Finite Group Databasebeta

← Group #72303469

Character table — Group #72303469

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118
size11111111222222222222222244444444444444444444448888888888888888888888888888888816161616161616161616161616161616161616161616161616161616161616161616161616161616
order1222444422444444444444442222224444444444444444222222444444444444444444888888882222224444444444444488888888888888888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-111111-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1-1111-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111111-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ911111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11-1-111-1-1-11-1-111-11111-1-11111-1-1-1-111-1-1-1-11111-1-1
χ1011111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-11111-1-11111-1-1-1-111
χ1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-11111-1-1-1-11111-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ1211111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-111-1-1111-111-1-11-1-1-1-1111111-1-1-1-1-1-111111111-1-1
χ1311111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-11-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111
χ1411111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-111-1-1-11-1-111-1-1-1-1-111-1-1-1-11111-1-111111111-1-1
χ1511111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-111-1-1111-111-1-111111-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ1611111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-11111-1-1-1-11111-11111-1-11111-1-1-1-1-1-11111-1-1-1-111
χ171111111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1-1-111-1-11111-1-111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-11-11-11-1-1-11-11-1111-1-11111-1-111-1-1-1-111-1-111-1-111
χ181111111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1-1-111-1-11111-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-11-1-11-111-11-1-11-111-1-111-1-111-1-11111-1-111-1-111-1-1
χ191111111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-111-1-1111111111111111-111-11-1-11-111-11-1-111-1-1-1-111-1-111-1-111-1-1-1-111-1-1
χ201111111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11-11-11-1111-11-11-1-1-111-1-111-1-111-1-111-1-11111-1-111
χ211111111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-111111111-1-111-1-1111111111111-11-1-11-111-11-1-11-1-1-111-1-111-1-111-1-1-1-111-1-1-1-111-1-1
χ221111111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-1-11-11-11-1-1-11-11-11-1-111-1-1-1-111-1-11111-1-11111-1-111
χ231111111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-11-11-1111-11-11-111-1-111-1-111-1-111-1-111-1-111-1-111
χ241111111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-111-11-1-11-111-1111-1-11111-1-111-1-111-1-111-1-111-1-1
χ251111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1111111111111-1-111-1-111-1-111-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1
χ261111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-1-1-11-11111-1-1-1-1-1-11111-1-11111-1-1-1-11111
χ271111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-11-1-11111-11-1-1-1-11111-1-11111-1-1-1-1-1-111-1-11111
χ281111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1111111-1-1-1-1111111-1-111-1-1-1-1
χ291111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-11-111-1-1-1-11-111-1-1111111-1-1-1-111-1-1-1-111-1-11111
χ301111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-11111-1-11111-1-11111-1-111-1-1-1-1
χ311111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1
χ321111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-11-1-11111-11-1-111-1-1-1-111-1-1-1-1111111-1-1-1-11111
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χ8944-4-44i−4i4i−4i004-44i−4i4-44i−4i4-44i−4i0000000000000000000000002-22-22-22-22i−2i00002i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000
χ9044-4-44i−4i4i−4i004-44i−4i4-44i−4i4-44i−4i000000000000000000000000-22-22-22-22−2i2i0000−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000
