Finite Group Databasebeta

← Group #11784907

Character table — Group #11784907

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order12222233444466666612121212366666661212121212121212121266881212242424242424242424242424242424242244444444441212121212121212668812121212121224242424224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1
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
χ5111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1
χ6111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ7111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-111111111-1-1
χ91-1-111-11111-1-1-1-1-1-11111-1-111-11-1-11-11-11111-1-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i1-11-111-1-1ii−i−iiiii−i−i−i−i1-1i−i1-111-1-1ii−i−i1-11-1i−i
χ101-1-111-11111-1-1-1-1-1-11111-1-111-11-1-11-11-11111-1-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i1-11-1-1-111ii−i−iiiii−i−i−i−i1-1−ii1-1-1-111−i−iii-11-11−ii
χ111-1-111-11111-1-1-1-1-1-11111-1-111-11-1-11-11-11111-1-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i-11-1111-1-1−i−iii−i−i−i−iiiii-11i−i-1111-1-1ii−i−i-11-11−ii
χ121-1-111-11111-1-1-1-1-1-11111-1-111-11-1-11-11-11111-1-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i-11-11-1-111−i−iii−i−i−i−iiiii-11−ii-11-1-111−i−iii1-11-1i−i
χ131-1-111-11111-1-1-1-1-1-11111-1-111-11-1-11-11-11111-1-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii1-11-111-1-1−i−iii−i−i−i−iiiii1-1−ii1-111-1-1−i−iii1-11-1−ii
χ141-1-111-11111-1-1-1-1-1-11111-1-111-11-1-11-11-11111-1-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii1-11-1-1-111−i−iii−i−i−i−iiiii1-1i−i1-1-1-111ii−i−i-11-11i−i
χ151-1-111-11111-1-1-1-1-1-11111-1-111-11-1-11-11-11111-1-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii-11-1111-1-1ii−i−iiiii−i−i−i−i-11−ii-1111-1-1−i−iii-11-11i−i
χ161-1-111-11111-1-1-1-1-1-11111-1-111-11-1-11-11-11111-1-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii-11-11-1-111ii−i−iiiii−i−i−i−i-11i−i-11-1-111ii−i−i1-11-1−ii
χ1722222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22200-2-2000000000000000000002-22-20000000000000000002-22-20000000000
χ1822222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22200-2-200000000000000000000-22-22000000000000000000-22-220000000000
χ192222222-1222222-1-1-12-1-1-1-1-122-1-1-1-1-1-1-122-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1222200002222-1-1-1-1-1-1-1-1-1-100-1-100000000000000
χ202222222-1222222-1-1-12-1-1-1-1-122-1-1-1-1-1-1-122-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-20000-2-2-2-21111111111001100000000000000
χ212222222-1222222-1-1-12-1-1-1-1-122-1-1-1-1-1-1-122-1-12-1-12-1-1-2-2-1-11111-2-21111-2-2111122220000-2-2-2-211111111-1-100-1-100000000000000
χ222222222-1222222-1-1-12-1-1-1-1-122-1-1-1-1-1-1-122-1-12-1-12-1-1-2-2-1-11111-2-21111-2-21111-2-2-2-200002222-1-1-1-1-1-1-1-111001100000000000000
χ23222222-122222-1-1222-12222-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-100002222000000000000002200-1-1-1-1-1-1-1-1000000
χ24222222-122222-1-1222-12222-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000000000000-2-20011111111000000
χ25222222-122222-1-1222-12222-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-21111111111110000222200000000000000-2-200-1-1-1-11111000000
χ26222222-122222-1-1222-12222-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-21111111111110000-2-2-2-20000000000000022001111-1-1-1-1000000
χ27222222-12-2-2-2-2-1-1222-1-2-2-2-2-1-1-12-1-1-12-2-211111111-1-1001100003−333−3−33−333−3−300002-22-2000000000000000000-11-113−33−3000000
