Finite Group Databasebeta

← Group #11784742

Character table — Group #11784742

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11111111222222222222222222224444444444444444444444444444444444444444444444444444444444441212121212121212181818182424242424242424242424242424242424242424363636363636
order1222222233444466666666666666366666668888121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424444444442222444412121212121212121212121212121212448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-11111
χ8111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ9111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11ii−i−i1111-1-11111-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11-1-111-1-111-1-1i−ii−iii−i−iii−i−i11-1-111-1-11-1ii−i−i
χ10111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11ii−i−i1111-1-11111-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11-1-1-1-111-1-111i−i−iiii−i−i−i−iii11-1-1-1-111-11−i−iii
χ11111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11ii−i−i1111-1-11111-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-11111-1-1-1-111−iii−i−i−iiiii−i−i-1-11111-1-1-11−i−iii
χ12111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11ii−i−i1111-1-11111-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-111-1-11111-1-1−ii−ii−i−iii−i−iii-1-111-1-1111-1ii−i−i
χ13111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11−i−iii1111-1-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii11-1-111-1-111-1-1−ii−ii−i−iii−i−iii11-1-111-1-11-1−i−iii
χ14111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11−i−iii1111-1-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii11-1-1-1-111-1-111−iii−i−i−iiiii−i−i11-1-1-1-111-11ii−i−i
χ15111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11−i−iii1111-1-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-11111-1-1-1-111i−i−iiii−i−i−i−iii-1-11111-1-1-11ii−i−i
χ16111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11−i−iii1111-1-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-111-1-11111-1-1i−ii−iii−i−iii−i−i-1-111-1-1111-1−i−iii
χ172222222222-2-2-2-222222222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000222200000000000000000000-2-20000
χ182222222222-2-2-2-222222222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000-2-2-2-200000000000000000000220000
χ19222222222-1222222-1-1222-1-1-12-12-1-1-1-1-1-1-1-1-1222222-1-12-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100002222000000220000-1-1-1-10000-1-1-1-1000000
χ20222222222-1222222-1-1222-1-1-12-12-1-1-1-1-1-1-1-1-1222222-1-12-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000-2-20000111100001111000000
χ21222222222-1222222-1-1222-1-1-12-12-1-1-1-1-1-1-1-1-1-2-2-2-222-1-12-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-211111111111100002222000000-2-2000011110000-1-1-1-1000000
χ22222222222-1222222-1-1222-1-1-12-12-1-1-1-1-1-1-1-1-1-2-2-2-222-1-12-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000-2-2-2-2000000220000-1-1-1-100001111000000
χ2322222222-122222-1-122-1-1-1222-12-12-1-1-1-1-1-1-1-12222-1-122-12-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222000000002200-1-1-1-10000-1-1-1-10000000000
χ2422222222-122222-1-122-1-1-1222-12-12-1-1-1-1-1-1-1-12222-1-122-12-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-200000000-2-2001111000011110000000000
χ2522222222-122222-1-122-1-1-1222-12-12-1-1-1-1-1-1-1-1-2-2-2-2-1-122-12-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-211111111222200000000-2-20011110000-1-1-1-10000000000
χ2622222222-122222-1-122-1-1-1222-12-12-1-1-1-1-1-1-1-1-2-2-2-2-1-122-12-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-211111111-2-2-2-2000000002200-1-1-1-1000011110000000000
χ27222-2-2-2-2222-2-2222222-2-2-2-2-2-2-2-222222-2-2-2-220000-2-2-2-222-2-2-2-2222222000000000000000000000000000000000000000022-2-200000000000000000000-220000
