Finite Group Databasebeta

← Group #72255557

Character table — Group #72255557

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111122222222224444444444444488888888888888161616162222444444444488888888888888161616161616161616161616161632323232333366666666661212121212121212121212121212242424242424242424242424242448484848
order1222222222222222224444444444222444444444444444366666666666666666121212121212121212126661212121212121212121212121212122222222222222222224444444444222444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-1-1-11-1-11111-1-1-1-111111111111111111111111111111-1-1-1-1-1-11-1-11111-1-1-1-111111111111111111111111111111-1-1-1-1-1-11-1-11111-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11-1-1-1-1-1-11111
χ51111111111111111-1-1-1-111111111-11-111-1-1-11-1-1-1-1-111-1-11111111111111111-1-1-1-111111111-11-111-1-1-11-1-1-1-1-111-1-11111111111111111-1-1-1-111111111-11-111-1-1-11-1-1-1-1-111-1-1
χ61111111111111111-1-1-1-111111111-1-11-1-111-1-11-1-1-1-1-1-1111111111111111111-1-1-1-111111111-1-11-1-111-1-11-1-1-1-1-1-1111111111111111111-1-1-1-111111111-1-11-1-111-1-11-1-1-1-1-1-111
χ71111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-11-11111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-11-11111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-11-11111-1-111
χ81111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11111111-1-1
χ911111-1-1-1-111111-1-111111111-1-1-1-1-111-1-1-1-1-11111-1-11-11-111111-1-1-1-111111-1-111111111-1-1-1-1-111-1-1-1-1-11111-1-11-11-111111-1-1-1-111111-1-111111111-1-1-1-1-111-1-1-1-1-11111-1-11-11-1
χ1011111-1-1-1-111111-1-111111111-1-1-1-1-1-1-11111-1-1-111-1-1-11-1111111-1-1-1-111111-1-111111111-1-1-1-1-1-1-11111-1-1-111-1-1-11-1111111-1-1-1-111111-1-111111111-1-1-1-1-1-1-11111-1-1-111-1-1-11-11
χ1111111-1-1-1-111111-1-11111-1-1-1-11111-111-1-1-1-1-111-1-111-11-1111111-1-1-1-111111-1-11111-1-1-1-11111-111-1-1-1-1-111-1-111-11-1111111-1-1-1-111111-1-11111-1-1-1-11111-111-1-1-1-1-111-1-111-11-11
χ1211111-1-1-1-111111-1-11111-1-1-1-11111-1-1-11111-1-1-1-1-1111-11-111111-1-1-1-111111-1-11111-1-1-1-11111-1-1-11111-1-1-1-1-1111-11-111111-1-1-1-111111-1-11111-1-1-1-11111-1-1-11111-1-1-1-1-1111-11-1
χ1311111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-111-1-1-11111-1-1-1111-1-1111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-111-1-1-11111-1-1-1111-1-1111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-111-1-1-11111-1-1-1111-1-11
χ1411111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-11-1111-1-11-11-1-111-111-111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-11-1111-1-11-11-1-111-111-111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-11-1111-1-11-11-1-111-111-1
χ1511111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-11111-111-1-1-111-111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-11111-111-1-1-111-111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-11111-111-1-1-111-1
χ1611111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111-1111-1-11-1111-1-11-1-1111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111-1111-1-11-1111-1-11-1-1111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111-1111-1-11-1111-1-11-1-11
χ17222222222-2-2-2-22-2-222-2-2000000002000000-20000000000222222222-2-2-2-22-2-222-2-2000000002000000-20000000000222222222-2-2-2-22-2-222-2-2000000002000000-20000000000
χ18222222222-2-2-2-22-2-2-2-22200000000-200000020000000000222222222-2-2-2-22-2-2-2-22200000000-200000020000000000222222222-2-2-2-22-2-2-2-22200000000-200000020000000000
χ1922222-2-2-2-2-2-2-2-222222-2-200000000-20000002000000000022222-2-2-2-2-2-2-2-222222-2-200000000-20000002000000000022222-2-2-2-2-2-2-2-222222-2-200000000-200000020000000000
χ2022222-2-2-2-2-2-2-2-2222-2-222000000002000000-2000000000022222-2-2-2-2-2-2-2-2222-2-222000000002000000-2000000000022222-2-2-2-2-2-2-2-2222-2-222000000002000000-20000000000
χ212222-222-2-222-2-2-22-2000000000000002002-200-2000000002222-222-2-222-2-2-22-2000000000000002002-200-2000000002222-222-2-222-2-2-22-2000000000000002002-200-200000000
χ222222-222-2-222-2-2-22-200000000000000-200-22002000000002222-222-2-222-2-2-22-200000000000000-200-22002000000002222-222-2-222-2-2-22-200000000000000-200-2200200000000
χ232222-222-2-2-2-222-2-220000000000000202-2000-20000000002222-222-2-2-2-222-2-220000000000000202-2000-20000000002222-222-2-2-2-222-2-220000000000000202-2000-2000000000
