Finite Group Databasebeta

← Group #11788687

Character table — Group #11788687

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121218181818242424242424242424242424242424242424242436367272
order122222334444666666366666666666121212121212121244121212121212121212121212121212121212121222448888888866888812122424242424242424242424248844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1111111-1-1
χ91-1-111-11111-1-1-1-11-1-1111-11-111-1-1-11-11-111-11-1-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i1-11-1ii−i−iii−i−i1-1i−i1-11-1ii−i−iii−i−i11-1-1i−i1-1
χ101-1-111-11111-1-1-1-11-1-1111-11-111-1-1-11-11-111-11-1-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i1-11-1−i−iii−i−iii1-1i−i-111-1ii−i−i−i−iii-1-111−ii-11
χ111-1-111-11111-1-1-1-11-1-1111-11-111-1-1-11-11-111-11-1-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i-11-11ii−i−i−i−iii-11−ii1-1-11−i−iiiii−i−i11-1-1−ii-11
χ121-1-111-11111-1-1-1-11-1-1111-11-111-1-1-11-11-111-11-1-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i-11-11−i−iiiii−i−i-11−ii-11-11−i−iii−i−iii-1-111i−i1-1
χ131-1-111-11111-1-1-1-11-1-1111-11-111-1-1-11-11-111-11-1-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii1-11-1ii−i−iii−i−i1-1−ii-111-1−i−iiiii−i−i-1-111i−i-11
χ141-1-111-11111-1-1-1-11-1-1111-11-111-1-1-11-11-111-11-1-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii1-11-1−i−iii−i−iii1-1−ii1-11-1−i−iii−i−iii11-1-1−ii1-1
χ151-1-111-11111-1-1-1-11-1-1111-11-111-1-1-11-11-111-11-1-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii-11-11ii−i−i−i−iii-11i−i-11-11ii−i−iii−i−i-1-111−ii1-1
χ161-1-111-11111-1-1-1-11-1-1111-11-111-1-1-11-11-111-11-1-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii-11-11−i−iiiii−i−i-11i−i1-1-11ii−i−i−i−iii11-1-1i−i-11
χ1722222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-20000000000002i−2i2i−2i00000000000000002i−2i2i−2i00000000
χ1822222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-2000000000000−2i2i−2i2i0000000000000000−2i2i−2i2i00000000
χ192222222-122222-122-1-1-122-1-1-1-1-1-1-1-1-122-1-1-122-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200000000-1-12200-1-1-1-1-1-1000000000000
χ202222222-122222-122-1-1-122-1-1-1-1-1-1-1-1-122-1-1-122-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000011-2-200111111000000000000
χ212222222-122222-122-1-1-122-1-1-1-1-1-1-1-1-122-1-1-122-1-2-2-2-211-2-211-1-1-1-111111111222200000000-1-1-2-200-1-11111000000000000
χ222222222-122222-122-1-1-122-1-1-1-1-1-1-1-1-122-1-1-122-1-2-2-2-211-2-211-1-1-1-111111111-2-2-2-20000000011220011-1-1-1-1000000000000
χ23222222-122222-12-1-122-1-1-122-1-1-1-1-1-1-1-1-1222-1-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1000022220000000022000000-1-1-1-1-1-1-1-10000
χ24222222-122222-12-1-122-1-1-122-1-1-1-1-1-1-1-1-1222-1-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000000-2-2000000111111110000
χ25222222-122222-12-1-122-1-1-122-1-1-1-1-1-1-1-1-1222-1-12-2-211-2-211-2-2-1-1-1-1111111110000222200000000-2-2000000-1-1-1-111110000
