Finite Group Databasebeta

← Group #13172673

Character table — Group #13172673

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size11222244666666181122224466666618224444881212121212123622444488121212121212362244448812121212121236224444881212121212123622444488121212121212366612121212242436363636363610866121212122424363636363636108
order123366362466121222266666624661212222666666246612122363366366126612126666666666126612126666666666126612126666666666126612126226666662466121224412121212121244121212124
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
χ5222-1-12-1-120-1-1000222-1-12-1-120-1-1000222-1-12-1-120-1-1000222-1-12-1-120-1-1000222-1-12-1-120-1-1000222-1-12-1-120-1-1000222-1-12-1-120-1-1000222-1-12-1-120-1-1000222-1-12-1-120-1-1000
χ6222-1-12-1-1-2011000222-1-12-1-1-2011000222-1-12-1-1-2011000222-1-12-1-1-2011000222-1-12-1-1-2011000222-1-12-1-1-2011000222-1-12-1-1-2011000222-1-12-1-1-2011000222-1-12-1-1-2011000
χ722-122-1-1-10200-1-1022-122-1-1-10200-1-1022-122-1-1-10200-1-1022-122-1-1-10200-1-1022-122-1-1-10200-1-1022-122-1-1-10200-1-1022-122-1-1-10200-1-1022-122-1-1-10200-1-1022-122-1-1-10200-1-10
χ822-122-1-1-10-20011022-122-1-1-10-20011022-122-1-1-10-20011022-122-1-1-10-20011022-122-1-1-10-20011022-122-1-1-10-20011022-122-1-1-10-20011022-122-1-1-10-20011022-122-1-1-10-200110
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
χ102-22-11-2-1100−i3i30002-22-11-2-1100−i3i30002-22-11-2-1100−i3i30002-22-11-2-1100−i3i30002-22-11-2-1100−i3i30002-22-11-2-1100−i3i30002-22-11-2-1100−i3i30002-22-11-2-1100−i3i30002-22-11-2-1100−i3i3000
χ112-22-11-2-1100i3−i30002-22-11-2-1100i3−i30002-22-11-2-1100i3−i30002-22-11-2-1100i3−i30002-22-11-2-1100i3−i30002-22-11-2-1100i3−i30002-22-11-2-1100i3−i30002-22-11-2-1100i3−i30002-22-11-2-1100i3−i3000
χ122-2-12-21-1100003−302-2-12-21-1100003−302-2-12-21-1100003−302-2-12-21-1100003−302-2-12-21-1100003−302-2-12-21-1100003−302-2-12-21-1100003−302-2-12-21-1100003−302-2-12-21-1100003−30
χ132-2-12-21-110000−3302-2-12-21-110000−3302-2-12-21-110000−3302-2-12-21-110000−3302-2-12-21-110000−3302-2-12-21-110000−3302-2-12-21-110000−3302-2-12-21-110000−3302-2-12-21-110000−330
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
χ20222-1-12-1-120-1-1000222-1-12-1-120-1-1000222-1-12-1-120-1-1000222-1-12-1-120-1-1000222-1-12-1-120-1-1000222-1-12-1-120-1-1000222-1-12-1-120-1-1000-2-2-211-211-2011000-2-2-211-211-2011000
χ21222-1-12-1-1-2011000222-1-12-1-1-2011000222-1-12-1-1-2011000222-1-12-1-1-2011000222-1-12-1-1-2011000222-1-12-1-1-2011000222-1-12-1-1-2011000-2-2-211-21120-1-1000-2-2-211-21120-1-1000
χ2222-122-1-1-10200-1-1022-122-1-1-10200-1-1022-122-1-1-10200-1-1022-122-1-1-10200-1-1022-122-1-1-10200-1-1022-122-1-1-10200-1-1022-122-1-1-10200-1-10-2-21-2-21110-200110-2-21-2-21110-200110
