Finite Group Databasebeta

← Group #13172663

Character table — Group #13172663

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size11222244666666181122224466666618224444881212121212123622444488121212121212362244448812121212121236224444881212121212123622444488121212121212366612121212242436363636363610866121212122424363636363636108
order12336636226666422666666226666422666666226666436336636666666126666666666666612666666666666661266666666666666122266666622666644412121212121244121212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1
χ311111111-11-1-111-111111111-11-1-111-111111111-11-1-111-111111111-11-1-111-111111111-11-1-111-111111111-11-1-111-111111111-11-1-111-111111111-11-1-111-111111111-11-1-111-1
χ411111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-11
χ5222-12-1-1-10200-1-10222-12-1-1-10200-1-10222-12-1-1-10200-1-10222-12-1-1-10200-1-10222-12-1-1-10200-1-10222-12-1-1-10200-1-10222-12-1-1-10200-1-10222-12-1-1-10200-1-10222-12-1-1-10200-1-10
χ6222-12-1-1-10-200110222-12-1-1-10-200110222-12-1-1-10-200110222-12-1-1-10-200110222-12-1-1-10-200110222-12-1-1-10-200110222-12-1-1-10-200110222-12-1-1-10-200110222-12-1-1-10-200110
χ722-12-12-1-120-1-100022-12-12-1-120-1-100022-12-12-1-120-1-100022-12-12-1-120-1-100022-12-12-1-120-1-100022-12-12-1-120-1-100022-12-12-1-120-1-100022-12-12-1-120-1-100022-12-12-1-120-1-1000
χ822-12-12-1-1-201100022-12-12-1-1-201100022-12-12-1-1-201100022-12-12-1-1-201100022-12-12-1-1-201100022-12-12-1-1-201100022-12-12-1-1-201100022-12-12-1-1-201100022-12-12-1-1-2011000
χ92-222-2-22-200000002-222-2-22-200000002-222-2-22-200000002-222-2-22-200000002-222-2-22-200000002-222-2-22-200000002-222-2-22-200000002-222-2-22-200000002-222-2-22-20000000
χ102-22-1-21-110000i3−i302-22-1-21-110000i3−i302-22-1-21-110000i3−i302-22-1-21-110000i3−i302-22-1-21-110000i3−i302-22-1-21-110000i3−i302-22-1-21-110000i3−i302-22-1-21-110000i3−i302-22-1-21-110000i3−i30
χ112-22-1-21-110000−i3i302-22-1-21-110000−i3i302-22-1-21-110000−i3i302-22-1-21-110000−i3i302-22-1-21-110000−i3i302-22-1-21-110000−i3i302-22-1-21-110000−i3i302-22-1-21-110000−i3i302-22-1-21-110000−i3i30
χ122-2-121-2-1100i3−i30002-2-121-2-1100i3−i30002-2-121-2-1100i3−i30002-2-121-2-1100i3−i30002-2-121-2-1100i3−i30002-2-121-2-1100i3−i30002-2-121-2-1100i3−i30002-2-121-2-1100i3−i30002-2-121-2-1100i3−i3000
χ132-2-121-2-1100−i3i30002-2-121-2-1100−i3i30002-2-121-2-1100−i3i30002-2-121-2-1100−i3i30002-2-121-2-1100−i3i30002-2-121-2-1100−i3i30002-2-121-2-1100−i3i30002-2-121-2-1100−i3i30002-2-121-2-1100−i3i3000
χ1444-2-2-2-211000000044-2-2-2-211000000044-2-2-2-211000000044-2-2-2-211000000044-2-2-2-211000000044-2-2-2-211000000044-2-2-2-211000000044-2-2-2-211000000044-2-2-2-2110000000
χ154-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-10000000
χ16111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ17111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-11-1-1111
χ1811111111-11-1-111-111111111-11-1-111-111111111-11-1-111-111111111-11-1-111-111111111-11-1-111-111111111-11-1-111-111111111-11-1-111-1-1-1-1-1-1-1-1-11-111-1-11-1-1-1-1-1-1-1-11-111-1-11
χ1911111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111-1
χ20222-12-1-1-10200-1-10222-12-1-1-10200-1-10222-12-1-1-10200-1-10222-12-1-1-10200-1-10222-12-1-1-10200-1-10222-12-1-1-10200-1-10222-12-1-1-10200-1-10-2-2-21-21110-200110-2-2-21-21110-200110
