Finite Group Databasebeta

← Group #11784799

Character table — Group #11784799

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222222244444444444444444444444444446666666666668888888888888888121212121212121212121212121212121212121212121212121212121212242424242424363636367272
order12224444223344666666121212121212121222344666666666661212121212121212121212122244666612121212666666661212121212121212222444444466666612121212121212121212121212128824242424444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111-1-11-1-1111-1-1-1-111111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-111-1-1-1-11-1-11-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ61111111111111111111111111111-1-11-1-1111-1-1-1-111111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-111-1-1-1-11-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ71111111111111111111111111111-1-11-1-1111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-111-1111111-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-111
χ81111111111111111111111111111-1-11-1-1111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-111-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111111111-1-1
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-11111111-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-111-1-1-1-1-1111-1-1ii−i−i-1-1111111-1-1-1-1iiii−i−i−i−ii−iii−i−iii−i−ii−i
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-11111111-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-111-1-1-1-1-1111-1-1−i−iii-1-1111111-1-1-1-1−i−i−i−iiiii−ii−i−iii−i−iii−ii
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-11111111-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-111-1-1-1-11-1-1-111ii−i−i11-1-1-1-1-1-11111iiii−i−i−i−ii−iii−i−i−i−iii−ii
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-11111111-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-111-1-1-1-11-1-1-111−i−iii11-1-1-1-1-1-11111−i−i−i−iiiii−ii−i−iiiii−i−ii−i
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1111ii−i−i-1-1-1-1-1-1111111iiii−i−i−i−i−ii−i−iiiii−i−i−ii
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1111−i−iii-1-1-1-1-1-1111111−i−i−i−iiiiii−iii−i−i−i−iiii−i
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1ii−i−i111111-1-1-1-1-1-1iiii−i−i−i−i−ii−i−iii−i−iiii−i
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1−i−iii111111-1-1-1-1-1-1−i−i−i−iiiiii−iii−i−iii−i−i−ii
χ1722222222222-12222-1-12-122-1-1-1-12222-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222220000-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ1822222222222-12222-1-12-122-1-1-1-12222-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2000011111111111100000000000000000000
χ1922222222222-12222-1-12-122-1-1-1-122-2-2-1-2-22-1-11111-1-1-1222-1-11111-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-1-11111-2-2-1-111112-2-22-2-20000-1-11111-1-1111100000000000000000000