χ9144-4-44i−4i4i−4i004-44i−4i-44−4i4i-44−4i4i0000000000000000000000002-22-2-22-22−2i2i00002i−2i2i−2i−2i2i0000000000000000000000000000000000000000000000000000
χ9244-4-44i−4i4i−4i004-44i−4i-44−4i4i-44−4i4i000000000000000000000000-22-222-22-22i−2i0000−2i2i−2i2i2i−2i0000000000000000000000000000000000000000000000000000
χ9344-4-44i−4i4i−4i00-44−4i4i4-44i−4i-44−4i4i0000000000000000000000002-2-222-2-22−2i2i00002i−2i−2i2i2i−2i0000000000000000000000000000000000000000000000000000
χ9444-4-44i−4i4i−4i00-44−4i4i4-44i−4i-44−4i4i000000000000000000000000-222-2-222-22i−2i0000−2i2i2i−2i−2i2i0000000000000000000000000000000000000000000000000000
χ9544-4-44i−4i4i−4i00-44−4i4i-44−4i4i4-44i−4i0000000000000000000000002-2-22-222-22i−2i00002i−2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000
χ9644-4-44i−4i4i−4i00-44−4i4i-44−4i4i4-44i−4i000000000000000000000000-222-22-2-22−2i2i0000−2i2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000
χ9744-4-4−4i4i−4i4i004-4−4i4i4-4−4i4i4-4−4i4i0000000000000000000000002-22-22-22-2−2i2i0000−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000
χ9844-4-4−4i4i−4i4i004-4−4i4i4-4−4i4i4-4−4i4i000000000000000000000000-22-22-22-222i−2i00002i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000
χ9944-4-4−4i4i−4i4i004-4−4i4i-444i−4i-444i−4i0000000000000000000000002-22-2-22-222i−2i0000−2i2i−2i2i2i−2i0000000000000000000000000000000000000000000000000000
χ10044-4-4−4i4i−4i4i004-4−4i4i-444i−4i-444i−4i000000000000000000000000-22-222-22-2−2i2i00002i−2i2i−2i−2i2i0000000000000000000000000000000000000000000000000000
χ10144-4-4−4i4i−4i4i00-444i−4i4-4−4i4i-444i−4i0000000000000000000000002-2-222-2-222i−2i0000−2i2i2i−2i−2i2i0000000000000000000000000000000000000000000000000000
χ10244-4-4−4i4i−4i4i00-444i−4i4-4−4i4i-444i−4i000000000000000000000000-222-2-222-2−2i2i00002i−2i−2i2i2i−2i0000000000000000000000000000000000000000000000000000
χ10344-4-4−4i4i−4i4i00-444i−4i-444i−4i4-4−4i4i0000000000000000000000002-2-22-222-2−2i2i0000−2i2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000
χ10444-4-4−4i4i−4i4i00-444i−4i-444i−4i4-4−4i4i000000000000000000000000-222-22-2-222i−2i00002i−2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000
χ1054-4-44-4-4444-40000000000004-4000000000000000000000000000000000000000000004-422−2222−2222−2222−220000000000000000000000000000000000000000
χ1064-4-44-4-4444-40000000000004-4000000000000000000000000000000000000000000004-4−2222−2222−2222−22220000000000000000000000000000000000000000
χ1074-4-44-4-4444-40000000000004-400000000000000000000000000000000000000000000-4422−2222−22−2222−22220000000000000000000000000000000000000000
χ1084-4-44-4-4444-40000000000004-400000000000000000000000000000000000000000000-44−2222−222222−2222−220000000000000000000000000000000000000000
χ1094-4-44-4-444-44000000000000-440000000000000000000000000000000000000000004-40022−22−222222−22−22220000000000000000000000000000000000000000
χ1104-4-44-4-444-44000000000000-440000000000000000000000000000000000000000004-400−222222−22−222222−220000000000000000000000000000000000000000
χ1114-4-44-4-444-44000000000000-44000000000000000000000000000000000000000000-440022−22−2222−222222−220000000000000000000000000000000000000000
χ1124-4-44-4-444-44000000000000-44000000000000000000000000000000000000000000-4400−222222−2222−22−22220000000000000000000000000000000000000000
χ1138-88-88i−8i−8i8i0000000000000000000000000000000000000000000000004i−4i4-40000000000000000000000000000000000000000000000000000000000
χ1148-88-88i−8i−8i8i000000000000000000000000000000000000000000000000−4i4i-440000000000000000000000000000000000000000000000000000000000
χ1158-88-8−8i8i8i−8i0000000000000000000000000000000000000000000000004i−4i-440000000000000000000000000000000000000000000000000000000000
χ1168-88-8−8i8i8i−8i000000000000000000000000000000000000000000000000−4i4i4-40000000000000000000000000000000000000000000000000000000000
χ1178-8-8888-8-88-8000000000000-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-8-8888-8-8-880000000000008-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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