Finite Group Databasebeta

← Group #11784909

Character table — Group #11784909

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121224242424242424242424242424242424242424243636363636363636
order12222233444466666636666666121212121212121212121212668812122424242424242424242424242424242422444444446688121212121212121212122424242422444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111111111-1-1-1-1
χ91-1-111-11111-1-1-1-1-11-1111-11-1-1-1111-11111-1-1-1-1-11-1i−i1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-111-1-1i−i1-1i−i1-1ii−i−i11-1-1ii−i−i1-11-1ii−i−i
χ101-1-111-11111-1-1-1-1-11-1111-11-1-1-1111-11111-1-1-1-1-11-1i−i1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-1-1-111i−i1-1−ii1-1ii−i−i-1-111−i−iii-11-11−i−iii
χ111-1-111-11111-1-1-1-1-11-1111-11-1-1-1111-11111-1-1-1-1-11-1i−i1-1iiiiiiii−i−i−i−i−i−i−i−i-11-1111-1-1−ii-11i−i-11−i−iii11-1-1ii−i−i-11-11−i−iii
χ121-1-111-11111-1-1-1-1-11-1111-11-1-1-1111-11111-1-1-1-1-11-1i−i1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11-1-111−ii-11−ii-11−i−iii-1-111−i−iii1-11-1ii−i−i
χ131-1-111-11111-1-1-1-1-11-1111-11-1-1-1111-11111-1-1-1-1-11-1−ii1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-111-1-1−ii1-1−ii1-1−i−iii11-1-1−i−iii1-11-1−i−iii
χ141-1-111-11111-1-1-1-1-11-1111-11-1-1-1111-11111-1-1-1-1-11-1−ii1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-1-1-111−ii1-1i−i1-1−i−iii-1-111ii−i−i-11-11ii−i−i
χ151-1-111-11111-1-1-1-1-11-1111-11-1-1-1111-11111-1-1-1-1-11-1−ii1-1−i−i−i−i−i−i−i−iiiiiiiii-11-1111-1-1i−i-11−ii-11ii−i−i11-1-1−i−iii-11-11ii−i−i
χ161-1-111-11111-1-1-1-1-11-1111-11-1-1-1111-11111-1-1-1-1-11-1−ii1-1−i−i−i−i−i−i−i−iiiiiiiii-11-11-1-111i−i-11i−i-11ii−i−i-1-111ii−i−i1-11-1−i−iii
χ1722222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-22200-2-2000000000000000000002-22-20000000000002-22-2000000000000
χ1822222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-22200-2-200000000000000000000-22-22000000000000-22-22000000000000
χ192222222-1222222-1-1-12-122-1-1-1-1-1-1-1-122-1-1-12-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-12222000022-1-100-1-1-1-1-1-10000000000000000
χ202222222-1222222-1-1-12-122-1-1-1-1-1-1-1-122-1-1-12-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-20000-2-211001111110000000000000000
χ212222222-1222222-1-1-12-122-1-1-1-1-1-1-1-122-1-1-12-1-12-1-1-2-2-1-1-2-2111111-2-211111122220000-2-2-1-100-1-111110000000000000000
χ222222222-1222222-1-1-12-122-1-1-1-1-1-1-1-122-1-1-12-1-12-1-1-2-2-1-1-2-2111111-2-2111111-2-2-2-2000022110011-1-1-1-10000000000000000
χ23222222-122222-1-1222-1-1-1-122-1-1-1222-1-1-1-12-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-100002222000022000000-1-1-1-1-1-1-1-100000000
χ24222222-122222-1-1222-1-1-1-122-1-1-1222-1-1-1-12-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-2-2-2-20000-2-20000001111111100000000
χ25222222-122222-1-1222-1-1-1-122-1-1-1222-1-1-1-12-1-1-1-1-1-1-2-2-1-111-2-2111111-2-21111000022220000-2-2000000-1-1-1-1111100000000
χ26222222-122222-1-1222-1-1-1-122-1-1-1222-1-1-1-12-1-1-1-1-1-1-2-2-1-111-2-2111111-2-211110000-2-2-2-20000220000001111-1-1-1-100000000