χ242222-222-2-2-2-222-2-220000000000000-20-2200020000000002222-222-2-2-2-222-2-220000000000000-20-2200020000000002222-222-2-2-2-222-2-220000000000000-20-220002000000000
χ252222-2-2-22222-2-2-2-2200000000000000200-2200-2000000002222-2-2-22222-2-2-2-2200000000000000200-2200-2000000002222-2-2-22222-2-2-2-2200000000000000200-2200-200000000
χ262222-2-2-22222-2-2-2-2200000000000000-2002-2002000000002222-2-2-22222-2-2-2-2200000000000000-2002-2002000000002222-2-2-22222-2-2-2-2200000000000000-2002-200200000000
χ272222-2-2-222-2-222-22-2000000000000020-22000-20000000002222-2-2-222-2-222-22-2000000000000020-22000-20000000002222-2-2-222-2-222-22-2000000000000020-22000-2000000000
χ282222-2-2-222-2-222-22-20000000000000-202-200020000000002222-2-2-222-2-222-22-20000000000000-202-200020000000002222-2-2-222-2-222-22-20000000000000-202-20002000000000
χ292-2-22-200002-22-22002-22-2000022-2-20000000000002-200002-2-22-200002-22-22002-22-2000022-2-20000000000002-200002-2-22-200002-22-22002-22-2000022-2-20000000000002-20000
χ302-2-22-200002-22-22002-22-20000-2-222000000000000-2200002-2-22-200002-22-22002-22-20000-2-222000000000000-2200002-2-22-200002-22-22002-22-20000-2-222000000000000-220000
χ312-2-22-200002-22-2200-22-22000022-2-2000000000000-2200002-2-22-200002-22-2200-22-22000022-2-2000000000000-2200002-2-22-200002-22-2200-22-22000022-2-2000000000000-220000
χ322-2-22-200002-22-2200-22-220000-2-2220000000000002-200002-2-22-200002-22-2200-22-220000-2-2220000000000002-200002-2-22-200002-22-2200-22-220000-2-2220000000000002-20000
χ332-2-22-20000-22-222002-2-2222-2-2000000000000002-20000002-2-22-20000-22-222002-2-2222-2-2000000000000002-20000002-2-22-20000-22-222002-2-2222-2-2000000000000002-2000000
χ342-2-22-20000-22-222002-2-22-2-22200000000000000-220000002-2-22-20000-22-222002-2-22-2-22200000000000000-220000002-2-22-20000-22-222002-2-22-2-22200000000000000-22000000
χ352-2-22-20000-22-22200-222-222-2-200000000000000-220000002-2-22-20000-22-22200-222-222-2-200000000000000-220000002-2-22-20000-22-22200-222-222-2-200000000000000-22000000
χ362-2-22-20000-22-22200-222-2-2-222000000000000002-20000002-2-22-20000-22-22200-222-2-2-222000000000000002-20000002-2-22-20000-22-22200-222-2-2-222000000000000002-2000000
χ3744-4-40004-4000000000002i−2i2i−2i2i−2i2i−2i00000000000000000044-4-40004-4000000000002i−2i2i−2i2i−2i2i−2i00000000000000000044-4-40004-4000000000002i−2i2i−2i2i−2i2i−2i000000000000000000
χ3844-4-40004-400000000000−2i2i−2i2i−2i2i−2i2i00000000000000000044-4-40004-400000000000−2i2i−2i2i−2i2i−2i2i00000000000000000044-4-40004-400000000000−2i2i−2i2i−2i2i−2i2i000000000000000000
χ3944-4-4000-44000000000002i−2i2i−2i−2i2i−2i2i00000000000000000044-4-4000-44000000000002i−2i2i−2i−2i2i−2i2i00000000000000000044-4-4000-44000000000002i−2i2i−2i−2i2i−2i2i000000000000000000
χ4044-4-4000-4400000000000−2i2i−2i2i2i−2i2i−2i00000000000000000044-4-4000-4400000000000−2i2i−2i2i2i−2i2i−2i00000000000000000044-4-4000-4400000000000−2i2i−2i2i2i−2i2i−2i000000000000000000
χ414-44-404-400000000000002i−2i−2i2i2i−2i−2i2i0000000000000000004-44-404-400000000000002i−2i−2i2i2i−2i−2i2i0000000000000000004-44-404-400000000000002i−2i−2i2i2i−2i−2i2i000000000000000000
χ424-44-404-40000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000004-44-404-40000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000004-44-404-40000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000
χ434-44-40-4400000000000002i−2i−2i2i−2i2i2i−2i0000000000000000004-44-40-4400000000000002i−2i−2i2i−2i2i2i−2i0000000000000000004-44-40-4400000000000002i−2i−2i2i−2i2i2i−2i000000000000000000
χ444-44-40-440000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000004-44-40-440000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000004-44-40-440000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000
χ454-4-44400004-4-44-4000000000000000000000000000000004-4-44400004-4-44-4000000000000000000000000000000004-4-44400004-4-44-400000000000000000000000000000000
χ464-4-4440000-444-4-4000000000000000000000000000000004-4-4440000-444-4-4000000000000000000000000000000004-4-4440000-444-4-400000000000000000000000000000000
χ4711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4811111111111111111111111111111-1-1-1-1-1-11-1-11111-1-1-1-111111111111111111111111111111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1-1-11111