χ28222222-12-2-2-2-2-1-1222-1-2-2-2-2-1-1-12-1-1-12-2-211111111-1-1001100003−333−3−33−333−3−30000-22-220000000000000000001-11-1−33−33000000
χ29222222-12-2-2-2-2-1-1222-1-2-2-2-2-1-1-12-1-1-12-2-211111111-1-100110000−33−3−333−33−3−33300002-22-2000000000000000000-11-11−33−33000000
χ30222222-12-2-2-2-2-1-1222-1-2-2-2-2-1-1-12-1-1-12-2-211111111-1-100110000−33−3−333−33−3−3330000-22-220000000000000000001-11-13−33−3000000
χ312222-2-2222-22-222222222222-2-2-2222-2-2-22-222222-2-2-200-2-20000000000000000000000000000000000000000000000000022-2-200
χ322222-2-2222-22-222222222222-2-2-2222-2-2-22-222222-2-2-200-2-200000000000000000000000000000000000000000000000000-2-22200
χ332222-2-222-22-22222222-2-2-2-22-2-2-2222-222-22-2-2-2-2-22-2-20022000000000000000022-2-200000000000000002200-2-200000000000000
χ342222-2-222-22-22222222-2-2-2-22-2-2-2222-222-22-2-2-2-2-22-2-200220000000000000000-2-2220000000000000000-2-2002200000000000000
χ352222-2-22-1-22-2222-1-1-121111-1-2-21-1-1-11-1-1-2211-21121100-1-13−33−3003−33−3003−33−322-2-20000000033−3−333−3−3-1-1001100000000000000
χ362222-2-22-1-22-2222-1-1-121111-1-2-21-1-1-11-1-1-2211-21121100-1-13−33−3003−33−3003−33−3-2-22200000000−3−333−3−3331100-1-100000000000000
χ372222-2-22-1-22-2222-1-1-121111-1-2-21-1-1-11-1-1-2211-21121100-1-1−33−3300−33−3300−33−3322-2-200000000−3−333−3−333-1-1001100000000000000
χ382222-2-22-1-22-2222-1-1-121111-1-2-21-1-1-11-1-1-2211-21121100-1-1−33−3300−33−3300−33−33-2-2220000000033−3−333−3−31100-1-100000000000000
χ392-2-222-222-2-222-2-2-2-222-2-22222-22-2-22-2-22-2-2-2-222222-200-22000000000000000000002-2-220000000000000000002-2-220000000000
χ402-2-222-222-2-222-2-2-2-222-2-22222-22-2-22-2-22-2-2-2-222222-200-2200000000000000000000-222-2000000000000000000-222-20000000000
χ412-2-222-22-122-2-2-2-211-12-1-111-12-2-111-11-1122-1-1-211-2-112i−2i-11−i−iii2i2i−i−i−i−i−2i−2iiiii2-22-200002i2i−2i−2i−i−i−i−iiiii-1100-1100000000000000
χ422-2-222-22-122-2-2-2-211-12-1-111-12-2-111-11-1122-1-1-211-2-112i−2i-11−i−iii2i2i−i−i−i−i−2i−2iiiii-22-220000−2i−2i2i2iiiii−i−i−i−i1-1001-100000000000000
χ432-2-222-22-122-2-2-2-211-12-1-111-12-2-111-11-1122-1-1-211-2-11−2i2i-11ii−i−i−2i−2iiiii2i2i−i−i−i−i2-22-20000−2i−2i2i2iiiii−i−i−i−i-1100-1100000000000000
χ442-2-222-22-122-2-2-2-211-12-1-111-12-2-111-11-1122-1-1-211-2-11−2i2i-11ii−i−i−2i−2iiiii2i2i−i−i−i−i-22-2200002i2i−2i−2i−i−i−i−iiiii1-1001-100000000000000
χ452-2-222-2-1222-2-211-2-22-122-2-2-1-11211-1-22-2-1-1-1-11111-112i−2i-112i2i−2i−2i−i−i−i−i−i−iiiiiii000022-2-2000000000000002i−2i00-1-111−i−iii000000
χ462-2-222-2-1222-2-211-2-22-122-2-2-1-11211-1-22-2-1-1-1-11111-112i−2i-112i2i−2i−2i−i−i−i−i−i−iiiiiii0000-2-22200000000000000−2i2i0011-1-1ii−i−i000000
χ472-2-222-2-1222-2-211-2-22-122-2-2-1-11211-1-22-2-1-1-1-11111-11−2i2i-11−2i−2i2i2iiiiiii−i−i−i−i−i−i000022-2-200000000000000−2i2i00-1-111ii−i−i000000
χ482-2-222-2-1222-2-211-2-22-122-2-2-1-11211-1-22-2-1-1-1-11111-11−2i2i-11−2i−2i2i2iiiiiii−i−i−i−i−i−i0000-2-222000000000000002i−2i0011-1-1−i−iii000000
χ492-2-222-2-12-2-22211-2-22-1-2-222-1-11211-1-2-221111-1-1-1-1-11001-10000−i3i3−i3−i3i3i3i3−i3i3i3−i3−i300002-2-22000000000000000000-111-1−i3i3i3−i3000000
χ502-2-222-2-12-2-22211-2-22-1-2-222-1-11211-1-2-221111-1-1-1-1-11001-10000−i3i3−i3−i3i3i3i3−i3i3i3−i3−i30000-222-20000000000000000001-1-11i3−i3−i3i3000000
χ512-2-222-2-12-2-22211-2-22-1-2-222-1-11211-1-2-221111-1-1-1-1-11001-10000i3−i3i3i3−i3−i3−i3i3−i3−i3i3i300002-2-22000000000000000000-111-1i3−i3−i3i3000000