χ27222222-12-2-2-2-2-1-1222-1-1-1-122-1-1-1-2-2-21111-21111-1-100113−30033−3−33−30033−3−300002-22-2000000000000-11-113−33−300000000
χ28222222-12-2-2-2-2-1-1222-1-1-1-122-1-1-1-2-2-21111-21111-1-100113−30033−3−33−30033−3−30000-22-220000000000001-11-1−33−3300000000
χ29222222-12-2-2-2-2-1-1222-1-1-1-122-1-1-1-2-2-21111-21111-1-10011−3300−3−333−3300−3−33300002-22-2000000000000-11-11−33−3300000000
χ30222222-12-2-2-2-2-1-1222-1-1-1-122-1-1-1-2-2-21111-21111-1-10011−3300−3−333−3300−3−3330000-22-220000000000001-11-13−33−300000000
χ312222-2-2222-22-22222222-2-2-2-22222-2-22-2222222-2-2-200-2-2000000000000000022-2-20000002200-2-200000000000000000000
χ322222-2-2222-22-22222222-2-2-2-22222-2-22-2222222-2-2-200-2-20000000000000000-2-222000000-2-2002200000000000000000000
χ332222-2-222-22-222222222-2-2-2-2222-222-22-2-2-2-2-2-22-2-200220000000000000000000000000000000000000000000022-2-20000
χ342222-2-222-22-222222222-2-2-2-2222-222-22-2-2-2-2-2-22-2-2002200000000000000000000000000000000000000000000-2-2220000
χ352222-2-22-12-22-222-1-1-12-1-2-211-1-1-1-1112-2-1-1-12-1-1-211001100−i3i3−i3i3−i3i300−i3i3−i3i3−i3i322-2-2000000-1-10011−i3i3−i3i30000000000000000
χ362222-2-22-12-22-222-1-1-12-1-2-211-1-1-1-1112-2-1-1-12-1-1-211001100−i3i3−i3i3−i3i300−i3i3−i3i3−i3i3-2-2220000001100-1-1i3−i3i3−i30000000000000000
χ372222-2-22-12-22-222-1-1-12-1-2-211-1-1-1-1112-2-1-1-12-1-1-211001100i3−i3i3−i3i3−i300i3−i3i3−i3i3−i322-2-2000000-1-10011i3−i3i3−i30000000000000000
χ382222-2-22-12-22-222-1-1-12-1-2-211-1-1-1-1112-2-1-1-12-1-1-211001100i3−i3i3−i3i3−i300i3−i3i3−i3i3−i3-2-2220000001100-1-1−i3i3−i3i30000000000000000
χ392-2-222-222-2-222-2-2-22-2222-22-2-2-22-2-22-2-2-2-2222222-200-22000000000000000000002-2-220000000000002-2-22000000000000
χ402-2-222-222-2-222-2-2-22-2222-22-2-2-22-2-22-2-2-2-2222222-200-2200000000000000000000-222-2000000000000-222-2000000000000
χ412-2-222-22-122-2-2-2-21-112-12-2-1111-1-1-1122-1-11-211-2-112i−2i-112i2i−i−i−i−i−i−i−2i−2iiiiiii2-22-200002i−2i-1100-11−i−iii0000000000000000
χ422-2-222-22-122-2-2-2-21-112-12-2-1111-1-1-1122-1-11-211-2-112i−2i-112i2i−i−i−i−i−i−i−2i−2iiiiiii-22-220000−2i2i1-1001-1ii−i−i0000000000000000
χ432-2-222-22-122-2-2-2-21-112-12-2-1111-1-1-1122-1-11-211-2-11−2i2i-11−2i−2iiiiiii2i2i−i−i−i−i−i−i2-22-20000−2i2i-1100-11ii−i−i0000000000000000
χ442-2-222-22-122-2-2-2-21-112-12-2-1111-1-1-1122-1-11-211-2-11−2i2i-11−2i−2iiiiiii2i2i−i−i−i−i−i−i-22-2200002i−2i1-1001-1−i−iii0000000000000000
χ452-2-222-2-1222-2-211-22-2-1-1-112-211-122-2-1-1-1-1-21111-112i−2i-11−i−i2i2i−i−i−i−iii−2i−2iiiii000022-2-200002i−2i000000-1-111−i−iii00000000
χ462-2-222-2-1222-2-211-22-2-1-1-112-211-122-2-1-1-1-1-21111-112i−2i-11−i−i2i2i−i−i−i−iii−2i−2iiiii0000-2-2220000−2i2i00000011-1-1ii−i−i00000000
χ472-2-222-2-1222-2-211-22-2-1-1-112-211-122-2-1-1-1-1-21111-11−2i2i-11ii−2i−2iiiii−i−i2i2i−i−i−i−i000022-2-20000−2i2i000000-1-111ii−i−i00000000
χ482-2-222-2-1222-2-211-22-2-1-1-112-211-122-2-1-1-1-1-21111-11−2i2i-11ii−2i−2iiiii−i−i2i2i−i−i−i−i0000-2-22200002i−2i00000011-1-1−i−iii00000000
