Finite Group Databasebeta

← Group #11724413

Character table — Group #11724413

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1122224466666618224444881212121212123633666612121818181818185411222244666666182244448812121212121236336666121218181818181854
order12336636226666436336636666666122266666622666642266666622666646666666666666612226666662266664
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1
χ311111111-11-1-111-111111111-11-1-111-111111111-11-1-111-111111111-11-1-111-111111111-11-1-111-111111111-11-1-111-1
χ411111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-11
χ5222-12-1-1-10200-1-10222-12-1-1-10200-1-10222-12-1-1-10200-1-10222-12-1-1-10200-1-10222-12-1-1-10200-1-10222-12-1-1-10200-1-10
χ6222-12-1-1-10-200110222-12-1-1-10-200110222-12-1-1-10-200110222-12-1-1-10-200110222-12-1-1-10-200110222-12-1-1-10-200110
χ722-12-12-1-120-1-100022-12-12-1-120-1-100022-12-12-1-120-1-100022-12-12-1-120-1-100022-12-12-1-120-1-100022-12-12-1-120-1-1000
χ822-12-12-1-1-201100022-12-12-1-1-201100022-12-12-1-1-201100022-12-12-1-1-201100022-12-12-1-1-201100022-12-12-1-1-2011000
χ92-222-2-22-200000002-222-2-22-200000002-222-2-22-200000002-222-2-22-200000002-222-2-22-200000002-222-2-22-20000000
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−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−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−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−i3i3000
χ1444-2-2-2-211000000044-2-2-2-211000000044-2-2-2-211000000044-2-2-2-211000000044-2-2-2-211000000044-2-2-2-2110000000
χ154-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-10000000
χ16111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ17111111111-111-1-1-1111111111-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111111-111-1-1-1111111111-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111
χ1811111111-11-1-111-111111111-11-1-111-1-1-1-1-1-1-1-1-11-111-1-1111111111-11-1-111-111111111-11-1-111-1-1-1-1-1-1-1-1-11-111-1-11
χ1911111111-1-1-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-111111111-1-1-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1
χ20222-12-1-1-10200-1-10222-12-1-1-10200-1-10-2-2-21-21110-200110222-12-1-1-10200-1-10222-12-1-1-10200-1-10-2-2-21-21110-200110
χ21222-12-1-1-10-200110222-12-1-1-10-200110-2-2-21-21110200-1-10222-12-1-1-10-200110222-12-1-1-10-200110-2-2-21-21110200-1-10
χ2222-12-12-1-120-1-100022-12-12-1-120-1-1000-2-21-21-211-201100022-12-12-1-120-1-100022-12-12-1-120-1-1000-2-21-21-211-2011000
χ2322-12-12-1-1-201100022-12-12-1-1-2011000-2-21-21-21120-1-100022-12-12-1-1-201100022-12-12-1-1-2011000-2-21-21-21120-1-1000
χ242-222-2-22-200000002-222-2-22-20000000-22-2-222-2200000002-222-2-22-200000002-222-2-22-20000000-22-2-222-220000000
χ252-22-1-21-110000i3−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
χ262-22-1-21-110000−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
χ272-2-121-2-1100i3−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
χ282-2-121-2-1100−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
χ2944-2-2-2-211000000044-2-2-2-2110000000-4-42222-1-1000000044-2-2-2-211000000044-2-2-2-2110000000-4-42222-1-10000000
χ304-4-2-2221-100000004-4-2-2221-10000000-4422-2-2-1100000004-4-2-2221-100000004-4-2-2221-10000000-4422-2-2-110000000
χ31222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000
