Finite Group Databasebeta

← Group #11787937

Character table — Group #11787937

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order1222222222336666666666366666666666666666446666121212121212121212121212121212122222444444446666666644121212121212121212121212224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ61111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1
χ71111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ81111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ91-1-1111-1-11-1111111-1-1-1-1-1-1111-1-111-1-1111-1-1-1-1-11i−i11-1-1ii−i−iiiiiii−i−i−i−i−i−i11-1-1ii−i−iii−i−i1111-1-1-1-11-1ii−i−iii−i−i11-1-11-11-1i−i
χ101-1-1111-1-11-1111111-1-1-1-1-1-1111-1-111-1-1111-1-1-1-1-11i−i11-1-1ii−i−iiiiiii−i−i−i−i−i−i11-1-1ii−i−i−i−iii1111-1-1-1-1-11ii−i−i−i−iii-1-111-11-11−ii
χ111-1-1111-1-11-1111111-1-1-1-1-1-1111-1-111-1-1111-1-1-1-1-11i−i11-1-1ii−i−iiiiiii−i−i−i−i−i−i-1-111−i−iiiii−i−i-1-1-1-111111-1−i−iiiii−i−i11-1-1-11-11−ii
χ121-1-1111-1-11-1111111-1-1-1-1-1-1111-1-111-1-1111-1-1-1-1-11i−i11-1-1ii−i−iiiiiii−i−i−i−i−i−i-1-111−i−iii−i−iii-1-1-1-11111-11−i−iii−i−iii-1-1111-11-1i−i
χ131-1-1111-1-11-1111111-1-1-1-1-1-1111-1-111-1-1111-1-1-1-1-11−ii11-1-1−i−iii−i−i−i−i−i−iiiiiii11-1-1−i−iiiii−i−i1111-1-1-1-1-11−i−iiiii−i−i-1-111-11-11i−i
χ141-1-1111-1-11-1111111-1-1-1-1-1-1111-1-111-1-1111-1-1-1-1-11−ii11-1-1−i−iii−i−i−i−i−i−iiiiiii11-1-1−i−iii−i−iii1111-1-1-1-11-1−i−iii−i−iii11-1-11-11-1−ii
χ151-1-1111-1-11-1111111-1-1-1-1-1-1111-1-111-1-1111-1-1-1-1-11−ii11-1-1−i−iii−i−i−i−i−i−iiiiiii-1-111ii−i−iii−i−i-1-1-1-11111-11ii−i−iii−i−i-1-1111-11-1−ii
χ161-1-1111-1-11-1111111-1-1-1-1-1-1111-1-111-1-1111-1-1-1-1-11−ii11-1-1−i−iii−i−i−i−i−i−iiiiiii-1-111ii−i−i−i−iii-1-1-1-111111-1ii−i−i−i−iii11-1-1-11-11i−i
χ1722222222222-12-1-1-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-12-1-1222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1222222220000-1-1-1-1-1-1-1-100-1-1-1-100000000000000
χ1822222222222-12-1-1-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-12-1-1222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-2-2-2-2-200001111111100111100000000000000
χ1922222222222-12-1-1-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-12-1-12-2-2-1-1-1-11111-2-21111-2-211112222-2-2-2-20000-1-1-1-1-1-1-1-100111100000000000000
χ2022222222222-12-1-1-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-12-1-12-2-2-1-1-1-11111-2-21111-2-21111-2-2-2-2222200001111111100-1-1-1-100000000000000
χ212222222222-12-122222-1-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000222200000000220000-1-1-1-1-1-1-1-1000000
χ222222222222-12-122222-1-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-200000000-2-2000011111111000000
χ232222222222-12-122222-1-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-2-211111111111100000000222200000000-2-20000-1-1-1-11111000000
