Finite Group Databasebeta

← Group #72313956

Character table — Group #72313956

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size111122222222444444444444444888888888888888888888888888816161616161616161616161616161616161616161616161616161616161616161632323232323232323232323232323232323232323232323232323232323264646464
order12222222224422222222444444422222222444444444444444444442222222222444444444444444444488882444444488888888888888888888884444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1111111111111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111111111111-1-1-1-111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ71111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-11111-1-111
χ81111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-11111111111-1-1-1-111-1-1
χ9111111111111111111111111111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-11111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ10111111111111111111111111111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1
χ11111111111111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1111111-1-1-1-1111111-1-1
χ12111111111111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111111111-1-1-1-1-1-111
χ13111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1111111-1-11111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ14111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111
χ15111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111111-1-11111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-111
χ16111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1
χ171111-1-1-1-1111111-1-1-1-111-1-1-1-111111-1-111-1-1-1-11-111-1-111-1-111-1-111111111-1-111-1-11-11-11-111-1-1-1-111-1-11-1-111-1-1-111-11-11-11-11-11-11-11-111-1-111-1-111-1-11-11-1
χ181111-1-1-1-1111111-1-1-1-111-1-1-1-111111-1-111-1-1-1-11-111-1-111-1-111-1-111111111-1-1-1-1111-11-11-1-1-111-1-111-1-11-1-111-1-1-11-111-1-11-11-111-1-11-1111-1-1-1-111-1-111-11-11
χ191111-1-1-1-1111111-1-1-1-111-1-1-1-111111-1-111-1-1-1-11-111-1-111-1-1-1-111-1-1111111-1-111-1-11-11-1-11-1-111-1-111-1-1-111-1-1111-1-11-111-11-1-11-111-1-11-1-11111-1-1-1-1111-1-11
χ201111-1-1-1-1111111-1-1-1-111-1-1-1-111111-1-111-1-1-1-11-111-1-111-1-1-1-111-1-1111111-1-1-1-1111-11-1-1111-1-1-1-111-1-1-111-1-1111-11-1-11-11-111-1-11-111-1-1-111-1-11111-1-1-111-1
χ211111-1-1-1-1111111-1-1-1-111-1-1-1-111111-1-1-1-111-1-11-111-1-1-1-11111-1-1111111-1-11111-1-1-11-111-111-1-1-1-1-1-1111-1-1-1-111-111-11-11-11-11-1-111-11-1-1-111-1-111-1-111-11-11
χ221111-1-1-1-1111111-1-1-1-111-1-1-1-111111-1-1-1-111-1-11-111-1-1-1-11111-1-1111111-1-111-1-111-11-111-1-1-111-1-1-1-1111-1-1-1-111-11-111-1-11-11-11-11-11-11-1-11111-1-111-1-11-11-1
χ231111-1-1-1-1111111-1-1-1-111-1-1-1-111111-1-1-1-111-1-11-111-1-1-1-111-1-111-1-11111-1-11111-1-1-11-11-11-1-111-1-1-1-111-11111-1-11-1-11-111-11-1-111-11-1-1111-1-1-1-11111-1-1-111-1
χ241111-1-1-1-1111111-1-1-1-111-1-1-1-111111-1-1-1-111-1-11-111-1-1-1-111-1-111-1-11111-1-111-1-111-11-11-1111-1-1-1-1-1-111-11111-1-11-11-1-11-11-111-11-1-111-111-1-111-1-1-1-1111-1-11
χ251111-1-1-1-1111111-1-1-1-111-1-1-1-1111-1-11111-1-1-1-11-1-1-11111-1-111-1-11111-1-1-1-11111-1-11-11-11-111-1-111-1-1111-1-111-1-11-11-1-111-1-11-111-1-11-11-1-111-1-111-1-1111-11-1
χ261111-1-1-1-1111111-1-1-1-111-1-1-1-1111-1-11111-1-1-1-11-1-1-11111-1-111-1-11111-1-1-1-111-1-1111-11-11-1-1-11111-1-1111-1-111-1-11-1-11-11-111-11-11-11-11-1-1-11111-1-111-1-1-11-11
χ271111-1-1-1-1111111-1-1-1-111-1-1-1-1111-1-11111-1-1-1-11-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-11-11-1-11-1-11111-1-111-111-1-111-11-111-11-1-111-1-11-111-111-1-1-1-11111-1-11-1-11
χ281111-1-1-1-1111111-1-1-1-111-1-1-1-1111-1-11111-1-1-1-11-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-1111-11-1-1111-1-111-1-111-111-1-111-111-11-1-111-1-11-111-1-1111-1-111-1-1-1-111-111-1
χ291111-1-1-1-1111111-1-1-1-111-1-1-1-1111-1-111-1-111-1-11-1-1-111-1-11111-1-11111-1-111-1-111-1-1-11-111-111-1-11111-1-11-1-1-1-1111-11-1-111-1-11-11-11-11-1111-1-111-1-111-1-1-11-11
χ301111-1-1-1-1111111-1-1-1-111-1-1-1-1111-1-111-1-111-1-11-1-1-111-1-11111-1-11111-1-111-1-1-1-111-11-111-1-1-1111111-1-11-1-1-1-1111-1-11-11-111-11-1-111-11-111-1-1-1-111-1-1111-11-1
