Finite Group Databasebeta

← Group #11791659

Character table — Group #11791659

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11111111222222222222222222224444444444444444444444444444444444444444444444444444444444441212121212121212181818182424242424242424242424242424242424242424363636363636
order1222222233444466666666666666366666668888121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424444444444444444412121212121212121212121212121212448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
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
χ5111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111
χ7111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ91-1-11-1-1111111-1-111-1-1-1-1-1-11111-1-1111-1-1-1-11ii−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−iii−i−iii−i−i11-1-11-11-1ii−i−i11-1-1ii−i−i11-1-11-1ii−i−i
χ101-1-11-1-1111111-1-111-1-1-1-1-1-11111-1-1111-1-1-1-11ii−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−iii−i−i−i−iii-1-1111-1-11ii−i−i11-1-1−i−iii-1-111-11−i−iii
χ111-1-11-1-1111111-1-111-1-1-1-1-1-11111-1-1111-1-1-1-11ii−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−i−iiiii−i−i-1-111-111-1−i−iii-1-111ii−i−i11-1-1-11−i−iii
χ121-1-11-1-1111111-1-111-1-1-1-1-1-11111-1-1111-1-1-1-11ii−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−i−iii−i−iii11-1-1-11-11−i−iii-1-111−i−iii-1-1111-1ii−i−i
χ131-1-11-1-1111111-1-111-1-1-1-1-1-11111-1-1111-1-1-1-11−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−iiiiiiiiiiiiiiiiiii−i−iii−i−i11-1-1-11-11ii−i−i-1-111ii−i−i-1-1111-1−i−iii
χ141-1-11-1-1111111-1-111-1-1-1-1-1-11111-1-1111-1-1-1-11−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−iiiiiiiiiiiiiiiiiii−i−i−i−iii-1-111-111-1ii−i−i-1-111−i−iii11-1-1-11ii−i−i
χ151-1-11-1-1111111-1-111-1-1-1-1-1-11111-1-1111-1-1-1-11−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−i−iiiii−i−i-1-1111-1-11−i−iii11-1-1ii−i−i-1-111-11ii−i−i
χ161-1-11-1-1111111-1-111-1-1-1-1-1-11111-1-1111-1-1-1-11−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−i−iii−i−iii11-1-11-11-1−i−iii11-1-1−i−iii11-1-11-1−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
χ19222222222-122222-1222-1-1-12-12-12-1-1-1-1-1-1-1-1-1222222-1-12-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000022220000002200000000-1-1-1-1-1-1-1-1000000
χ20222222222-122222-1222-1-1-12-12-12-1-1-1-1-1-1-1-1-1222222-1-12-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000-2-20000000011111111000000
χ21222222222-122222-1222-1-1-12-12-12-1-1-1-1-1-1-1-1-1-2-2-2-222-1-12-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-211111111111100002222000000-2-200000000-1-1-1-11111000000
χ22222222222-122222-1222-1-1-12-12-12-1-1-1-1-1-1-1-1-1-2-2-2-222-1-12-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000-2-2-2-200000022000000001111-1-1-1-1000000
χ2322222222-122222-12-1-1-1222-12-12-12-1-1-1-1-1-1-1-12222-1-122-12-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222000000002200-1-1-1-1-1-1-1-100000000000000
χ2422222222-122222-12-1-1-1222-12-12-12-1-1-1-1-1-1-1-12222-1-122-12-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-200000000-2-2001111111100000000000000
χ2522222222-122222-12-1-1-1222-12-12-12-1-1-1-1-1-1-1-1-2-2-2-2-1-122-12-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-211111111222200000000-2-200-1-1-1-1111100000000000000
χ2622222222-122222-12-1-1-1222-12-12-12-1-1-1-1-1-1-1-1-2-2-2-2-1-122-12-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-211111111-2-2-2-20000000022001111-1-1-1-100000000000000
χ2722-222-2-2-2222-22-2-2-222-22-2-222-2-2-222-2-222-2-2200002-22-22222-2-222-2-2-2-20000000000000000000000000000000000002-22-200000000000000002-22-20000000000
