Finite Group Databasebeta

← Group #72261838

Character table — Group #72261838

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119
size111122222222224444444444888888888888888888888888888816161616161616161616161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232323232323232323264646464
order12222222224444222222224422224444444444444444444444442222222222224444444444444444444444444444444444444444444888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-11-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-11-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ911111111111111-1-1-1-111111111-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ1011111111111111-1-1-1-111111111-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111
χ1111111111111111-1-1-1-111111111-1-111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ1211111111111111-1-1-1-111111111-1-111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-11-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1
χ1311111111111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ1411111111111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1
χ1511111111111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ1611111111111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111
χ171111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-11111111111-1-1-1-111111111-1-111-1-111-1-111-1-11-111-1-1-1-1-1-111-1-111-1-1-1-11-11-111-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−ii−ii−i
χ181111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-11111111111-1-1-1-111111111-1-111-1-111-1-111-1-11-111-1-1-1-1-1-111-1-111-1-1-1-11-11-111-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−ii−ii
χ191111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111-111-1-1111111-1-1111111-11-11-1-1-1ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii−ii−ii
χ201111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111-111-1-1111111-1-1111111-11-11-1-1-1−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−ii−ii−i
χ211111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1111111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-1111-1-1-111-1-111-1-111-1-1-1-1111-1-111-11ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−ii−ii
χ221111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1111111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-1111-1-1-111-1-111-1-111-1-1-1-1111-1-111-11−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiii−ii−i
χ231111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-11-1-1-11111-1-1-1-111-1-111-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iiii−ii−i
χ241111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-11-1-1-11111-1-1-1-111-1-111-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i−ii−ii
χ251111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-11-1-111-1-11111-1-1-1-1-1-111-111-11-11ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiii−i−ii
χ261111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-11-1-111-1-11111-1-1-1-1-1-111-111-11-11−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−iii−i
χ271111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-11-1-11111-1-111-1-1-1-111-1-11-1-11-111ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i−iii−i
χ281111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-11-1-11111-1-111-1-1-1-111-1-11-1-11-111−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iiii−i−ii
χ291111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111111-1-1-1-1111111111111-1-1-1-111-1-111-1-111-1111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1111-1ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−iii−i
χ301111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111111-1-1-1-1111111111111-1-1-1-111-1-111-1-111-1111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1111-1−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−ii−i−ii
χ311111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1111-1-11111-1-1111111111-11-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−ii−i−ii
χ321111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1111-1-11111-1-1111111111-11-1-1-1-1−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii−iii−i
χ3322222222222222222222-2-2222-22222-2-2-2-20000000000002222-2-22-22-200002222-2-2000000-2-2000000002200-2-20-200000000000000000000000000000