χ26222222-122222-12-1-122-1-1-122-1-1-1-1-1-1-1-1-1222-1-12-2-211-2-211-2-2-1-1-1-1111111110000-2-2-2-200000000220000001111-1-1-1-10000
χ27222222-12-2-2-2-2-12-1-122-1-1-122-1-1-1-1-1-1-111-2-2-211-200−i3i300−i3i3001111−i3−i3i3i3−i3−i3i3i300002i−2i2i−2i0000000000000000−ii−ii3−33−30000
χ28222222-12-2-2-2-2-12-1-122-1-1-122-1-1-1-1-1-1-111-2-2-211-200−i3i300−i3i3001111−i3−i3i3i3−i3−i3i3i30000−2i2i−2i2i0000000000000000i−ii−i−33−330000
χ29222222-12-2-2-2-2-12-1-122-1-1-122-1-1-1-1-1-1-111-2-2-211-200i3−i300i3−i3001111i3i3−i3−i3i3i3−i3−i300002i−2i2i−2i0000000000000000−ii−ii−33−330000
χ30222222-12-2-2-2-2-12-1-122-1-1-122-1-1-1-1-1-1-111-2-2-211-200i3−i300i3−i3001111i3i3−i3−i3i3i3−i3−i30000−2i2i−2i2i0000000000000000i−ii−i3−33−30000
χ312222-2-2222-2-222222222-2-2-2-2-2-22-2-2222-22-22-22-200000000002-22-20000000000000000222200000000000000000000-2-200
χ322222-2-2222-2-222222222-2-2-2-2-2-22-2-2222-22-22-22-200000000002-22-20000000000000000-2-2-2-2000000000000000000002200
χ332222-2-222-222-22222222-2-2-2-2-2-22-2-222-22-22-22-220000000000-22-220000000022-2-200000000220000-2-20000000000000000
χ342222-2-222-222-22222222-2-2-2-2-2-22-2-222-22-22-22-220000000000-22-2200000000-2-22200000000-2-20000220000000000000000
χ352222-2-22-1-222-22-122-1-1-1-2-21111-111-1-1-221-112-2-10000−i3i300−i3i31-11-1−i3i3−i3i3−i3i3−i3i322-2-200000000-1-1000011−i3i3−i3i3000000000000
χ362222-2-22-1-222-22-122-1-1-1-2-21111-111-1-1-221-112-2-10000−i3i300−i3i31-11-1−i3i3−i3i3−i3i3−i3i3-2-22200000000110000-1-1i3−i3i3−i3000000000000
χ372222-2-22-1-222-22-122-1-1-1-2-21111-111-1-1-221-112-2-10000i3−i300i3−i31-11-1i3−i3i3−i3i3−i3i3−i322-2-200000000-1-1000011i3−i3i3−i3000000000000
χ382222-2-22-1-222-22-122-1-1-1-2-21111-111-1-1-221-112-2-10000i3−i300i3−i31-11-1i3−i3i3−i3i3−i3i3−i3-2-22200000000110000-1-1−i3i3−i3i3000000000000
χ392-2-222-222-2-222-2-22-2-2222-22-222-2-2-22-2-22-2-22-2220000000000-2-2220000000000002-2-2200000000000000002-2-2200000000
χ402-2-222-222-2-222-2-22-2-2222-22-222-2-2-22-2-22-2-22-2220000000000-2-222000000000000-222-20000000000000000-222-200000000
χ412-2-222-22-122-2-2-212-21-1-12-2-11-1-1111-112-2-1-112-212i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii2-22-200000000-112i−2i00-11−i−iii000000000000
χ422-2-222-22-122-2-2-212-21-1-12-2-11-1-1111-112-2-1-112-212i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii-22-22000000001-1−2i2i001-1ii−i−i000000000000
χ432-2-222-22-122-2-2-212-21-1-12-2-11-1-1111-112-2-1-112-21−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i2-22-200000000-11−2i2i00-11ii−i−i000000000000
χ442-2-222-22-122-2-2-212-21-1-12-2-11-1-1111-112-2-1-112-21−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i-22-22000000001-12i−2i001-1−i−iii000000000000
χ452-2-222-2-1222-2-21-2-11-22-1-112-2-1-1111-11-1122-2-11-22i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii00002i2i−2i−2i000000002-2000000−i−iii-1-1110000
χ462-2-222-2-1222-2-21-2-11-22-1-112-2-1-1111-11-1122-2-11-22i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii0000−2i−2i2i2i00000000-22000000ii−i−i11-1-10000
