Finite Group Databasebeta

← Group #72260573

Character table — Group #72260573

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size11112222224444444444448888888888888888888888888888161616161616161616161616161616161616161616161616161632323232323232323232323232323232323232323232323232326464646464646464
order12222222222222224444442222222224444444444444444444222222224444444444444444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ5111111111111111111111111111-1-1-1-11111111-1-1-1-11111111111-1-1-1-1-1-1111-1-11-1-111-1-1111111-1-11-1-1-1-11-1-11111111111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111-1-1-1-11111111-1-1-1-11111111111-1-1-1-1-1-1111-1-11-1-111-1-1111111-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ9111111111111-1-1-1-1111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1111111-111-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i
χ10111111111111-1-1-1-1111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1111111-111-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii
χ11111111111111-1-1-1-1111111111-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-1-111111-1-11111-1-1-1-1-1-11-1-1-1-1111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii
χ12111111111111-1-1-1-1111111111-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-1-111111-1-11111-1-1-1-1-1-11-1-1-1-1111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i
χ13111111111111-1-1-1-1111111111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1111-1-111-1-1-1-11111-1-1-1-1-111-111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii
χ14111111111111-1-1-1-1111111111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1111-1-111-1-1-1-11111-1-1-1-1-111-111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i
χ15111111111111-1-1-1-1111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11-1-1-1-11-1-1-1-1-1-111-1-1-1-111111111-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i
χ16111111111111-1-1-1-1111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11-1-1-1-11-1-1-1-1-1-111-1-1-1-111111111-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii
χ171111111111-1-11111-1-1111111-1111111-1111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-111-1-1-11111-1-111-1-111-1-111-1-11-11-11-11-1
χ181111111111-1-11111-1-1111111-1111111-1111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-111-1-1-111-1-111-1-111-1-111-1-111-11-11-11-11
χ191111111111-1-11111-1-1111111-1111111-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-111-111-1-1-1-1-1-11111111-1-1-1-11-1-111-1-111-1-1-1-111-1-1111-11-1-11-11
χ201111111111-1-11111-1-1111111-1111111-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-111-111-1-1-1-1-1-11111111-1-1-1-11-1-1-1-111-1-11111-1-111-1-1-11-111-11-1
χ211111111111-1-11111-1-1111111-111-1-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-111-1-1-1111111-1-1-1-111-1-1-111-1-1-111-1-111-1-111-1-111-1-1-11-11-11-11
χ221111111111-1-11111-1-1111111-111-1-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-111-1-1-1111111-1-1-1-111-1-1-111-1-1-1-1-111-1-111-1-111-1-1111-11-11-11-1
χ231111111111-1-11111-1-1111111-111-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111111111-1-111-1-1-1-111-1-111-11-111-11-1
χ241111111111-1-11111-1-1111111-111-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-111-1-11111-1-111-1-11-11-1-11-11
χ251111111111-1-1-1-1-1-1-1-1111111-1-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-11111-11111-1-1-1-1-1-1-1-1-1-1111111-1-1ii−i−i−i−iiiii−i−i−i−iiii−i−iii−i−ii
χ261111111111-1-1-1-1-1-1-1-1111111-1-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-11111-11111-1-1-1-1-1-1-1-1-1-1111111-1-1−i−iiiii−i−i−i−iiiii−i−i−iii−i−iii−i
χ271111111111-1-1-1-1-1-1-1-1111111-1-1-11111-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-111-1-1-111-1-1-1-111111111-1-1-111-111ii−i−i−i−iii−i−iiiii−i−ii−i−ii−iii−i