χ3422222222222222222222-2-2222-22222-2-2-2-2000000000000-2-2-2-2-2-22-22-20000-2-2-2-2-2-20000002200000000-2-200220200000000000000000000000000000
χ35222222222222222222-2-22222-2222-2-222-2-20000000022220000-2-2-22-2222220000-2-20000-2-2000000002200-2-200-2000000000000000000000000000000
χ36222222222222222222-2-22222-2222-2-222-2-200000000-2-2-2-20000-2-2-22-22-2-2-2-20000-2-200002200000000-2-20022002000000000000000000000000000000
χ37222222222222222222-2-2-2-222-2-222-2-2-2-222222222220000000022-2-2-2-2000000002222220000-2-2-2-2-2-20000000000-20000000000000000000000000000
χ38222222222222222222-2-2-2-222-2-222-2-2-2-222-2-2-2-2-2-2-2-20000000022-2-2-2-20000000022-2-2-2-20000222222000000000020000000000000000000000000000
χ3922222222222222-2-2-2-222-2-2222-2-2-222-2-2-2-20000000000002222-2-2-22-220000-2-2-2-222000000-2-2000000002200220-200000000000000000000000000000
χ4022222222222222-2-2-2-222-2-2222-2-2-222-2-2-2-2000000000000-2-2-2-2-2-2-22-2200002222220000002200000000-2-200-2-20200000000000000000000000000000
χ4122222222222222-2-2-2-2-2-22222-22-2-2-2-222-2-20000000022220000-2-22-22-2-2-2-2-20000220000-2-20000000022002200-2000000000000000000000000000000
χ4222222222222222-2-2-2-2-2-22222-22-2-2-2-222-2-200000000-2-2-2-20000-2-22-22-2222200002200002200000000-2-200-2-2002000000000000000000000000000000
χ4322222222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-222222222220000000022222200000000-2-2-2-2-2-20000-2-2-2-222000000000020000000000000000000000000000
χ4422222222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-20000000022222200000000-2-2222200002222-2-20000000000-20000000000000000000000000000
χ452222222222-2-2-2-222-2-22222-2-2222-2-2-2-2-2222222-2-2-2-200000000-2-2-2-222000000002-222-2-20000-2-222-2-2000000000020000000000000000000000000000
χ462222222222-2-2-2-222-2-22222-2-2222-2-2-2-2-222-2-2-2-2222200000000-2-2-2-222000000002-2-2-222000022-2-2220000000000-20000000000000000000000000000
χ472222222222-2-2-2-222-2-222-2-2-2-22-22-2-2-222-2-2000000002222000022-222-222-2-20000-2200002200000000-2-200-2200-2000000000000000000000000000000
χ482222222222-2-2-2-222-2-222-2-2-2-22-22-2-2-222-2-200000000-2-2-2-2000022-222-2-2-2220000-220000-2-20000000022002-2002000000000000000000000000000000
χ492222222222-2-2-2-222-2-2-2-222-2-2-222-222-2-2-2-20000000000002222222-2-22000022-2-2-220000002200000000-2-200-220-200000000000000000000000000000
χ502222222222-2-2-2-222-2-2-2-222-2-2-222-222-2-2-2-2000000000000-2-2-2-2222-2-220000-2-222-22000000-2-20000000022002-20200000000000000000000000000000
χ512222222222-2-2-2-2-2-2222222-2-222-22-2-2-2-2222222-2-2-2-200000000-2-222-2-200000000-22-2-2220000-2-222220000000000-20000000000000000000000000000
χ522222222222-2-2-2-2-2-2222222-2-222-22-2-2-2-222-2-2-2-2222200000000-2-222-2-200000000-2222-2-2000022-2-2-2-2000000000020000000000000000000000000000
χ532222222222-2-2-2-2-2-22222-2-2-2-22-2-22-2-222-2-20000000022220000222-2-22-2-22200002-200002200000000-2-2002-200-2000000000000000000000000000000
χ542222222222-2-2-2-2-2-22222-2-2-2-22-2-22-2-222-2-200000000-2-2-2-20000222-2-2222-2-200002-20000-2-2000000002200-22002000000000000000000000000000000
χ552222222222-2-2-2-2-2-222-2-222-2-2-22-2222-2-2-2-2000000000000222222-222-20000-2-2222-20000002200000000-2-2002-20-200000000000000000000000000000
χ562222222222-2-2-2-2-2-222-2-222-2-2-22-2222-2-2-2-2000000000000-2-2-2-222-222-2000022-2-22-2000000-2-2000000002200-220200000000000000000000000000000
χ572222-222-2-2-222-2-2000022-2-22-2-22002-22-22-22i2i−2i−2i2i2i−2i−2i000000002-200000000000000000000002i−2i2i−2i000000000000000002i−2i2i−2i00002-22-2000000000000
χ582222-222-2-2-222-2-2000022-2-22-2-22002-22-22-22i2i−2i−2i2i2i−2i−2i000000002-200000000000000000000002i−2i2i−2i00000000000000000−2i2i−2i2i0000-22-22000000000000
χ592222-222-2-2-222-2-2000022-2-22-2-22002-22-22-2−2i−2i2i2i−2i−2i2i2i000000002-20000000000000000000000−2i2i−2i2i000000000000000002i−2i2i−2i0000-22-22000000000000
χ602222-222-2-2-222-2-2000022-2-22-2-22002-22-22-2−2i−2i2i2i−2i−2i2i2i000000002-20000000000000000000000−2i2i−2i2i00000000000000000−2i2i−2i2i00002-22-2000000000000
χ612222-222-2-2-222-2-20000-2-2222-22-200-22-222-22i2i−2i−2i2i2i−2i−2i000000002-20000000000000000000000−2i2i−2i2i00000000000002-22-200002i−2i2i−2i0000000000000000
χ622222-222-2-2-222-2-20000-2-2222-22-200-22-222-22i2i−2i−2i2i2i−2i−2i000000002-20000000000000000000000−2i2i−2i2i0000000000000-22-220000−2i2i−2i2i0000000000000000