χ2322-122-1-1-10-20011022-122-1-1-10-20011022-122-1-1-10-20011022-122-1-1-10-20011022-122-1-1-10-20011022-122-1-1-10-20011022-122-1-1-10-200110-2-21-2-21110200-1-10-2-21-2-21110200-1-10
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
χ252-22-11-2-1100−i3i30002-22-11-2-1100−i3i30002-22-11-2-1100−i3i30002-22-11-2-1100−i3i30002-22-11-2-1100−i3i30002-22-11-2-1100−i3i30002-22-11-2-1100−i3i3000-22-21-121-100i3−i3000-22-21-121-100i3−i3000
χ262-22-11-2-1100i3−i30002-22-11-2-1100i3−i30002-22-11-2-1100i3−i30002-22-11-2-1100i3−i30002-22-11-2-1100i3−i30002-22-11-2-1100i3−i30002-22-11-2-1100i3−i3000-22-21-121-100−i3i3000-22-21-121-100−i3i3000
χ272-2-12-21-1100003−302-2-12-21-1100003−302-2-12-21-1100003−302-2-12-21-1100003−302-2-12-21-1100003−302-2-12-21-1100003−302-2-12-21-1100003−30-221-22-11-10000−330-221-22-11-10000−330
χ282-2-12-21-110000−3302-2-12-21-110000−3302-2-12-21-110000−3302-2-12-21-110000−3302-2-12-21-110000−3302-2-12-21-110000−3302-2-12-21-110000−330-221-22-11-100003−30-221-22-11-100003−30
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
χ35222-1-12-1-120-1-1000222-1-12-1-120-1-1000-2-2-211-211-2011000222-1-12-1-120-1-1000222-1-12-1-120-1-1000-2-2-211-211-2011000-2-2-211-211-2011000222-1-12-1-120-1-1000-2-2-211-211-2011000
χ36222-1-12-1-1-2011000222-1-12-1-1-2011000-2-2-211-21120-1-1000222-1-12-1-1-2011000222-1-12-1-1-2011000-2-2-211-21120-1-1000-2-2-211-21120-1-1000222-1-12-1-1-2011000-2-2-211-21120-1-1000
χ3722-122-1-1-10200-1-1022-122-1-1-10200-1-10-2-21-2-21110-20011022-122-1-1-10200-1-1022-122-1-1-10200-1-10-2-21-2-21110-200110-2-21-2-21110-20011022-122-1-1-10200-1-10-2-21-2-21110-200110
χ3822-122-1-1-10-20011022-122-1-1-10-200110-2-21-2-21110200-1-1022-122-1-1-10-20011022-122-1-1-10-200110-2-21-2-21110200-1-10-2-21-2-21110200-1-1022-122-1-1-10-200110-2-21-2-21110200-1-10
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
χ402-22-11-2-1100−i3i30002-22-11-2-1100−i3i3000-22-21-121-100i3−i30002-22-11-2-1100−i3i30002-22-11-2-1100−i3i3000-22-21-121-100i3−i3000-22-21-121-100i3−i30002-22-11-2-1100−i3i3000-22-21-121-100i3−i3000
χ412-22-11-2-1100i3−i30002-22-11-2-1100i3−i3000-22-21-121-100−i3i30002-22-11-2-1100i3−i30002-22-11-2-1100i3−i3000-22-21-121-100−i3i3000-22-21-121-100−i3i30002-22-11-2-1100i3−i3000-22-21-121-100−i3i3000
χ422-2-12-21-1100003−302-2-12-21-1100003−30-221-22-11-10000−3302-2-12-21-1100003−302-2-12-21-1100003−30-221-22-11-10000−330-221-22-11-10000−3302-2-12-21-1100003−30-221-22-11-10000−330
χ432-2-12-21-110000−3302-2-12-21-110000−330-221-22-11-100003−302-2-12-21-110000−3302-2-12-21-110000−330-221-22-11-100003−30-221-22-11-100003−302-2-12-21-110000−330-221-22-11-100003−30