χ281111111111-1-1-1-1-1-1-1-1111111-1-1-11111-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-111-1-1-111-1-1-1-111111111-1-1-111-111−i−iiiii−i−iii−i−i−i−iii−iii−ii−i−ii
χ291111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-1-11111-1-1-1-1-1-1111-1-1-1-1111ii−i−i−i−iiiii−i−i−i−iii−iii−i−iii−i
χ301111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-1-11111-1-1-1-1-1-1111-1-1-1-1111−i−iiiii−i−i−i−iiiii−i−ii−i−iii−i−ii
χ311111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111111111-11111-1-1-1-1-111111111-1-1-111-1-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i−iii−ii−i−ii
χ321111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111111111-11111-1-1-1-1-111111111-1-1-111-1-1-1-1-1−i−iiiii−i−iii−i−i−i−iiii−i−ii−iii−i
χ332222222222222222-2-2-2-2-2-2-2-22220000-222222200002222-2-2-2-222000000-2-2-200200-2-200-2-222-2-200-20000200000000000000000000000000
χ342222222222222222-2-2-2-2-2-2-2-22220000-222-2-2-2-20000-2-2-2-2-2-2-2-222000000-2-2-200200220022-2-2220020000-200000000000000000000000000
χ3522222222222222-2-2222222-2-222-222222-2-200002222000022-2-22-222-2-200-22-200-2-2-200-2-2000000000002-2000000000000000000000000000
χ3622222222222222-2-2222222-2-222-2-2-2-2-22-2-20000-2-2-2-2000022-2-22-2-2-22200-22-200-222002200000000000-22000000000000000000000000000
χ3722222222222222-2-2-2-2-2-2-2-22222-20000-2-2-2000000000000-2-2222-20000222-22-2-2-20000000000002-202-20002-2000000000000000000000000
χ3822222222222222-2-2-2-2-2-2-2-22222-20000-2-2-2000000000000-2-2222-20000-2-22-2222-2000000000000-220-22000-22000000000000000000000000
χ39222222222222-2-222222222-2-22-2222222-2-2000022220000-2-222-22-2-22200-2-2200-2-2-200-2-200000000000-22000000000000000000000000000
χ40222222222222-2-222222222-2-22-22-2-2-2-22-2-20000-2-2-2-20000-2-222-2222-2-200-2-2200-2220022000000000002-2000000000000000000000000000
χ41222222222222-2-222-2-2-2-2-2-2222-220000-2-2-200000000000022-2-2-2200002222-2-2-2-2000000000000-220-220002-2000000000000000000000000
χ42222222222222-2-222-2-2-2-2-2-2222-220000-2-2-200000000000022-2-2-220000-2-222-222-20000000000002-202-2000-22000000000000000000000000
χ43222222222222-2-2-2-2-2-2-2-2-2-2-2-22-2-20000-22222220000-2-2-2-22222-2-2000000-22200200-2-2002222-2-20020000-200000000000000000000000000
χ44222222222222-2-2-2-2-2-2-2-2-2-2-2-22-2-20000-222-2-2-2-2000022222222-2-2000000-222002002200-2-2-2-22200-20000200000000000000000000000000
χ452222222222-2-2222222-2-2-2-2-2-2-2220000222222200002222-2-2-2-2-2-200000022200-200-2-200-2-2-2-2220020000-200000000000000000000000000
χ462222222222-2-2222222-2-2-2-2-2-2-2220000222-2-2-2-20000-2-2-2-2-2-2-2-2-2-200000022200-20022002222-2-200-20000200000000000000000000000000
χ472222222222-2-222-2-222-2-2-2-222-22-200002-2-2000000000000-2-222-22000022-22-2-2-220000000000002-20-22000-22000000000000000000000000
χ482222222222-2-222-2-222-2-2-2-222-22-200002-2-2000000000000-2-222-220000-2-2-22-2222000000000000-2202-20002-2000000000000000000000000
χ492222222222-2-222-2-2-2-22222-2-2-22-22222-2-2-20000-2-2-2-2000022-2-2-2222-2-2002-22002-2-2002200000000000-22000000000000000000000000000
χ502222222222-2-222-2-2-2-22222-2-2-22-2-2-2-2-2-2-2-200002222000022-2-2-22-2-222002-220022200-2-2000000000002-2000000000000000000000000000
χ512222222222-2-2-2-22222-2-2-2-222-2-2200002-2-200000000000022-2-22-2000022-2-22-2-22000000000000-2202-2000-22000000000000000000000000
χ522222222222-2-2-2-22222-2-2-2-222-2-2200002-2-200000000000022-2-22-20000-2-2-2-222220000000000002-20-220002-2000000000000000000000000
χ532222222222-2-2-2-222-2-22222-2-2-2-222222-2-2-20000-2-2-2-20000-2-2222-2-2-2220022-2002-2-20022000000000002-2000000000000000000000000000
