Finite Group Databasebeta

← Group #72233185

Character table — Group #72233185

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size111122222244444444444444888888888888888888888888888888816161616161616161616161616161616161616161616161616161616161632323232323232323232323232323232323232323232326464646464646464
order12222222222222222222224422222222222222222244444444444442222222244444444444444444444444444444444444448888888844448888
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
χ3111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-11111-1-111-11-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-11111-1-111-11-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ911111111111111111111-1-1-1-1111-11111-1-1-1-11111-1-111-11111-1-1-1-1-1-11-1-1-111111-1-1-1111111-1-111-1-1-1-1-1-1-1-11-11-1-11-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i
χ1011111111111111111111-1-1-1-1111-11111-1-1-1-11111-1-111-11111-1-1-1-1-1-11-1-1-111111-1-1-1111111-1-111-1-1-1-1-1-1-1-11-11-1-11-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii
χ1111111111111111111111-1-1-1-1111-11111-1-1-1-1-1-1-1-1-1-111-111111111-1-11-1-1-1-1-1-1-11-1-1-1-1-1-1-1111111-1-1111111-11-11-1-11iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii
χ1211111111111111111111-1-1-1-1111-11111-1-1-1-1-1-1-1-1-1-111-111111111-1-11-1-1-1-1-1-1-11-1-1-1-1-1-1-1111111-1-1111111-11-11-1-11−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i
χ1311111111111111111111-1-1-1-1111-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-11-11111-1-11-1-1-111-1-1-1-111-1-111-1-111111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii
χ1411111111111111111111-1-1-1-1111-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-11-11111-1-11-1-1-111-1-1-1-111-1-111-1-111111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i
χ1511111111111111111111-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-11111-1-11-111-1-1111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-111-1111iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i
χ1611111111111111111111-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-11111-1-11-111-1-1111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-111-1111−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii
χ17111111111111111111-1-1111111-1111111111111111-1-111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11-11-11-11-1
χ18111111111111111111-1-1111111-1111111111111111-1-111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-11-11-11-11
χ19111111111111111111-1-1111111-1111111111-1-1-1-111-1-111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-11111-1-111-1-1-1-111-1-1111-11-1-11-11
χ20111111111111111111-1-1111111-1111111111-1-1-1-111-1-111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-111-1-111-1-11111-1-111-1-1-11-111-11-1
χ21111111111111111111-1-1111111-11-1-1-1-1-1-1-1-1111111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-11111-111-1-111-1-111-1-111-1-1-11-11-11-11
χ22111111111111111111-1-1111111-11-1-1-1-1-1-1-1-1111111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-11111-1-1-111-1-111-1-111-1-1111-11-11-11-1
χ23111111111111111111-1-1111111-11-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1111111-1-11-1111-1-111-1-1-1-111-1-111-11-111-11-1
χ24111111111111111111-1-1111111-11-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1111111-1-11-11-1-111-1-11111-1-111-1-11-11-1-11-11
χ25111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-111-11111111-1-111-1-111-1-1-1-1-1-1-11-111-11ii−i−i−i−iiiii−i−i−i−iiii−i−iii−i−ii
χ26111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-111-11111111-1-111-1-111-1-1-1-1-1-1-11-111-11−i−iiiii−i−i−i−iiiii−i−i−iii−i−iii−i
χ27111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-11-1-111-1-1-1111-1-1-1-1-1-1-1-1-1-1111111111-11-111-1ii−i−i−i−iii−i−iiiii−i−ii−i−ii−iii−i
χ28111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-11-1-111-1-1-1111-1-1-1-1-1-1-1-1-1-1111111111-11-111-1−i−iiiii−i−iii−i−i−i−iii−iii−ii−i−ii
χ29111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-111111-1-111-1-111-1-1-1-11111-111-1-111ii−i−i−i−iiiii−i−i−i−iii−iii−i−iii−i
χ30111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-111111-1-111-1-111-1-1-1-11111-111-1-111−i−iiiii−i−i−i−iiiii−i−ii−i−iii−i−ii
χ31111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111111-1111-1-111111111-1-111-1-1-1-11-1-11-1-1-1ii−i−i−i−iii−i−iiiii−i−i−iii−ii−i−ii
