Finite Group Databasebeta

← Group #11785593

Character table — Group #11785593

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
χ91-11-11-1111-1-11-1-11-1-1111-11-111-1-1-11-11-111-11-1-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i1-11-111-1-111-1-11-1i−ii−i1-1ii−i−i11-1-1ii−i−i1-1i−i
χ101-11-11-1111-1-11-1-11-1-1111-11-111-1-1-11-11-111-11-1-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i1-11-1-1-111-1-1111-1i−i−ii1-1ii−i−i-1-111−i−iii-11−ii
χ111-11-11-1111-1-11-1-11-1-1111-11-111-1-1-11-11-111-11-1-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i-11-1111-1-1-1-111-11−iii−i-11−i−iii11-1-1ii−i−i-11−ii
χ121-11-11-1111-1-11-1-11-1-1111-11-111-1-1-11-11-111-11-1-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i-11-11-1-11111-1-1-11−ii−ii-11−i−iii-1-111−i−iii1-1i−i
χ131-11-11-1111-1-11-1-11-1-1111-11-111-1-1-11-11-111-11-1-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii1-11-111-1-111-1-11-1−ii−ii1-1−i−iii11-1-1−i−iii1-1−ii
χ141-11-11-1111-1-11-1-11-1-1111-11-111-1-1-11-11-111-11-1-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii1-11-1-1-111-1-1111-1−iii−i1-1−i−iii-1-111ii−i−i-11i−i
χ151-11-11-1111-1-11-1-11-1-1111-11-111-1-1-11-11-111-11-1-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii-11-1111-1-1-1-111-11i−i−ii-11ii−i−i11-1-1−i−iii-11i−i
χ161-11-11-1111-1-11-1-11-1-1111-11-111-1-1-11-11-111-11-1-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii-11-11-1-11111-1-1-11i−ii−i-11ii−i−i-1-111ii−i−i1-1−ii
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
χ312222-2-2222-22-22222222-2-2-2-2-2-22-2-2222-22-2-2-22200000000002-22-20000000022-2-200000000220000-2-20000000000000000
χ322222-2-2222-22-22222222-2-2-2-2-2-22-2-2222-22-2-2-22200000000002-22-200000000-2-22200000000-2-20000220000000000000000
χ332222-2-222-22-222222222-2-2-2-2-2-22-2-222-22-2222-2-20000000000-22-220000000000000000222200000000000000000000-2-200
χ342222-2-222-22-222222222-2-2-2-2-2-22-2-222-22-2222-2-20000000000-22-220000000000000000-2-2-2-2000000000000000000002200
χ352222-2-22-12-22-22-122-1-1-1-2-21111-111-1-12-2-111-22-10000−i3i300−i3i3-11-11−i3i3−i3i3−i3i3−i3i322-2-200000000-1-1000011−i3i3−i3i3000000000000
χ362222-2-22-12-22-22-122-1-1-1-2-21111-111-1-12-2-111-22-10000−i3i300−i3i3-11-11−i3i3−i3i3−i3i3−i3i3-2-22200000000110000-1-1i3−i3i3−i3000000000000
χ372222-2-22-12-22-22-122-1-1-1-2-21111-111-1-12-2-111-22-10000i3−i300i3−i3-11-11i3−i3i3−i3i3−i3i3−i322-2-200000000-1-1000011i3−i3i3−i3000000000000
χ382222-2-22-12-22-22-122-1-1-1-2-21111-111-1-12-2-111-22-10000i3−i300i3−i3-11-11i3−i3i3−i3i3−i3i3−i3-2-22200000000110000-1-1−i3i3−i3i3000000000000
χ392-22-22-222-222-2-2-22-2-2222-22-222-2-2-22-2-22-2-22-2220000000000-2-2220000000000002i−2i−2i2i00000000000000002i−2i−2i2i00000000
χ402-22-22-222-222-2-2-22-2-2222-22-222-2-2-22-2-22-2-22-2220000000000-2-222000000000000−2i2i2i−2i0000000000000000−2i2i2i−2i00000000
χ412-22-22-22-12-2-22-212-21-1-12-2-11-1-1111-112-2-1-112-212i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii2-22-200000000-112i−2i00-11−i−iii000000000000
χ422-22-22-22-12-2-22-212-21-1-12-2-11-1-1111-112-2-1-112-212i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii-22-22000000001-1−2i2i001-1ii−i−i000000000000