χ492-2-222-2-12-2-22211-22-2-1-1-112-211-1-2-2211112-1-1-1-1-11001-1−i3i300−i3−i3i3i3i3−i300i3i3−i3−i300002-2-22000000000000-111-1−i3i3i3−i300000000
χ502-2-222-2-12-2-22211-22-2-1-1-112-211-1-2-2211112-1-1-1-1-11001-1−i3i300−i3−i3i3i3i3−i300i3i3−i3−i30000-222-20000000000001-1-11i3−i3−i3i300000000
χ512-2-222-2-12-2-22211-22-2-1-1-112-211-1-2-2211112-1-1-1-1-11001-1i3−i300i3i3−i3−i3−i3i300−i3−i3i3i300002-2-22000000000000-111-1i3−i3−i3i300000000
χ522-2-222-2-12-2-22211-22-2-1-1-112-211-1-2-2211112-1-1-1-1-11001-1i3−i300i3i3−i3−i3−i3i300−i3−i3i3i30000-222-20000000000001-1-11−i3i3i3−i300000000
χ532-2-22-22222-2-22-2-2-22-222-22-22-2-222-222-222-2-2-2-22-2200-2200000000000000002-2-220000002-200-2200000000000000000000
χ542-2-22-22222-2-22-2-2-22-222-22-22-2-222-222-222-2-2-2-22-2200-220000000000000000-222-2000000-22002-200000000000000000000
χ552-2-22-2222-222-2-2-2-22-222-22-22-2-22-22-2-22-2-22222-2-22002-2000000000000000000000000000000000000000000002-2-220000
χ562-2-22-2222-222-2-2-2-22-222-22-22-2-22-22-2-22-2-22222-2-22002-200000000000000000000000000000000000000000000-222-20000
χ572-2-22-222-12-2-22-2-21-112-1-221-111-1-11-12-2-1-11-21121-1001-1003−33−33−300−33−33−332-2-22000000-11001-13−3−330000000000000000
χ582-2-22-222-12-2-22-2-21-112-1-221-111-1-11-12-2-1-11-21121-1001-1003−33−33−300−33−33−33-222-20000001-100-11−333−30000000000000000
χ592-2-22-222-12-2-22-2-21-112-1-221-111-1-11-12-2-1-11-21121-1001-100−33−33−33003−33−33−32-2-22000000-11001-1−333−30000000000000000
χ602-2-22-222-12-2-22-2-21-112-1-221-111-1-11-12-2-1-11-21121-1001-100−33−33−33003−33−33−3-222-20000001-100-113−3−330000000000000000
χ614444444-2-4-4-4-444-2-2-24-244-2-2-2-2-2222-4-4222-422-4-2-200220000000000000000000000000000000000000000000000000000
χ62444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-211-2-211-2114411-2-2-2-21111-2-2-2-21111000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-211-2-211-211-4-4112222-1-1-1-12222-1-1-1-1000000000000000000000000000000000000
χ64444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-211122222-1-122-1-121100-1-123−2300−3−33323−2300−3−333000000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-211122222-1-122-1-121100-1-1−23230033−3−3−23230033−3−3000000000000000000000000000000000000
χ664444-4-44-2-44-4444-2-2-24-2-4-422-2-2-22-2-2-44222-42242200-2-20000000000000000000000000000000000000000000000000000
χ674444-4-4-244-44-4-2-2444-2-222-4-4-2-2-24-4-4-22-2-24-2-2-222200220000000000000000000000000000000000000000000000000000
χ684444-4-4-24-44-44-2-2444-2-222-4-4-2-2-2-4442-222-4222-22200-2-20000000000000000000000000000000000000000000000000000
χ694444-4-4-2-24-44-4-2-2-2-2-2-212222111-222-2211-2-2112-1-100-1-100−2i32i3i3−i3i3−i300−2i32i3i3−i3i3−i3000000000000000000000000000000000000
χ704444-4-4-2-24-44-4-2-2-2-2-2-212222111-222-2211-2-2112-1-100-1-1002i3−2i3−i3i3−i3i3002i3−2i3−i3i3−i3i3000000000000000000000000000000000000
χ714444-4-4-2-2-44-44-2-2-2-2-2-2122221112-2-22-2-1-122-1-1-2-1-1001100003i−3i−3i3i00003i−3i−3i3i000000000000000000000000000000000000