χ2022222222222-12222-1-12-122-1-1-1-122-2-2-1-2-22-1-11111-1-1-1222-1-11111-1-1-1-1-2-2-2-211111111-2-2-1-11111-2-2-1-11111-222-222000011-1-1-1-111-1-1-1-100000000000000000000
χ212222222222-1222-1-122-12-1-12222-1-122-122-1222222-1-1-1-1-1-1222222-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000002222000000000000-1-1-1-1-1-1-1-122-1-1-1-1000000
χ222222222222-1222-1-122-12-1-12222-1-122-122-1222222-1-1-1-1-1-1222222-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-200000000000011111111-2-21111000000
χ232222222222-1222-1-122-12-1-12222-1-1-2-2-1-2-2-122-2-2-2-2-1-1-1-1-1-122-2-2-2-2-1-1-1-100000000000011-1-1111111-1-111110000002222000000000000-1-1-1-1-1-1-1-1-2-21111000000
χ242222222222-1222-1-122-12-1-12222-1-1-2-2-1-2-2-122-2-2-2-2-1-1-1-1-1-122-2-2-2-2-1-1-1-100000000000011-1-1111111-1-11111000000-2-2-2-20000000000001111111122-1-1-1-1000000
χ2522222222-2-222-2-22222222222222200200-2-2-20000222-2-2-2-2-20000222222222222222200-2-2000000-2-20000-200-2000000-2-20000-2-2000000000000000000000000
χ2622222222-2-222-2-22222222222222200200-2-2-20000222-2-2-2-2-200002222-2-2-2-2-2-2-2-2-2-2-2-200-2-2000000-2-20000200200000022000022000000000000000000000000
χ2722222222-2-22-1-2-222-1-12-122-1-1-1-12200-100-211−i3−i3i3i3-1-1-1-2-2-211−i3−i3i3i3-1-1-1-12222-1-1-1-1-1-1-1-10011−i3−i3i3i30011−i3−i3i3i3-200-200000011−i3−i3i3i311−i3−i3i3i300000000000000000000
χ2822222222-2-22-1-2-222-1-12-122-1-1-1-12200-100-211−i3−i3i3i3-1-1-1-2-2-211−i3−i3i3i3-1-1-1-1-2-2-2-2111111110011−i3−i3i3i30011−i3−i3i3i32002000000-1-1i3i3−i3−i3-1-1i3i3−i3−i300000000000000000000
χ2922222222-2-22-1-2-222-1-12-122-1-1-1-12200-100-211i3i3−i3−i3-1-1-1-2-2-211i3i3−i3−i3-1-1-1-12222-1-1-1-1-1-1-1-10011i3i3−i3−i30011i3i3−i3−i3-200-200000011i3i3−i3−i311i3i3−i3−i300000000000000000000
χ3022222222-2-22-1-2-222-1-12-122-1-1-1-12200-100-211i3i3−i3−i3-1-1-1-2-2-211i3i3−i3−i3-1-1-1-1-2-2-2-2111111110011i3i3−i3−i30011i3i3−i3−i32002000000-1-1−i3−i3i3i3-1-1−i3−i3i3i300000000000000000000
χ312222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-20020022200002222-2-2-2-20000-2-2-2-222-2-22222-2-2-2-20022000000-2-20000200-2000000220000-2-2000000000000000000000000
χ322222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-20020022200002222-2-2-2-20000-2-2-2-2-2-222-2-2-2-222220022000000-2-20000-2002000000-2-2000022000000000000000000000000
χ332222-2-2-2-2222-1-2-222-1-12-1-2-21111-2-200-1002-1-1−i3−i3i3i3-1-1-12-2-211i3i3−i3−i3111122-2-2-1-1-1-1111100-1-1−i3−i3i3i30011i3i3−i3−i3200-2000000-1-1−i3−i3i3i311i3i3−i3−i300000000000000000000
χ342222-2-2-2-2222-1-2-222-1-12-1-2-21111-2-200-1002-1-1−i3−i3i3i3-1-1-12-2-211i3i3−i3−i31111-2-2221111-1-1-1-100-1-1−i3−i3i3i30011i3i3−i3−i3-200200000011i3i3−i3−i3-1-1−i3−i3i3i300000000000000000000
