Finite Group Databasebeta

← Group #11797823

Character table — Group #11797823

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11112222222222222222222222222244444444444444444444444444444444444444444444444444444444442424242424242424242424242424242424242424242424243636363636363636
order1222334444446666668888121212121212121236668812121212121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424222244446666666612121212121212121616161616161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ8111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ911-1-111ii−i−i1-111-1-1-1-111-1-1iiii−i−i−i−i11-1-1i−iii−i−iiiii−i−i−i−i11-1-111-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-1i−ii−i11-1-111-1-1ii−i−iii−i−i11-1-1ii−i−i
χ1011-1-111ii−i−i1-111-1-1-1-111-1-1iiii−i−i−i−i11-1-1i−iii−i−iiiii−i−i−i−i11-1-111-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1-11i−i−ii11-1-1-1-111ii−i−i−i−iii-1-111−i−iii
χ1111-1-111ii−i−i1-111-1-1-1-111-1-1iiii−i−i−i−i11-1-1i−iii−i−iiiii−i−i−i−i11-1-111-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-111-1−iii−i-1-11111-1-1−i−iiiii−i−i-1-111−i−iii
χ1211-1-111ii−i−i1-111-1-1-1-111-1-1iiii−i−i−i−i11-1-1i−iii−i−iiiii−i−i−i−i11-1-111-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11−ii−ii-1-111-1-111−i−iii−i−iii11-1-1ii−i−i
χ1311-1-111−i−iii1-111-1-1-1-111-1-1−i−i−i−iiiii11-1-1−ii−i−iii−i−i−i−iiiii11-1-111-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-1−ii−ii11-1-111-1-1−i−iii−i−iii11-1-1−i−iii
χ1411-1-111−i−iii1-111-1-1-1-111-1-1−i−i−i−iiiii11-1-1−ii−i−iii−i−i−i−iiiii11-1-111-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1-11−iii−i11-1-1-1-111−i−iiiii−i−i-1-111ii−i−i
χ1511-1-111−i−iii1-111-1-1-1-111-1-1−i−i−i−iiiii11-1-1−ii−i−iii−i−i−i−iiiii11-1-111-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-111-1i−i−ii-1-11111-1-1ii−i−i−i−iii-1-111ii−i−i
χ1611-1-111−i−iii1-111-1-1-1-111-1-1−i−i−i−iiiii11-1-1−ii−i−iii−i−i−i−iiiii11-1-111-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-11i−ii−i-1-111-1-111ii−i−iii−i−i11-1-1−i−iii
χ17222222222222222222-2-2-2-2222222222222-2-222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000
χ182222222-22-2-2-2222222000022-2-222-2-22222002-22-222-2-222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000002−22−22−22−2
χ192222222-22-2-2-2222222000022-2-222-2-22222002-22-222-2-222-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000−22−22−22−22
χ20222222-22-22-2-22222220000-2-222-2-222222200-22-22-2-222-2-222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000002−22−2−22−22
χ21222222-22-22-2-22222220000-2-222-2-222222200-22-22-2-222-2-222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000−22−222−22−2
χ22222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222222200000000000000000000000000000000
χ2322222-12222222-12-12-1222222-1-122-1-1-1-1-1-122-12-12-1-1-1-1-1-1-1-12-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1002200220000-1-1-1-10000-1-1-1-100000000
χ2422222-12222222-12-12-1222222-1-122-1-1-1-1-1-122-12-12-1-1-1-1-1-1-1-12-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100-2-200-2-2000011110000111100000000
χ2522222-12222222-12-12-1-2-2-2-222-1-122-1-1-1-1-1-1-2-2-12-12-1-1-1-1-1-1-1-12-12-1-1-1-1-1-2-2111111-2-2111111-2-2111111-2-2111111000000000000−i3i3−i3i30000−i3i3−i3i300000000
χ2622222-12222222-12-12-1-2-2-2-222-1-122-1-1-1-1-1-1-2-2-12-12-1-1-1-1-1-1-1-12-12-1-1-1-1-1-2-2111111-2-2111111-2-2111111-2-2111111000000000000i3−i3i3−i30000i3−i3i3−i300000000
