Finite Group Databasebeta

← Group #11776357

Character table — Group #11776357

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size1111222222222222222244444444444444444444444444444666666666666668888888888888888812121212121212121212121212121212122424242424242424484872727272
order12223344446666661212121234666888812121212121212121212121224242424242424242244441212121212121212121212121224242424242424242424242446688881212242424242424242444882424242412124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1
χ61111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ71111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-111-1-111
χ81111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1111111-1-111-1-1
χ9111111-1-1-1-1111111-1-1-1-111111ii−i−i-1-111-1-1-1-1-1-1-1-1iiii−i−i−i−i11-1-1111111-1-1-1-1111-1-1iiiiii−i−i−i−i−i−i-111ii−i−i-1-1iiii−i−i−i−i1-1i−iii−i−i1-11-1i−i
χ10111111-1-1-1-1111111-1-1-1-111111ii−i−i-1-111-1-1-1-1-1-1-1-1iiii−i−i−i−i11-1-1111111-1-1-1-1111-1-1iiiiii−i−i−i−i−i−i-111ii−i−i-1-1iiii−i−i−i−i-11−ii−i−iii-11-11−ii
χ11111111-1-1-1-1111111-1-1-1-111111ii−i−i-1-111-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-111-1-1-1-1-1-11111111-1-1iiiiii−i−i−i−i−i−i1-1-1−i−iii11−i−i−i−iiiii1-1i−iii−i−i1-1-11−ii
χ12111111-1-1-1-1111111-1-1-1-111111ii−i−i-1-111-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-111-1-1-1-1-1-11111111-1-1iiiiii−i−i−i−i−i−i1-1-1−i−iii11−i−i−i−iiiii-11−ii−i−iii-111-1i−i
χ13111111-1-1-1-1111111-1-1-1-111111−i−iii-1-111-1-1-1-1-1-1-1-1−i−i−i−iiiii11-1-1111111-1-1-1-1111-1-1−i−i−i−i−i−iiiiiii-111−i−iii-1-1−i−i−i−iiiii1-1−ii−i−iii1-11-1−ii
χ14111111-1-1-1-1111111-1-1-1-111111−i−iii-1-111-1-1-1-1-1-1-1-1−i−i−i−iiiii11-1-1111111-1-1-1-1111-1-1−i−i−i−i−i−iiiiiii-111−i−iii-1-1−i−i−i−iiiii-11i−iii−i−i-11-11i−i
χ15111111-1-1-1-1111111-1-1-1-111111−i−iii-1-111-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-111-1-1-1-1-1-11111111-1-1−i−i−i−i−i−iiiiiii1-1-1ii−i−i11iiii−i−i−i−i1-1−ii−i−iii1-1-11i−i
χ16111111-1-1-1-1111111-1-1-1-111111−i−iii-1-111-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-111-1-1-1-1-1-11111111-1-1−i−i−i−i−i−iiiiiii1-1-1ii−i−i11iiii−i−i−i−i-11i−iii−i−i-111-1−ii
χ172222222-2-22222222-2-2-2-22-222200002-2-2-222-2-2-2-2-22000000002222-2-2-2-2-2-22222-2-2-222000000000000-2220000-2-20000000000000000000000
χ182222222-2-22222222-2-2-2-22-222200002-2-2-222-2-2-2-2-2200000000-2-2-2-2222222-2-2-2-2-2-2-2220000000000002-2-20000220000000000000000000000
χ19222222-222-222222222222-22220000-22-2-2-2-222222-20000000022-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000002220000220000000000000000000000
χ20222222-222-222222222222-22220000-22-2-2-2-222222-200000000-2-2222222222222-2-2-2-2-2000000000000-2-2-20000-2-20000000000000000000000
χ2122222-1222222-1-1-12-1-1-1-1-12-1-1-1222222-1-1-1-1-1-12-1-12-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-122-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-100000000000000
χ2222222-1222222-1-1-12-1-1-1-1-12-1-1-1222222-1-1-1-1-1-12-1-12-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111112-1-1-1-122-1-1-1-122-1-1-1-1-211-2-2-2-2111111111100000000000000
χ2322222-1222222-1-1-12-1-1-1-1-12-1-1-1-2-2-2-222-1-1-1-1-1-12-1-1211111111222222-1-1-1-1-1-1-1-12-1-1-1-1-2-21111-2-211112-1-1-2-2-2-2-1-11111111100000000000000
χ2422222-1222222-1-1-12-1-1-1-1-12-1-1-1-2-2-2-222-1-1-1-1-1-12-1-1211111111-2-2-2-2-2-2111111112-1-1-1-1-2-21111-2-21111-211222211-1-1-1-1-1-1-1-100000000000000
χ2522222-12-2-2222-1-1-121111-1-2-1-1-100002-211-1-111-211233−3−333−3−32222-2-21111-1-1-1-1-211-1-10033−3−30033−3−3-2-1-100001133−3−333−3−300000000000000