χ432-22-22-22-12-2-22-212-21-1-12-2-11-1-1111-112-2-1-112-21−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i2-22-200000000-11−2i2i00-11ii−i−i000000000000
χ442-22-22-22-12-2-22-212-21-1-12-2-11-1-1111-112-2-1-112-21−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i-22-22000000001-12i−2i001-1−i−iii000000000000
χ452-22-22-2-122-2-221-2-11-22-1-112-2-1-1111-11-1122-2-11-22i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii000022-2-2000000002i−2i000000-1-111−i−iii0000
χ462-22-22-2-122-2-221-2-11-22-1-112-2-1-1111-11-1122-2-11-22i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii0000-2-22200000000−2i2i00000011-1-1ii−i−i0000
χ472-22-22-2-122-2-221-2-11-22-1-112-2-1-1111-11-1122-2-11-2−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i000022-2-200000000−2i2i000000-1-111ii−i−i0000
χ482-22-22-2-122-2-221-2-11-22-1-112-2-1-1111-11-1122-2-11-2−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i0000-2-222000000002i−2i00000011-1-1−i−iii0000
χ492-22-22-2-12-222-21-2-11-22-1-112-2-1-1111-111-1-2-221-12003−300−330011-1-133−3−3−3−33300002i−2i−2i2i0000000000000000−iii−ii3−i3−i3i30000
χ502-22-22-2-12-222-21-2-11-22-1-112-2-1-1111-111-1-2-221-12003−300−330011-1-133−3−3−3−3330000−2i2i2i−2i0000000000000000i−i−ii−i3i3i3−i30000
χ512-22-22-2-12-222-21-2-11-22-1-112-2-1-1111-111-1-2-221-1200−33003−30011-1-1−3−33333−3−300002i−2i−2i2i0000000000000000−iii−i−i3i3i3−i30000
χ522-22-22-2-12-222-21-2-11-22-1-112-2-1-1111-111-1-2-221-1200−33003−30011-1-1−3−33333−3−30000−2i2i2i−2i0000000000000000i−i−iii3−i3−i3i30000
χ532-22-2-222222-2-2-2-22-2-222-22-22-2-2-2222-2222-22-2-2-200000000002-2-22000000002-2-22000000002-20000-220000000000000000
χ542-22-2-222222-2-2-2-22-2-222-22-22-2-2-2222-2222-22-2-2-200000000002-2-2200000000-222-200000000-2200002-20000000000000000
χ552-22-2-2222-2-222-2-22-2-222-22-22-2-2-2222-2-2-2-22-22220000000000-222-2000000000000000022-2-200000000000000000000-2200
χ562-22-2-2222-2-222-2-22-2-222-22-22-2-2-2222-2-2-2-22-22220000000000-222-20000000000000000-2-222000000000000000000002-200
χ572-22-2-222-122-2-2-212-21-1-1-221-1111-1-1-1122-11-1-2-2100003−300−33-111-13−33−3−33−332-2-2200000000-1100001-13−3−33000000000000
χ582-22-2-222-122-2-2-212-21-1-1-221-1111-1-1-1122-11-1-2-2100003−300−33-111-13−33−3−33−33-222-2000000001-10000-11−333−3000000000000
χ592-22-2-222-122-2-2-212-21-1-1-221-1111-1-1-1122-11-1-2-210000−33003−3-111-1−33−333−33−32-2-2200000000-1100001-1−333−3000000000000
χ602-22-2-222-122-2-2-212-21-1-1-221-1111-1-1-1122-11-1-2-210000−33003−3-111-1−33−333−33−3-222-2000000001-10000-113−3−33000000000000
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
χ664444-4-44-2-44-444-244-2-2-2-4-42222-222-2-2-442-2-24-4200000000002-22-200000000000000000000000000000000000000000000
χ674444-4-4-244-44-4-24-2-244-222-4-422-222-2-2-224-4-42-240000000000-22-2200000000000000000000000000000000000000000000
χ684444-4-4-24-44-44-24-2-244-222-4-422-222-2-22-2-444-22-400000000002-22-200000000000000000000000000000000000000000000
χ694444-4-4-2-24-44-4-2-2-2-2-2-212222-1-11-1-111-22-2222-2-20000−2i32i300−2i32i31-11-1i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000000000
