Finite Group Databasebeta

← Group #13160984

Character table — Group #13160984

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size112222222222222444444444444444444444444444444444444488888888888888888888888888888888242424242424242424242424242424242424363636363636363636363636108108216
order1222233333666662333346666666666666666666666666666612126666666666666666666612121212121212121212121244121212121212121212121212121212122244666612121212444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ5111111111111111-11111-11111111-1-111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1
χ6111111111111111-11111-11111111-1-111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-11
χ7111111111111111-11111-11111111-1-111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111-11-111-1-111-1-1-1-11
χ8111111111111111-11111-11111111-1-111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-11-11-1-111-1-11111-1
χ9222222222-12222-12-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000002222-1-1-1-1-1-1-1-1000
χ10222222222-12222-12-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000-2-2-2-211111111000
χ11222222222-12222-1-2-1-1-1-1-22222-1-1-111-1-1-1-1-1-1-1-1-1-1-1-12222222211-2-2-2-2-1-1-1-1-1-1-1-111111111-2-2-2-2111111110000000000000000002-22-2-1-111-1-111000
χ12222222222-12222-1-2-1-1-1-1-22222-1-1-111-1-1-1-1-1-1-1-1-1-1-1-12222222211-2-2-2-2-1-1-1-1-1-1-1-111111111-2-2-2-211111111000000000000000000-22-2211-1-111-1-1000
χ13222222-1-1-122-1-1-1222-1-1-122-1-1-12222222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1000000000000000
χ14222222-1-1-122-1-1-1222-1-1-122-1-1-12222222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-2111111-2-2111111000000000000000
χ15222222-1-1-122-1-1-12-22-1-1-1-22-1-1-1222-2-222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-2-2-211122-1-1-1-1-1-1-2-2111111-2111-2-21111112-222-1-1-1-1-1-1-2-2111111000000000000000
χ16222222-1-1-122-1-1-12-22-1-1-1-22-1-1-1222-2-222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-2-2-211122-1-1-1-1-1-1-2-2111111-2111-2-2111111-22-2-211111122-1-1-1-1-1-1000000000000000
χ1722222-12-1-12-12-1-122-12-1-12-12-1-122222-1-122-1-1-1-1-12-1-1-1-122-1-1-1-122-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1000000000000000
χ1822222-12-1-12-12-1-122-12-1-12-12-1-122222-1-122-1-1-1-1-12-1-1-1-122-1-1-1-122-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-2-211-2-2111111-2-21111000000000000000
χ1922222-12-1-12-12-1-12-2-12-1-1-2-12-1-1222-2-2-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-2-21-211-1-122-1-1-1-111-2-211111-21111-2-211112-2-1-122-1-1-1-111-2-21111000000000000000
χ2022222-12-1-12-12-1-12-2-12-1-1-2-12-1-1222-2-2-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-2-21-211-1-122-1-1-1-111-2-211111-21111-2-21111-2211-2-21111-1-122-1-1-1-1000000000000000
χ2122222-1-12-12-1-12-122-1-12-12-1-12-122222-1-1-1-122-1-1-1-12-1-1-1-1-122-1-122-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-1000000000000000
χ2222222-1-12-12-1-12-122-1-12-12-1-12-122222-1-1-1-122-1-1-1-12-1-1-1-1-122-1-122-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-2-21111-2-2111111-2-211000000000000000
