Finite Group Databasebeta

← Group #11784905

Character table — Group #11784905

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222224444444444444444444444888888888888888888881212121212121212121212122424242424242424242424242424242424243636363636363636
order122222334444666666666634444666666666121212121212121212121212121212121212121212121212121212124444121212121212121244888812121212242424242424242422224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ611111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111
χ711111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-111-1-111
χ811111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-111-1-1
χ91-1-111-11111-1-111-1-1-111-1-1-1111-1-11-111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1ii−i−iiiii−i−i−i−ii−ii−ii−iii−i−iii−i−iii−i−i1-11-11-11-1
χ101-1-111-11111-1-111-1-1-111-1-1-1111-1-11-111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1ii−i−iiiii−i−i−i−ii−i−ii−iiii−i−i−i−iii−i−iii-11-11-11-11
χ111-1-111-11111-1-111-1-1-111-1-1-1111-1-11-111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1−i−iii−i−i−i−iiiii−iii−ii−i−i−iiiii−i−iii−i−i-11-11-11-11
χ121-1-111-11111-1-111-1-1-111-1-1-1111-1-11-111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1−i−iii−i−i−i−iiiii−ii−ii−ii−i−iii−i−iii−i−iii1-11-11-11-1
χ131-1-111-11111-1-111-1-1-111-1-1-11-1-1111-111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111ii−i−iiiii−i−i−i−i−iii−i−ii−i−iiiii−i−i−i−iii1-1-111-1-11
χ141-1-111-11111-1-111-1-1-111-1-1-11-1-1111-111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111ii−i−iiiii−i−i−i−i−ii−iii−i−i−iii−i−iiiii−i−i-111-1-111-1
χ151-1-111-11111-1-111-1-1-111-1-1-11-1-1111-111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111−i−iii−i−i−i−iiiiii−ii−i−iiii−i−iii−i−i−i−iii-111-1-111-1
χ161-1-111-11111-1-111-1-1-111-1-1-11-1-1111-111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111−i−iii−i−i−i−iiiiii−i−iii−iii−i−i−i−iiiii−i−i1-1-111-1-11
χ1722222222-2-2-2-2222222222222-22-2222222222-2-2-2-2-2-2-2-222-2-222-2-2-2-2-2-222-2-222-2-200000000000000000000000000000000000000
χ1822222222-2-2-2-222222222222-22-22222222222-2-2-2-2-2-2-2-2-2-222-2-222-2-2-2-2-2-222-2-22200000000000000000000000000000000000000
χ192222222-12222222-1-12-1222-12222-1-1-1-1-1-1-1-1-122-1-122-1-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000022220000-1-1-1-1-1-1-1-100000000
χ202222222-12222222-1-12-1222-12222-1-1-1-1-1-1-1-1-122-1-122-1-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-2-2-200001111111100000000
χ212222222-12222222-1-12-1222-1-2-2-2-2-1-1-1-1-1-1-1-1-122-1-122-1-1-21-21-21-21-1-1-1-1111111110000000000000022-2-20000-1-1-1-1111100000000
χ222222222-12222222-1-12-1222-1-2-2-2-2-1-1-1-1-1-1-1-1-122-1-122-1-1-21-21-21-21-1-1-1-11111111100000000000000-2-22200001111-1-1-1-100000000