χ32111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111111-1111-1-111111111-1-111-1-1-1-11-1-11-1-1-1−i−iiiii−i−iii−i−i−i−iiii−i−ii−iii−i
χ3322222222222222-2-2-2-2222222-2-222000000002222-2-2-2-2200002222-2-222002200-2-2-22-2-20000000000-2-20000-2-200002000000000000000000000000
χ3422222222222222-2-2-2-2222222-2-22200000000-2-2-2-2-2-2-2-220000-2-2-2-2-2-22200-2-200-2-2-22220000000000220000220000-2000000000000000000000000
χ3522222222222222-2-2-2-222-2-2-2-2-2-22-200000000222222-2-2-20000-2-2-2-2222-2002200-222-2-2-20000000000220000-220000-2000000000000000000000000
χ3622222222222222-2-2-2-222-2-2-2-2-2-22-200000000-2-2-2-222-2-2-200002222222-200-2-200-222-2220000000000-2-200002-200002000000000000000000000000
χ3722222222222222-2-2-2-2-2-22222-2-2-22000000002222-2-222200002222-2-2-2-200-2-200222-2-2-20000000000-2-20000220000-2000000000000000000000000
χ3822222222222222-2-2-2-2-2-22222-2-2-2200000000-2-2-2-2-2-22220000-2-2-2-2-2-2-2-2002200222-2220000000000220000-2-200002000000000000000000000000
χ3922222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000022222222-20000-2-2-2-222-2200-2-2002-2-22-2-200000000002200002-200002000000000000000000000000
χ4022222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000-2-2-2-22222-20000222222-220022002-2-22220000000000-2-20000-220000-2000000000000000000000000
χ412222222222-2-2-2-222222222-2-2-2-2222222222200002222-2-2-2-2-20000-2-2-22-2-20000-22-2-20000-2-20022220000000000-200000000000000000000000000
χ422222222222-2-2-2-222222222-2-2-2-222-2-2-2-2-2-2-2-200002222-222220000-2-2-22220000-22-2-200002200-2-2-2-20000000000200000000000000000000000000
χ432222222222-2-2-2-2222222-2-222-2-22-22222-2-2-2-20000-2-2222-2-2-2-2000022-2-2220000-2-2220000-2-20022-2-20000000000200000000000000000000000000
χ442222222222-2-2-2-2222222-2-222-2-22-2-2-2-2-222220000-2-22222222000022-2-2-2-20000-2-22200002200-2-2220000000000-200000000000000000000000000
χ452222222222-2-2-2-22222-2-222-2-2-2-2-2222222222000022-2-2-2-2-2-2-20000-2-22-2-2-200002-22200002200-2-2-2-20000000000200000000000000000000000000
χ462222222222-2-2-2-22222-2-222-2-2-2-2-22-2-2-2-2-2-2-2-2000022-2-2-222220000-2-22-22200002-2220000-2-20022220000000000-200000000000000000000000000
χ472222222222-2-2-2-22222-2-2-2-222-2-2-2-22222-2-2-2-20000-2-2-2-22-2-2-2-20000222222000022-2-200002200-2-2220000000000-200000000000000000000000000
χ482222222222-2-2-2-22222-2-2-2-222-2-2-2-2-2-2-2-222220000-2-2-2-22222200002222-2-2000022-2-20000-2-20022-2-20000000000200000000000000000000000000
χ492222222222-2-2-2-2-2-2-2-22222-2-22222000000000000-2-2-2-2-20000000022-220000222-22-200-2-2002200000022-2-200-2-2020000000000000000000000000
χ502222222222-2-2-2-2-2-2-2-22222-2-22222000000000000-2-2-2-2-20000000022-220000-2-22-22-2002200-2-2000000-2-22200220-20000000000000000000000000
χ512222222222-2-2-2-2-2-2-2-222-2-222222-200000000000022-2-2200000000-2-2-2-200002222-2200-2-200-2-2000000-2-22200-22020000000000000000000000000
χ522222222222-2-2-2-2-2-2-2-222-2-222222-200000000000022-2-2200000000-2-2-2-20000-2-222-220022002200000022-2-2002-20-20000000000000000000000000
χ532222222222-2-2-2-2-2-2-2-2-2-222-2-222-22000000000000-2-222-200000000222-2000022-22-2200-2-200-2-200000022-2-200220-20000000000000000000000000
χ542222222222-2-2-2-2-2-2-2-2-2-222-2-222-22000000000000-2-222-200000000222-20000-2-2-22-2200220022000000-2-22200-2-2020000000000000000000000000
χ552222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-20000000000002222200000000-2-222000022-2-22-200-2-20022000000-2-222002-20-20000000000000000000000000
χ562222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-20000000000002222200000000-2-2220000-2-2-2-22-2002200-2-200000022-2-200-22020000000000000000000000000
χ572222-22-2-2-2222-2-222-2-20022222-20-20000000022-2-22-200-2000022-2-22-20000000000002-200000000002-200000000000002-2002-2002-2002-200000000
χ582222-22-2-2-2222-2-222-2-20022222-20-20000000022-2-22-200-2000022-2-22-20000000000002-200000000002-20000000000000-2200-2200-2200-2200000000
χ592222-22-2-2-2222-2-222-2-20022222-20-200000000-2-2222-200-20000-2-2222-2000000000000-220000000000-2200000000000002-2002-200-2200-2200000000
χ602222-22-2-2-2222-2-222-2-20022222-20-200000000-2-2222-200-20000-2-2222-2000000000000-220000000000-220000000000000-2200-22002-2002-200000000