χ21222-12-1-1-10-200110222-12-1-1-10-200110222-12-1-1-10-200110222-12-1-1-10-200110222-12-1-1-10-200110222-12-1-1-10-200110222-12-1-1-10-200110-2-2-21-21110200-1-10-2-2-21-21110200-1-10
χ2222-12-12-1-120-1-100022-12-12-1-120-1-100022-12-12-1-120-1-100022-12-12-1-120-1-100022-12-12-1-120-1-100022-12-12-1-120-1-100022-12-12-1-120-1-1000-2-21-21-211-2011000-2-21-21-211-2011000
χ2322-12-12-1-1-201100022-12-12-1-1-201100022-12-12-1-1-201100022-12-12-1-1-201100022-12-12-1-1-201100022-12-12-1-1-201100022-12-12-1-1-2011000-2-21-21-21120-1-1000-2-21-21-21120-1-1000
χ242-222-2-22-200000002-222-2-22-200000002-222-2-22-200000002-222-2-22-200000002-222-2-22-200000002-222-2-22-200000002-222-2-22-20000000-22-2-222-220000000-22-2-222-220000000
χ252-22-1-21-110000i3−i302-22-1-21-110000i3−i302-22-1-21-110000i3−i302-22-1-21-110000i3−i302-22-1-21-110000i3−i302-22-1-21-110000i3−i302-22-1-21-110000i3−i30-22-212-11-10000−i3i30-22-212-11-10000−i3i30
χ262-22-1-21-110000−i3i302-22-1-21-110000−i3i302-22-1-21-110000−i3i302-22-1-21-110000−i3i302-22-1-21-110000−i3i302-22-1-21-110000−i3i302-22-1-21-110000−i3i30-22-212-11-10000i3−i30-22-212-11-10000i3−i30
χ272-2-121-2-1100i3−i30002-2-121-2-1100i3−i30002-2-121-2-1100i3−i30002-2-121-2-1100i3−i30002-2-121-2-1100i3−i30002-2-121-2-1100i3−i30002-2-121-2-1100i3−i3000-221-2-121-100−i3i3000-221-2-121-100−i3i3000
χ282-2-121-2-1100−i3i30002-2-121-2-1100−i3i30002-2-121-2-1100−i3i30002-2-121-2-1100−i3i30002-2-121-2-1100−i3i30002-2-121-2-1100−i3i30002-2-121-2-1100−i3i3000-221-2-121-100i3−i3000-221-2-121-100i3−i3000
χ2944-2-2-2-211000000044-2-2-2-211000000044-2-2-2-211000000044-2-2-2-211000000044-2-2-2-211000000044-2-2-2-211000000044-2-2-2-2110000000-4-42222-1-10000000-4-42222-1-10000000
χ304-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-10000000-4422-2-2-110000000-4422-2-2-110000000
χ31111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ32111111111-111-1-1-1111111111-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111111-111-1-1-1111111111-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-11-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111
χ3311111111-11-1-111-111111111-11-1-111-1-1-1-1-1-1-1-1-11-111-1-1111111111-11-1-111-111111111-11-1-111-1-1-1-1-1-1-1-1-11-111-1-11-1-1-1-1-1-1-1-11-111-1-1111111111-11-1-111-1-1-1-1-1-1-1-1-11-111-1-11
χ3411111111-1-1-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-111111111-1-1-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111-111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1
χ35222-12-1-1-10200-1-10222-12-1-1-10200-1-10-2-2-21-21110-200110222-12-1-1-10200-1-10222-12-1-1-10200-1-10-2-2-21-21110-200110-2-2-21-21110-200110222-12-1-1-10200-1-10-2-2-21-21110-200110
χ36222-12-1-1-10-200110222-12-1-1-10-200110-2-2-21-21110200-1-10222-12-1-1-10-200110222-12-1-1-10-200110-2-2-21-21110200-1-10-2-2-21-21110200-1-10222-12-1-1-10-200110-2-2-21-21110200-1-10
χ3722-12-12-1-120-1-100022-12-12-1-120-1-1000-2-21-21-211-201100022-12-12-1-120-1-100022-12-12-1-120-1-1000-2-21-21-211-2011000-2-21-21-211-201100022-12-12-1-120-1-1000-2-21-21-211-2011000
χ3822-12-12-1-1-201100022-12-12-1-1-2011000-2-21-21-21120-1-100022-12-12-1-1-201100022-12-12-1-1-2011000-2-21-21-21120-1-1000-2-21-21-21120-1-100022-12-12-1-1-2011000-2-21-21-21120-1-1000
χ392-222-2-22-200000002-222-2-22-20000000-22-2-222-2200000002-222-2-22-200000002-222-2-22-20000000-22-2-222-220000000-22-2-222-2200000002-222-2-22-20000000-22-2-222-220000000