χ542222222222-2-2-2-222-2-22222-2-2-2-22-2-2-2-2-2-2-2000022220000-2-2222-222-2-20022-20022200-2-200000000000-22000000000000000000000000000
χ552222222222-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2000022222220000-2-2-2-22222220000002-2-200-200-2-20022-2-22200-20000200000000000000000000000000
χ562222222222-2-2-2-2-2-222-2-2-2-2-2-2-2-2-20000222-2-2-2-2000022222222220000002-2-200-2002200-2-222-2-20020000-200000000000000000000000000
χ57222222-2-2-2-20022-2-20022-2-22-20-22000002-22i2i−2i−2i00002i2i−2i−2i2-22-200000000000000002i−2i002i−2i00000000000000002-2002-2002i−2i002i−2i00000000
χ58222222-2-2-2-20022-2-20022-2-22-20-22000002-22i2i−2i−2i00002i2i−2i−2i2-22-200000000000000002i−2i002i−2i0000000000000000-2200-2200−2i2i00−2i2i00000000
χ59222222-2-2-2-20022-2-20022-2-22-20-22000002-2−2i−2i2i2i0000−2i−2i2i2i2-22-20000000000000000−2i2i00−2i2i00000000000000002-2002-200−2i2i00−2i2i00000000
χ60222222-2-2-2-20022-2-20022-2-22-20-22000002-2−2i−2i2i2i0000−2i−2i2i2i2-22-20000000000000000−2i2i00−2i2i0000000000000000-2200-22002i−2i002i−2i00000000
χ61222222-2-2-2-20022-2-200-2-222-220-22000002-22i2i−2i−2i00002i2i−2i−2i-22-220000000000000000−2i2i00−2i2i000000000000002-2002-2002i−2i002i−2i0000000000
χ62222222-2-2-2-20022-2-200-2-222-220-22000002-22i2i−2i−2i00002i2i−2i−2i-22-220000000000000000−2i2i00−2i2i00000000000000-2200-2200−2i2i00−2i2i0000000000
χ63222222-2-2-2-20022-2-200-2-222-220-22000002-2−2i−2i2i2i0000−2i−2i2i2i-22-2200000000000000002i−2i002i−2i000000000000002-2002-200−2i2i00−2i2i0000000000
χ64222222-2-2-2-20022-2-200-2-222-220-22000002-2−2i−2i2i2i0000−2i−2i2i2i-22-2200000000000000002i−2i002i−2i00000000000000-2200-22002i−2i002i−2i0000000000
χ65222222-2-2-2-200-2-2220022-2-22-202-2000002-22i2i−2i−2i0000−2i−2i2i2i-22-2200000000000000002i−2i00−2i2i00000000000000002i−2i00−2i2i00-22002-200000000
χ66222222-2-2-2-200-2-2220022-2-22-202-2000002-22i2i−2i−2i0000−2i−2i2i2i-22-2200000000000000002i−2i00−2i2i0000000000000000−2i2i002i−2i002-200-2200000000
χ67222222-2-2-2-200-2-2220022-2-22-202-2000002-2−2i−2i2i2i00002i2i−2i−2i-22-220000000000000000−2i2i002i−2i00000000000000002i−2i00−2i2i002-200-2200000000
χ68222222-2-2-2-200-2-2220022-2-22-202-2000002-2−2i−2i2i2i00002i2i−2i−2i-22-220000000000000000−2i2i002i−2i0000000000000000−2i2i002i−2i00-22002-200000000
χ69222222-2-2-2-200-2-22200-2-222-2202-2000002-22i2i−2i−2i0000−2i−2i2i2i2-22-20000000000000000−2i2i002i−2i000000000000002i−2i00−2i2i00-22002-20000000000
χ70222222-2-2-2-200-2-22200-2-222-2202-2000002-22i2i−2i−2i0000−2i−2i2i2i2-22-20000000000000000−2i2i002i−2i00000000000000−2i2i002i−2i002-200-220000000000
χ71222222-2-2-2-200-2-22200-2-222-2202-2000002-2−2i−2i2i2i00002i2i−2i−2i2-22-200000000000000002i−2i00−2i2i000000000000002i−2i00−2i2i002-200-220000000000
χ72222222-2-2-2-200-2-22200-2-222-2202-2000002-2−2i−2i2i2i00002i2i−2i−2i2-22-200000000000000002i−2i00−2i2i00000000000000−2i2i002i−2i00-22002-20000000000
χ73444444-4-4-4-40044440044-4-4-440-4-400000-440000000000004-4-44000000000000000000000000000000000000000000000000000000000000
χ74444444-4-4-4-400444400-4-4444-40-4-400000-44000000000000-444-4000000000000000000000000000000000000000000000000000000000000
χ75444444-4-4-4-400-4-4-4-40044-4-4-4404400000-44000000000000-444-4000000000000000000000000000000000000000000000000000000000000
χ76444444-4-4-4-400-4-4-4-400-4-4444-404400000-440000000000004-4-44000000000000000000000000000000000000000000000000000000000000
χ774444-4-4-44-44440000444-44-400-4000000-4000000000000000000000000000000004-4004-40000000000000000000000000000000000000000
χ784444-4-4-44-44440000444-44-400-4000000-400000000000000000000000000000000-4400-440000000000000000000000000000000000000000
χ794444-4-4-44-44440000-4-4-44-4400-40044-4-4400000044-4-400000000000000000000000000000000000000000000000000000000000000000000