χ28222-2-2-2-2222-2-2222222-2-2-2-2-2-2-2-222222-2-2-2-220000-2-2-2-222-2-2-2-22222220000000000000000000000000000000000000000-2-222000000000000000000002-20000
χ29222-2-2-2-222-122-2-222-1-1-2-2-2111-212-1-1-1-11111-12i2i−2i−2i22-1-1-21-1-1-1-111-21112i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiiiiiii000022-2-20000002i−2i0000−i−iii0000-1-111000000
χ30222-2-2-2-222-122-2-222-1-1-2-2-2111-212-1-1-1-11111-12i2i−2i−2i22-1-1-21-1-1-1-111-21112i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiiiiiii0000-2-222000000−2i2i0000ii−i−i000011-1-1000000
χ31222-2-2-2-222-122-2-222-1-1-2-2-2111-212-1-1-1-11111-1−2i−2i2i2i22-1-1-21-1-1-1-111-2111−2i−2i−2i−2iiiiiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i000022-2-2000000−2i2i0000ii−i−i0000-1-111000000
χ32222-2-2-2-222-122-2-222-1-1-2-2-2111-212-1-1-1-11111-1−2i−2i2i2i22-1-1-21-1-1-1-111-2111−2i−2i−2i−2iiiiiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i0000-2-2220000002i−2i0000−i−iii000011-1-1000000
χ33222-2-2-2-22-1222-2-2-1-122111-2-2-21-2-12-1-1-11111-12i2i−2i−2i-1-1221-2-1-1-1-1111-211−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−iiiii−2i−2i−2i−2iiiiiiiii22-2-2000000002i−2i00−i−iii0000-1-1110000000000
χ34222-2-2-2-22-1222-2-2-1-122111-2-2-21-2-12-1-1-11111-12i2i−2i−2i-1-1221-2-1-1-1-1111-211−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−iiiii−2i−2i−2i−2iiiiiiiii-2-22200000000−2i2i00ii−i−i000011-1-10000000000
χ35222-2-2-2-22-1222-2-2-1-122111-2-2-21-2-12-1-1-11111-1−2i−2i2i2i-1-1221-2-1-1-1-1111-211iiii−2i−2i−2i−2iiiiiiiii−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i22-2-200000000−2i2i00ii−i−i0000-1-1110000000000
χ36222-2-2-2-22-1222-2-2-1-122111-2-2-21-2-12-1-1-11111-1−2i−2i2i2i-1-1221-2-1-1-1-1111-211iiii−2i−2i−2i−2iiiiiiiii−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i-2-222000000002i−2i00−i−iii000011-1-10000000000
χ3722-222-2-2-22200002-22-222-222-2-2-2-2-222-222-2-2-22−22−2000000000000000022−2−222−2−22222−2−2−2−222−2−222−2−22222−2−2−2−2000000002-22-200000000000000000000002−22−2
χ3822-222-2-2-22200002-22-222-222-2-2-2-2-222-222-2-2-22−22−2000000000000000022−2−222−2−22222−2−2−2−222−2−222−2−22222−2−2−2−200000000-22-220000000000000000000000−22−22
χ3922-222-2-2-22200002-22-222-222-2-2-2-2-222-222-2-2-2−22−220000000000000000−2−222−2−222−2−2−2−22222−2−222−2−222−2−2−2−22222000000002-22-20000000000000000000000−22−22
χ4022-222-2-2-22200002-22-222-222-2-2-2-2-222-222-2-2-2−22−220000000000000000−2−222−2−222−2−2−2−22222−2−222−2−222−2−2−2−2222200000000-22-2200000000000000000000002−22−2
χ4122-2-2-222-22200002-22-2-2-22-2-2222-2-222-2-2-222-2−i2i2i2−i20000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2000000002-2-220000000000000000000000−i2i2i2−i2
χ4222-2-2-222-22200002-22-2-2-22-2-2222-2-222-2-2-222-2−i2i2i2−i20000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i200000000-222-20000000000000000000000i2−i2−i2i2
χ4322-2-2-222-22200002-22-2-2-22-2-2222-2-222-2-2-222-2i2−i2−i2i20000000000000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2000000002-2-220000000000000000000000i2−i2−i2i2
χ4422-2-2-222-22200002-22-2-2-22-2-2222-2-222-2-2-222-2i2−i2−i2i20000000000000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i200000000-222-20000000000000000000000−i2i2i2−i2
χ452-2-22-22-22222-22-2-2-2-2-22-222-2-2-22222-2-22-22-2200002-22-2-2-222-2-2-2-222220000000000000000000000000000000000002-22-2000000000000000000002-22-2000000
χ462-2-22-22-22222-22-2-2-2-2-22-222-2-2-22222-2-22-22-2200002-22-2-2-222-2-2-2-22222000000000000000000000000000000000000-22-2200000000000000000000-22-22000000
χ472-2-22-22-2222-22-22-2-2-2-22-222-2-2-22222-2-22-22-220000-22-2222-2-22222-2-2-2-2000000000000000000000000000000002-22-2000000000000000000002-22-20000000000