χ352222-2-2-2-2222-1-2-222-1-12-1-2-21111-2-200-1002-1-1i3i3−i3−i3-1-1-12-2-211−i3−i3i3i3111122-2-2-1-1-1-1111100-1-1i3i3−i3−i30011−i3−i3i3i3200-2000000-1-1i3i3−i3−i311−i3−i3i3i300000000000000000000
χ362222-2-2-2-2222-1-2-222-1-12-1-2-21111-2-200-1002-1-1i3i3−i3−i3-1-1-12-2-211−i3−i3i3i31111-2-2221111-1-1-1-100-1-1i3i3−i3−i30011−i3−i3i3i3-200200000011−i3−i3i3i3-1-1i3i3−i3−i300000000000000000000
χ372222-2-2-2-2-2-22-12222-1-12-1-2-21111-2-222-1-2-2-211-1-1-1-1-1-1-1-222-1-11111111122-2-2-1-1-1-111112211-1-1-1-1-2-2-1-11111-2222-2-2000011-1-1-1-1-1-1111100000000000000000000
χ382222-2-2-2-2-2-22-12222-1-12-1-2-21111-2-222-1-2-2-211-1-1-1-1-1-1-1-222-1-111111111-2-2221111-1-1-1-12211-1-1-1-1-2-2-1-111112-2-2-2220000-1-1111111-1-1-1-100000000000000000000
χ392222-2-2-2-2-2-22-12222-1-12-1-2-21111-2-2-2-2-122-2111111-1-1-1-222-1-1-1-1-1-1111122-2-2-1-1-1-11111-2-211111122-1-1-1-1-1-1-2-2-22220000111111-1-1-1-1-1-100000000000000000000
χ402222-2-2-2-2-2-22-12222-1-12-1-2-21111-2-2-2-2-122-2111111-1-1-1-222-1-1-1-1-1-11111-2-2221111-1-1-1-1-2-211111122-1-1-1-1-1-1222-2-2-20000-1-1-1-1-1-111111100000000000000000000
χ412222-2-2-2-2-2-2-1222-1-122-1211-2-2-2-21122-1-2-21-2-22222-1-1-11-1-122-2-2-2-21111000000000000-1-111-1-1-1-111-1-111110000002i2i−2i−2i000000000000−i−i−i−iiiii2i−2i−i−iii000000
χ422222-2-2-2-2-2-2-1222-1-122-1211-2-2-2-21122-1-2-21-2-22222-1-1-11-1-122-2-2-2-21111000000000000-1-111-1-1-1-111-1-11111000000−2i−2i2i2i000000000000iiii−i−i−i−i−2i2iii−i−i000000
χ432222-2-2-2-2-2-2-1222-1-122-1211-2-2-2-211-2-2-1221-2-2-2-2-2-2-1-1-11-1-1222222111100000000000011111111-1-1-1-1-1-1-1-10000002i2i−2i−2i000000000000−i−i−i−iiiii−2i2iii−i−i000000
χ442222-2-2-2-2-2-2-1222-1-122-1211-2-2-2-211-2-2-1221-2-2-2-2-2-2-1-1-11-1-1222222111100000000000011111111-1-1-1-1-1-1-1-1000000−2i−2i2i2i000000000000iiii−i−i−i−i2i−2i−i−iii000000
χ4522-2-22i−2i2i−2i0022002-22-2-2-22i−2i2i2i−2i−2i2i−2i0020000000002-2-20000000002i2i−2i−2i2-22i−2i22-2-22i2i−2i−2i00000000000000000000001+i−1−i1−i−1+i0000000000001+i1+i−1−i−1−i1−i1−i−1+i−1+i0000001+i−1−i1−i−1+i00
χ4622-2-22i−2i2i−2i0022002-22-2-2-22i−2i2i2i−2i−2i2i−2i0020000000002-2-20000000002i2i−2i−2i2-22i−2i22-2-22i2i−2i−2i0000000000000000000000−1−i1+i−1+i1−i000000000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i000000−1−i1+i−1+i1−i00
χ4722-2-22i−2i2i−2i0022002-22-2-2-22i−2i2i2i−2i−2i2i−2i0020000000002-2-20000000002i2i−2i−2i-22−2i2i-2-222−2i−2i2i2i00000000000000000000001+i−1−i1−i−1+i0000000000001+i1+i−1−i−1−i1−i1−i−1+i−1+i000000−1−i1+i−1+i1−i00
χ4822-2-22i−2i2i−2i0022002-22-2-2-22i−2i2i2i−2i−2i2i−2i0020000000002-2-20000000002i2i−2i−2i-22−2i2i-2-222−2i−2i2i2i0000000000000000000000−1−i1+i−1+i1−i000000000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i0000001+i−1−i1−i−1+i00