χ32222222222-222-2-2-2-1-1-1-1-1-1-1-1-11-1-1111000000000000000222222222-222-2-2-2-1-1-1-1-1-1-1-1-11-1-1111000000000000000
χ3322222222-22-2-222-2-1-1-1-1-1-1-1-11-111-1-1100000000000000022222222-22-2-222-2-1-1-1-1-1-1-1-11-111-1-11000000000000000
χ3422222222-2-2-2-2-2-22-1-1-1-1-1-1-1-1111111-100000000000000022222222-2-2-2-2-2-22-1-1-1-1-1-1-1-1111111-1000000000000000
χ35444-24-2-2-20400-2-20-2-2-21-21110-200110000000000000000444-24-2-2-20400-2-20-2-2-21-21110-200110000000000000000
χ36444-24-2-2-20-400220-2-2-21-21110200-1-10000000000000000444-24-2-2-20-400220-2-2-21-21110200-1-10000000000000000
χ3744-24-24-2-240-2-2000-2-21-21-211-201100000000000000000044-24-24-2-240-2-2000-2-21-21-211-2011000000000000000000
χ3844-24-24-2-2-4022000-2-21-21-21120-1-100000000000000000044-24-24-2-2-4022000-2-21-21-21120-1-1000000000000000000
χ394-444-4-44-40000000-22-2-222-2200000000000000000000004-444-4-44-40000000-22-2-222-220000000000000000000000
χ404-44-2-42-2200002i3−2i30-22-212-11-10000−i3i300000000000000004-44-2-42-2200002i3−2i30-22-212-11-10000−i3i30000000000000000
χ414-44-2-42-220000−2i32i30-22-212-11-10000i3−i300000000000000004-44-2-42-220000−2i32i30-22-212-11-10000i3−i30000000000000000
χ424-4-242-4-22002i3−2i3000-221-2-121-100−i3i30000000000000000004-4-242-4-22002i3−2i3000-221-2-121-100−i3i3000000000000000000
χ434-4-242-4-2200−2i32i3000-221-2-121-100i3−i30000000000000000004-4-242-4-2200−2i32i3000-221-2-121-100i3−i3000000000000000000
χ4488-4-4-4-4220000000-4-42222-1-1000000000000000000000088-4-4-4-4220000000-4-42222-1-10000000000000000000000
χ458-8-4-4442-20000000-4422-2-2-1100000000000000000000008-8-4-4442-20000000-4422-2-2-110000000000000000000000
χ46111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ47111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-11-1-1111
χ4811111111-11-1-111-111111111-11-1-111-111111111-11-1-111-1-1-1-1-1-1-1-1-11-111-1-11-1-1-1-1-1-1-1-11-111-1-11-1-1-1-1-1-1-1-11-111-1-11
χ4911111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111-1
χ50222-12-1-1-10200-1-10222-12-1-1-10200-1-10222-12-1-1-10200-1-10-2-2-21-21110-200110-2-2-21-21110-200110-2-2-21-21110-200110
χ51222-12-1-1-10-200110222-12-1-1-10-200110222-12-1-1-10-200110-2-2-21-21110200-1-10-2-2-21-21110200-1-10-2-2-21-21110200-1-10
χ5222-12-12-1-120-1-100022-12-12-1-120-1-100022-12-12-1-120-1-1000-2-21-21-211-2011000-2-21-21-211-2011000-2-21-21-211-2011000
χ5322-12-12-1-1-201100022-12-12-1-1-201100022-12-12-1-1-2011000-2-21-21-21120-1-1000-2-21-21-21120-1-1000-2-21-21-21120-1-1000
χ542-222-2-22-200000002-222-2-22-200000002-222-2-22-20000000-22-2-222-220000000-22-2-222-220000000-22-2-222-220000000
χ552-22-1-21-110000i3−i302-22-1-21-110000i3−i302-22-1-21-110000i3−i30-22-212-11-10000−i3i30-22-212-11-10000−i3i30-22-212-11-10000−i3i30
χ562-22-1-21-110000−i3i302-22-1-21-110000−i3i302-22-1-21-110000−i3i30-22-212-11-10000i3−i30-22-212-11-10000i3−i30-22-212-11-10000i3−i30
χ572-2-121-2-1100i3−i30002-2-121-2-1100i3−i30002-2-121-2-1100i3−i3000-221-2-121-100−i3i3000-221-2-121-100−i3i3000-221-2-121-100−i3i3000
χ582-2-121-2-1100−i3i30002-2-121-2-1100−i3i30002-2-121-2-1100−i3i3000-221-2-121-100i3−i3000-221-2-121-100i3−i3000-221-2-121-100i3−i3000
χ5944-2-2-2-211000000044-2-2-2-211000000044-2-2-2-2110000000-4-42222-1-10000000-4-42222-1-10000000-4-42222-1-10000000
χ604-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-10000000-4422-2-2-110000000-4422-2-2-110000000-4422-2-2-110000000