χ402-22-1-21-110000i3−i302-22-1-21-110000i3−i30-22-212-11-10000−i3i302-22-1-21-110000i3−i302-22-1-21-110000i3−i30-22-212-11-10000−i3i30-22-212-11-10000−i3i302-22-1-21-110000i3−i30-22-212-11-10000−i3i30
χ412-22-1-21-110000−i3i302-22-1-21-110000−i3i30-22-212-11-10000i3−i302-22-1-21-110000−i3i302-22-1-21-110000−i3i30-22-212-11-10000i3−i30-22-212-11-10000i3−i302-22-1-21-110000−i3i30-22-212-11-10000i3−i30
χ422-2-121-2-1100i3−i30002-2-121-2-1100i3−i3000-221-2-121-100−i3i30002-2-121-2-1100i3−i30002-2-121-2-1100i3−i3000-221-2-121-100−i3i3000-221-2-121-100−i3i30002-2-121-2-1100i3−i3000-221-2-121-100−i3i3000
χ432-2-121-2-1100−i3i30002-2-121-2-1100−i3i3000-221-2-121-100i3−i30002-2-121-2-1100−i3i30002-2-121-2-1100−i3i3000-221-2-121-100i3−i3000-221-2-121-100i3−i30002-2-121-2-1100−i3i3000-221-2-121-100i3−i3000
χ4444-2-2-2-211000000044-2-2-2-2110000000-4-42222-1-1000000044-2-2-2-211000000044-2-2-2-2110000000-4-42222-1-10000000-4-42222-1-1000000044-2-2-2-2110000000-4-42222-1-10000000
χ454-4-2-2221-100000004-4-2-2221-10000000-4422-2-2-1100000004-4-2-2221-100000004-4-2-2221-10000000-4422-2-2-110000000-4422-2-2-1100000004-4-2-2221-10000000-4422-2-2-110000000
χ46111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111
χ47111111111-111-1-1-1111111111-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111111-111-1-1-1111111111-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-11-1-1111111111111-111-1-1-1
χ4811111111-11-1-111-111111111-11-1-111-1-1-1-1-1-1-1-1-11-111-1-1111111111-11-1-111-111111111-11-1-111-1-1-1-1-1-1-1-1-11-111-1-11-1-1-1-1-1-1-1-11-111-1-11-1-1-1-1-1-1-1-11-111-1-1111111111-11-1-111-1
χ4911111111-1-1-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-111111111-1-1-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111-111111111-1-1-1-1-1-11
χ50222-12-1-1-10200-1-10222-12-1-1-10200-1-10-2-2-21-21110-200110222-12-1-1-10200-1-10222-12-1-1-10200-1-10-2-2-21-21110-200110-2-2-21-21110-200110-2-2-21-21110-200110222-12-1-1-10200-1-10
χ51222-12-1-1-10-200110222-12-1-1-10-200110-2-2-21-21110200-1-10222-12-1-1-10-200110222-12-1-1-10-200110-2-2-21-21110200-1-10-2-2-21-21110200-1-10-2-2-21-21110200-1-10222-12-1-1-10-200110
χ5222-12-12-1-120-1-100022-12-12-1-120-1-1000-2-21-21-211-201100022-12-12-1-120-1-100022-12-12-1-120-1-1000-2-21-21-211-2011000-2-21-21-211-2011000-2-21-21-211-201100022-12-12-1-120-1-1000
χ5322-12-12-1-1-201100022-12-12-1-1-2011000-2-21-21-21120-1-100022-12-12-1-1-201100022-12-12-1-1-2011000-2-21-21-21120-1-1000-2-21-21-21120-1-1000-2-21-21-21120-1-100022-12-12-1-1-2011000
χ542-222-2-22-200000002-222-2-22-20000000-22-2-222-2200000002-222-2-22-200000002-222-2-22-20000000-22-2-222-220000000-22-2-222-220000000-22-2-222-2200000002-222-2-22-20000000
χ552-22-1-21-110000i3−i302-22-1-21-110000i3−i30-22-212-11-10000−i3i302-22-1-21-110000i3−i302-22-1-21-110000i3−i30-22-212-11-10000−i3i30-22-212-11-10000−i3i30-22-212-11-10000−i3i302-22-1-21-110000i3−i30
χ562-22-1-21-110000−i3i302-22-1-21-110000−i3i30-22-212-11-10000i3−i302-22-1-21-110000−i3i302-22-1-21-110000−i3i30-22-212-11-10000i3−i30-22-212-11-10000i3−i30-22-212-11-10000i3−i302-22-1-21-110000−i3i30
χ572-2-121-2-1100i3−i30002-2-121-2-1100i3−i3000-221-2-121-100−i3i30002-2-121-2-1100i3−i30002-2-121-2-1100i3−i3000-221-2-121-100−i3i3000-221-2-121-100−i3i3000-221-2-121-100−i3i30002-2-121-2-1100i3−i3000