χ612222-22-2-2-2222-2-222-2-200-2-2-2-22-2020000000022-2-2-220020000-2-222-220000000000002-20000000000-2200000000000002i−2i00−2i2i002i−2i00−2i2i00000000
χ622222-22-2-2-2222-2-222-2-200-2-2-2-22-2020000000022-2-2-220020000-2-222-220000000000002-20000000000-220000000000000−2i2i002i−2i00−2i2i002i−2i00000000
χ632222-22-2-2-2222-2-222-2-200-2-2-2-22-20200000000-2-222-22002000022-2-2-22000000000000-2200000000002-200000000000002i−2i00−2i2i00−2i2i002i−2i00000000
χ642222-22-2-2-2222-2-222-2-200-2-2-2-22-20200000000-2-222-22002000022-2-2-22000000000000-2200000000002-20000000000000−2i2i002i−2i002i−2i00−2i2i00000000
χ652222-22-2-2-2222-2-2-2-222002222-220-20000000022-2-2-2200-2000022-2-2-22000000000000-220000000000-22000000000002-2002-2002-2002-20000000000
χ662222-22-2-2-2222-2-2-2-222002222-220-20000000022-2-2-2200-2000022-2-2-22000000000000-220000000000-2200000000000-2200-2200-2200-220000000000
χ672222-22-2-2-2222-2-2-2-222002222-220-200000000-2-222-2200-20000-2-222-220000000000002-200000000002-2000000000002-2002-200-2200-220000000000
χ682222-22-2-2-2222-2-2-2-222002222-220-200000000-2-222-2200-20000-2-222-220000000000002-200000000002-200000000000-2200-22002-2002-20000000000
χ692222-22-2-2-2222-2-2-2-22200-2-2-2-2-22020000000022-2-22-20020000-2-2222-2000000000000-2200000000002-2000000000002i−2i00−2i2i002i−2i00−2i2i0000000000
χ702222-22-2-2-2222-2-2-2-22200-2-2-2-2-22020000000022-2-22-20020000-2-2222-2000000000000-2200000000002-200000000000−2i2i002i−2i00−2i2i002i−2i0000000000
χ712222-22-2-2-2222-2-2-2-22200-2-2-2-2-220200000000-2-2222-2002000022-2-22-20000000000002-20000000000-22000000000002i−2i00−2i2i00−2i2i002i−2i0000000000
χ722222-22-2-2-2222-2-2-2-22200-2-2-2-2-220200000000-2-2222-2002000022-2-22-20000000000002-20000000000-2200000000000−2i2i002i−2i002i−2i00−2i2i0000000000
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χ954-4-440-40004-44000000004-4-440000-22-22-2-2224-400000002-22-24-40000002-200-220000002-20000000000-222-20000000000000000000000000000000
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χ974-4-440-40004-4400000000-444-400002-22-2-2-2224-40000000-22-22-440000002-2002-2000000-220000000000-222-20000000000000000000000000000000
χ984-4-440-40004-4400000000-444-400002-22-2-2-222-440000000-22-224-40000002-200-220000002-200000000002-2-220000000000000000000000000000000
χ994-4-440-40004-4400000000-444-40000-22-2222-2-24-400000002-22-2-44000000-2200-220000002-200000000002-2-220000000000000000000000000000000
χ1004-4-440-40004-4400000000-444-40000-22-2222-2-2-4400000002-22-24-4000000-22002-2000000-220000000000-222-20000000000000000000000000000000
χ10188888-8-88-8-800008-8-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10288888-8-88-8-80000-888-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10388-8-800-8080000000008-80000000000004-44-4000000000000000000000000000000000000000004-40000000000000000000000000000000000000
χ10488-8-800-8080000000008-8000000000000-44-4400000000000000000000000000000000000000000-440000000000000000000000000000000000000
χ10588-8-800-808000000000-880000000000004-44-400000000000000000000000000000000000000000-440000000000000000000000000000000000000
χ10688-8-800-808000000000-88000000000000-44-44000000000000000000000000000000000000000004-40000000000000000000000000000000000000
χ1078-88-8-80080000000000000000000000004-4-44000000000000000000000004-40000000000004-400000000000000000000000000000000000000000
χ1088-88-8-80080000000000000000000000004-4-4400000000000000000000000-44000000000000-4400000000000000000000000000000000000000000
χ1098-88-8-8008000000000000000000000000-444-4000000000000000000000004-4000000000000-4400000000000000000000000000000000000000000
χ1108-88-8-8008000000000000000000000000-444-400000000000000000000000-440000000000004-400000000000000000000000000000000000000000
χ1118-8-8808000-8008-8000000000000004-4-4400000000000004-4-440000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-8808000-8008-800000000000000-444-40000000000000-444-40000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-8808000-800-88000000000000004-4-440000000000000-444-40000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-8808000-800-8800000000000000-444-400000000000004-4-440000000000000000000000000000000000000000000000000000000000000000000
χ1151616-16-1600160-1600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11616-1616-161600-16000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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