χ2322222-1-12-12-1-12-12-2-1-12-1-2-1-12-1222-2-2-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-2-211-21-1-1-1-122-1-11111-2-21111-211111-2-2112-2-1-1-1-122-1-11111-2-211000000000000000
χ2422222-1-12-12-1-12-12-2-1-12-1-2-1-12-1222-2-2-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-2-211-21-1-1-1-122-1-11111-2-21111-211111-2-211-221111-2-211-1-1-1-122-1-1000000000000000
χ2522222-1-1-122-1-1-1222-1-1-122-1-1-1222222-1-1-1-1-1-122-1-1-12-1-1-1-1-1-12222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122000000000000000
χ2622222-1-1-122-1-1-1222-1-1-122-1-1-1222222-1-1-1-1-1-122-1-1-12-1-1-1-1-1-12222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-2-2111111-2-2111111-2-2000000000000000
χ2722222-1-1-122-1-1-122-2-1-1-12-2-1-1-12222-2-2-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-2-2111-2-1-1-1-1-1-122111111-2-2111-2111111-2-22-2-1-1-1-1-1-122111111-2-2000000000000000
χ2822222-1-1-122-1-1-122-2-1-1-12-2-1-1-12222-2-2-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-2-2111-2-1-1-1-1-1-122111111-2-2111-2111111-2-2-22111111-2-2-1-1-1-1-1-122000000000000000
χ29222-2-22222222222022220-2-2-2-22-2-200-2-2-2-2-2-2-2-222222-22-22-22-20000002-22-22-22-20000000000000000000000000000000000000020-202200-2-200000
χ30222-2-22222222222022220-2-2-2-22-2-200-2-2-2-2-2-2-2-222222-22-22-22-20000002-22-22-22-200000000000000000000000000000000000000-2020-2-2002200000
χ31222-2-22222-12222-10-1-1-1-10-2-2-2-2-111−i3i311111111-1-1-1-12-22-22-22-2−i3i30000-11-11-11-11−i3i3−i3i3−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i300000000000000000020-20-1-1−i3i311−i3i3000
χ32222-2-22222-12222-10-1-1-1-10-2-2-2-2-111−i3i311111111-1-1-1-12-22-22-22-2−i3i30000-11-11-11-11−i3i3−i3i3−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i3000000000000000000-202011i3−i3-1-1i3−i3000
χ33222-2-22222-12222-10-1-1-1-10-2-2-2-2-111i3−i311111111-1-1-1-12-22-22-22-2i3−i30000-11-11-11-11i3−i3i3−i3i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i300000000000000000020-20-1-1i3−i311i3−i3000
χ34222-2-22222-12222-10-1-1-1-10-2-2-2-2-111i3−i311111111-1-1-1-12-22-22-22-2i3−i30000-11-11-11-11i3−i3i3−i3i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i3000000000000000000-202011−i3i3-1-1−i3i3000
χ3522-22-22222222222022220-2-2-2-2-22-200-2-2-2-2-2-2-2-22222-22-22-22-22000000-22-22-22-2200000000000000000000000000000000000000020-2002200-2-2000
χ3622-22-22222222222022220-2-2-2-2-22-200-2-2-2-2-2-2-2-22222-22-22-22-22000000-22-22-22-22000000000000000000000000000000000000000-20200-2-20022000
χ3722-22-22222-12222-10-1-1-1-10-2-2-2-21-11−i3i311111111-1-1-1-1-22-22-22-22i3−i300001-11-11-11-1−i3i3−i3i3−i3i3−i3i30000i3−i3i3−i3i3−i3i3−i3000000000000000000020-2−i3i3-1-1−i3i311000
χ3822-22-22222-12222-10-1-1-1-10-2-2-2-21-11−i3i311111111-1-1-1-1-22-22-22-22i3−i300001-11-11-11-1−i3i3−i3i3−i3i3−i3i30000i3−i3i3−i3i3−i3i3−i30000000000000000000-202i3−i311i3−i3-1-1000
χ3922-22-22222-12222-10-1-1-1-10-2-2-2-21-11i3−i311111111-1-1-1-1-22-22-22-22−i3i300001-11-11-11-1i3−i3i3−i3i3−i3i3−i30000−i3i3−i3i3−i3i3−i3i3000000000000000000020-2i3−i3-1-1i3−i311000
χ4022-22-22222-12222-10-1-1-1-10-2-2-2-21-11i3−i311111111-1-1-1-1-22-22-22-22−i3i300001-11-11-11-1i3−i3i3−i3i3−i3i3−i30000−i3i3−i3i3−i3i3−i3i30000000000000000000-202−i3i311−i3i3-1-1000
