Finite Group Databasebeta

← Group #72232943

Character table — Group #72232943

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size1111222222444444444444444444444444444444448888888888888888888888888888881616161616161616161616161616161616161616161616161616161632323232323264646464646464646464646464646464
order12222222222222222222222222222222222222444422222222222222222222444444444422222224444444444444444444444444444444888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-111-1-11111111111111111111-11-11111-1-1-1-1111-1-1-1-1111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiiiii−i−i−i−i−i−i
χ4111111111111111111111111111111111111-1-111-1-11111111111111111111-11-11111-1-1-1-1111-1-1-1-1111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−i−i−iiiiiii
χ51111111111111111111111111111111111-1-111-1-111111111111111111111-11-11-1-1-1-11111-1-1-1111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1i−ii−iiii−i−i−iiii−i−i−i
χ61111111111111111111111111111111111-1-111-1-111111111111111111111-11-11-1-1-1-11111-1-1-1111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1−ii−ii−i−i−iiii−i−i−iiii
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-1111111-1-1-1
χ911111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-111111-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-11-111111-1-11-1-11-1-11-1-1
χ1011111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-111111-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-1-1-1-1-111-111-111-111
χ1111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1111111111-1-1-1-1-1-11-1-1-1-1-111-1-1-1-1111111-1-1-1-1111-11ii−i−ii−i−ii−i−i−iii−iii
χ1211111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1111111111-1-1-1-1-1-11-1-1-1-1-111-1-1-1-1111111-1-1-1-1111-11−i−iii−iii−iiii−i−ii−i−i
χ1311111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-111111-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1111-11i−ii−ii−i−i−iiii−i−i−iii
χ1411111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-111111-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1111-11−ii−ii−iiii−i−i−iiii−i−i
χ1511111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-11-111-1-1-1-1-111111111111111-1-1-11-11-1-111-1-1-111-1111-1-1
χ1611111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-11-111-1-1-1-1-111111111111111-1-1-11-1-111-1-1111-1-11-1-1-111
χ17111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111111-1-1-1-1-1-1-1-111-1-1-1-1111-11-1-1-111111-11-1-11-1-11-1-11-1
χ18111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111111-1-1-1-1-1-1-1-111-1-1-1-1111-11-1-1-11-1-1-1-11-111-111-111-11
χ19111111111111111111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1111-111-1111-111-1-1-1-1-1-1-1-11111-1-1-11-1111-1ii−i−i−ii−i−ii−ii−iii−ii
χ20111111111111111111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1111-111-1111-111-1-1-1-1-1-1-1-11111-1-1-11-1111-1−i−iiii−iii−ii−ii−i−ii−i
χ21111111111111111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1111111111-1-1-11-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-11-1111-1i−ii−i−ii−ii−ii−ii−ii−ii
χ22111111111111111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1111111111-1-1-11-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-11-1111-1−ii−iii−ii−ii−ii−ii−ii−i
χ23111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-11111111-11-1-1-111-1-11-11-11-111-11-11-1
χ24111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-11111111-11-1-1-11-111-11-11-11-1-11-11-11
χ25111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-11-1-111-1-11-1-1-1-11111-1-11111111-1-111-1-11111-1-11-1-11-1-11-1-11
χ26111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-11-1-111-1-11-1-1-1-11111-1-11111111-1-111-1-1-1-1-1-111-111-111-111-1
χ27111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1111111111-11-1-1-1-1-111111-1-1-111-11-1-1-111-1-1111111-1-1-1-1-1-1-111-1-111ii−i−i−i−ii−i−iiii−iii−i
χ28111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1111111111-11-1-1-1-1-111111-1-1-111-11-1-1-111-1-1111111-1-1-1-1-1-1-111-1-111−i−iiiii−iii−i−i−ii−i−ii
χ29111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-11-111111-1-1-1-1-1111-1-1-1-1111-1-111-1-1-1-1-1-11111-1-1-111-1-111i−ii−i−i−iiii−i−i−iiii−i