χ242222222222-12-122222-1-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-2-211111111111100000000-2-2-2-2000000002200001111-1-1-1-1000000
χ2522222-2-22-2-222222222222222-2-2-2-2-2-2-222222222-200-2-2-2-2000000000000000000002-22-2000000000000002-22-200000000000000
χ2622222-2-22-2-222222222222222-2-2-2-2-2-2-222222222-200-2-2-2-200000000000000000000-22-2200000000000000-22-2200000000000000
χ2722222-2-22-2-22-12-1-1-1-1-122-1-1-12-2-2-21111-1-1-1-1-12-1-1-2001111−i3i3−i3i300−i3−i3i3i300−i3−i3i3i300002-22-20000−i3−i3i3i3−i3−i3i3i300-11-1100000000000000
χ2822222-2-22-2-22-12-1-1-1-1-122-1-1-12-2-2-21111-1-1-1-1-12-1-1-2001111−i3i3−i3i300−i3−i3i3i300−i3−i3i3i30000-22-220000i3i3−i3−i3i3i3−i3−i3001-11-100000000000000
χ2922222-2-22-2-22-12-1-1-1-1-122-1-1-12-2-2-21111-1-1-1-1-12-1-1-2001111i3−i3i3−i300i3i3−i3−i300i3i3−i3−i300002-22-20000i3i3−i3−i3i3i3−i3−i300-11-1100000000000000
χ3022222-2-22-2-22-12-1-1-1-1-122-1-1-12-2-2-21111-1-1-1-1-12-1-1-2001111i3−i3i3−i300i3i3−i3−i300i3i3−i3−i30000-22-220000−i3−i3i3i3−i3−i3i3i3001-11-100000000000000
χ312222-22-2-2-222222-2-2-2-222222-222-22-22-22-2-222-2-2-2-2002-22-20000000000000000000000002-22-2000000000000002-22-20000000000
χ322222-22-2-2-222222-2-2-2-222222-222-22-22-22-2-222-2-2-2-2002-22-2000000000000000000000000-22-2200000000000000-22-220000000000
χ332222-22-2-2-22-12-12-2-2-2-2-1-122-11-1-112-22-2-111-1-1111100-11-1100003−33−33−33−33−33−3000000002-22-200000000000000-11-113−33−3000000
χ342222-22-2-2-22-12-12-2-2-2-2-1-122-11-1-112-22-2-111-1-1111100-11-1100003−33−33−33−33−33−300000000-22-22000000000000001-11-1−33−33000000
χ352222-22-2-2-22-12-12-2-2-2-2-1-122-11-1-112-22-2-111-1-1111100-11-110000−33−33−33−33−33−33000000002-22-200000000000000-11-11−33−33000000
χ362222-22-2-2-22-12-12-2-2-2-2-1-122-11-1-112-22-2-111-1-1111100-11-110000−33−33−33−33−33−3300000000-22-22000000000000001-11-13−33−3000000
χ372222-2-22-22-22222-2-2-2-222222-2-2-22-22-222-2-222-2-2-2200-22-220000000000000000000000000000000000000000000000000022-2-200
χ382222-2-22-22-22222-2-2-2-222222-2-2-22-22-222-2-222-2-2-2200-22-2200000000000000000000000000000000000000000000000000-2-22200
χ392-2-2222-2-22-22-12-1-1-111-2-211-122-2-2-1-111-1-1-111-21122i−2i-1-111−i−iii2i2i−i−i−i−i−2i−2iiiii22-2-22i2i−2i−2i0000-1-1-1-1111100−i−iii00000000000000
χ402-2-2222-2-22-22-12-1-1-111-2-211-122-2-2-1-111-1-1-111-21122i−2i-1-111−i−iii2i2i−i−i−i−i−2i−2iiiii-2-222−2i−2i2i2i00001111-1-1-1-100ii−i−i00000000000000
χ412-2-2222-2-22-22-12-1-1-111-2-211-122-2-2-1-111-1-1-111-2112−2i2i-1-111ii−i−i−2i−2iiiii2i2i−i−i−i−i22-2-2−2i−2i2i2i0000-1-1-1-1111100ii−i−i00000000000000
χ422-2-2222-2-22-22-12-1-1-111-2-211-122-2-2-1-111-1-1-111-2112−2i2i-1-111ii−i−i−2i−2iiiii2i2i−i−i−i−i-2-2222i2i−2i−2i00001111-1-1-1-100−i−iii00000000000000
