Finite Group Databasebeta

← Group #11788693

Character table — Group #11788693

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121218181818242424242424242424242424242424242424242436367272
order12222233444466666636666666121212121212121212121212668812122424242424242424242424242424242422448888888844446612121212121212121212242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111
χ71111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111
χ81111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-111-1-1
χ91-1-111-11111-1-1-1-1-11-1111-11-1-1-111-11-1-1-1-11111-11-11-11-111111111-1-1-1-1-1-1-1-11-11-1ii−i−iii−i−ii−i1-11-1ii−i−i1-111-1-1ii−i−ii−ii−i
χ101-1-111-11111-1-1-1-1-11-1111-11-1-1-111-11-1-1-1-11111-11-11-11-111111111-1-1-1-1-1-1-1-11-11-1−i−iii−i−iii−ii1-11-1−i−iii1-111-1-1−i−iii−ii−ii
χ111-1-111-11111-1-1-1-1-11-1111-11-1-1-111-11-1-1-1-11111-11-11-11-111111111-1-1-1-1-1-1-1-1-11-11ii−i−i−i−iiii−i-11-11ii−i−i-11-1-111ii−i−i−ii−ii
χ121-1-111-11111-1-1-1-1-11-1111-11-1-1-111-11-1-1-1-11111-11-11-11-111111111-1-1-1-1-1-1-1-1-11-11−i−iiiii−i−i−ii-11-11−i−iii-11-1-111−i−iiii−ii−i
χ131-1-111-11111-1-1-1-1-11-1111-11-1-1-111-11-1-1-1-11111-11-1-111-1-1-1-1-1-1-1-1-1111111111-11-1ii−i−iii−i−i−ii-111-1−i−iii1-1-1-111ii−i−ii−i−ii
χ141-1-111-11111-1-1-1-1-11-1111-11-1-1-111-11-1-1-1-11111-11-1-111-1-1-1-1-1-1-1-1-1111111111-11-1−i−iii−i−iiii−i-111-1ii−i−i1-1-1-111−i−iii−iii−i
χ151-1-111-11111-1-1-1-1-11-1111-11-1-1-111-11-1-1-1-11111-11-1-111-1-1-1-1-1-1-1-1-111111111-11-11ii−i−i−i−iii−ii1-1-11−i−iii-1111-1-1ii−i−i−iii−i
χ161-1-111-11111-1-1-1-1-11-1111-11-1-1-111-11-1-1-1-11111-11-1-111-1-1-1-1-1-1-1-1-111111111-11-11−i−iiiii−i−ii−i1-1-11ii−i−i-1111-1-1−i−iiii−i−ii
χ1722222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-22200-2-2000000000000000000002i−2i2i−2i000000000000000000002i−2i2i−2i0000
χ1822222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-22200-2-200000000000000000000−2i2i−2i2i00000000000000000000−2i2i−2i2i0000
χ192222222-122222-1-122-1-122-1-1-1-1-122-1-1-1-1-12-1-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-12222000000000022-1-10000-1-1-1-1-1-100000000
χ202222222-122222-1-122-1-122-1-1-1-1-122-1-1-1-1-12-1-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-20000000000-2-211000011111100000000
χ212222222-122222-1-122-1-122-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-2-2-1-1-2-2111111-2-211111122220000000000-2-2-1-10000-1-1111100000000
χ222222222-122222-1-122-1-122-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-2-2-1-1-2-2111111-2-2111111-2-2-2-200000000002211000011-1-1-1-100000000
χ23222222-122222-122-1-12-1-1-122-1-1-1-1-1222-1-1-12-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1000022220000220000-1-1-1-1000000-1-1-1-10000
χ24222222-122222-122-1-12-1-1-122-1-1-1-1-1222-1-1-12-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-2-2-2-20000-2-20000111100000011110000
χ25222222-122222-122-1-12-1-1-122-1-1-1-1-1222-1-1-12-1-1-1-1-1-2-2-1-111-2-2111111-2-21111000022220000-2-200001111000000-1-1-1-10000
χ26222222-122222-122-1-12-1-1-122-1-1-1-1-1222-1-1-12-1-1-1-1-1-2-2-1-111-2-2111111-2-211110000-2-2-2-20000220000-1-1-1-100000011110000