χ472-2-222-2-1222-2-21-2-11-22-1-112-2-1-1111-11-1122-2-11-2−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i00002i2i−2i−2i00000000-22000000−i−iii11-1-10000
χ482-2-222-2-1222-2-21-2-11-22-1-112-2-1-1111-11-1122-2-11-2−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i0000−2i−2i2i2i000000002-2000000ii−i−i-1-1110000
χ492-2-222-2-12-2-2221-2-11-22-1-112-2-1-1111-111-1-2-221-12003−300−330011-1-133−3−3−3−33300002-2-220000000000000000-111-1−333−30000
χ502-2-222-2-12-2-2221-2-11-22-1-112-2-1-1111-111-1-2-221-12003−300−330011-1-133−3−3−3−3330000-222-200000000000000001-1-113−3−330000
χ512-2-222-2-12-2-2221-2-11-22-1-112-2-1-1111-111-1-2-221-1200−33003−30011-1-1−3−33333−3−300002-2-220000000000000000-111-13−3−330000
χ522-2-222-2-12-2-2221-2-11-22-1-112-2-1-1111-111-1-2-221-1200−33003−30011-1-1−3−33333−3−30000-222-200000000000000001-1-11−333−30000
χ532-2-22-22222-22-2-2-22-2-222-22-22-2-2-2222-2222-2-2-2-2200000000002-2-2200000000000000002i2i−2i−2i00000000000000000000−2i2i00
χ542-2-22-22222-22-2-2-22-2-222-22-22-2-2-2222-2222-2-2-2-2200000000002-2-220000000000000000−2i−2i2i2i000000000000000000002i−2i00
χ552-2-22-2222-22-22-2-22-2-222-22-22-2-2-2222-2-2-2-22222-20000000000-222-2000000002-2-22000000002-20000-220000000000000000
χ562-2-22-2222-22-22-2-22-2-222-22-22-2-2-2222-2-2-2-22222-20000000000-222-200000000-222-200000000-2200002-20000000000000000
χ572-2-22-222-1-22-22-212-21-1-1-221-1111-1-1-11-2-21-1-122100003−300−331-1-113−33−3−33−332-2-2200000000-1100001-13−3−33000000000000
χ582-2-22-222-1-22-22-212-21-1-1-221-1111-1-1-11-2-21-1-122100003−300−331-1-113−33−3−33−33-222-2000000001-10000-11−333−3000000000000
χ592-2-22-222-1-22-22-212-21-1-1-221-1111-1-1-11-2-21-1-12210000−33003−31-1-11−33−333−33−32-2-2200000000-1100001-1−333−3000000000000
χ602-2-22-222-1-22-22-212-21-1-1-221-1111-1-1-11-2-21-1-12210000−33003−31-1-11−33−333−33−3-222-2000000001-10000-113−3−33000000000000
χ614444444-2-4-4-4-44-244-2-2-244-2-2-2-2-2-2-2-2-2-4-4222-4-420000000000222200000000000000000000000000000000000000000000
χ62444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-2-4-4222222221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ64444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-211111112222222200−2i32i300−2i32i300-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111111122222222002i3−2i3002i3−2i300-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000
χ664444-4-44-24-4-444-244-2-2-2-4-42222-222-2-24-4-22-2-4420000000000-22-2200000000000000000000000000000000000000000000
χ674444-4-4-244-4-44-24-2-244-222-4-422-222-2-2-224-442-2-40000000000-22-2200000000000000000000000000000000000000000000
χ684444-4-4-24-444-4-24-2-244-222-4-422-222-2-22-2-44-4-22400000000002-22-200000000000000000000000000000000000000000000
χ694444-4-4-2-24-4-44-2-2-2-2-2-212222-1-11-1-111-22-22-22-2200000000001-11-13-3-333-3-33000000000000000000000000000000000000
χ704444-4-4-2-24-4-44-2-2-2-2-2-212222-1-11-1-111-22-22-22-2200000000001-11-1-333-3-333-3000000000000000000000000000000000000
χ714444-4-4-2-2-444-4-2-2-2-2-2-212222-1-11-1-1112-22-22-22-20000−2i32i300−2i32i3-11-11i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000000000