χ432-2-2222-2-22-2-12-1222-2-211-2-2-1-1-11122-2-2-1-1-111111-12i−2i-1-1112i2i−2i−2i−i−i−i−i−i−iiiiiii000000002i2i−2i−2i000000002-20000−i−iii-1-111000000
χ442-2-2222-2-22-2-12-1222-2-211-2-2-1-1-11122-2-2-1-1-111111-12i−2i-1-1112i2i−2i−2i−i−i−i−i−i−iiiiiii00000000−2i−2i2i2i00000000-220000ii−i−i11-1-1000000
χ452-2-2222-2-22-2-12-1222-2-211-2-2-1-1-11122-2-2-1-1-111111-1−2i2i-1-111−2i−2i2i2iiiiiii−i−i−i−i−i−i000000002i2i−2i−2i00000000-220000−i−iii11-1-1000000
χ462-2-2222-2-22-2-12-1222-2-211-2-2-1-1-11122-2-2-1-1-111111-1−2i2i-1-111−2i−2i2i2iiiiiii−i−i−i−i−i−i00000000−2i−2i2i2i000000002-20000ii−i−i-1-111000000
χ472-2-222-22-2-22222222-2-2-2-2-2-222-222-2-222222-2-2-2-2-2-200-2-222000000000000000000002i−2i−2i2i000000000000002i−2i−2i2i00000000000000
χ482-2-222-22-2-22222222-2-2-2-2-2-222-222-2-222222-2-2-2-2-2-200-2-22200000000000000000000−2i2i2i−2i00000000000000−2i2i2i−2i00000000000000
χ492-2-222-22-2-222-12-1-1-111-2-211-12-22211-1-1-1-1-111-211-20011-1-13−3−330033−3−300−3−33300002i−2i−2i2i0000−i3−i3i3i3i3i3−i3−i300−iii−i00000000000000
χ502-2-222-22-2-222-12-1-1-111-2-211-12-22211-1-1-1-1-111-211-20011-1-13−3−330033−3−300−3−3330000−2i2i2i−2i0000i3i3−i3−i3−i3−i3i3i300i−i−ii00000000000000
χ512-2-222-22-2-222-12-1-1-111-2-211-12-22211-1-1-1-1-111-211-20011-1-1−333−300−3−3330033−3−300002i−2i−2i2i0000i3i3−i3−i3−i3−i3i3i300−iii−i00000000000000
χ522-2-222-22-2-222-12-1-1-111-2-211-12-22211-1-1-1-1-111-211-20011-1-1−333−300−3−3330033−3−30000−2i2i2i−2i0000−i3−i3i3i3i3i3−i3−i300i−i−ii00000000000000
χ532-2-22-2222-2-22222-2-222-2-2-2-22-22-222-2-222-2-2-2-2222-2002-2-220000000000000000000000002i−2i−2i2i000000000000002i−2i−2i2i0000000000
χ542-2-22-2222-2-22222-2-222-2-2-2-22-22-222-2-222-2-2-2-2222-2002-2-22000000000000000000000000−2i2i2i−2i00000000000000−2i2i2i−2i0000000000
χ552-2-22-2222-2-2-12-12-2-22211-2-2-11-11-12-2-22-11111-1-1-1100-111-10000−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3000000002i−2i−2i2i00000000000000−iii−i−333−3000000
χ562-2-22-2222-2-2-12-12-2-22211-2-2-11-11-12-2-22-11111-1-1-1100-111-10000−i3i3−i3i3−i3i3i3−i3i3−i3i3−i300000000−2i2i2i−2i00000000000000i−i−ii3−3−33000000
χ572-2-22-2222-2-2-12-12-2-22211-2-2-11-11-12-2-22-11111-1-1-1100-111-10000i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3000000002i−2i−2i2i00000000000000−iii−i3−3−33000000
χ582-2-22-2222-2-2-12-12-2-22211-2-2-11-11-12-2-22-11111-1-1-1100-111-10000i3−i3i3−i3i3−i3−i3i3−i3i3−i3i300000000−2i2i2i−2i00000000000000i−i−ii−333−3000000
χ592-2-22-2-2-22222222-2-222-2-2-2-22-2-22-2-222-22-2-2-2-2222200-222-2000000000000000000000000000000000000000000000000002-2-2200
χ602-2-22-2-2-22222222-2-222-2-2-2-22-2-22-2-222-22-2-2-2-2222200-222-200000000000000000000000000000000000000000000000000-222-200
χ614444444444-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-211111-211-2441111-2-2-2-2-2-21111-2-211110000000000000000000000000000000000000000