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
χ50222-1-12-1-120-1-1000222-1-12-1-120-1-1000-2-2-211-211-2011000222-1-12-1-120-1-1000222-1-12-1-120-1-1000-2-2-211-211-2011000-2-2-211-211-2011000-2-2-211-211-2011000222-1-12-1-120-1-1000
χ51222-1-12-1-1-2011000222-1-12-1-1-2011000-2-2-211-21120-1-1000222-1-12-1-1-2011000222-1-12-1-1-2011000-2-2-211-21120-1-1000-2-2-211-21120-1-1000-2-2-211-21120-1-1000222-1-12-1-1-2011000
χ5222-122-1-1-10200-1-1022-122-1-1-10200-1-10-2-21-2-21110-20011022-122-1-1-10200-1-1022-122-1-1-10200-1-10-2-21-2-21110-200110-2-21-2-21110-200110-2-21-2-21110-20011022-122-1-1-10200-1-10
χ5322-122-1-1-10-20011022-122-1-1-10-200110-2-21-2-21110200-1-1022-122-1-1-10-20011022-122-1-1-10-200110-2-21-2-21110200-1-10-2-21-2-21110200-1-10-2-21-2-21110200-1-1022-122-1-1-10-200110
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
χ552-22-11-2-1100−i3i30002-22-11-2-1100−i3i3000-22-21-121-100i3−i30002-22-11-2-1100−i3i30002-22-11-2-1100−i3i3000-22-21-121-100i3−i3000-22-21-121-100i3−i3000-22-21-121-100i3−i30002-22-11-2-1100−i3i3000
χ562-22-11-2-1100i3−i30002-22-11-2-1100i3−i3000-22-21-121-100−i3i30002-22-11-2-1100i3−i30002-22-11-2-1100i3−i3000-22-21-121-100−i3i3000-22-21-121-100−i3i3000-22-21-121-100−i3i30002-22-11-2-1100i3−i3000
χ572-2-12-21-1100003−302-2-12-21-1100003−30-221-22-11-10000−3302-2-12-21-1100003−302-2-12-21-1100003−30-221-22-11-10000−330-221-22-11-10000−330-221-22-11-10000−3302-2-12-21-1100003−30
χ582-2-12-21-110000−3302-2-12-21-110000−330-221-22-11-100003−302-2-12-21-110000−3302-2-12-21-110000−330-221-22-11-100003−30-221-22-11-100003−30-221-22-11-100003−302-2-12-21-110000−330
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
χ65444-2-24-2-240-2-2000444-2-24-2-240-2-2000444-2-24-2-240-2-2000-2-2-211-211-2011000-2-2-211-211-2011000-2-2-211-211-2011000-2-2-211-211-2011000000000000000000000000000000000
χ66444-2-24-2-2-4022000444-2-24-2-2-4022000444-2-24-2-2-4022000-2-2-211-21120-1-1000-2-2-211-21120-1-1000-2-2-211-21120-1-1000-2-2-211-21120-1-1000000000000000000000000000000000
χ6744-244-2-2-20400-2-2044-244-2-2-20400-2-2044-244-2-2-20400-2-20-2-21-2-21110-200110-2-21-2-21110-200110-2-21-2-21110-200110-2-21-2-21110-200110000000000000000000000000000000
χ6844-244-2-2-20-40022044-244-2-2-20-40022044-244-2-2-20-400220-2-21-2-21110200-1-10-2-21-2-21110200-1-10-2-21-2-21110200-1-10-2-21-2-21110200-1-10000000000000000000000000000000
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χ110444-2-24-2-240-2-2000-4-4-422-422-4022000000000000000000-2-2-211-211-2011000222-1-12-1-120-1-10002i32i32i3−i3−i32i3−i3−i32i30−i3−i3000−2i3−2i3−2i3i3i3−2i3i3i3−2i30i3i3000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).