χ232222222-1-2-2-2-2222-1-12-1222-12-22-2-1-1-1-1-1-1-1-1-1-2-211-2-2112-1-212-1-211111-1-111-1-11100000000000000000000003−33−33−33−300000000
χ242222222-1-2-2-2-2222-1-12-1222-12-22-2-1-1-1-1-1-1-1-1-1-2-211-2-2112-1-212-1-211111-1-111-1-1110000000000000000000000−33−33−33−3300000000
χ252222222-1-2-2-2-2222-1-12-1222-1-22-22-1-1-1-1-1-1-1-1-1-2-211-2-211-212-1-212-1111111-1-111-1-100000000000000000000003−33−3−33−3300000000
χ262222222-1-2-2-2-2222-1-12-1222-1-22-22-1-1-1-1-1-1-1-1-1-2-211-2-211-212-1-212-1111111-1-111-1-10000000000000000000000−33−333−33−300000000
χ27222222-122222-1-1-122-12-1-1-1-1222222-1-1-1-1-1-1-1-1-122-1-122-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1220000-1-1-1-10000000000000000
χ28222222-122222-1-1-122-12-1-1-1-1222222-1-1-1-1-1-1-1-1-122-1-122-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2000011110000000000000000
χ29222222-122222-1-1-122-12-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-122-1-1221-21-21-21-2-1-1-1-1111111112222-1-1-1-1-1-1-1-1-2-2000011110000000000000000
χ30222222-122222-1-1-122-12-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-122-1-1221-21-21-21-2-1-1-1-111111111-2-2-2-211111111220000-1-1-1-10000000000000000
χ31222222-12-2-2-2-2-1-1-122-12-1-1-1-12-22-222-1-1-1-1-1-1-111-2-211-2-2-121-2-121-21111-1-111-1-1110000−i3−i3i3i3−i3−i3i3i3000000−i3i3−i3i30000000000000000
χ32222222-12-2-2-2-2-1-1-122-12-1-1-1-12-22-222-1-1-1-1-1-1-111-2-211-2-2-121-2-121-21111-1-111-1-1110000i3i3−i3−i3i3i3−i3−i3000000i3−i3i3−i30000000000000000
χ33222222-12-2-2-2-2-1-1-122-12-1-1-1-1-22-2222-1-1-1-1-1-1-111-2-211-2-21-2-121-2-12111111-1-111-1-10000−i3−i3i3i3−i3−i3i3i3000000i3−i3i3−i30000000000000000
χ34222222-12-2-2-2-2-1-1-122-12-1-1-1-1-22-2222-1-1-1-1-1-1-111-2-211-2-21-2-121-2-12111111-1-111-1-10000i3i3−i3−i3i3i3−i3−i3000000−i3i3−i3i30000000000000000
χ352222-2-2222-22-2-2-222222-2-2220000-2-2-2-222-2-222-22-22-22-2000000002-22-200000000000000000000000000000000000000002200-2-2
χ362222-2-2222-22-2-2-222222-2-2220000-2-2-2-222-2-222-22-22-22-2000000002-22-20000000000000000000000000000000000000000-2-20022
χ372222-2-222-22-22-2-222222-2-2220000-2-2-2-222-2-22-22-22-22-2200000000-22-22000000000000000000000000000000000000002200-2-200
χ382222-2-222-22-22-2-222222-2-2220000-2-2-2-222-2-22-22-22-22-2200000000-22-2200000000000000000000000000000000000000-2-2002200
χ392-2-222-222-2-22222-2-2-222-2-2-222-2-222-222-2-2-2-22-2-2-2-2222222-2-2-2-222-2-22222-2-2-2-22200000000000000000000000000000000000000
χ402-2-222-222-2-22222-2-2-222-2-2-22-222-22-222-2-2-2-22-2-2-2-22222-2-22222-2-2-2-222-2-22222-2-200000000000000000000000000000000000000
χ412-2-222-22-122-2-222-2112-1-2-2-2-122-2-2-11-1-11111-122-1-1-2-2112-12-1-21-21-1-111-1-1-1-11111000000000000002i−2i2i−2i0000−i−iii−i−iii00000000