χ624444444444-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-211111-211-2-4-41111222222-1-1-1-122-1-1-1-10000000000000000000000000000000000000000
χ6344444-4-44-4-4-24-244444-2-244-2-2222-4-4-4-4-2-2-2-2-2-2-2-2200222200000000000000000000000000000000000000000000000000000000
χ6444444-4-44-4-4-2-2-2-2-2-2-2-2-2-2-2-21-2222222211111-211200-1-1-1-1−2i32i3−2i32i300i3i3−i3−i300i3i3−i3−i30000000000000000000000000000000000000000
χ6544444-4-44-4-4-2-2-2-2-2-2-2-2-2-2-2-21-2222222211111-211200-1-1-1-12i3−2i32i3−2i300−i3−i3i3i300−i3−i3i3i30000000000000000000000000000000000000000
χ664444-44-4-4-444-24-2222244-2-2-2-444-4-22-22-222-2-2-422-400-22-2200000000000000000000000000000000000000000000000000000000
χ674444-44-4-4-44-2-2-2-22222-2-2-2-212-2-22-22-221-1-1112-1-12001-11-1000023−23−33−3323−23−33−330000000000000000000000000000000000000000
χ684444-44-4-4-44-2-2-2-22222-2-2-2-212-2-22-22-221-1-1112-1-12001-11-10000−23233−33−3−23233−33−30000000000000000000000000000000000000000
χ694444-4-44-44-44-24-2222244-2-2-2-4-4-442-22-2-222-2-2-4224002-22-200000000000000000000000000000000000000000000000000000000
χ704444-4-44-44-4-24-24-4-4-4-4-2-244-2222-2-44-44-222-2-2222-2002-22-200000000000000000000000000000000000000000000000000000000
χ714444-4-44-44-4-2-2-2-22222-2-2-2-21222-22-22-21-1-1112-1-1-200-11-110000003i−3i−3i3i003i−3i−3i3i0000000000000000000000000000000000000000
χ724444-4-44-44-4-2-2-2-22222-2-2-2-21222-22-22-21-1-1112-1-1-200-11-11000000−3i3i3i−3i00−3i3i3i−3i0000000000000000000000000000000000000000
χ7344-4-400000044-4-400004-44-4400000000-4004-4000000000000000000000000002-22-2000000002-22-22-22-200000000000000000000
χ7444-4-400000044-4-400004-44-4400000000-4004-400000000000000000000000000-22-2200000000-22-22-22-2200000000000000000000
χ7544-4-40000004-2-42−2i32i3−2i32i34-4-22-2000000002−2i32i3-220−2i32i3000000000000000000000002-22-200000000−1+i31−i3−1−i31+i3−1+i31−i3−1−i31+i300000000000000000000
χ7644-4-40000004-2-42−2i32i3−2i32i34-4-22-2000000002−2i32i3-220−2i32i300000000000000000000000-22-22000000001−i3−1+i31+i3−1−i31−i3−1+i31+i3−1−i300000000000000000000
χ7744-4-40000004-2-422i3−2i32i3−2i34-4-22-20000000022i3−2i3-2202i3−2i3000000000000000000000002-22-200000000−1−i31+i3−1+i31−i3−1−i31+i3−1+i31−i300000000000000000000
χ7844-4-40000004-2-422i3−2i32i3−2i34-4-22-20000000022i3−2i3-2202i3−2i300000000000000000000000-22-22000000001+i3−1−i31−i3−1+i31+i3−1−i31−i3−1+i300000000000000000000
χ794-44-400000044-4-40000-44-44400000000-400-44000000000000000000000000002-2-22000000002-22-2-22-2200000000000000000000
χ804-44-400000044-4-40000-44-44400000000-400-4400000000000000000000000000-222-200000000-22-222-22-200000000000000000000
χ814-44-40000004-2-42−2i32i32i3−2i3-442-2-2000000002−2i32i32-202i3−2i3000000000000000000000002-2-2200000000−1+i31−i3−1−i31+i31−i3−1+i31+i3−1−i300000000000000000000
