Finite Group Databasebeta

← Group #11867813

Character table — Group #11867813

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order12222233444466666612121212366666661212121212121212121288884466121212121212121212121212121212121212888888242424242424242424446612121212121224242424224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ411111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-111-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-111111-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1
χ91111-1-1111-1-11111111-1-1-1-11-1-1-1-11111-1-11-1-1-1-11111111-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-11-11-11-1
χ101111-1-1111-1-11111111-1-1-1-11-1-1-1-11111-1-11-1-1-1-11111111-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11-11-111-1-1-1-111-1-111-11-11-11
χ111111-1-1111-1-11111111-1-1-1-11-1-1-1-11111-1-11-1-1-1-1111111-11-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-111-1-111-1-11111-1-11-11-1-11
χ121111-1-1111-1-11111111-1-1-1-11-1-1-1-11111-1-11-1-1-1-1111111-11-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-11-11-1-11111-1-1-1-111-11-111-1
χ131111-1-1111-1-11111111-1-1-1-11-1-1-1-11111-1-11-1-1-1-111-1-1-1-11-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-11-11-1-11111-1-111-1-1-11-11-11
χ141111-1-1111-1-11111111-1-1-1-11-1-1-1-11111-1-11-1-1-1-111-1-1-1-11-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-111-1-111-1-111-1-1111-11-11-1
χ151111-1-1111-1-11111111-1-1-1-11-1-1-1-11111-1-11-1-1-1-111-1-1-1-1-11-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-111111-11-111-1-1-1-11111-1-1-11-111-1
χ161111-1-1111-1-11111111-1-1-1-11-1-1-1-11111-1-11-1-1-1-111-1-1-1-1-11-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-1-1-1111111-1-111-1-111-1-1-1-1111-11-1-11
χ1722222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-20000002200000000-2-2000000000000000000000000000000000000002-2-2200
χ1822222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-20000002200000000-2-200000000000000000000000000000000000000-222-200
χ192222222-1222222-1-1-12-1-1-1-1-122-1-1-1-1-1222-1-1-1-1-12-1222222-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1220000-1-1-1-1-1-1-1-12002-1-1-1-100000000000000
χ202222222-1222222-1-1-12-1-1-1-1-122-1-1-1-1-1222-1-1-1-1-12-12222-2-2-1-1-2-21111-2-2-1-111111111220000-1-1-1-1-1-1-1-1-200-2111100000000000000
χ212222222-1222222-1-1-12-1-1-1-1-122-1-1-1-1-1222-1-1-1-1-12-1-2-2-2-222-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2000011111111-200-2111100000000000000
χ222222222-1222222-1-1-12-1-1-1-1-122-1-1-1-1-1222-1-1-1-1-12-1-2-2-2-2-2-2-1-1-2-21111-2-2-1-111111111-2-20000111111112002-1-1-1-100000000000000
χ23222222-122222-1-1222-12222-1-1-122-1-1-1-1-1-12-1-1-1-1-12000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10022220000000002200000-1-1-1-1-1-1-1-1000000
χ24222222-122222-1-1222-12222-1-1-122-1-1-1-1-1-12-1-1-1-1-12000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2000000000-2-20000011111111000000
χ25222222-122222-1-1222-12222-1-1-122-1-1-1-1-1-12-1-1-1-1-120000-2-2-1-111-2-2-2-211-1-111111111002222000000000-2-2000001111-1-1-1-1000000
χ26222222-122222-1-1222-12222-1-1-122-1-1-1-1-1-12-1-1-1-1-120000-2-2-1-111-2-2-2-211-1-11111111100-2-2-2-20000000002200000-1-1-1-11111000000
χ272222-2-222-222-222222222222-2-2-2-2222-222-22222-2-2000000-2-200000000-2-20000000000000000000000000000000000000022-2-200