χ2822-222-2-2-2222-22-2-2-222-22-2-222-2-2-222-2-222-2-2200002-22-22222-2-222-2-2-2-2000000000000000000000000000000000000-22-220000000000000000-22-220000000000
χ2922-222-2-2-222-22-22-2-222-22-2-222-2-2-222-2-222-2-220000-22-22-2-2-2-222-2-22222000000000000000000000000000000002i−2i2i−2i0000000000002i−2i2i−2i000000000000000000
χ3022-222-2-2-222-22-22-2-222-22-2-222-2-2-222-2-222-2-220000-22-22-2-2-2-222-2-2222200000000000000000000000000000000−2i2i−2i2i000000000000−2i2i−2i2i000000000000000000
χ3122-222-2-2-22-12-22-2-2122-2-1112-1-21-2-1-111-1-111-100002-2-112-1-1-111-1-1-2111000033−3−33333−3−3−3−3000033−3−33333−3−3−3−300002-22-20000000000000000-11-113−33−3000000
χ3222-222-2-2-22-12-22-2-2122-2-1112-1-21-2-1-111-1-111-100002-2-112-1-1-111-1-1-2111000033−3−33333−3−3−3−3000033−3−33333−3−3−3−30000-22-2200000000000000001-11-1−33−33000000
χ3322-222-2-2-22-12-22-2-2122-2-1112-1-21-2-1-111-1-111-100002-2-112-1-1-111-1-1-21110000−3−333−3−3−3−333330000−3−333−3−3−3−3333300002-22-20000000000000000-11-11−33−33000000
χ3422-222-2-2-22-12-22-2-2122-2-1112-1-21-2-1-111-1-111-100002-2-112-1-1-111-1-1-21110000−3−333−3−3−3−333330000−3−333−3−3−3−333330000-22-2200000000000000001-11-13−33−3000000
χ3522-222-2-2-2-12-22-221-2-1-112-2-2-121-212-111-1-111-100001-1-221-211-1-111-12-1-1−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i32i−2i2i−2i000000000000−ii−ii3−33−300000000000000
χ3622-222-2-2-2-12-22-221-2-1-112-2-2-121-212-111-1-111-100001-1-221-211-1-111-12-1-1−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3−2i2i−2i2i000000000000i−ii−i−33−3300000000000000
χ3722-222-2-2-2-12-22-221-2-1-112-2-2-121-212-111-1-111-100001-1-221-211-1-111-12-1-1i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i32i−2i2i−2i000000000000−ii−ii−33−3300000000000000
χ3822-222-2-2-2-12-22-221-2-1-112-2-2-121-212-111-1-111-100001-1-221-211-1-111-12-1-1i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3−2i2i−2i2i000000000000i−ii−i3−33−300000000000000
χ3922-2-2-222-22200002-22-2-222-2-2-2-222-222-22-22-2-2−i2i2−i2i20000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000002i−2i2i−2i00000000000000000000002−22−2
χ4022-2-2-222-22200002-22-2-222-2-2-2-222-222-22-22-2-2−i2i2−i2i20000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000−2i2i−2i2i0000000000000000000000−22−22
χ4122-2-2-222-22200002-22-2-222-2-2-2-222-222-22-22-2-2i2−i2i2−i20000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000002i−2i2i−2i0000000000000000000000−22−22
χ4222-2-2-222-22200002-22-2-222-2-2-2-222-222-22-22-2-2i2−i2i2−i20000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000−2i2i−2i2i00000000000000000000002−22−2
χ432-222-22-2-2222-2-22-2-2-2-22-22222-2-22-22-2-2-2-222200002-22-2-2-222-2-2-2-222220000000000000000000000000000000000002i−2i−2i2i00000000000000002i−2i−2i2i0000000000
χ442-222-22-2-2222-2-22-2-2-2-22-22222-2-22-22-2-2-2-222200002-22-2-2-222-2-2-2-22222000000000000000000000000000000000000−2i2i2i−2i0000000000000000−2i2i2i−2i0000000000
χ452-222-22-2-222-222-2-2-2-2-22-22222-2-22-22-2-2-2-22220000-22-2222-2-22222-2-2-2-2000000000000000000000000000000002-2-220000000000002-2-22000000000000000000
χ462-222-22-2-222-222-2-2-2-2-22-22222-2-22-22-2-2-2-22220000-22-2222-2-22222-2-2-2-200000000000000000000000000000000-222-2000000000000-222-2000000000000000000
χ472-222-22-2-22-12-2-22-21-2-221-1-12-1-2121-11111-1-1-100002-2-11-21-1-111112-1-1-10000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i30000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i300002i−2i−2i2i0000000000000000−iii−i−333−3000000
χ482-222-22-2-22-12-2-22-21-2-221-1-12-1-2121-11111-1-1-100002-2-11-21-1-111112-1-1-10000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i30000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i30000−2i2i2i−2i0000000000000000i−i−ii3−3−33000000
