ492222-2-2-2-22222-2-2-2-222-2-222-2-2222-2000022-2-20000-222-20000000000000000000000202-20000-20-2200-22000000000000000000
χ502222-2-2-2-22222-2-2-2-222-2-222-2-2222-2000022-2-20000-222-20000000000000000000000-20-220000202-2002-2000000000000000000
χ512222-2-2-2-222-2-22222-2-222-2-2-2-222-220000-2-2220000-222-2000000000000000000000020-220000-20-22002-2000000000000000000
χ522222-2-2-2-222-2-22222-2-222-2-2-2-222-220000-2-2220000-222-20000000000000000000000-202-20000202-200-22000000000000000000
χ532222-2-2-2-222-2-22222-2-2-2-222-2-222-22000022-2-200002-2-22000000000000000000000002002-2000-2002-200-220000000000000000
χ542222-2-2-2-222-2-22222-2-2-2-222-2-222-22000022-2-200002-2-2200000000000000000000000-200-22000200-22002-20000000000000000
χ552222-2-2-2-222-2-222-2-222222222-2-2-222222-2-2-2-222-2-2-2-222-2-2-2-2220000000000000000000000-2200000000000000000000000000
χ562222-2-2-2-222-2-222-2-222222222-2-2-22-2-2-2-2-2-2-2-2-2-222-2-2222222-2-200000000000000000000002-200000000000000000000000000
χ572-2-2222-2-22-2000000002i−2i2i−2i2-22-2002i2i−2i−2i2i−2i2i−2i2-22-200002i−2i00001+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i0000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000
χ582-2-2222-2-22-2000000002i−2i2i−2i2-22-2002i2i−2i−2i2i−2i2i−2i2-22-200002i−2i0000−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i000000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000
χ592-2-2222-2-22-2000000002i−2i2i−2i2-22-200−2i−2i2i2i2i−2i2i−2i-22-220000−2i2i00001+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i000000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000
χ602-2-2222-2-22-2000000002i−2i2i−2i2-22-200−2i−2i2i2i2i−2i2i−2i-22-220000−2i2i0000−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i0000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000
χ612-2-2222-2-22-200000000−2i2i−2i2i2-22-2002i2i−2i−2i−2i2i−2i2i-22-2200002i−2i00001−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i000000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000
χ622-2-2222-2-22-200000000−2i2i−2i2i2-22-2002i2i−2i−2i−2i2i−2i2i-22-2200002i−2i0000−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i0000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000
χ632-2-2222-2-22-200000000−2i2i−2i2i2-22-200−2i−2i2i2i−2i2i−2i2i2-22-20000−2i2i00001−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i0000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000
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χ652-2-22-2-2222-2000000002i−2i2i−2i2-2-22002i2i−2i−2i−2i2i−2i2i2-2-220000−2i2i00001−i1−i−1+i−1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i1+i1+i−1−i−1−i000000000000000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i00000000
χ662-2-22-2-2222-2000000002i−2i2i−2i2-2-22002i2i−2i−2i−2i2i−2i2i2-2-220000−2i2i0000−1+i−1+i1−i1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i−1−i−1−i1+i1+i0000000000000000001+i−1−i−1−i1+i−1+i1−i1−i−1+i00000000
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χ702-2-22-2-2222-200000000−2i2i−2i2i2-2-22002i2i−2i−2i2i−2i2i−2i-222-20000−2i2i0000−1−i−1−i1+i1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−1+i−1+i1−i1−i000000000000000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i00000000
χ712-2-22-2-2222-200000000−2i2i−2i2i2-2-2200−2i−2i2i2i2i−2i2i−2i2-2-2200002i−2i00001+i1+i−1−i−1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i1−i1−i−1+i−1+i000000000000000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i00000000
χ722-2-22-2-2222-200000000−2i2i−2i2i2-2-2200−2i−2i2i2i2i−2i2i−2i2-2-2200002i−2i0000−1−i−1−i1+i1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−1+i−1+i1−i1−i0000000000000000001−i−1+i−1+i1−i−1−i1+i1+i−1−i00000000
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χ864-4-444-4-44-440000-44-4400000000000000000000000000000000-222-2-222-2-222-2-222-20000000000000000000000000000000000
χ874-4-44-444-4-4400004-4-44000000000000000000000000000000002-2-22-222-2-222-22-2-220000000000000000000000000000000000
χ884-4-44-444-4-4400004-4-4400000000000000000000000000000000-222-22-2-222-2-22-222-20000000000000000000000000000000000
χ894-4-44-444-4-440000-444-4000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i0000000000000000000000000000000000
χ904-4-44-444-4-440000-444-400000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000000000
χ914-4-44-4-4444-4000000004i−4i−4i4i-444-4000000−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000
χ924-4-44-4-4444-400000000−4i4i4i−4i-444-40000004i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000
χ9388-8-8000000008i−8i000000000000004i−4i4i−4i00000000000000004-400000000000000000000000000000000000000000000000000
χ9488-8-8000000008i−8i00000000000000−4i4i−4i4i0000000000000000-4400000000000000000000000000000000000000000000000000
χ9588-8-800000000−8i8i000000000000004i−4i4i−4i0000000000000000-4400000000000000000000000000000000000000000000000000
χ9688-8-800000000−8i8i00000000000000−4i4i−4i4i00000000000000004-400000000000000000000000000000000000000000000000000
χ978-88-80000008i−8i00000000000000004-4-44000000000000004i−4i0000000000000000000000000000000000000000000000000000
χ988-88-80000008i−8i0000000000000000-444-400000000000000−4i4i0000000000000000000000000000000000000000000000000000
χ998-88-8000000−8i8i00000000000000004-4-4400000000000000−4i4i0000000000000000000000000000000000000000000000000000
χ1008-88-8000000−8i8i0000000000000000-444-4000000000000004i−4i0000000000000000000000000000000000000000000000000000

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