χ282222-2-222-222-222222222222-2-2-2-2222-222-22222-2-2000000-2-200000000-2-200000000000000000000000000000000000000-2-22200
χ292222-2-22-12-2-2222-1-1-121111-1-2-211-1-1-12-2-2-111112-122222-21122-1-111-2-2-1-1-1-1-1-11111-2-20000-1-1-1-11111200-2-1-11100000000000000
χ302222-2-22-12-2-2222-1-1-121111-1-2-211-1-1-12-2-2-111112-12222-2211-2-211-1-122-1-11111-1-1-1-1-2-20000-1-1-1-11111-200211-1-100000000000000
χ312222-2-22-12-2-2222-1-1-121111-1-2-211-1-1-12-2-2-111112-1-2-2-2-22-21122-1-111-2-2-1-1-1-1-1-111112200001111-1-1-1-1-200211-1-100000000000000
χ322222-2-22-12-2-2222-1-1-121111-1-2-211-1-1-12-2-2-111112-1-2-2-2-2-2211-2-211-1-122-1-11111-1-1-1-12200001111-1-1-1-1200-2-1-11100000000000000
χ332222-2-2-122-2-22-1-1222-1-2-2-2-2-111-2-2-1-1-1-11121111-1200002-211-1-122-2-211-1-1-1-1-1-111110022-2-20000000002-200000-1-111-1-111000000
χ342222-2-2-122-2-22-1-1222-1-2-2-2-2-111-2-2-1-1-1-11121111-1200002-211-1-122-2-211-1-1-1-1-1-1111100-2-222000000000-220000011-1-111-1-1000000
χ352222-2-2-122-2-22-1-1222-1-2-2-2-2-111-2-2-1-1-1-11121111-120000-221111-2-222-1-1-1-11111-1-1-1-10022-2-2000000000-220000011-1-1-1-111000000
χ362222-2-2-122-2-22-1-1222-1-2-2-2-2-111-2-2-1-1-1-11121111-120000-221111-2-222-1-1-1-11111-1-1-1-100-2-2220000000002-200000-1-11111-1-1000000
χ372-2-222-22222-2-22-2-2-22-222-2-222-22-22-2-222-2222-2-2-2-22i2i−2i−2i002-2000000002-2000000002i−2i00002i2i−2i−2i2i2i−2i−2i0000000000000000000000
χ382-2-222-22222-2-22-2-2-22-222-2-222-22-22-2-222-2222-2-2-2-2−2i−2i2i2i002-2000000002-200000000−2i2i0000−2i−2i2i2i−2i−2i2i2i0000000000000000000000
χ392-2-222-222-2-2222-2-2-22-2-2-22222-22-22-2-2-2-22-2-2-222220000002-200000000-2200000000002-22-2000000000000000000002-22-2000000
χ402-2-222-222-2-2222-2-2-22-2-2-22222-22-22-2-2-2-22-2-2-222220000002-200000000-220000000000-22-2200000000000000000000-22-22000000
χ412-2-222-22-122-2-22-211-1-2-1-111-12-2-11-11122-2-1-1-111-212i2i−2i−2i00-11003−33−300-1133−3−333−3−32i−2i0000−i−iii−i−iii0000−i3i3−i3i300000000000000
χ422-2-222-22-122-2-22-211-1-2-1-111-12-2-11-11122-2-1-1-111-212i2i−2i−2i00-1100−33−3300-11−3−333−3−3332i−2i0000−i−iii−i−iii0000i3−i3i3−i300000000000000
χ432-2-222-22-122-2-22-211-1-2-1-111-12-2-11-11122-2-1-1-111-21−2i−2i2i2i00-11003−33−300-1133−3−333−3−3−2i2i0000ii−i−iii−i−i0000i3−i3i3−i300000000000000
χ442-2-222-22-122-2-22-211-1-2-1-111-12-2-11-11122-2-1-1-111-21−2i−2i2i2i00-1100−33−3300-11−3−333−3−333−2i2i0000ii−i−iii−i−i0000−i3i3−i3i300000000000000
χ452-2-222-2-12-2-222-11-2-221-2-222-1-112-2-11111-1-211-1-1-12000000-113−300003−31-13−33−33−33−3002-22-200000000000000003−33−3-11-11000000
χ462-2-222-2-12-2-222-11-2-221-2-222-1-112-2-11111-1-211-1-1-12000000-113−300003−31-13−33−33−33−300-22-220000000000000000−33−331-11-1000000
χ472-2-222-2-12-2-222-11-2-221-2-222-1-112-2-11111-1-211-1-1-12000000-11−330000−331-1−33−33−33−33002-22-20000000000000000−33−33-11-11000000
χ482-2-222-2-12-2-222-11-2-221-2-222-1-112-2-11111-1-211-1-1-12000000-11−330000−331-1−33−33−33−3300-22-2200000000000000003−33−31-11-1000000
χ492-2-22-22222-22-22-2-2-22-2-2-2222-22-222-2-22-222-2-222-2-22i2i−2i−2i00-22000000002-200000000−2i2i00002i2i−2i−2i−2i−2i2i2i0000000000000000000000
χ502-2-22-22222-22-22-2-2-22-2-2-2222-22-222-2-22-222-2-222-2-2−2i−2i2i2i00-22000000002-2000000002i−2i0000−2i−2i2i2i2i2i−2i−2i0000000000000000000000
χ512-2-22-2222-22-222-2-2-22-222-2-22-22-222-2-2-22-2-222-2-222000000-2200000000-2200000000002-2-22000000000000000000002-2-22000000