χ582-2-121-2-1100−i3i30002-2-121-2-1100−i3i3000-221-2-121-100i3−i30002-2-121-2-1100−i3i30002-2-121-2-1100−i3i3000-221-2-121-100i3−i3000-221-2-121-100i3−i3000-221-2-121-100i3−i30002-2-121-2-1100−i3i3000
χ5944-2-2-2-211000000044-2-2-2-2110000000-4-42222-1-1000000044-2-2-2-211000000044-2-2-2-2110000000-4-42222-1-10000000-4-42222-1-10000000-4-42222-1-1000000044-2-2-2-2110000000
χ604-4-2-2221-100000004-4-2-2221-10000000-4422-2-2-1100000004-4-2-2221-100000004-4-2-2221-10000000-4422-2-2-110000000-4422-2-2-110000000-4422-2-2-1100000004-4-2-2221-10000000
χ61222222222222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000
χ62222222222-222-2-2-2222222222-222-2-2-2222222222-222-2-2-2-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-11-1-1111000000000000000000000000000000
χ6322222222-22-2-222-222222222-22-2-222-222222222-22-2-222-2-1-1-1-1-1-1-1-11-111-1-11-1-1-1-1-1-1-1-11-111-1-11-1-1-1-1-1-1-1-11-111-1-11-1-1-1-1-1-1-1-11-111-1-11000000000000000000000000000000
χ6422222222-2-2-2-2-2-2222222222-2-2-2-2-2-2222222222-2-2-2-2-2-22-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111-1000000000000000000000000000000
χ65444-24-2-2-20400-2-20444-24-2-2-20400-2-20444-24-2-2-20400-2-20-2-2-21-21110-200110-2-2-21-21110-200110-2-2-21-21110-200110-2-2-21-21110-200110000000000000000000000000000000
χ66444-24-2-2-20-400220444-24-2-2-20-400220444-24-2-2-20-400220-2-2-21-21110200-1-10-2-2-21-21110200-1-10-2-2-21-21110200-1-10-2-2-21-21110200-1-10000000000000000000000000000000
χ6744-24-24-2-240-2-200044-24-24-2-240-2-200044-24-24-2-240-2-2000-2-21-21-211-2011000-2-21-21-211-2011000-2-21-21-211-2011000-2-21-21-211-2011000000000000000000000000000000000
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χ81444-24-2-2-20-400220444-24-2-2-20-400220-4-4-42-42220400-2-20-2-2-21-21110200-1-10-2-2-21-21110200-1-10222-12-1-1-10-200110222-12-1-1-10-200110000000000000000000000000000000
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χ95444-24-2-2-20400-2-20-4-4-42-42220-400220000000000000000444-24-2-2-20400-2-20-4-4-42-42220-400220000000000000000000000000000000000000000000000000000000000000
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χ10922222222-2-2-2-2-2-22-2-2-2-2-2-2-2-2222222-2000000000000000-1-1-1-1-1-1-1-1111111-111111111-1-1-1-1-1-11i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3−i3000000000000000000000000000000
χ110444-24-2-2-20400-2-20-4-4-42-42220-400220000000000000000-2-2-21-21110-200110222-12-1-1-10200-1-102i32i32i3−i32i3−i3−i3−i302i300−i3−i30−2i3−2i3−2i3i3−2i3i3i3i30−2i300i3i30000000000000000000000000000000
χ111444-24-2-2-20-400220-4-4-42-42220400-2-20000000000000000-2-2-21-21110200-1-10222-12-1-1-10-2001102i32i32i3−i32i3−i3−i3−i30−2i300i3i30−2i3−2i3−2i3i3−2i3i3i3i302i300−i3−i30000000000000000000000000000000
χ11244-24-24-2-240-2-2000-4-42-42-422-4022000000000000000000-2-21-21-211-201100022-12-12-1-120-1-10002i32i3−i32i3−i32i3−i3−i32i30−i3−i3000−2i3−2i3i3−2i3i3−2i3i3i3−2i30i3i3000000000000000000000000000000000
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χ1208-8-4-4442-20000000-8844-4-4-220000000000000000000000-4422-2-2-1100000004-4-2-2221-100000004i3−4i3−2i3−2i32i32i3i3−i30000000−4i34i32i32i3−2i3−2i3−i3i30000000000000000000000000000000000000
χ121222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3i3i3i3i3i3i3i3000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).