χ4922-2-2−2i2i−2i2i0022002-22-2-2-2−2i2i−2i−2i2i2i−2i2i0020000000002-2-2000000000−2i−2i2i2i2-2−2i2i22-2-2−2i−2i2i2i00000000000000000000001−i−1+i1+i−1−i0000000000001−i1−i−1+i−1+i1+i1+i−1−i−1−i0000001−i−1+i1+i−1−i00
χ5022-2-2−2i2i−2i2i0022002-22-2-2-2−2i2i−2i−2i2i2i−2i2i0020000000002-2-2000000000−2i−2i2i2i2-2−2i2i22-2-2−2i−2i2i2i0000000000000000000000−1+i1−i−1−i1+i000000000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i000000−1+i1−i−1−i1+i00
χ5122-2-2−2i2i−2i2i0022002-22-2-2-2−2i2i−2i−2i2i2i−2i2i0020000000002-2-2000000000−2i−2i2i2i-222i−2i-2-2222i2i−2i−2i00000000000000000000001−i−1+i1+i−1−i0000000000001−i1−i−1+i−1+i1+i1+i−1−i−1−i000000−1+i1−i−1−i1+i00
χ5222-2-2−2i2i−2i2i0022002-22-2-2-2−2i2i−2i−2i2i2i−2i2i0020000000002-2-2000000000−2i−2i2i2i-222i−2i-2-2222i2i−2i−2i0000000000000000000000−1+i1−i−1−i1+i000000000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i0000001−i−1+i1+i−1−i00
χ532-2-2222-2-22-2222-2-2-2-2-222-2-22-22-2222-222-2-22-22-22-2-2-2222-22-22-22-22-22-20000000000002-22-22-22-22-22-22-22-2000000000000000000000000000000000000000000
χ542-2-2222-2-22-2222-2-2-2-2-222-2-22-22-222-222-22-22-2-22-22-2-2222-22-2-22-222-22-2000000000000-222-2-22-22-222-2-22-22000000000000000000000000000000000000000000
χ552-2-2222-2-22-22-12-2-2-2112-1-2-2-11-11222-2-12-2-2-11-11-1111-122-2-11-11-11-11-110000−i3i3−i3i3−i3i3−i3i32-2-11-11-112-2-11-11-110000000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i300000000000000000000
χ562-2-2222-2-22-22-12-2-2-2112-1-2-2-11-11222-2-12-2-2-11-11-1111-122-2-11-11-11-11-110000i3−i3i3−i3i3−i3i3−i32-2-11-11-112-2-11-11-110000000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300000000000000000000
χ572-2-2222-2-22-22-12-2-2-2112-1-2-2-11-1122-22-1-22-2-111-11-111-122-2-111-11-1-11-110000−i3i3−i3i3−i3i3−i3i3-22-111-11-1-22-111-11-10000000000−i3i3i3−i3i3−i3−i3i3i3−i3i3−i300000000000000000000
χ582-2-2222-2-22-22-12-2-2-2112-1-2-2-11-1122-22-1-22-2-111-11-111-122-2-111-11-1-11-110000i3−i3i3−i3i3−i3i3−i3-22-111-11-1-22-111-11-10000000000i3−i3−i3i3−i3i3i3−i3−i3i3−i3i300000000000000000000
χ592-2-2222-2-22-2-122-211-2-2-12112-22-2-1-12-2-12-212-22-22-211-1-1-112-22-22-2-11-11000000000000-11-11-11-11-11-11-11-110000000000000000000000−i3i3−i3i3−i3i3−i3i300−i3i3−i3i3000000
χ602-2-2222-2-22-2-122-211-2-2-12112-22-2-1-12-2-12-212-22-22-211-1-1-112-22-22-2-11-11000000000000-11-11-11-11-11-11-11-110000000000000000000000i3−i3i3−i3i3−i3i3−i300i3−i3i3−i3000000
χ612-2-2222-2-22-2-122-211-2-2-12112-22-2-1-1-22-1-2212-2-22-2211-1-1-112-2-22-22-11-110000000000001-1-111-11-11-1-111-11-10000000000000000000000−i3i3−i3i3−i3i3−i3i300i3−i3i3−i3000000
χ622-2-2222-2-22-2-122-211-2-2-12112-22-2-1-1-22-1-2212-2-22-2211-1-1-112-2-22-22-11-110000000000001-1-111-11-11-1-111-11-10000000000000000000000i3−i3i3−i3i3−i3i3−i300−i3i3−i3i3000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.