χ422-2-222-22-122-2-222-2112-1-2-2-2-122-2-2-11-1-11111-122-1-1-2-2112-12-1-21-21-1-111-1-1-1-1111100000000000000−2i2i−2i2i0000ii−i−iii−i−i00000000
χ432-2-222-22-122-2-222-2112-1-2-2-2-1-2-222-11-1-11111-122-1-1-2-211-21-212-12-1-1-1111111-1-1-1-1000000000000002i−2i−2i2i0000−i−iiiii−i−i00000000
χ442-2-222-22-122-2-222-2112-1-2-2-2-1-2-222-11-1-11111-122-1-1-2-211-21-212-12-1-1-1111111-1-1-1-100000000000000−2i2i2i−2i0000ii−i−i−i−iii00000000
χ452-2-222-22-1-2-22222-2112-1-2-2-2-12-2-22-11-1-11111-1-2-21122-1-12-1-21-212-111-1-1-1-11111-1-10000000000000000000000−i3i3i3−i3−i3i3i3−i300000000
χ462-2-222-22-1-2-22222-2112-1-2-2-2-12-2-22-11-1-11111-1-2-21122-1-12-1-21-212-111-1-1-1-11111-1-10000000000000000000000i3−i3−i3i3i3−i3−i3i300000000
χ472-2-222-22-1-2-22222-2112-1-2-2-2-1-222-2-11-1-11111-1-2-21122-1-1-212-12-1-2111-1-111-1-1-1-1110000000000000000000000−i3i3i3−i3i3−i3−i3i300000000
χ482-2-222-22-1-2-22222-2112-1-2-2-2-1-222-2-11-1-11111-1-2-21122-1-1-212-12-1-2111-1-111-1-1-1-1110000000000000000000000i3−i3−i3i3−i3i3i3−i300000000
χ492-2-222-2-1222-2-2-1-11-2-2-12111-122-2-22-2-1-11111-1-1-12211-2-2-12-121-21-2-1-111-1-1-1-111112i2i−2i−2i−i−i−i−iiiii2i−2i0000−i−iii0000000000000000
χ502-2-222-2-1222-2-2-1-11-2-2-12111-122-2-22-2-1-11111-1-1-12211-2-2-12-121-21-2-1-111-1-1-1-11111−2i−2i2i2iiiii−i−i−i−i−2i2i0000ii−i−i0000000000000000
χ512-2-222-2-1222-2-2-1-11-2-2-12111-1-2-2222-2-1-11111-1-1-12211-2-21-21-2-12-12-1-1111111-1-1-1-12i2i−2i−2i−i−i−i−iiiii−2i2i0000ii−i−i0000000000000000
χ522-2-222-2-1222-2-2-1-11-2-2-12111-1-2-2222-2-1-11111-1-1-12211-2-21-21-2-12-12-1-1111111-1-1-1-1−2i−2i2i2iiiii−i−i−i−i2i−2i0000−i−iii0000000000000000
χ532-2-222-2-12-2-222-1-11-2-2-12111-12-2-222-2-1-11111-111-2-2-1-122-121-21-2-1211-1-1-1-11111-1-1000033−3−3−3−3330000003−3−330000000000000000
χ542-2-222-2-12-2-222-1-11-2-2-12111-12-2-222-2-1-11111-111-2-2-1-122-121-21-2-1211-1-1-1-11111-1-10000−3−33333−3−3000000−333−30000000000000000
χ552-2-222-2-12-2-222-1-11-2-2-12111-1-222-22-2-1-11111-111-2-2-1-1221-2-12-121-211-1-111-1-1-1-111000033−3−3−3−333000000−333−30000000000000000
χ562-2-222-2-12-2-222-1-11-2-2-12111-1-222-22-2-1-11111-111-2-2-1-1221-2-12-121-211-1-111-1-1-1-1110000−3−33333−3−30000003−3−330000000000000000
χ572-2-22-22222-2-22-2-2-2-2-22222-220000-22-2-2-2-22222-22-2-22-22000000002-2-2200000000000000000000000000000000000000002-200-22
χ582-2-22-22222-2-22-2-2-2-2-22222-220000-22-2-2-2-22222-22-2-22-22000000002-2-220000000000000000000000000000000000000000-22002-2
χ592-2-22-2222-222-2-2-2-2-2-22222-220000-22-2-2-2-2222-22-222-22-200000000-222-2000000000000000000000000000000000000002-200-2200
χ602-2-22-2222-222-2-2-2-2-2-22222-220000-22-2-2-2-2222-22-222-22-200000000-222-200000000000000000000000000000000000000-22002-200
χ61444444-2-24444-2-2-2-2-2-2-2-2-2-214444-2-21111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000000000