χ724444-4-4-2-2-444-4-2-2-2-2-2-212222-1-11-1-1112-22-22-22-200002i3−2i3002i3−2i3-11-11−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000
χ7344-4-40044000044-4-4-4-44000000400-4-40000000000000000000000000000000000000022−2222−22000000000000000000000000
χ7444-4-40044000044-4-4-4-44000000400-4-400000000000000000000000000000000000000−2222−2222000000000000000000000000
χ754-44-400440000-4-4-444-44000000-400-4400000000000000000000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ764-44-400440000-4-4-444-44000000-400-44000000000000000000000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ774-4-444-44-2-4-444-424-42-2-24-4-22-2-2222-22-4422-2-44-2000000000022-2-200000000000000000000000000000000000000000000
χ784-4-444-4-2-244-4-422-222-21-22-2211-1-1-11-1-22-2-22-2224i−4i−2i−2i−2i−2i2i2i2i2i11-1-1iiii−i−i−i−i000000000000000000000000000000000000
χ794-4-444-4-2-244-4-422-222-21-22-2211-1-1-11-1-22-2-22-222−4i4i2i2i2i2i−2i−2i−2i−2i11-1-1−i−i−i−iiiii000000000000000000000000000000000000
χ804-4-444-4-2-2-4-44422-222-21-22-2211-1-1-11-12-222-22-2-20023−2300−232300-1-111−3−33333−3−3000000000000000000000000000000000000
χ814-4-444-4-2-2-4-44422-222-21-22-2211-1-1-11-12-222-22-2-200−23230023−2300-1-11133−3−3−3−333000000000000000000000000000000000000
χ824-4-44-444-24-44-4-424-42-2-2-442-2222-2-2-2244-222-4-4-20000000000-222-200000000000000000000000000000000000000000000
χ834-4-44-44-244-44-42-4-22-44-22-2-44222-2-2-22-2-24-4-42240000000000-222-200000000000000000000000000000000000000000000
χ844-4-44-44-24-44-442-4-22-44-22-2-44222-2-2-2222-444-2-2-400000000002-2-2200000000000000000000000000000000000000000000
χ854-4-44-44-2-24-44-422-222-212-22-2-1-1-1111-1-2-2-22222-200000000001-1-113i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000
χ864-4-44-44-2-24-44-422-222-212-22-2-1-1-1111-1-2-2-22222-200000000001-1-11−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000
χ874-4-44-44-2-2-44-4422-222-212-22-2-1-1-1111-1222-2-2-2-22000023−2300−2323-111-1−33−333−33−3000000000000000000000000000000000000
χ884-4-44-44-2-2-44-4422-222-212-22-2-1-1-1111-1222-2-2-2-220000−23230023−23-111-13−33−3−33−33000000000000000000000000000000000000
χ8988-8-8008-400008-4-8-844-4000000-40044000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-800-480000-4844-8-8-4000000-40044000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-800-4-40000-4-44444200006-626-6-2-2000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-40000-4-4444420000-662-66-2-2000000000000000000000000000000000000000000000000000000000000000000
χ938-88-8008-40000-84-88-44-40000004004-4000000000000000000000000000000000000000000000000000000000000000000
χ948-88-800-4800004-84-48-8-40000004004-4000000000000000000000000000000000000000000000000000000000000000000
χ958-88-800-4-40000444-4-44200006-6-2-66-22000000000000000000000000000000000000000000000000000000000000000000
χ968-88-800-4-40000444-4-4420000-66-26-6-22000000000000000000000000000000000000000000000000000000000000000000

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