χ30111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-11-111111-1-1-1-1-1111-1-1-1-1111-1-111-1-1-1-1-1-11111-1-1-111-1-111−ii−iiii−i−i−iiii−i−i−ii
χ31111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-111-1111-111-11111-1-1-1-111-1-1-1-1111-1-111-1-11-1-11-1-1111-111-1-1-11
χ32111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-111-1111-111-11111-1-1-1-111-1-1-1-1111-1-111-1-1-111-111-1-1-11-1-1111-1
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χ3422222222222222-2-2-2-2000000002222222222-2-2-2-2-2-2-2-20000-2-2-2-2000000002-2-2-20000-2-2-2-2222200-2-2-2-22000000002200002-2202000-20000000000000000
χ3522222222222222-2-2-2-20000000022222222-2-2222222-2-20000-2-2-2-200000000-222200002222-2-2-2-200-2222-200000000-2-200002-2202000-20000000000000000
χ3622222222222222-2-2-2-20000000022222222-2-2-2-222-2-2-2-20000-2-2-2-200000000-2-22-20000-2-2-2-2-2-2-22002222200000000220000-22-20-200020000000000000000
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χ3922222222222222-2-2-2-200000000-2-2-2-2-2-2-2-2-2-2222222-2-20000222200000000-22220000-2-2-2-2-222-200-22-2-2-2000000002200002-220-200020000000000000000
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χ1004-4-44-400040000000-444-44-40000-22-22-22-22-44004-4000000002-22-2-22-222-22-20000-4400000002-200000-22000002-2-220000000000000000000000000000000
χ1014-4-44-400040000000-44-44-4400002-22-22-22-24-400-4400000000-22-22-22-222-22-20000-4400000002-200000-2200000-222-20000000000000000000000000000000
χ1024-4-44-400040000000-44-44-4400002-22-22-22-2-44004-400000000-22-22-22-222-22-200004-40000000-22000002-2000002-2-220000000000000000000000000000000
χ1034-4-44-400040000000-44-44-440000-22-22-22-224-400-44000000002-22-22-22-2-22-220000-440000000-22000002-2000002-2-220000000000000000000000000000000
χ1044-4-44-400040000000-44-44-440000-22-22-22-22-44004-4000000002-22-22-22-2-22-2200004-400000002-200000-2200000-222-20000000000000000000000000000000
χ1058888-8-888-8-8000000000000000000000000000000008-8000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1068888-8-888-8-800000000000000000000000000000000-88000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8008-800000000004-4-444-4-444-4-444-4-440000000000000000004-4-44000000000000000000000000000000000000000000000000000000000000000000
χ10888-8-8008-800000000004-4-444-4-44-444-4-444-4000000000000000000-444-4000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8008-80000000000-444-4-444-44-4-444-4-44000000000000000000-444-4000000000000000000000000000000000000000000000000000000000000000000
χ11088-8-8008-80000000000-444-4-444-4-444-4-444-40000000000000000004-4-44000000000000000000000000000000000000000000000000000000000000000000
χ11188-8-800-8800000000004-4-44-444-44-4-44-444-400000000000000000000004-4-4400000000000000000000000000000000000000000000000000000000000000
χ11288-8-800-8800000000004-4-44-444-4-444-44-4-440000000000000000000000-444-400000000000000000000000000000000000000000000000000000000000000
χ11388-8-800-880000000000-444-44-4-444-4-44-444-40000000000000000000000-444-400000000000000000000000000000000000000000000000000000000000000
χ11488-8-800-880000000000-444-44-4-44-444-44-4-4400000000000000000000004-4-4400000000000000000000000000000000000000000000000000000000000000
χ1158-88-808000-88-800000044-4-4-4-4440000000000000000004-4-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-88-808000-88-8000000-4-44444-4-4000000000000000000-444-400000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-88-808000-8-8800000044-4-4-4-444000000000000000000-444-400000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-88-808000-8-88000000-4-44444-4-40000000000000000004-4-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-8-888000-8000008-800000000004-44-4-44-44000000000000004-4-440000000000000000000000000000000000000000000000000000000000000000000000
χ1208-8-888000-8000008-80000000000-44-444-44-400000000000000-444-40000000000000000000000000000000000000000000000000000000000000000000000
χ1218-8-888000-800000-8800000000004-44-4-44-4400000000000000-444-40000000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-888000-800000-880000000000-44-444-44-4000000000000004-4-440000000000000000000000000000000000000000000000000000000000000000000000

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