χ522-2-22-2222-22-222-2-2-22-222-2-22-22-222-2-2-22-2-222-2-222000000-2200000000-220000000000-222-200000000000000000000-222-2000000
χ532-2-22-222-12-22-22-211-1-211-1-1-1-221-1-1112-22-111-1-1-212i2i−2i−2i001-1003−3−3300-1133−3−3−3−333−2i2i0000−i−iiiii−i−i0000−i3i3i3−i300000000000000
χ542-2-22-222-12-22-22-211-1-211-1-1-1-221-1-1112-22-111-1-1-212i2i−2i−2i001-100−333−300-11−3−33333−3−3−2i2i0000−i−iiiii−i−i0000i3−i3−i3i300000000000000
χ552-2-22-222-12-22-22-211-1-211-1-1-1-221-1-1112-22-111-1-1-21−2i−2i2i2i001-1003−3−3300-1133−3−3−3−3332i−2i0000ii−i−i−i−iii0000i3−i3−i3i300000000000000
χ562-2-22-222-12-22-22-211-1-211-1-1-1-221-1-1112-22-111-1-1-21−2i−2i2i2i001-100−333−300-11−3−33333−3−32i−2i0000ii−i−i−i−iii0000−i3i3i3−i300000000000000
χ572-2-22-22-12-22-22-11-2-22122-2-2-11-1-22-1111-11-2-1-111-120000001-13−30000−331-13−33−3−33−33002-2-2200000000000000003−3−33-111-1000000
χ582-2-22-22-12-22-22-11-2-22122-2-2-11-1-22-1111-11-2-1-111-120000001-13−30000−331-13−33−3−33−3300-222-20000000000000000−333−31-1-11000000
χ592-2-22-22-12-22-22-11-2-22122-2-2-11-1-22-1111-11-2-1-111-120000001-1−3300003−31-1−33−333−33−3002-2-220000000000000000−333−3-111-1000000
χ602-2-22-22-12-22-22-11-2-22122-2-2-11-1-22-1111-11-2-1-111-120000001-1−3300003−31-1−33−333−33−300-222-200000000000000003−3−331-1-11000000
χ614444444-2-4-4-4-444-2-2-242222-244-2-2-2-2-2-4-4-422222-42000000-2-2000000002200000000000000000000000000000000000000000000
χ62444444-24-4-4-4-4-2-2444-2-4-4-4-4-2-2-244-2-2-2222-422222-4000000-2-2000000002200000000000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-21111-2-200004411-2-2-2-2-2-2-2-21111111111000000000000000000000000000000000000
χ64444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-21111-2-20000-4-4112222222211-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2-21112222-1-1-1-1220000001100000000-1-13-3-333-3-33000000000000000000000000000000000000
χ66444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2-21112222-1-1-1-1220000001100000000-1-1-333-3-333-3000000000000000000000000000000000000
χ674444-4-44-2-444-444-2-2-24-2-2-2-2-2-4-422-2-2-2-4442-2-2-2-2-4200000022000000002200000000000000000000000000000000000000000000
χ684444-4-4-24-444-4-2-2444-24444-222-4-4-2-2-22-2-2-4-2-2-2-22-400000022000000002200000000000000000000000000000000000000000000
χ694444-4-4-2-24-4-44-2-2-2-2-2-2222212222111-222-2-1-1-1-1-2-200004-4-1-1-2-2-2-22222111111-1-1-1-1000000000000000000000000000000000000
χ704444-4-4-2-24-4-44-2-2-2-2-2-2222212222111-222-2-1-1-1-1-2-20000-44-1-12222-2-2-2-211-1-1-1-11111000000000000000000000000000000000000
χ714444-4-4-2-2-444-4-2-2-2-2-2-2-2-2-2-2122221112-2-22111122000000-1-100000000-1-13-3-33-333-3000000000000000000000000000000000000
χ724444-4-4-2-2-444-4-2-2-2-2-2-2-2-2-2-2122221112-2-22111122000000-1-100000000-1-1-333-33-3-33000000000000000000000000000000000000
χ7344-4-400440000-444-4-4-4000040000-44-4000000000022−2222−22000000000000000000000000000022−2222−2200000000000000000000000000
χ7444-4-400440000-444-4-4-4000040000-44-40000000000−2222−22220000000000000000000000000000−2222−222200000000000000000000000000
χ7544-4-4004-20000-44-222-423−2323−23-200002-22000023−2323−230022−2222−220000000000000000000000000000−22−226−66−60000000000000000000000
χ7644-4-4004-20000-44-222-423−2323−23-200002-22000023−2323−2300−2222−222200000000000000000000000000002−22−2−66−660000000000000000000000