χ804444-4-4-44-44440000-4-4-44-4400-400-4-4444000000-4-44400000000000000000000000000000000000000000000000000000000000000000000
χ814444-4-4-44-44-4-4000044-44-440040044-4-4-4000000-4-44400000000000000000000000000000000000000000000000000000000000000000000
χ824444-4-4-44-44-4-4000044-44-4400400-4-444-400000044-4-400000000000000000000000000000000000000000000000000000000000000000000
χ834444-4-4-44-44-4-40000-4-44-44-40040000004000000000000000000000000000000004-400-440000000000000000000000000000000000000000
χ844444-4-4-44-44-4-40000-4-44-44-4004000000400000000000000000000000000000000-44004-40000000000000000000000000000000000000000
χ858888-8-88-88-8000000008-8-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ868888-8-88-88-800000000-888-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ8788-8-800080-80000008i−8i00000000000000004i−4i4i−4i0000000000000000000000000000000000004-40000000000000000000000000000000000
χ8888-8-800080-80000008i−8i0000000000000000−4i4i−4i4i000000000000000000000000000000000000-440000000000000000000000000000000000
χ8988-8-800080-8000000−8i8i00000000000000004i−4i4i−4i000000000000000000000000000000000000-440000000000000000000000000000000000
χ9088-8-800080-8000000−8i8i0000000000000000−4i4i−4i4i0000000000000000000000000000000000004-40000000000000000000000000000000000
χ9188-8-8000-8088-800000000000000000000004-4-4400000000000000000000000000000000004-4000000000000000000000000000000000000
χ9288-8-8000-8088-80000000000000000000000-444-40000000000000000000000000000000000-44000000000000000000000000000000000000
χ9388-8-8000-808-8800000000000000000000004-4-440000000000000000000000000000000000-44000000000000000000000000000000000000
χ9488-8-8000-808-880000000000000000000000-444-400000000000000000000000000000000004-4000000000000000000000000000000000000
χ958-88-80080-8000000000000000000000000000004-44-44i−4i4i−4i0000000000000004i−4i00000000000000000000000000000000000000000000000
χ968-88-80080-8000000000000000000000000000004-44-4−4i4i−4i4i000000000000000−4i4i00000000000000000000000000000000000000000000000
χ978-88-80080-800000000000000000000000000000-44-444i−4i4i−4i000000000000000−4i4i00000000000000000000000000000000000000000000000
χ988-88-80080-800000000000000000000000000000-44-44−4i4i−4i4i0000000000000004i−4i00000000000000000000000000000000000000000000000
χ998-88-800-808000000000000000000000000000004-4-444-4-4400000000004-40000000000000000000000000000000000000000000000000000
χ1008-88-800-808000000000000000000000000000004-4-44-444-40000000000-440000000000000000000000000000000000000000000000000000
χ1018-88-800-80800000000000000000000000000000-444-44-4-440000000000-440000000000000000000000000000000000000000000000000000
χ1028-88-800-80800000000000000000000000000000-444-4-444-400000000004-40000000000000000000000000000000000000000000000000000
χ1038-8-888-8000000008-8000000000004-44-4000000000000000000000004-4000000000000000000000000000000000000000000000000000000
χ1048-8-888-8000000008-800000000000-44-4400000000000000000000000-44000000000000000000000000000000000000000000000000000000
χ1058-8-888-800000000-88000000000004-44-400000000000000000000000-44000000000000000000000000000000000000000000000000000000
χ1068-8-888-800000000-8800000000000-44-44000000000000000000000004-4000000000000000000000000000000000000000000000000000000
χ1078-8-88-880000008-800000000000004-4-440000000000000000000004-400000000000000000000000000000000000000000000000000000000
χ1088-8-88-880000008-80000000000000-444-4000000000000000000000-4400000000000000000000000000000000000000000000000000000000
χ1098-8-88-88000000-8800000000000004-4-44000000000000000000000-4400000000000000000000000000000000000000000000000000000000
χ1108-8-88-88000000-880000000000000-444-40000000000000000000004-400000000000000000000000000000000000000000000000000000000

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