χ62444444-2-24444-2-2-2-2-2-2-2-2-2-21-4-4-4-4-2-21111111-2-2-2-2-2-2-2-2222222221111-1-1-1-1-1-1-1-100000000000000000000000000000000000000
χ63444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-214-44-4-2-2111111122222222-2-222-2-222-1-1-1-111-1-111-1-100000000000000000000000000000000000000
χ64444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-21-44-44-2-211111112222222222-2-222-2-2-1-1-1-1-1-111-1-11100000000000000000000000000000000000000
χ654444-4-44-24-44-4-4-44-2-24-2-4-44-200002222-2-222-24-4-224-4-2200000000-22-220000000000000000000000000000000000000000000000
χ664444-4-44-2-44-44-4-44-2-24-2-4-44-200002222-2-222-2-442-2-442-2000000002-22-20000000000000000000000000000000000000000000000
χ674444-4-4-244-44-422-244-2422-2-20000-4-422-2-222-2-224-4-224-400000000-22-220000000000000000000000000000000000000000000000
χ684444-4-4-24-44-4422-244-2422-2-20000-4-422-2-222-22-2-442-2-44000000002-22-20000000000000000000000000000000000000000000000
χ694444-4-4-2-24-44-422-2-2-2-2-222-21000022-1-111-1-11-22-22-22-22000000001-11-13-33-33-33-300000000000000000000000000000000000000
χ704444-4-4-2-24-44-422-2-2-2-2-222-21000022-1-111-1-11-22-22-22-22000000001-11-1-33-33-33-3300000000000000000000000000000000000000
χ714444-4-4-2-2-44-4422-2-2-2-2-222-21000022-1-111-1-112-22-22-22-200000000-11-113-3-333-3-3300000000000000000000000000000000000000
χ724444-4-4-2-2-44-4422-2-2-2-2-222-21000022-1-111-1-112-22-22-22-200000000-11-11-333-3-333-300000000000000000000000000000000000000
χ7344-4-4004400000044-4-4-400-44000000004-400-400000000000000000000000000002-22-22-22-22-22-200000000000000000000000000
χ7444-4-4004400000044-4-4-400-44000000004-400-40000000000000000000000000000-22-22-22-22-22-2200000000000000000000000000
χ7544-4-400-240000−2i32i3-24-42-4−2i32i32-2000000−2i32i3-22−2i32i3200000000000000000000000000002-22-2−1−i31+i3−1+i31−i3−1−i31+i3−1+i31−i300000000000000000000000000
χ7644-4-400-240000−2i32i3-24-42-4−2i32i32-2000000−2i32i3-22−2i32i320000000000000000000000000000-22-221+i3−1−i31−i3−1+i31+i3−1−i31−i3−1+i300000000000000000000000000
χ7744-4-400-2400002i3−2i3-24-42-42i3−2i32-20000002i3−2i3-222i3−2i3200000000000000000000000000002-22-2−1+i31−i3−1−i31+i3−1+i31−i3−1−i31+i300000000000000000000000000
χ7844-4-400-2400002i3−2i3-24-42-42i3−2i32-20000002i3−2i3-222i3−2i320000000000000000000000000000-22-221−i3−1+i31+i3−1−i31−i3−1+i31+i3−1−i300000000000000000000000000
χ794-44-40044000000-4-44-4-4004400000000-4400-400000000000000000000000000002i−2i−2i2i2i−2i2i−2i−2i2i−2i2i00000000000000000000000000
χ804-44-40044000000-4-44-4-4004400000000-4400-40000000000000000000000000000−2i2i2i−2i−2i2i−2i2i2i−2i2i−2i00000000000000000000000000
χ814-44-400-240000−2i32i32-442-42i3−2i3-2-2000000−2i32i32-22i3−2i3200000000000000000000000000002i−2i−2i2i2ζ11−2ζ112ζ7−2ζ7−2ζ112ζ11−2ζ72ζ700000000000000000000000000