χ724444-4-4-2-2-44-44-2-2-2-2-2-2122221112-2-22-2-1-122-1-1-2-1-100110000−3i3i3i−3i0000−3i3i3i−3i000000000000000000000000000000000000
χ7344-4-4004400004-44-4-4-4400004-4-40000000000000000000000000000000000000000000000000000000000000000002-22-2
χ7444-4-4004400004-44-4-4-4400004-4-4000000000000000000000000000000000000000000000000000000000000000000-22-22
χ754-44-400440000-44-4-44-440000-44-40000000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i
χ764-44-400440000-44-4-44-440000-44-4000000000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i
χ774-4-444-44-2-4-444-4-42-224-24-4-2222-222-2-4-422-24-2-24-22002-20000000000000000000000000000000000000000000000000000
χ784-4-444-4-2-244-4-4222-22-21-22-22-1-11-2-22-2-21122-1-121-14i−4i1-1−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i000000000000000000000000000000000000
χ794-4-444-4-2-244-4-4222-22-21-22-22-1-11-2-22-2-21122-1-121-1−4i4i1-12i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii000000000000000000000000000000000000
χ804-4-444-4-2-2-4-444222-22-21-22-22-1-1122-222-1-1-2-211-21-100-11−2i32i300i3i3−i3−i32i3−2i300−i3−i3i3i3000000000000000000000000000000000000
χ814-4-444-4-2-2-4-444222-22-21-22-22-1-1122-222-1-1-2-211-21-100-112i3−2i300−i3−i3i3i3−2i32i300i3i3−i3−i3000000000000000000000000000000000000
χ824-4-44-444-2-444-4-4-42-224-2-442-222-22-22-4422-24-2-2-42-200-220000000000000000000000000000000000000000000000000000
χ834-4-44-44-244-4-4422-44-4-2-22-2-4422-24-44-22-2-2-4222-22-2002-20000000000000000000000000000000000000000000000000000
χ844-4-44-44-24-444-422-44-4-2-22-2-4422-2-44-42-2224-2-2-222-200-220000000000000000000000000000000000000000000000000000
χ854-4-44-44-2-24-4-44222-22-212-22-2-1-11-22-2-221122-1-1-2-1100-110023−23−33−3300−23233−33−3000000000000000000000000000000000000
χ864-4-44-44-2-24-4-44222-22-212-22-2-1-11-22-2-221122-1-1-2-1100-1100−23233−33−30023−23−33−33000000000000000000000000000000000000
χ874-4-44-44-2-2-444-4222-22-212-22-2-1-112-222-2-1-1-2-2112-11001-100003-3-330000-333-3000000000000000000000000000000000000
χ884-4-44-44-2-2-444-4222-22-212-22-2-1-112-222-2-1-1-2-2112-11001-10000-333-300003-3-33000000000000000000000000000000000000
χ8988-8-8008-400008-8-444-8-40000-4440000000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-800-480000-448-8-84-40000-4440000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-800-4-40000-44-4444200002-2-2000006i−6i006i−6i00000000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-40000-44-4444200002-2-200000−6i6i00−6i6i00000000000000000000000000000000000000000000000000000000000
χ938-88-8008-40000-8844-4-8-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ948-88-800-4800004-4-8-884-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ958-88-800-4-400004-444-4420000-22-2000006i−6i00−6i6i00000000000000000000000000000000000000000000000000000000000
χ968-88-800-4-400004-444-4420000-22-200000−6i6i006i−6i00000000000000000000000000000000000000000000000000000000000

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