χ311111-1-1-1-1111111-1-1-1-111-1-1-1-1111-1-111-1-111-1-11-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1-11-11-11-1-1111111-1-1-11111-1-1-11-111-11-1-111-11-1-111-1-1-11111-1-1-1-111-111-1
χ321111-1-1-1-1111111-1-1-1-111-1-1-1-1111-1-111-1-111-1-11-1-1-111-1-111-1-111-1-111-1-111-1-1-1-111-11-11-1111-1-11111-1-1-11111-1-1-111-11-1-111-1-111-11-1-11-1-111-1-11111-1-11-1-11
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χ934-4-444-44-4-4400444-44-4-4-4004-440-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000002i2−2i22i2−2i20000
χ944-4-444-44-4-4400444-44-4-4-4004-440-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i22i2−2i22i20000
χ954-4-444-44-4-44004-44-4-44-4400-44-40400004-44-4000000004-44-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ964-4-444-44-4-44004-44-4-44-4400-44-4040000-44-4400000000-44-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ974-4-444-44-4-4400-44-444-44-400-44-4040000000000000000000000000000000000000000000000000000000004-44-40000000000000000000000000000000000
χ984-4-444-44-4-4400-44-444-44-400-44-404000000000000000000000000000000000000000000000000000000000-44-440000000000000000000000000000000000
χ994-4-444-44-4-4400-4-4-44-4444004-440-40000000000000000000000000000000000000000000000000000000000000000000000000000000000022−2222−2200000000
χ1004-4-444-44-4-4400-4-4-44-4444004-440-400000000000000000000000000000000000000000000000000000000000000000000000000000000000−2222−222200000000
χ1014-4-44-44-44-440044-44-44-4-400-4440-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000002i2−2i2−2i22i20000
χ1024-4-44-44-44-440044-44-44-4-400-4440-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i22i22i2−2i20000
χ1034-4-44-44-44-44004-4-444-4-44004-4-40400004-4-44000000004-4-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ1044-4-44-44-44-44004-4-444-4-44004-4-4040000-444-400000000-444-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ1054-4-44-44-44-4400-444-4-444-4004-4-4040000000000000000000000000000000000000000000000000000000004-4-440000000000000000000000000000000000
χ1064-4-44-44-44-4400-444-4-444-4004-4-404000000000000000000000000000000000000000000000000000000000-444-40000000000000000000000000000000000
χ1074-4-44-44-44-4400-4-44-44-44400-4440-40000000000000000000000000000000000000000000000000000000000000000000000000000000000022−22−222200000000
χ1084-4-44-44-44-4400-4-44-44-44400-4440-400000000000000000000000000000000000000000000000000000000000000000000000000000000000−222222−2200000000
χ10988-8-80000008-8000000000000000000000000000000000004i−4i004i−4i00000000004-4000000004i−4i00000000000000000000000000000000000000000000000
χ11088-8-80000008-8000000000000000000000000000000000004i−4i004i−4i0000000000-4400000000−4i4i00000000000000000000000000000000000000000000000
χ11188-8-80000008-800000000000000000000000000000000000−4i4i00−4i4i00000000004-400000000−4i4i00000000000000000000000000000000000000000000000
χ11288-8-80000008-800000000000000000000000000000000000−4i4i00−4i4i0000000000-44000000004i−4i00000000000000000000000000000000000000000000000
χ11388-8-8000000-88000000000000000000000000000000000004i−4i00−4i4i000000004-4000000004i−4i0000000000000000000000000000000000000000000000000
χ11488-8-8000000-88000000000000000000000000000000000004i−4i00−4i4i00000000-4400000000−4i4i0000000000000000000000000000000000000000000000000
χ11588-8-8000000-8800000000000000000000000000000000000−4i4i004i−4i000000004-400000000−4i4i0000000000000000000000000000000000000000000000000
χ11688-8-8000000-8800000000000000000000000000000000000−4i4i004i−4i00000000-44000000004i−4i0000000000000000000000000000000000000000000000000
χ1178-8-888-8-888-80000000000000000000004-44-400000000-44-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-8-888-8-888-8000000000000000000000-44-44000000004-44-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-8-88-888-88-80000000000000000000004-4-4400000000-444-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-8-88-888-88-8000000000000000000000-444-4000000004-4-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ12116-1616-160000000000000000000000000000000000000000000008-800000000000000000000000000000000000000000000000000000000000000000000000
χ12216-1616-16000000000000000000000000000000000000000000000-8800000000000000000000000000000000000000000000000000000000000000000000000

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