χ2722222-1-2-2-2-2222-12-12-12222-2-211-2-211-1-1-1-1-2-21-21-2111111112-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111002200-2-20000-1-1-1-10000111100000000
χ2822222-1-2-2-2-2222-12-12-12222-2-211-2-211-1-1-1-1-2-21-21-2111111112-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-211111100-2-20022000011110000-1-1-1-100000000
χ2922222-1-2-2-2-2222-12-12-1-2-2-2-2-2-211-2-211-1-1-1-1221-21-2111111112-12-1-1-1-1-1-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1000000000000−i3i3−i3i30000i3−i3i3−i300000000
χ3022222-1-2-2-2-2222-12-12-1-2-2-2-2-2-211-2-211-1-1-1-1221-21-2111111112-12-1-1-1-1-1-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1000000000000i3−i3i3−i30000−i3i3−i3i300000000
χ312222-12222222-12-12-122222-1-122-1-122-1-1-1-1222-12-1-1-1-1-1-1-1-1-1-12-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-122002200-1-1-1-10000-1-1-1-1000000000000
χ322222-12222222-12-12-122222-1-122-1-122-1-1-1-1222-12-1-1-1-1-1-1-1-1-1-12-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-200-2-200111100001111000000000000
χ332222-12222222-12-12-12-2-2-2-2-1-122-1-122-1-1-1-1-2-22-12-1-1-1-1-1-1-1-1-1-12-12-1-1-1-111-2-2111111-2-2111111-2-2111111-2-2111100000000−i3i3−i3i30000−i3i3−i3i3000000000000
χ342222-12222222-12-12-12-2-2-2-2-1-122-1-122-1-1-1-1-2-22-12-1-1-1-1-1-1-1-1-1-12-12-1-1-1-111-2-2111111-2-2111111-2-2111111-2-2111100000000i3−i3i3−i30000i3−i3i3−i3000000000000
χ352222-12-2-2-2-222-12-12-12222211-2-211-2-2-1-1-1-1-2-2-21-2111111111-12-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-211112200-2-200-1-1-1-100001111000000000000
χ362222-12-2-2-2-222-12-12-12222211-2-211-2-2-1-1-1-1-2-2-21-2111111111-12-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-21111-2-200220011110000-1-1-1-1000000000000
χ372222-12-2-2-2-222-12-12-12-2-2-2-211-2-211-2-2-1-1-1-122-21-2111111111-12-12-1-1-1-111-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-100000000−i3i3−i3i30000i3−i3i3−i3000000000000
χ382222-12-2-2-2-222-12-12-12-2-2-2-211-2-211-2-2-1-1-1-122-21-2111111111-12-12-1-1-1-111-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-100000000i3−i3i3−i30000−i3i3−i3i3000000000000
χ3922-2-2222i2i−2i−2i2-222-2-2-2-2-2-2222i2i2i2i−2i−2i−2i−2i22-2-2−2i2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i22-2-222-2-2-2-2-2-2-2-2-2-222222222−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i00000000000000000000000000000000
χ4022-2-2222i−2i−2i2i-2222-2-2-2-200002i2i−2i−2i−2i−2i2i2i22-2-2002i−2i−2i2i2i2i−2i−2i−2i−2i2i2i-2-222-2-222000000000000000000000000000000000000000000000000000000002−2−22i2−i2−i2i2
χ4122-2-2222i−2i−2i2i-2222-2-2-2-200002i2i−2i−2i−2i−2i2i2i22-2-2002i−2i−2i2i2i2i−2i−2i−2i−2i2i2i-2-222-2-22200000000000000000000000000000000000000000000000000000000−222−2−i2i2i2−i2
χ4222-2-222−2i2i2i−2i-2222-2-2-2-20000−2i−2i2i2i2i2i−2i−2i22-2-200−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i-2-222-2-222000000000000000000000000000000000000000000000000000000002−2−22−i2i2i2−i2
χ4322-2-222−2i2i2i−2i-2222-2-2-2-20000−2i−2i2i2i2i2i−2i−2i22-2-200−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i-2-222-2-22200000000000000000000000000000000000000000000000000000000−222−2i2−i2−i2i2
χ4422-2-222−2i−2i2i2i2-222-2-2-2-2-2-222−2i−2i−2i−2i2i2i2i2i22-2-22i−2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i22-2-222-2-2-2-2-2-2-2-2-2-2222222222i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i00000000000000000000000000000000