χ4122-2-22222222222222222-22222-2-2222222222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000
χ4222-2-222222222222-2222222222-2-22-2-2222222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222000000000000000000000000000000000
χ4322-2-222222-12222-12-1-1-1-1-2222211-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211222211111111-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000000000−i3i3−i3i3i3−i3i3−i3000
χ4422-2-222222-12222-12-1-1-1-1-2222211-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211222211111111-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000000000i3−i3i3−i3−i3i3−i3i3000
χ4522-2-222222-12222-1-2-1-1-1-12222211-111-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-2-2-2-211111111111111112222-1-1-1-1-1-1-1-10000000000000000000000−i3i3i3−i3i3−i3−i3i3000
χ4622-2-222222-12222-1-2-1-1-1-12222211-111-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-2-2-2-211111111111111112222-1-1-1-1-1-1-1-10000000000000000000000i3−i3−i3i3−i3i3i3−i3000
χ4722-2-222-1-1-122-1-1-1222-1-1-1-22-1-1-1-2-222222-1-1-1-1-1-12-1-1-1-2-2111111-2-22-1-1-1-2-211111122-1-1-1-1-1-1-2111-2-211111100003−33−33−3003−33−33−3000000000000000
χ4822-2-222-1-1-122-1-1-1222-1-1-1-22-1-1-1-2-222222-1-1-1-1-1-12-1-1-1-2-2111111-2-22-1-1-1-2-211111122-1-1-1-1-1-1-2111-2-21111110000−33−33−3300−33−33−33000000000000000
χ4922-2-222-1-1-122-1-1-12-22-1-1-122-1-1-1-2-22-2-222-1-1-1-1-1-12-1-1-1-2-211111122-2111-2-2111111-2-21111112-1-1-122-1-1-1-1-1-100003−33−33−300−33−33−33000000000000000
χ5022-2-222-1-1-122-1-1-12-22-1-1-122-1-1-1-2-22-2-222-1-1-1-1-1-12-1-1-1-2-211111122-2111-2-2111111-2-21111112-1-1-122-1-1-1-1-1-10000−33−33−33003−33−33−3000000000000000
χ5122-2-22-12-1-12-12-1-122-12-1-1-2-12-1-1-2-2222-1-122-1-1-1-1-12-1-111-2-21111-2-2-12-1-111-2-21111-1-122-1-1-1-11-21111-2-21111003−3003−3−333−3003−3−33000000000000000
χ5222-2-22-12-1-12-12-1-122-12-1-1-2-12-1-1-2-2222-1-122-1-1-1-1-12-1-111-2-21111-2-2-12-1-111-2-21111-1-122-1-1-1-11-21111-2-2111100−3300−333−3−3300−333−3000000000000000
χ5322-2-22-12-1-12-12-1-12-2-12-1-12-12-1-1-2-22-2-2-1-122-1-1-1-1-12-1-111-2-21111221-21111-2-2111111-2-21111-12-1-1-1-122-1-1-1-1003−3003−3−33−3300−333−3000000000000000
χ5422-2-22-12-1-12-12-1-12-2-12-1-12-12-1-1-2-22-2-2-1-122-1-1-1-1-12-1-111-2-21111221-21111-2-2111111-2-21111-12-1-1-1-122-1-1-1-100−3300−333−33−3003−3−33000000000000000
χ5522-2-22-1-12-12-1-12-122-1-12-1-2-1-12-1-2-2222-1-1-1-122-1-1-1-12-11111-2-211-2-2-1-12-11111-2-211-1-1-1-122-1-111-211111-2-211003−3−33003−33−3−33003−3000000000000000
χ5622-2-22-1-12-12-1-12-122-1-12-1-2-1-12-1-2-2222-1-1-1-122-1-1-1-12-11111-2-211-2-2-1-12-11111-2-211-1-1-1-122-1-111-211111-2-21100−333−300−33−333−300−33000000000000000
χ5722-2-22-1-12-12-1-12-12-2-1-12-12-1-12-1-2-22-2-2-1-1-1-122-1-1-1-12-11111-2-2112211-211111-2-2111111-2-211-1-12-1-1-1-1-122-1-1003−3−33003−3−333−300−33000000000000000
χ5822-2-22-1-12-12-1-12-12-2-1-12-12-1-12-1-2-22-2-2-1-1-1-122-1-1-1-12-11111-2-2112211-211111-2-2111111-2-211-1-12-1-1-1-1-122-1-100−333−300−333−3−33003−3000000000000000