χ2622222-12-2-2222-1-1-121111-1-2-1-1-100002-211-1-111-211233−3−333−3−3-2-2-2-222-1-1-1-11111-211-1-10033−3−30033−3−32110000-1-1−3−333−3−33300000000000000
χ2722222-12-2-2222-1-1-121111-1-2-1-1-100002-211-1-111-2112−3−333−3−3332222-2-21111-1-1-1-1-211-1-100−3−33300−3−333-2-1-1000011−3−333−3−33300000000000000
χ2822222-12-2-2222-1-1-121111-1-2-1-1-100002-211-1-111-2112−3−333−3−333-2-2-2-222-1-1-1-11111-211-1-100−3−33300−3−3332110000-1-133−3−333−3−300000000000000
χ2922222-1-222-222-1-1-12-1-1-1-1-1-2-1-1-10000-221111-1-12-1-1-2−i3−i3i3i3i3i3−i3−i322-2-2-2-211111111-2111100−i3−i3i3i300i3i3−i3−i32-1-10000-1-1−i3−i3i3i3i3i3−i3−i300000000000000
χ3022222-1-222-222-1-1-12-1-1-1-1-1-2-1-1-10000-221111-1-12-1-1-2−i3−i3i3i3i3i3−i3−i3-2-22222-1-1-1-1-1-1-1-1-2111100−i3−i3i3i300i3i3−i3−i3-211000011i3i3−i3−i3−i3−i3i3i300000000000000
χ3122222-1-222-222-1-1-12-1-1-1-1-1-2-1-1-10000-221111-1-12-1-1-2i3i3−i3−i3−i3−i3i3i322-2-2-2-211111111-2111100i3i3−i3−i300−i3−i3i3i32-1-10000-1-1i3i3−i3−i3−i3−i3i3i300000000000000
χ3222222-1-222-222-1-1-12-1-1-1-1-1-2-1-1-10000-221111-1-12-1-1-2i3i3−i3−i3−i3−i3i3i3-2-22222-1-1-1-1-1-1-1-1-2111100i3i3−i3−i300−i3−i3i3i3-211000011−i3−i3i3i3i3i3−i3−i300000000000000
χ3322222-1-2-2-2-222-1-1-121111-12-1-1-12i2i−2i−2i-2-2-1-11111-211-2−i−i−i−iiiii22-2-222-1-1-1-111112-1-1112i2i−i−i−i−i−2i−2iiiii-2-1-12i2i−2i−2i11−i−i−i−iiiii00000000000000
χ3422222-1-2-2-2-222-1-1-121111-12-1-1-12i2i−2i−2i-2-2-1-11111-211-2−i−i−i−iiiii-2-222-2-21111-1-1-1-12-1-1112i2i−i−i−i−i−2i−2iiiii211−2i−2i2i2i-1-1iiii−i−i−i−i00000000000000
χ3522222-1-2-2-2-222-1-1-121111-12-1-1-1−2i−2i2i2i-2-2-1-11111-211-2iiii−i−i−i−i22-2-222-1-1-1-111112-1-111−2i−2iiiii2i2i−i−i−i−i-2-1-1−2i−2i2i2i11iiii−i−i−i−i00000000000000
χ3622222-1-2-2-2-222-1-1-121111-12-1-1-1−2i−2i2i2i-2-2-1-11111-211-2iiii−i−i−i−i-2-222-2-21111-1-1-1-12-1-111−2i−2iiiii2i2i−i−i−i−i2112i2i−2i−2i-1-1−i−i−i−iiiii00000000000000
χ372222-122222-1-1222-12222-12-1-1-12222-1-12222-1-1-1-1-1-12222222200000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000002222-1-1-1-1-1-10000
χ382222-122222-1-1222-12222-12-1-1-12222-1-12222-1-1-1-1-1-12222222200000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000-2-2-2-21111110000
χ392222-122222-1-1222-12222-12-1-1-1-2-2-2-2-1-12222-1-1-1-1-1-1-2-2-2-2-2-2-2-200000000000000-1-1-1-1-11111111111110000000000000000022-2-21111-1-10000
χ402222-122222-1-1222-12222-12-1-1-1-2-2-2-2-1-12222-1-1-1-1-1-1-2-2-2-2-2-2-2-200000000000000-1-1-1-1-111111111111100000000000000000-2-222-1-1-1-1110000
χ412222-12-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-12i2i−2i−2i1122-2-21111112i2i2i2i−2i−2i−2i−2i00000000000000-1-1-111−i−i−i−i−i−iiiiiii000000000000000002-22i−2i−i−iii-110000
χ422222-12-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-12i2i−2i−2i1122-2-21111112i2i2i2i−2i−2i−2i−2i00000000000000-1-1-111−i−i−i−i−i−iiiiiii00000000000000000-22−2i2iii−i−i1-10000
χ432222-12-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-1−2i−2i2i2i1122-2-2111111−2i−2i−2i−2i2i2i2i2i00000000000000-1-1-111iiiiii−i−i−i−i−i−i000000000000000002-2−2i2iii−i−i-110000
χ442222-12-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-1−2i−2i2i2i1122-2-2111111−2i−2i−2i−2i2i2i2i2i00000000000000-1-1-111iiiiii−i−i−i−i−i−i00000000000000000-222i−2i−i−iii1-10000
χ4522-2-222200-22-22-2-2-20000202-2-22−22−220002-200000-22−22−22−22−22-22-200000022-2-20002-22−22−22−22−22−22−202-22−22−2002−22−22−22−200000000000000
χ4622-2-222200-22-22-2-2-20000202-2-22−22−220002-200000-22−22−22−22−2-22-22000000-2-2220002-22−22−22−22−22−22−20-22−22−2200−22−22−22−2200000000000000
χ4722-2-222200-22-22-2-2-20000202-2-2−22−2220002-200000-2−22−22−22−222-22-200000022-2-20002-2−22−22−22−22−22−2202-2−22−2200−22−22−22−2200000000000000