χ4911111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111
χ5011111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1111111-1111111-1-1-1-1
χ511111111111111111-1-1-1-111111111-11-111-1-1-11-1-1-1-1-111-1-11111111111111111-1-1-1-111111111-11-111-1-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-1111-111111-1-111
χ521111111111111111-1-1-1-111111111-1-11-1-111-1-11-1-1-1-1-1-1111111111111111111-1-1-1-111111111-1-11-1-111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-111-1111111-1-1
χ531111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-11-11111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-11-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-11-1-1111-11-1-1-1-111-1-1
χ541111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-111-1-111-1-1-1-1-1-1-111
χ5511111-1-1-1-111111-1-111111111-1-1-1-1-111-1-1-1-1-11111-1-11-11-111111-1-1-1-111111-1-111111111-1-1-1-1-111-1-1-1-1-11111-1-11-11-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-111111-1-1-1-111-11-11
χ5611111-1-1-1-111111-1-111111111-1-1-1-1-1-1-11111-1-1-111-1-1-11-1111111-1-1-1-111111-1-111111111-1-1-1-1-1-1-11111-1-1-111-1-1-11-11-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1111-1-1111-11-1
χ5711111-1-1-1-111111-1-11111-1-1-1-11111-111-1-1-1-1-111-1-111-11-1111111-1-1-1-111111-1-11111-1-1-1-11111-111-1-1-1-1-111-1-111-11-11-1-1-1-1-11111-1-1-1-1-111-1-1-1-11111-1-1-1-11-1-111111-1-111-1-11-11-1
χ5811111-1-1-1-111111-1-11111-1-1-1-11111-1-1-11111-1-1-1-1-1111-11-111111-1-1-1-111111-1-11111-1-1-1-11111-1-1-11111-1-1-1-1-1111-11-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-11111-1-1-1-1111-1-1-1-111111-1-1-11-11
χ5911111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-111-1-1-11111-1-1-1111-1-1111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-111-1-1-11111-1-1-1111-1-11-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-11111-1-1111-1-1-1-1111-1-1-111-1
χ6011111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-11-1111-1-11-11-1-111-111-111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-11-1111-1-11-11-1-111-111-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-11111-11-1-1-111-11-111-1-11-1-11
χ6111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-11111-111-1-1-111-111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-11111-111-1-1-111-1-1-1-1-1-11111-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-11-1-1111-1-11
χ6211111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111-1111-1-11-1111-1-11-1-1111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111-1111-1-11-1111-1-11-1-11-1-1-1-1-11111-1-1-1-1-11111111111-1-1-1-1-11-1-1-111-11-1-1-111-111-1
χ63222222222-2-2-2-22-2-222-2-2000000002000000-20000000000222222222-2-2-2-22-2-222-2-2000000002000000-20000000000-2-2-2-2-2-2-2-2-22222-222-2-22200000000-200000020000000000
χ64222222222-2-2-2-22-2-2-2-22200000000-200000020000000000222222222-2-2-2-22-2-2-2-22200000000-200000020000000000-2-2-2-2-2-2-2-2-22222-22222-2-2000000002000000-20000000000
χ6522222-2-2-2-2-2-2-2-222222-2-200000000-20000002000000000022222-2-2-2-2-2-2-2-222222-2-200000000-200000020000000000-2-2-2-2-222222222-2-2-2-2-222000000002000000-20000000000
χ6622222-2-2-2-2-2-2-2-2222-2-222000000002000000-2000000000022222-2-2-2-2-2-2-2-2222-2-222000000002000000-20000000000-2-2-2-2-222222222-2-2-222-2-200000000-200000020000000000
χ672222-222-2-222-2-2-22-2000000000000002002-200-2000000002222-222-2-222-2-2-22-2000000000000002002-200-200000000-2-2-2-22-2-222-2-2222-2200000000000000-200-2200200000000
χ682222-222-2-222-2-2-22-200000000000000-200-22002000000002222-222-2-222-2-2-22-200000000000000-200-2200200000000-2-2-2-22-2-222-2-2222-22000000000000002002-200-200000000
χ692222-222-2-2-2-222-2-220000000000000202-2000-20000000002222-222-2-2-2-222-2-220000000000000202-2000-2000000000-2-2-2-22-2-22222-2-222-20000000000000-20-220002000000000
χ702222-222-2-2-2-222-2-220000000000000-20-2200020000000002222-222-2-2-2-222-2-220000000000000-20-220002000000000-2-2-2-22-2-22222-2-222-20000000000000202-2000-2000000000
χ712222-2-2-22222-2-2-2-2200000000000000200-2200-2000000002222-2-2-22222-2-2-2-2200000000000000200-2200-200000000-2-2-2-2222-2-2-2-22222-200000000000000-2002-200200000000
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Here i is the imaginary unit (i² = −1).