χ522-2-222-2-12-2-22211-2-22-1-2-222-1-11211-1-2-221111-1-1-1-1-11001-10000i3−i3i3i3−i3−i3−i3i3−i3−i3i3i30000-222-20000000000000000001-1-11−i3i3i3−i3000000
χ532-2-22-22222-2-22-2-2-2-22222-2-22-22-2-2-222-222-222-2-2-22-2200-22000000000000000000000000000000000000000000000000002-2-2200
χ542-2-22-22222-2-22-2-2-2-22222-2-22-22-2-2-222-222-222-2-2-22-2200-2200000000000000000000000000000000000000000000000000-222-200
χ552-2-22-2222-222-2-2-2-2-222-2-2222-22-2-2-2222-2-22-2-2222-2-22002-200000000000000002-2-2200000000000000002-200-2200000000000000
χ562-2-22-2222-222-2-2-2-2-222-2-2222-22-2-2-2222-2-22-2-2222-2-22002-20000000000000000-222-20000000000000000-22002-200000000000000
χ572-2-22-222-1-222-2-2-211-1211-1-1-1-22111-1-1-11-22112-1-1-21-100-11−i3i3i3−i300−i3i3−i3i300i3−i3i3−i32-2-2200000000−i3−i3i3i3i3i3−i3−i3-11001-100000000000000
χ582-2-22-222-1-222-2-2-211-1211-1-1-1-22111-1-1-11-22112-1-1-21-100-11−i3i3i3−i300−i3i3−i3i300i3−i3i3−i3-222-200000000i3i3−i3−i3−i3−i3i3i31-100-1100000000000000
χ592-2-22-222-1-222-2-2-211-1211-1-1-1-22111-1-1-11-22112-1-1-21-100-11i3−i3−i3i300i3−i3i3−i300−i3i3−i3i32-2-2200000000i3i3−i3−i3−i3−i3i3i3-11001-100000000000000
χ602-2-22-222-1-222-2-2-211-1211-1-1-1-22111-1-1-11-22112-1-1-21-100-11i3−i3−i3i300i3−i3i3−i300−i3i3−i3i3-222-200000000−i3−i3i3i3i3i3−i3−i31-100-1100000000000000
χ614444444-2-4-4-4-444-2-2-242222-244-2-2-2-2-222-4-422-422-4-2-2002200000000000000000000000000000000000000000000000000000000
χ62444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2111-2-2-2-2-211-211-2114411-2-2-2-2-2-21111-2-211110000000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2111-2-2-2-2-211-211-211-4-411222222-1-1-1-122-1-1-1-10000000000000000000000000000000000000000
χ64444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2111-22222-1-12-1-121100-1-1000023−23−3−33323−23−3−3330000000000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2111-22222-1-12-1-121100-1-10000−232333−3−3−232333−3−30000000000000000000000000000000000000000
χ664444-4-44-24-44-444-2-2-24-2-2-2-2-2-4-42-2-2-22224-4-2-24-2-2-422002200000000000000000000000000000000000000000000000000000000
χ674444-4-4-244-44-4-2-2444-24444-222-4-2-2-2-4-4-4-22-2-2-2-2-2222002200000000000000000000000000000000000000000000000000000000
χ684444-4-4-24-44-44-2-2444-2-4-4-4-4-222-4-2-2-2-4442-222222-22200-2-200000000000000000000000000000000000000000000000000000000
χ694444-4-4-2-24-44-4-2-2-2-2-2-2-2-2-2-21222111222-2211-2112-1-100-1-10000003-3-33003-3-330000000000000000000000000000000000000000
χ704444-4-4-2-24-44-4-2-2-2-2-2-2-2-2-2-21222111222-2211-2112-1-100-1-1000000-333-300-333-30000000000000000000000000000000000000000
χ714444-4-4-2-2-44-44-2-2-2-2-2-2222212221112-2-22-2-1-12-1-1-2-1-1001123−2323−2300−33−3300−33−330000000000000000000000000000000000000000
χ724444-4-4-2-2-44-44-2-2-2-2-2-2222212221112-2-22-2-1-12-1-1-2-1-10011−2323−2323003−33−3003−33−30000000000000000000000000000000000000000
χ7344-4-4004400004-44-4-4-4000040004-4-4000000000000000000000000000000000000000002-22-22-22-22-22-200000000000000000000
χ7444-4-4004400004-44-4-4-4000040004-4-400000000000000000000000000000000000000000-22-22-22-22-22-2200000000000000000000
χ7544-4-4004-200004-4-222-423−2323−23-2000-2220000023−23023−2300000000000000000000000000000002-22-2−1−31+3−1+31−3−1−31+3−1+31−300000000000000000000
χ7644-4-4004-200004-4-222-423−2323−23-2000-2220000023−23023−230000000000000000000000000000000-22-221+3−1−31−3−1+31+3−1−31−3−1+300000000000000000000
χ7744-4-4004-200004-4-222-4−2323−2323-2000-22200000−23230−232300000000000000000000000000000002-22-2−1+31−3−1−31+3−1+31−3−1−31+300000000000000000000