χ4522-2-22-12i2i−2i−2i2-22-1-21-2122-2-22i2i−i−i−2i−2iii-1-1112i−2i−i2ii−2i−i−i−i−iiiii2-1-21-1-11122-1-1-1-1-1-1-2-21111112i2i−i−i−i−i−i−i−2i−2iiiiiii002-2002i−2i0000-1-1110000−i−iii00000000
χ4622-2-22-12i2i−2i−2i2-22-1-21-2122-2-22i2i−i−i−2i−2iii-1-1112i−2i−i2ii−2i−i−i−i−iiiii2-1-21-1-11122-1-1-1-1-1-1-2-21111112i2i−i−i−i−i−i−i−2i−2iiiiiii00-2200−2i2i000011-1-10000ii−i−i00000000
χ4722-2-22-12i2i−2i−2i2-22-1-21-21-2-2222i2i−i−i−2i−2iii-1-111−2i2i−i2ii−2i−i−i−i−iiiii2-1-21-1-111-2-211111122-1-1-1-1-1-1−2i−2iiiiiii2i2i−i−i−i−i−i−i000000000000−i3i3i3−i300003−3−3300000000
χ4822-2-22-12i2i−2i−2i2-22-1-21-21-2-2222i2i−i−i−2i−2iii-1-111−2i2i−i2ii−2i−i−i−i−iiiii2-1-21-1-111-2-211111122-1-1-1-1-1-1−2i−2iiiiiii2i2i−i−i−i−i−i−i000000000000i3−i3−i3i30000−333−300000000
χ4922-2-22-1−2i−2i2i2i2-22-1-21-2122-2-2−2i−2iii2i2i−i−i-1-111−2i2ii−2i−i2iiiii−i−i−i−i2-1-21-1-11122-1-1-1-1-1-1-2-2111111−2i−2iiiiiii2i2i−i−i−i−i−i−i002-200−2i2i0000-1-1110000ii−i−i00000000
χ5022-2-22-1−2i−2i2i2i2-22-1-21-2122-2-2−2i−2iii2i2i−i−i-1-111−2i2ii−2i−i2iiiii−i−i−i−i2-1-21-1-11122-1-1-1-1-1-1-2-2111111−2i−2iiiiiii2i2i−i−i−i−i−i−i00-22002i−2i000011-1-10000−i−iii00000000
χ5122-2-22-1−2i−2i2i2i2-22-1-21-21-2-222−2i−2iii2i2i−i−i-1-1112i−2ii−2i−i2iiiii−i−i−i−i2-1-21-1-111-2-211111122-1-1-1-1-1-12i2i−i−i−i−i−i−i−2i−2iiiiiii000000000000−i3i3i3−i30000−333−300000000
χ5222-2-22-1−2i−2i2i2i2-22-1-21-21-2-222−2i−2iii2i2i−i−i-1-1112i−2ii−2i−i2iiiii−i−i−i−i2-1-21-1-111-2-211111122-1-1-1-1-1-12i2i−i−i−i−i−i−i−2i−2iiiiiii000000000000i3−i3−i3i300003−3−3300000000
χ5322-2-2-122i2i−2i−2i2-2-121-21-222-2-2−i−i2i2iii−2i−2i-1-1112i−2i2i−i−2ii−i−i−i−iiiii-121-2-1-111-1-122-1-1-1-111-2-21111−i−i2i2i−i−i−i−iii−2i−2iiiii2-2002i−2i00-1-1110000−i−iii000000000000
χ5422-2-2-122i2i−2i−2i2-2-121-21-222-2-2−i−i2i2iii−2i−2i-1-1112i−2i2i−i−2ii−i−i−i−iiiii-121-2-1-111-1-122-1-1-1-111-2-21111−i−i2i2i−i−i−i−iii−2i−2iiiii-2200−2i2i0011-1-10000ii−i−i000000000000
χ5522-2-2-122i2i−2i−2i2-2-121-21-2-2-222−i−i2i2iii−2i−2i-1-111−2i2i2i−i−2ii−i−i−i−iiiii-121-2-1-11111-2-21111-1-122-1-1-1-1ii−2i−2iiiii−i−i2i2i−i−i−i−i00000000−i3i3i3−i300003−3−33000000000000
χ5622-2-2-122i2i−2i−2i2-2-121-21-2-2-222−i−i2i2iii−2i−2i-1-111−2i2i2i−i−2ii−i−i−i−iiiii-121-2-1-11111-2-21111-1-122-1-1-1-1ii−2i−2iiiii−i−i2i2i−i−i−i−i00000000i3−i3−i3i30000−333−3000000000000
χ5722-2-2-12−2i−2i2i2i2-2-121-21-222-2-2ii−2i−2i−i−i2i2i-1-111−2i2i−2ii2i−iiiii−i−i−i−i-121-2-1-111-1-122-1-1-1-111-2-21111ii−2i−2iiiii−i−i2i2i−i−i−i−i2-200−2i2i00-1-1110000ii−i−i000000000000
χ5822-2-2-12−2i−2i2i2i2-2-121-21-222-2-2ii−2i−2i−i−i2i2i-1-111−2i2i−2ii2i−iiiii−i−i−i−i-121-2-1-111-1-122-1-1-1-111-2-21111ii−2i−2iiiii−i−i2i2i−i−i−i−i-22002i−2i0011-1-10000−i−iii000000000000
χ5922-2-2-12−2i−2i2i2i2-2-121-21-2-2-222ii−2i−2i−i−i2i2i-1-1112i−2i−2ii2i−iiiii−i−i−i−i-121-2-1-11111-2-21111-1-122-1-1-1-1−i−i2i2i−i−i−i−iii−2i−2iiiii00000000−i3i3i3−i30000−333−3000000000000
χ6022-2-2-12−2i−2i2i2i2-2-121-21-2-2-222ii−2i−2i−i−i2i2i-1-1112i−2i−2ii2i−iiiii−i−i−i−i-121-2-1-11111-2-21111-1-122-1-1-1-1−i−i2i2i−i−i−i−iii−2i−2iiiii00000000i3−i3−i3i300003−3−33000000000000
χ6144444-24-44-4-4-44-24-24-2000044224422-2-2-2-200-2-4-2-4-2-222-2-222-42-4222220000000000000000000000000000000000000000000000000000000000000000
χ6244444-2-44-44-4-44-24-24-20000-4-4-2-2-4-4-2-2-2-2-2-200242422-2-222-2-2-42-4222220000000000000000000000000000000000000000000000000000000000000000
χ634444-244-44-4-4-4-24-24-240000-2-2-4-4-2-2-4-4-2-2-2-2004242-2-222-2-2222-42-422220000000000000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.