χ482-2-22-22-2222-22-22-2-2-2-22-222-2-2-22222-2-22-22-220000-22-2222-2-22222-2-2-2-200000000000000000000000000000000-22-2200000000000000000000-22-220000000000
χ492-2-22-22-222-12-22-2-2-2112-22-111-2-12-1-111-11-11-100002-2-11-21-1-111112-1-1-10000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i30000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i300002-22-2000000000000−i3i3−i3i30000-11-11000000
χ502-2-22-22-222-12-22-2-2-2112-22-111-2-12-1-111-11-11-100002-2-11-21-1-111112-1-1-10000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i30000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i30000-22-22000000000000i3−i3i3−i300001-11-1000000
χ512-2-22-22-222-12-22-2-2-2112-22-111-2-12-1-111-11-11-100002-2-11-21-1-111112-1-1-10000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i30000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i300002-22-2000000000000i3−i3i3−i30000-11-11000000
χ522-2-22-22-222-12-22-2-2-2112-22-111-2-12-1-111-11-11-100002-2-11-21-1-111112-1-1-10000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i30000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i30000-22-22000000000000−i3i3−i3i300001-11-1000000
χ532-2-22-22-22-12-22-2211-2-2-11-12-2-212-12-111-11-11-100001-1-22-1211-1-1-1-11-2113−33−300003−33−33−33−33−33−300003−33−33−33−32-22-20000000000003−33−30000-11-110000000000
χ542-2-22-22-22-12-22-2211-2-2-11-12-2-212-12-111-11-11-100001-1-22-1211-1-1-1-11-2113−33−300003−33−33−33−33−33−300003−33−33−33−3-22-22000000000000−33−3300001-11-10000000000
χ552-2-22-22-22-12-22-2211-2-2-11-12-2-212-12-111-11-11-100001-1-22-1211-1-1-1-11-211−33−330000−33−33−33−33−33−330000−33−33−33−332-22-2000000000000−33−330000-11-110000000000
χ562-2-22-22-22-12-22-2211-2-2-11-12-2-212-12-111-11-11-100001-1-22-1211-1-1-1-11-211−33−330000−33−33−33−33−33−330000−33−33−33−33-22-220000000000003−33−300001-11-10000000000
χ572-2-2-22-222222-2-22-2-2-2-2-22-2-2222-2222-2-2-22-22200002-22-22222-2-222-2-2-2-20000000000000000000000000000000000002-2-22000000000000000000002-2-22000000
χ582-2-2-22-222222-2-22-2-2-2-2-22-2-2222-2222-2-2-22-22200002-22-22222-2-222-2-2-2-2000000000000000000000000000000000000-222-200000000000000000000-222-2000000
χ592-2-2-22-22222-222-2-2-2-2-2-22-2-2222-2222-2-2-22-2220000-22-22-2-2-2-222-2-22222000000000000000000000000000000002-2-22000000000000000000002-2-220000000000
χ602-2-2-22-22222-222-2-2-2-2-2-22-2-2222-2222-2-2-22-2220000-22-22-2-2-2-222-2-2222200000000000000000000000000000000-222-200000000000000000000-222-20000000000
χ612-2-2-22-2222-12-2-22-2-211-22-21-1-1212-1-1111-11-1-100002-2-112-1-1-111-1-1-211100003−33−333−3−333−3−30000−33−33−3−333−3−33300002-2-220000000000003−3−330000-111-1000000
χ622-2-2-22-2222-12-2-22-2-211-22-21-1-1212-1-1111-11-1-100002-2-112-1-1-111-1-1-211100003−33−333−3−333−3−30000−33−33−3−333−3−3330000-222-2000000000000−333−300001-1-11000000
χ632-2-2-22-2222-12-2-22-2-211-22-21-1-1212-1-1111-11-1-100002-2-112-1-1-111-1-1-21110000−33−33−3−333−3−33300003−33−333−3−333−3−300002-2-22000000000000−333−30000-111-1000000
χ642-2-2-22-2222-12-2-22-2-211-22-21-1-1212-1-1111-11-1-100002-2-112-1-1-111-1-1-21110000−33−33−3−333−3−33300003−33−333−3−333−3−30000-222-20000000000003−3−3300001-1-11000000
χ652-2-2-22-222-12-222-211-2-21-11-222-1-2-12-1111-11-1-100001-1-221-211-1-111-12-1-1−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i3i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i32-2-22000000000000−i3i3i3−i30000-111-10000000000
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χ1264-4-4-44-444-2-2-444-422222-222-2-2-22-2-21-1-1-11-11100002-22-222-1-111-1-1-2-2112i3−2i32i3−2i30000−i3i3−i3i3−i3i3−i3i3−2i32i3−2i32i30000i3−i3i3−i3i3−i3i3−i300000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.