χ7744-4-4004-20000-44-222-4−2323−2323-200002-220000−2323−23230022−2222−220000000000000000000000000000−22−22−66−660000000000000000000000
χ7844-4-4004-20000-44-222-4−2323−2323-200002-220000−2323−232300−2222−222200000000000000000000000000002−22−26−66−60000000000000000000000
χ794-44-400440000-4-4-44-44000040000-4-440000000000−2i22i22i2−2i20000000000000000000000000000−2i22i22i2−2i200000000000000000000000000
χ804-44-400440000-4-4-44-44000040000-4-4400000000002i2−2i2−2i22i200000000000000000000000000002i2−2i2−2i22i200000000000000000000000000
χ814-44-4004-20000-4-42-22423−23−2323-2000022-2000023−23−232300−2i22i22i2−2i20000000000000000000000000000i2−i2−i2i2−i6i6i6−i60000000000000000000000
χ824-44-4004-20000-4-42-22423−23−2323-2000022-2000023−23−2323002i2−2i2−2i22i20000000000000000000000000000−i2i2i2−i2i6−i6−i6i60000000000000000000000
χ834-44-4004-20000-4-42-224−232323−23-2000022-20000−232323−2300−2i22i22i2−2i20000000000000000000000000000i2−i2−i2i2i6−i6−i6i60000000000000000000000
χ844-44-4004-20000-4-42-224−232323−23-2000022-20000−232323−23002i2−2i2−2i22i20000000000000000000000000000−i2i2i2−i2−i6i6i6−i60000000000000000000000
χ854-4-444-44-2-4-4444-422-2-422-2-2-24-4-22-222-4-44222-2-24-2000000-22000000002-200000000000000000000000000000000000000000000
χ864-4-444-4-2444-4-4-22-4-44244-4-4-2-224-4-222-2-224-2-2222-4000000-2200000000-2200000000000000000000000000000000000000000000
χ874-4-444-4-2-244-4-4-2222-22-2-2221-22-221-1-1-2-22-211-1-1220000001-10023−2323−23001-1−3−333−3−333000000000000000000000000000000000000
χ884-4-444-4-2-244-4-4-2222-22-2-2221-22-221-1-1-2-22-211-1-1220000001-100−2323−2323001-133−3−333−3−3000000000000000000000000000000000000
χ894-4-444-4-2-2-4-444-2222-2222-2-21-22-221-1-122-22-1-111-2-20000001-123−23000023−23-11−33−33−33−33000000000000000000000000000000000000
χ904-4-444-4-2-2-4-444-2222-2222-2-21-22-221-1-122-22-1-111-2-20000001-1−23230000−2323-113−33−33−33−3000000000000000000000000000000000000
χ914-4-44-444-2-44-444-422-2-4-2-222-2-442-2-222-44-42-2-2224-20000002-2000000002-200000000000000000000000000000000000000000000
χ924-4-44-44-244-44-4-22-4-442-4-444-22-2-44-222-22-2422-2-22-40000002-200000000-2200000000000000000000000000000000000000000000
χ934-4-44-44-2-24-44-4-2222-2222-2-212-22-21-1-1-22-2-2-1-11122000000-110023−23−2323001-1−3−33333−3−3000000000000000000000000000000000000
χ944-4-44-44-2-24-44-4-2222-2222-2-212-22-21-1-1-22-2-2-1-11122000000-1100−232323−23001-133−3−3−3−333000000000000000000000000000000000000
χ954-4-44-44-2-2-44-44-2222-22-2-22212-22-21-1-12-22211-1-1-2-2000000-1123−230000−2323-11−33−333−33−3000000000000000000000000000000000000
χ964-4-44-44-2-2-44-44-2222-22-2-22212-22-21-1-12-22211-1-1-2-2000000-11−2323000023−23-113−33−3−33−33000000000000000000000000000000000000
χ9788-8-800-4800004-48-8-840000-400004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-400004-4-444443−4343−4320000-22-20000−2323−23230000000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-400004-4-4444−4343−434320000-22-2000023−2323−230000000000000000000000000000000000000000000000000000000000000000
χ1008-88-800-48000044-88-8-40000-4000044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-800-4-40000444-44-443−43−434320000-2-220000−232323−230000000000000000000000000000000000000000000000000000000000000000
χ1028-88-800-4-40000444-44-4−434343−4320000-2-22000023−23−23230000000000000000000000000000000000000000000000000000000000000000

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