χ7844-4-4004-200004-4-222-4−2323−2323-2000-22200000−23230−23230000000000000000000000000000000-22-221−3−1+31+3−1−31−3−1+31+3−1−300000000000000000000
χ794-44-400440000-44-44-4-400004000-44-4000000000000000000000000000000000000000002i−2i−2i2i2i−2i2i−2i−2i2i−2i2i00000000000000000000
χ804-44-400440000-44-44-4-400004000-44-400000000000000000000000000000000000000000−2i2i2i−2i−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ814-44-4004-20000-442-22-423−23−2323-20002-220000023−230−232300000000000000000000000000000002i−2i−2i2i−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ1100000000000000000000
χ824-44-4004-20000-442-22-423−23−2323-20002-220000023−230−23230000000000000000000000000000000−2i2i2i−2iζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ1100000000000000000000
χ834-44-4004-20000-442-22-4−232323−23-20002-2200000−2323023−2300000000000000000000000000000002i−2i−2i2iζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ1100000000000000000000
χ844-44-4004-20000-442-22-4−232323−23-20002-2200000−2323023−230000000000000000000000000000000−2i2i2i−2i−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ1100000000000000000000
χ854-4-444-44-2-4-444-4-422-2422-2-2-24-4-222-222-2-4-4224-2-24-22002-200000000000000000000000000000000000000000000000000000000
χ864-4-444-4-2-244-4-42222-2-2-2-2221-22-2-1-112-22-2-2112-1-121-14i−4i1-1−2i−2i2i2i−2i−2iiiii2i2i−i−i−i−i0000000000000000000000000000000000000000
χ874-4-444-4-2-244-4-42222-2-2-2-2221-22-2-1-112-22-2-2112-1-121-1−4i4i1-12i2i−2i−2i2i2i−i−i−i−i−2i−2iiiii0000000000000000000000000000000000000000
χ884-4-444-4-2-2-4-4442222-2-222-2-21-22-2-1-1122-222-1-1-211-21-100-110000−2i32i3i3i3−i3−i32i3−2i3−i3−i3i3i30000000000000000000000000000000000000000
χ894-4-444-4-2-2-4-4442222-2-222-2-21-22-2-1-1122-222-1-1-211-21-100-1100002i3−2i3−i3−i3i3i3−2i32i3i3i3−i3−i30000000000000000000000000000000000000000
χ904-4-44-444-24-4-44-4-422-24-2-222-2-44222-2-22-24-4-2-2-42242-2002-200000000000000000000000000000000000000000000000000000000
χ914-4-44-44-244-4-4422-4-44-244-4-4-22-2-422-24-44-22-2-2222-22-2002-200000000000000000000000000000000000000000000000000000000
χ924-4-44-44-24-444-422-4-44-2-4-444-22-2-422-244-42-222-2-2-222-200-2200000000000000000000000000000000000000000000000000000000
χ934-4-44-44-2-24-4-442222-2-2-2-22212-22-1-11-22-2-22112-1-1-2-1100-110000003i−3i−3i3i00−3i3i3i−3i0000000000000000000000000000000000000000
χ944-4-44-44-2-24-4-442222-2-2-2-22212-22-1-11-22-2-22112-1-1-2-1100-11000000−3i3i3i−3i003i−3i−3i3i0000000000000000000000000000000000000000
χ954-4-44-44-2-2-444-42222-2-222-2-212-22-1-11-2-222-2-1-1-2112-11001-1−2i32i32i3−2i300i3−i3i3−i300−i3i3−i3i30000000000000000000000000000000000000000
χ964-4-44-44-2-2-444-42222-2-222-2-212-22-1-11-2-222-2-1-1-2112-11001-12i3−2i3−2i32i300−i3i3−i3i300i3−i3i3−i30000000000000000000000000000000000000000
χ9788-8-800-480000-448-8-840000-4000-4440000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-40000-44-444443−4343−4320002-2-200000−23230−2323000000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-40000-44-4444−4343−434320002-2-20000023−23023−23000000000000000000000000000000000000000000000000000000000000000
χ1008-88-800-4800004-4-88-840000-40004-440000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-800-4-400004-44-44443−43−43432000-22-200000−2323023−23000000000000000000000000000000000000000000000000000000000000000
χ1028-88-800-4-400004-44-444−434343−432000-22-20000023−230−2323000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.