χ704444-4-4-2-24-44-4-2-2-2-2-2-212222-1-11-1-111-22-2222-2-200002i3−2i3002i3−2i31-11-1−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000
χ714444-4-4-2-2-44-44-2-2-2-2-2-212222-1-11-1-1112-22-2-2-2220000000000-11-113-3-333-3-33000000000000000000000000000000000000
χ724444-4-4-2-2-44-44-2-2-2-2-2-212222-1-11-1-1112-22-2-2-2220000000000-11-11-333-3-333-3000000000000000000000000000000000000
χ7344-4-400440000-4-4-444-44000000-400-4400000000000000000000000000000000000000−2i22i2−2i22i2000000000000000000000000
χ7444-4-400440000-4-4-444-44000000-400-44000000000000000000000000000000000000002i2−2i22i2−2i2000000000000000000000000
χ754-44-44-44-2-444-4-424-42-2-24-4-22-2-2222-22-4422-2-44-2000000000022-2-200000000000000000000000000000000000000000000
χ764-44-44-4-2-24-4-4422-222-21-22-2211-1-1-11-1-22-2-22-2224i−4i−2i−2i−2i−2i2i2i2i2i11-1-1iiii−i−i−i−i000000000000000000000000000000000000
χ774-44-44-4-2-24-4-4422-222-21-22-2211-1-1-11-1-22-2-22-222−4i4i2i2i2i2i−2i−2i−2i−2i11-1-1−i−i−i−iiiii000000000000000000000000000000000000
χ784-44-44-4-2-2-444-422-222-21-22-2211-1-1-11-12-222-22-2-20023−2300−232300-1-111−3−33333−3−3000000000000000000000000000000000000
χ794-44-44-4-2-2-444-422-222-21-22-2211-1-1-11-12-222-22-2-200−23230023−2300-1-11133−3−3−3−333000000000000000000000000000000000000
χ804-44-4-444-2-4-444-424-42-2-2-442-2222-2-2-22-4-42-2244-200000000002-2-2200000000000000000000000000000000000000000000
χ814-44-4-44-2444-4-42-4-22-44-22-2-44222-2-2-22-2-24-4422-40000000000-222-200000000000000000000000000000000000000000000
χ824-44-4-44-24-4-4442-4-22-44-22-2-44222-2-2-2222-44-4-2-2400000000002-2-2200000000000000000000000000000000000000000000
χ834-44-4-44-2-244-4-422-222-212-22-2-1-1-1111-1-2-2-22-2222000023−2300−23231-1-11−33−333−33−3000000000000000000000000000000000000
χ844-44-4-44-2-244-4-422-222-212-22-2-1-1-1111-1-2-2-22-22220000−23230023−231-1-113−33−3−33−33000000000000000000000000000000000000
χ854-44-4-44-2-2-4-44422-222-212-22-2-1-1-1111-1222-22-2-2-20000000000-111-13i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000
χ864-44-4-44-2-2-4-44422-222-212-22-2-1-1-1111-1222-22-2-2-20000000000-111-1−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000
χ874-4-440044000044-4-4-4-44000000400-4-400000000000000000000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ884-4-440044000044-4-4-4-44000000400-4-4000000000000000000000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ8988-8-8008-40000-84-88-44-40000004004-4000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-800-4800004-84-48-8-40000004004-4000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-800-4-40000444-4-44200006-6-26-6-22000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-40000444-4-4420000-66-2-66-22000000000000000000000000000000000000000000000000000000000000000000
χ938-8-88008-400008-4-8-844-4000000-40044000000000000000000000000000000000000000000000000000000000000000000
χ948-8-8800-480000-4844-8-8-4000000-40044000000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-40000-4-44444200006-62-66-2-2000000000000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-40000-4-4444420000-6626-6-2-2000000000000000000000000000000000000000000000000000000000000000000

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