χ27222222-12-2-2-2-2-122-1-12-1-1-122-1-1-111-2-2-2111-2111-1-100113−30033−3−33−30033−3−300002i−2i2i−2i0000000000−i3i3−i3i3000000−ii−ii0000
χ28222222-12-2-2-2-2-122-1-12-1-1-122-1-1-111-2-2-2111-2111-1-100113−30033−3−33−30033−3−30000−2i2i−2i2i0000000000i3−i3i3−i3000000i−ii−i0000
χ29222222-12-2-2-2-2-122-1-12-1-1-122-1-1-111-2-2-2111-2111-1-10011−3300−3−333−3300−3−33300002i−2i2i−2i0000000000i3−i3i3−i3000000−ii−ii0000
χ30222222-12-2-2-2-2-122-1-12-1-1-122-1-1-111-2-2-2111-2111-1-10011−3300−3−333−3300−3−3330000−2i2i−2i2i0000000000−i3i3−i3i3000000i−ii−i0000
χ312222-2-2222-2-222222222-2-2-2-22222-222-2-2-2-2-2-2-22-2-20022000000000000000000000000222200000000000000000000-2-200
χ322222-2-2222-2-222222222-2-2-2-22222-222-2-2-2-2-2-2-22-2-20022000000000000000000000000-2-2-2-2000000000000000000002200
χ332222-2-222-222-22222222-2-2-2-2222-22-2-22222222-2-2-200-2-2000000000000000022-2-2000000000000220000-2-2000000000000
χ342222-2-222-222-22222222-2-2-2-2222-22-2-22222222-2-2-200-2-20000000000000000-2-222000000000000-2-2000022000000000000
χ352222-2-22-1-222-22-1-122-1-1-2-211-1-1-1-2211-1-1-12-1-1-1-211001100−i3i3−i3i3−i3i300−i3i3−i3i3−i3i322-2-2000000000000-1-1000011−i3i3−i3i300000000
χ362222-2-22-1-222-22-1-122-1-1-2-211-1-1-1-2211-1-1-12-1-1-1-211001100−i3i3−i3i3−i3i300−i3i3−i3i3−i3i3-2-222000000000000110000-1-1i3−i3i3−i300000000
χ372222-2-22-1-222-22-1-122-1-1-2-211-1-1-1-2211-1-1-12-1-1-1-211001100i3−i3i3−i3i3−i300i3−i3i3−i3i3−i322-2-2000000000000-1-1000011i3−i3i3−i300000000
χ382222-2-22-1-222-22-1-122-1-1-2-211-1-1-1-2211-1-1-12-1-1-1-211001100i3−i3i3−i3i3−i300i3−i3i3−i3i3−i3-2-222000000000000110000-1-1−i3i3−i3i300000000
χ392-2-222-222-2-222-2-2-22-2222-22-2-2-22-22-22222-2-2-2-222-200-22000000000000000000002-2-22000000000000000000002-2-220000
χ402-2-222-222-2-222-2-2-22-2222-22-2-2-22-22-22222-2-2-2-222-200-2200000000000000000000-222-200000000000000000000-222-20000
χ412-2-222-22-122-2-2-2112-2-1-12-2-1111-12-2-111112-1-1-1-2-112-2-1122-1-1-1-1-1-1-2-21111112-22-200000000002-2-110000-11-1-11100000000
χ422-2-222-22-122-2-2-2112-2-1-12-2-1111-12-2-111112-1-1-1-2-112-2-1122-1-1-1-1-1-1-2-2111111-22-220000000000-221-100001-111-1-100000000
χ432-2-222-22-122-2-2-2112-2-1-12-2-1111-12-2-111112-1-1-1-2-11-22-11-2-211111122-1-1-1-1-1-12-22-20000000000-22-110000-1111-1-100000000
χ442-2-222-22-122-2-2-2112-2-1-12-2-1111-12-2-111112-1-1-1-2-11-22-11-2-211111122-1-1-1-1-1-1-22-2200000000002-21-100001-1-1-11100000000
χ452-2-222-2-1222-2-21-2-2-112-1-112-211-1-112-2-211-12-1-11-112-2-11-1-122-1-1-1-111-2-2111100002i2i−2i−2i00002i−2i0000−i−iii000000−i−iii0000
χ462-2-222-2-1222-2-21-2-2-112-1-112-211-1-112-2-211-12-1-11-112-2-11-1-122-1-1-1-111-2-211110000−2i−2i2i2i0000−2i2i0000ii−i−i000000ii−i−i0000
χ472-2-222-2-1222-2-21-2-2-112-1-112-211-1-112-2-211-12-1-11-11-22-1111-2-21111-1-122-1-1-1-100002i2i−2i−2i0000−2i2i0000ii−i−i000000−i−iii0000
χ482-2-222-2-1222-2-21-2-2-112-1-112-211-1-112-2-211-12-1-11-11-22-1111-2-21111-1-122-1-1-1-10000−2i−2i2i2i00002i−2i0000−i−iii000000ii−i−i0000
χ492-2-222-2-12-2-2221-2-2-112-1-112-211-11-1-222-1-11-211-1-11001-13−30033−3−3−3300−3−33300002-2-220000000000−333−3000000-111-10000