χ61111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111
χ62111111111-111-1-1-1111111111-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-11-1-1111111111111-111-1-1-1
χ6311111111-11-1-111-111111111-11-1-111-1-1-1-1-1-1-1-1-11-111-1-11-1-1-1-1-1-1-1-11-111-1-11-1-1-1-1-1-1-1-11-111-1-1111111111-11-1-111-1
χ6411111111-1-1-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111-111111111-1-1-1-1-1-11
χ65222-12-1-1-10200-1-10222-12-1-1-10200-1-10-2-2-21-21110-200110-2-2-21-21110-200110-2-2-21-21110-200110222-12-1-1-10200-1-10
χ66222-12-1-1-10-200110222-12-1-1-10-200110-2-2-21-21110200-1-10-2-2-21-21110200-1-10-2-2-21-21110200-1-10222-12-1-1-10-200110
χ6722-12-12-1-120-1-100022-12-12-1-120-1-1000-2-21-21-211-2011000-2-21-21-211-2011000-2-21-21-211-201100022-12-12-1-120-1-1000
χ6822-12-12-1-1-201100022-12-12-1-1-2011000-2-21-21-21120-1-1000-2-21-21-21120-1-1000-2-21-21-21120-1-100022-12-12-1-1-2011000
χ692-222-2-22-200000002-222-2-22-20000000-22-2-222-220000000-22-2-222-220000000-22-2-222-2200000002-222-2-22-20000000
χ702-22-1-21-110000i3−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
χ712-22-1-21-110000−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
χ722-2-121-2-1100i3−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
χ732-2-121-2-1100−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
χ7444-2-2-2-211000000044-2-2-2-2110000000-4-42222-1-10000000-4-42222-1-10000000-4-42222-1-1000000044-2-2-2-2110000000
χ754-4-2-2221-100000004-4-2-2221-10000000-4422-2-2-110000000-4422-2-2-110000000-4422-2-2-1100000004-4-2-2221-10000000
χ76222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111111111000000000000000
χ77222222222-222-2-2-2-1-1-1-1-1-1-1-1-11-1-1111000000000000000-2-2-2-2-2-2-2-2-22-2-2222111111111-111-1-1-1000000000000000
χ7822222222-22-2-222-2-1-1-1-1-1-1-1-11-111-1-11000000000000000-2-2-2-2-2-2-2-22-222-2-2211111111-11-1-111-1000000000000000
χ7922222222-2-2-2-2-2-22-1-1-1-1-1-1-1-1111111-1000000000000000-2-2-2-2-2-2-2-2222222-211111111-1-1-1-1-1-11000000000000000
χ80444-24-2-2-20400-2-20-2-2-21-21110-200110000000000000000-4-4-42-42220-400220222-12-1-1-10200-1-10000000000000000
χ81444-24-2-2-20-400220-2-2-21-21110200-1-10000000000000000-4-4-42-42220400-2-20222-12-1-1-10-200110000000000000000
χ8244-24-24-2-240-2-2000-2-21-21-211-2011000000000000000000-4-42-42-422-402200022-12-12-1-120-1-1000000000000000000
χ8344-24-24-2-2-4022000-2-21-21-21120-1-1000000000000000000-4-42-42-42240-2-200022-12-12-1-1-2011000000000000000000
χ844-444-4-44-40000000-22-2-222-220000000000000000000000-44-4-444-4400000002-222-2-22-20000000000000000000000
χ854-44-2-42-2200002i3−2i30-22-212-11-10000−i3i30000000000000000-44-424-22-20000−2i32i302-22-1-21-110000i3−i30000000000000000
χ864-44-2-42-220000−2i32i30-22-212-11-10000i3−i30000000000000000-44-424-22-200002i3−2i302-22-1-21-110000−i3i30000000000000000
χ874-4-242-4-22002i3−2i3000-221-2-121-100−i3i3000000000000000000-442-4-242-200−2i32i30002-2-121-2-1100i3−i3000000000000000000
χ884-4-242-4-2200−2i32i3000-221-2-121-100i3−i3000000000000000000-442-4-242-2002i3−2i30002-2-121-2-1100−i3i3000000000000000000
χ8988-4-4-4-4220000000-4-42222-1-10000000000000000000000-8-84444-2-2000000044-2-2-2-2110000000000000000000000
χ908-8-4-4442-20000000-4422-2-2-110000000000000000000000-8844-4-4-2200000004-4-2-2221-10000000000000000000000

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