χ5922-2-22-1-1-122-1-1-1222-1-1-12-2-1-1-12-2-2222-1-1-1-1-1-122-1-1-12111111-2-2-2-2-1-1-12111111-2-2-1-1-1-1-1-122111-2111111-2-2003−33−3−33003−33−3−3300000000000000000
χ6022-2-22-1-1-122-1-1-1222-1-1-12-2-1-1-12-2-2222-1-1-1-1-1-122-1-1-12111111-2-2-2-2-1-1-12111111-2-2-1-1-1-1-1-122111-2111111-2-200−33−333−300−33−333−300000000000000000
χ6122-2-22-1-1-122-1-1-122-2-1-1-122-1-1-12-2-22-2-2-1-1-1-1-1-122-1-1-12111111-2-222111-2111111-2-2111111-2-2-1-1-12-1-1-1-1-1-122003−33−3−3300−33−333−300000000000000000
χ6222-2-22-1-1-122-1-1-122-2-1-1-122-1-1-12-2-22-2-2-1-1-1-1-1-122-1-1-12111111-2-222111-2111111-2-2111111-2-2-1-1-12-1-1-1-1-1-12200−33−333−3003−33−3−3300000000000000000
χ63444444-2-2-2-24-2-2-2-24-211144-2-2-2-2-2-2-2-2-2-2111111-211144-2-2-2-2-2-2-2-24-2-2-2-2-2111111-2-21111114-2-2-2-2-2111111000000000000000000000000000000000
χ64444444-2-2-2-24-2-2-2-2-4-2111-44-2-2-2-2-2-222-2-2111111-211144-2-2-2-2-2-222-4222-2-211111122-1-1-1-1-1-1-422222-1-1-1-1-1-1000000000000000000000000000000000
χ6544444-24-2-2-2-24-2-2-241-2114-24-2-2-2-2-2-2-211-2-211111-211-2-244-2-2-2-2-2-2-24-2-211-2-2111111-2-21111-24-2-211-2-21111000000000000000000000000000000000
χ6644444-24-2-2-2-24-2-2-2-41-211-4-24-2-2-2-2-22211-2-211111-211-2-244-2-2-2-2222-42211-2-21111-1-122-1-1-1-12-422-1-122-1-1-1-1000000000000000000000000000000000
χ6744444-2-24-2-2-2-24-2-2411-214-2-24-2-2-2-2-2-21111-2-21111-21-2-2-2-244-2-2-2-2-2-24-21111-2-2111111-2-211-2-24-21111-2-211000000000000000000000000000000000
χ6844444-2-24-2-2-2-24-2-2-411-21-4-2-24-2-2-2-2221111-2-21111-21-2-2-2-244-2-22222-421111-2-211-1-1-1-122-1-122-42-1-1-1-122-1-1000000000000000000000000000000000
χ6944444-2-2-24-2-2-2-24-24111-24-2-2-24-2-2-2-2-2111111-2-2111-2-2-2-2-2-2-244-2-2-2-2-24111111-2-2111111-2-2-2-2-24111111-2-2000000000000000000000000000000000
χ7044444-2-2-24-2-2-2-24-2-4111-2-4-2-2-24-2-2-222111111-2-2111-2-2-2-2-2-2-24422222-4111111-2-2-1-1-1-1-1-122222-4-1-1-1-1-1-122000000000000000000000000000000000
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χ9744-4-44-24-2-2-2-24-2-2-241-211-4-24-2-222-2-2-211-2-211111-21122-4-4222222-24-2-2-1-122-1-1-1-111-2-211112-422-1-122-1-1-1-1000000000000000000000000000000000
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χ10044-4-44-2-24-2-2-2-24-2-2-411-214-2-24-222-2221111-2-21111-212222-4-422-2-222-42-1-1-1-122-1-1-1-1-1-122-1-1-2-24-21111-2-211000000000000000000000000000000000
χ10144-4-44-2-2-24-2-2-2-24-24111-2-4-2-2-2422-2-2-2111111-2-2111-2222222-4-422-2-2-24-1-1-1-1-1-122111111-2-2222-4-1-1-1-1-1-122000000000000000000000000000000000
χ10244-4-44-2-2-24-2-2-2-24-2-4111-24-2-2-2422-222111111-2-2111-2222222-4-4-2-2222-4-1-1-1-1-1-122-1-1-1-1-1-122-2-2-24111111-2-2000000000000000000000000000000000
χ1034-400044444-4-4-4-4-404444000000000000000000-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000002i−2i0
χ1044-400044444-4-4-4-4-404444000000000000000000-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000−2i2i0
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χ1128-8000-4-48-4844-84-80-4-48-400000000000000000044-84000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1158-8000-4-4-488444-8-80-4-4-48000000000000000000444-8000000000000000000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).