χ824-44-40000004-2-42−2i32i32i3−2i3-442-2-2000000002−2i32i32-202i3−2i300000000000000000000000-222-2000000001−i3−1+i31+i3−1−i3−1+i31−i3−1−i31+i300000000000000000000
χ834-44-40000004-2-422i3−2i3−2i32i3-442-2-20000000022i3−2i32-20−2i32i3000000000000000000000002-2-2200000000−1−i31+i3−1+i31−i31+i3−1−i31−i3−1+i300000000000000000000
χ844-44-40000004-2-422i3−2i3−2i32i3-442-2-20000000022i3−2i32-20−2i32i300000000000000000000000-222-2000000001+i3−1−i31−i3−1+i3−1−i31+i3−1+i31−i300000000000000000000
χ854-4-4444-4-44-4-2-2-2-2-2-22222221-2-222-2-222111-1-12-1-1-24i−4i11-1-1−2i−2i2i2i−2i−2iiiii2i2i−i−i−i−i0000000000000000000000000000000000000000
χ864-4-4444-4-44-4-2-2-2-2-2-22222221-2-222-2-222111-1-12-1-1-2−4i4i11-1-12i2i−2i−2i2i2i−i−i−i−i−2i−2iiiii0000000000000000000000000000000000000000
χ874-4-444-44-4-44-24-2444-4-422-4-4-2-22-2-2-4-444-2-2-22222220022-2-200000000000000000000000000000000000000000000000000000000
χ884-4-444-44-4-44-2-2-2-2-2-22222221-22-2-222-2-2111-1-12-1-1200-1-11123−23−232300−3−3330033−3−30000000000000000000000000000000000000000
χ894-4-444-44-4-44-2-2-2-2-2-22222221-22-2-222-2-2111-1-12-1-1200-1-111−232323−230033−3−300−3−3330000000000000000000000000000000000000000
χ904-4-44-4444-4-44-24-222-2-2-4-422-2-44-44-222-2-222224-2-2-400-222-200000000000000000000000000000000000000000000000000000000
χ914-4-44-4444-4-4-2-2-2-222-2-2222212-22-2-222-21-1-1-1-1-2112001-1-110000−2i32i3i3−i3i3−i32i3−2i3−i3i3−i3i30000000000000000000000000000000000000000
χ924-4-44-4444-4-4-2-2-2-222-2-2222212-22-2-222-21-1-1-1-1-2112001-1-1100002i3−2i3−i3i3−i3i3−2i32i3i3−i3i3−i30000000000000000000000000000000000000000
χ934-4-44-4-4-44444-24-222-2-2-4-422-2-4-44-42-2-22-222224-2-24002-2-2200000000000000000000000000000000000000000000000000000000
χ944-4-44-4-4-4444-24-24-4-44422-4-4-222-22-444-4-22222-2-2-2-2002-2-2200000000000000000000000000000000000000000000000000000000
χ954-4-44-4-4-4444-2-2-2-222-2-22222122-222-2-221-1-1-1-1-211-200-111-10000003-3-3300-333-30000000000000000000000000000000000000000
χ964-4-44-4-4-4444-2-2-2-222-2-22222122-222-2-221-1-1-1-1-211-200-111-1000000-333-3003-3-330000000000000000000000000000000000000000
χ9788-8-8000000-484-80000-448-8-400000000400-44000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-8000000-4-444−4i34i3−4i34i3-44-44200000000-22i3−2i32-202i3−2i3000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8000000-4-4444i3−4i34i3−4i3-44-44200000000-2−2i32i32-20−2i32i3000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8000000-484-800004-4-88-4000000004004-4000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-8000000-4-444−4i34i34i3−4i34-44-4200000000-22i3−2i3-220−2i32i3000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8000000-4-4444i3−4i3−4i34i34-44-4200000000-2−2i32i3-2202i3−2i3000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).