χ492-222-22-2-22-12-2-22-21-2-221-1-12-1-2121-11111-1-1-100002-2-11-21-1-111112-1-1-10000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i30000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i300002i−2i−2i2i0000000000000000−iii−i3−3−33000000
χ502-222-22-2-22-12-2-22-21-2-221-1-12-1-2121-11111-1-1-100002-2-11-21-1-111112-1-1-10000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i30000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i30000−2i2i2i−2i0000000000000000i−i−ii−333−3000000
χ512-222-22-2-2-12-222-21-211-1-222-121-2-1-2-11111-1-1-100001-1-22-1211-1-1-1-11-21133−3−3000033−3−333−3−3−3−3330000−3−333−3−3332-2-22000000000000-111-1−333−300000000000000
χ522-222-22-2-2-12-222-21-211-1-222-121-2-1-2-11111-1-1-100001-1-22-1211-1-1-1-11-21133−3−3000033−3−333−3−3−3−3330000−3−333−3−333-222-20000000000001-1-113−3−3300000000000000
χ532-222-22-2-2-12-222-21-211-1-222-121-2-1-2-11111-1-1-100001-1-22-1211-1-1-1-11-211−3−3330000−3−333−3−33333−3−3000033−3−333−3−32-2-22000000000000-111-13−3−3300000000000000
χ542-222-22-2-2-12-222-21-211-1-222-121-2-1-2-11111-1-1-100001-1-22-1211-1-1-1-11-211−3−3330000−3−333−3−33333−3−3000033−3−333−3−3-222-20000000000001-1-11−333−300000000000000
χ552-22-22-22-22200002-2-222-2-22-2-2-22-2222-2-22-22-22−2−2200000000000000002−22−22−22−22−22−22−22−2−22−22−22−22−22−22−22−22000000002i−2i−2i2i0000000000000000000000i2−i2−i2i2
χ562-22-22-22-22200002-2-222-2-22-2-2-22-2222-2-22-22-22−2−2200000000000000002−22−22−22−22−22−22−22−2−22−22−22−22−22−22−22−2200000000−2i2i2i−2i0000000000000000000000−i2i2i2−i2
χ572-22-22-22-22200002-2-222-2-22-2-2-22-2222-2-22-22-2−222−20000000000000000−22−22−22−22−22−22−22−222−22−22−22−22−22−22−22−2000000002i−2i−2i2i0000000000000000000000−i2i2i2−i2
χ582-22-22-22-22200002-2-222-2-22-2-2-22-2222-2-22-22-2−222−20000000000000000−22−22−22−22−22−22−22−222−22−22−22−22−22−22−22−200000000−2i2i2i−2i0000000000000000000000i2−i2−i2i2
χ592-2-22-2-22222-2-22222-2-2-2-2-2-22222-2-2222-2-2-2-220000-2-2-2-222-2-2-2-2222222000000000000000000000000000000000000000022-2-200000000000000000000-220000
χ602-2-22-2-22222-2-22222-2-2-2-2-2-22222-2-2222-2-2-2-220000-2-2-2-222-2-2-2-22222220000000000000000000000000000000000000000-2-222000000000000000000002-20000
χ612-2-22-2-2222-122-2-22-1-2-2-21112-12-1-21-1-1-11111-12i2i−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−2iiiiiiiiiiiii00002i2i−2i−2i0000002-200000000−i−iii-1-111000000
χ622-2-22-2-2222-122-2-22-1-2-2-21112-12-1-21-1-1-11111-12i2i−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−2iiiiiiiiiiiii0000−2i−2i2i2i000000-2200000000ii−i−i11-1-1000000
χ632-2-22-2-2222-122-2-22-1-2-2-21112-12-1-21-1-1-11111-1−2i−2i2i2i22-1-1-21-1-1-1-111-2111−2i−2i−2i−2iiiiiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i00002i2i−2i−2i000000-2200000000−i−iii11-1-1000000
χ642-2-22-2-2222-122-2-22-1-2-2-21112-12-1-21-1-1-11111-1−2i−2i2i2i22-1-1-21-1-1-1-111-2111−2i−2i−2i−2iiiiiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i0000−2i−2i2i2i0000002-200000000ii−i−i-1-111000000
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χ1254-4-4-444-44-2-200002-22-222-2222-22-2-21-11-111-1-10000000000−3i3i−3i3i3i−3i003i−3ii6−i6−i6i66−6−66−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−i6i6i6−i6−666−6ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000000000000000000000000000000000
χ1264-4-4-444-44-2-200002-22-222-2222-22-2-21-11-111-1-10000000000−3i3i−3i3i3i−3i003i−3i−i6i6i6−i6−666−6ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13i6−i6−i6i66−6−66−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000000000000000000000000000000000

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