χ4822-2-222200-22-22-2-2-20000202-2-2−22−2220002-200000-2−22−22−22−22-22-22000000-2-2220002-2−22−22−22−22−22−220-222−22−2002−22−22−22−200000000000000
χ4922-2-222-20022-22-2-2-20000202-2-2−i2i2i2−i2-2000-22000002−i2i2−i2i2i2−i2i2−i22-2-22000000-2-222000-22−i2i2−i2i2−i2i2i2−i2i2−i2i2−i202-2−i2i2i2−i200−i2i2−i2i2i2−i2i2−i200000000000000
χ5022-2-222-20022-22-2-2-20000202-2-2−i2i2i2−i2-2000-22000002−i2i2−i2i2i2−i2i2−i2-222-200000022-2-2000-22−i2i2−i2i2−i2i2i2−i2i2−i2i2−i20-22i2−i2−i2i200i2−i2i2−i2−i2i2−i2i200000000000000
χ5122-2-222-20022-22-2-2-20000202-2-2i2−i2−i2i2-2000-22000002i2−i2i2−i2−i2i2−i2i22-2-22000000-2-222000-22i2−i2i2−i2i2−i2−i2i2−i2i2−i2i202-2i2−i2−i2i200i2−i2i2−i2−i2i2−i2i200000000000000
χ5222-2-222-20022-22-2-2-20000202-2-2i2−i2−i2i2-2000-22000002i2−i2i2−i2−i2i2−i2i2-222-200000022-2-2000-22i2−i2i2−i2i2−i2−i2i2−i2i2−i2i20-22−i2i2i2−i200−i2i2−i2i2i2−i2i2−i200000000000000
χ5322-2-22-1200-22-2-111-23−33−3-10-1112−22−2203−3-113−303−3-2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232-22-20033−3−3-1-11103−3-112−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230-112−22−23−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000000000000
χ5422-2-22-1200-22-2-111-23−33−3-10-1112−22−2203−3-113−303−3-2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23-22-2200−3−33311-1-103−3-112−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2301-1−22−22−33−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000000000000
χ5522-2-22-1200-22-2-111-23−33−3-10-111−22−22203−3-113−303−3-2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ232-22-20033−3−3-1-11103−3-11−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230-11−22−223−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000000000000
χ5622-2-22-1200-22-2-111-23−33−3-10-111−22−22203−3-113−303−3-2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23-22-2200−3−33311-1-103−3-11−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2301-12−22−2−33ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000000000000
χ5722-2-22-1200-22-2-111-2−33−33-10-1112−22−220−33-11−330−33-2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72-22-200−3−333-1-1110−33-112−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70-112−22−2−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000000000000
χ5822-2-22-1200-22-2-111-2−33−33-10-1112−22−220−33-11−330−33-2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7-22-220033−3−311-1-10−33-112−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ701-1−22−223−3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700000000000000
χ5922-2-22-1200-22-2-111-2−33−33-10-111−22−2220−33-11−330−33-2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ72-22-200−3−333-1-1110−33-11−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70-11−22−22−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700000000000000
χ6022-2-22-1200-22-2-111-2−33−33-10-111−22−2220−33-11−330−33-2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7-22-220033−3−311-1-10−33-11−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ701-12−22−23−3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000000000000
χ6122-2-22-1-20022-2-111-23−33−3-10-111−i2i2i2−i2-20−331-13−303−32ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ232-2-2200−3−33311-1-10−331-1−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230-11−i2i2i2−i23−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000000000
χ6222-2-22-1-20022-2-111-23−33−3-10-111−i2i2i2−i2-20−331-13−303−32ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23-222-20033−3−3-1-1110−331-1−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2301-1i2−i2−i2i2−33−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.