χ632222-222-2-2-222-2-20000-2-2222-22-200-22-222-2−2i−2i2i2i−2i−2i2i2i000000002-200000000000000000000002i−2i2i−2i00000000000002-22-20000−2i2i−2i2i0000000000000000
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χ702222-222-2-2-2-2-2220000-2-222-222-2002-22-22-22i2i−2i−2i−2i−2i2i2i00000000-2200000000000000000000002i−2i−2i2i00000000000000000-222-200002i−2i−2i2i000000000000
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χ904-44-4-4000044-44-4-44-4400000000000000002-22-22-22-2-2-22222-2-20000002-22-2-22-2200-22-220000000000-222-200000000000000000000000000000000000
χ914-44-4-4000044-44-4-44-440000000000000000-22-22-22-2222-2-222-2-2000000-22-22-22-22002-22-200000000002-22-200000000000000000000000000000000000
χ924-44-4-4000044-44-4-44-440000000000000000-22-22-22-22-2-222-2-2220000002-22-22-22-2002-22-20000000000-22-2200000000000000000000000000000000000
χ934-44-4-400004-44-444-4-4400000000000000002-22-2-22-2222-2-222-2-20000002-2-222-2-22002-2-220000000000-22-2200000000000000000000000000000000000
χ944-44-4-400004-44-444-4-4400000000000000002-22-2-22-22-2-222-2-222000000-222-2-222-2002-2-2200000000002-22-200000000000000000000000000000000000
χ954-44-4-400004-44-444-4-440000000000000000-22-222-22-222-2-2-2-2220000002-2-22-222-200-222-20000000000-222-200000000000000000000000000000000000
χ964-44-4-400004-44-444-4-440000000000000000-22-222-22-2-2-22222-2-2000000-222-22-2-2200-222-200000000002-2-2200000000000000000000000000000000000
χ974-44-4-400004-44-44-444-400000000000000002-22-2-22-2222-2-2-2-222000000-222-22-2-2200-222-20000000000-222-200000000000000000000000000000000000
χ984-44-4-400004-44-44-444-400000000000000002-22-2-22-22-2-22222-2-20000002-2-22-222-200-222-200000000002-2-2200000000000000000000000000000000000
χ994-44-4-400004-44-44-444-40000000000000000-22-222-22-222-2-222-2-2000000-222-2-222-2002-2-220000000000-22-2200000000000000000000000000000000000
χ1004-44-4-400004-44-44-444-40000000000000000-22-222-22-2-2-222-2-2220000002-2-222-2-22002-2-2200000000002-22-200000000000000000000000000000000000
χ1018888-8-8-888-888-8-800000000-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028888-8-8-888-8-8-888000000008-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10388-8-8000-880000000000000000000000000000000004-44-44-44-400000000000000000000000000004-4000000000000000000000000000000000000000
χ10488-8-8000-880000000000000000000000000000000004-44-4-44-440000000000000000000000000000-44000000000000000000000000000000000000000
χ10588-8-8000-88000000000000000000000000000000000-44-444-44-40000000000000000000000000000-44000000000000000000000000000000000000000
χ10688-8-8000-88000000000000000000000000000000000-44-44-44-4400000000000000000000000000004-4000000000000000000000000000000000000000
χ1078-88-880000-88-8-88000000000000000000004i−4i−4i4i4i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-880000-88-8-8800000000000000000000−4i4i4i−4i−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-880000-8-888-8000000000000000000004i−4i−4i4i−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-880000-8-888-800000000000000000000−4i4i4i−4i4i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-8-8808-800000000000008-80000000000000000000000004-4-4400000000000000000000004-4000000000000000000000000000000000000000000000
χ1128-8-8808-800000000000008-8000000000000000000000000-444-40000000000000000000000-44000000000000000000000000000000000000000000000
χ1138-8-8808-80000000000000-880000000000000000000000004-4-440000000000000000000000-44000000000000000000000000000000000000000000000
χ1148-8-8808-80000000000000-88000000000000000000000000-444-400000000000000000000004-4000000000000000000000000000000000000000000000
χ1158-8-880-88000000000008-800000000000000000000004-4-440000000000000000000000004-400000000000000000000000000000000000000000000000
χ1168-8-880-88000000000008-80000000000000000000000-444-4000000000000000000000000-4400000000000000000000000000000000000000000000000
χ1178-8-880-8800000000000-8800000000000000000000004-4-44000000000000000000000000-4400000000000000000000000000000000000000000000000
χ1188-8-880-8800000000000-880000000000000000000000-444-40000000000000000000000004-400000000000000000000000000000000000000000000000
χ1191616-16-1600016-1600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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