χ824-44-400-240000−2i32i32-442-42i3−2i3-2-2000000−2i32i32-22i3−2i320000000000000000000000000000−2i2i2i−2i−2ζ112ζ11−2ζ72ζ72ζ11−2ζ112ζ7−2ζ700000000000000000000000000
χ834-44-400-2400002i3−2i32-442-4−2i32i3-2-20000002i3−2i32-2−2i32i3200000000000000000000000000002i−2i−2i2i2ζ7−2ζ72ζ11−2ζ11−2ζ72ζ7−2ζ112ζ1100000000000000000000000000
χ844-44-400-2400002i3−2i32-442-4−2i32i3-2-20000002i3−2i32-2−2i32i320000000000000000000000000000−2i2i2i−2i−2ζ72ζ7−2ζ112ζ112ζ7−2ζ72ζ11−2ζ1100000000000000000000000000
χ854-4-444-4-2-244-4-4-2-2222-2-2222144-4-4-2211-1-1-1-11-2-2-2-22222-2-2-2-2222211-1-11111-1-1-1-100000000000000000000000000000000000000
χ864-4-444-4-2-244-4-4-2-2222-2-22221-4-444-2211-1-1-1-11-2-2-2-222222222-2-2-2-211-1-1-1-1-1-1111100000000000000000000000000000000000000
χ874-4-444-4-2-2-4-444-2-2222-2-222214-4-44-2211-1-1-1-112222-2-2-2-2-2-22222-2-2-1-11111-1-1-1-11100000000000000000000000000000000000000
χ884-4-444-4-2-2-4-444-2-2222-2-22221-444-4-2211-1-1-1-112222-2-2-2-222-2-2-2-222-1-111-1-11111-1-100000000000000000000000000000000000000
χ894-4-44-444-24-4-44-4-4-4224-244-4-200002-22222-2-2-24-4-22-442-200000000-222-20000000000000000000000000000000000000000000000
χ904-4-44-444-2-444-4-4-4-4224-244-4-200002-22222-2-2-2-442-24-4-22000000002-2-220000000000000000000000000000000000000000000000
χ914-4-44-44-244-4-44222-4-4-24-2-22-20000-442222-2-2-2-224-42-2-4400000000-222-20000000000000000000000000000000000000000000000
χ924-4-44-44-24-444-4222-4-4-24-2-22-20000-442222-2-2-22-2-44-224-4000000002-2-220000000000000000000000000000000000000000000000
χ934-4-44-44-2-24-4-4422222-2-2-2-22100002-2-1-1-1-1111-22-222-22-2000000001-1-113-33-3-33-3300000000000000000000000000000000000000
χ944-4-44-44-2-24-4-4422222-2-2-2-22100002-2-1-1-1-1111-22-222-22-2000000001-1-11-33-333-33-300000000000000000000000000000000000000
χ954-4-44-44-2-2-444-422222-2-2-2-22100002-2-1-1-1-11112-22-2-22-2200000000-111-13-3-33-333-300000000000000000000000000000000000000
χ964-4-44-44-2-2-444-422222-2-2-2-22100002-2-1-1-1-11112-22-2-22-2200000000-111-1-333-33-3-3300000000000000000000000000000000000000
χ9788-8-8008-40000008-44-8400-8-400000000-44004000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-40000−4i34i3-4-4444−4i34i3420000002i3−2i32-22i3−2i3-2000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-400004i3−4i3-4-44444i3−4i342000000−2i32i32-2−2i32i3-2000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8008-4000000-84-4-84008-4000000004-4004000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-800-4-40000−4i34i344-4444i3−4i3-420000002i3−2i3-22−2i32i3-2000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-800-4-400004i3−4i344-444−4i34i3-42000000−2i32i3-222i3−2i3-2000000000000000000000000000000000000000000000000000000000000000000

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