χ502-2-222-2-12-2-2221-2-2-112-1-112-211-11-1-222-1-11-211-1-11001-13−30033−3−3−3300−3−3330000-222-200000000003−3−330000001-1-110000
χ512-2-222-2-12-2-2221-2-2-112-1-112-211-11-1-222-1-11-211-1-11001-1−3300−3−3333−30033−3−300002-2-2200000000003−3−33000000-111-10000
χ522-2-222-2-12-2-2221-2-2-112-1-112-211-11-1-222-1-11-211-1-11001-1−3300−3−3333−30033−3−30000-222-20000000000−333−30000001-1-110000
χ532-2-22-22222-22-2-2-2-22-222-22-22-2-22222-2222-2-2-2-2-2-22002-20000000000000000000000002i2i−2i−2i00000000000000000000−2i2i00
χ542-2-22-22222-22-2-2-2-22-222-22-22-2-22222-2222-2-2-2-2-2-22002-2000000000000000000000000−2i−2i2i2i000000000000000000002i−2i00
χ552-2-22-2222-22-22-2-2-22-222-22-22-2-22-2-2-22-2-2-222222-2200-2200000000000000002-2-220000000000002-20000-22000000000000
χ562-2-22-2222-22-22-2-2-22-222-22-22-2-22-2-2-22-2-2-222222-2200-220000000000000000-222-2000000000000-2200002-2000000000000
χ572-2-22-222-1-22-22-2112-2-1-1-221-111-1-2-21-11112-1-1-121-1001-100−i3i3−i3i3−i3i300i3−i3i3−i3i3−i32-2-22000000000000-1100001-1−i3i3i3−i300000000
χ582-2-22-222-1-22-22-2112-2-1-1-221-111-1-2-21-11112-1-1-121-1001-100−i3i3−i3i3−i3i300i3−i3i3−i3i3−i3-222-20000000000001-10000-11i3−i3−i3i300000000
χ592-2-22-222-1-22-22-2112-2-1-1-221-111-1-2-21-11112-1-1-121-1001-100i3−i3i3−i3i3−i300−i3i3−i3i3−i3i32-2-22000000000000-1100001-1i3−i3−i3i300000000
χ602-2-22-222-1-22-22-2112-2-1-1-221-111-1-2-21-11112-1-1-121-1001-100i3−i3i3−i3i3−i300−i3i3−i3i3−i3i3-222-20000000000001-10000-11−i3i3i3−i300000000
χ614444444-2-4-4-4-44-2-244-2-244-2-2-2-2-2-4-422222-4222-4-2-200220000000000000000000000000000000000000000000000000000
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
χ664444-4-44-24-4-444-2-244-2-2-4-422-2-2-24-4-2-2222-422242200-2-20000000000000000000000000000000000000000000000000000
χ674444-4-4-244-4-44-244-2-24-222-4-4-2-2-2-2244-4222-422-22200-2-20000000000000000000000000000000000000000000000000000
χ684444-4-4-24-444-4-244-2-24-222-4-4-2-2-22-2-4-44-2-2-24-2-222200220000000000000000000000000000000000000000000000000000
χ694444-4-4-2-24-4-44-2-2-2-2-2-212222111-22-2-22-1-122-1-1-2-1-1001100003i−3i−3i3i00003i−3i−3i3i000000000000000000000000000000000000
χ704444-4-4-2-24-4-44-2-2-2-2-2-212222111-22-2-22-1-122-1-1-2-1-100110000−3i3i3i−3i0000−3i3i3i−3i000000000000000000000000000000000000
χ714444-4-4-2-2-444-4-2-2-2-2-2-2122221112-222-211-2-2112-1-100-1-100−2i32i3i3−i3i3−i300−2i32i3i3−i3i3−i3000000000000000000000000000000000000
χ724444-4-4-2-2-444-4-2-2-2-2-2-2122221112-222-211-2-2112-1-100-1-1002i3−2i3−i3i3−i3i3002i3−2i3−i3i3−i3i3000000000000000000000000000000000000
χ7344-4-40044000044-4-4-4-4400004-4-400000000000000000000000000000000000000000022−2222−22000000000000000000000000
χ7444-4-40044000044-4-4-4-4400004-4-4000000000000000000000000000000000000000000−2222−2222000000000000000000000000
χ754-44-400440000-4-44-44-440000-44-4000000000000000000000000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ764-44-400440000-4-44-44-440000-44-40000000000000000000000000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ774-4-444-44-2-4-444-4224-4-2-24-4-2222-2-442-2-2-2-2-42224-22002-20000000000000000000000000000000000000000000000000000
χ784-4-444-4-2-244-4-4222-22-21-22-22-1-11-22-222-1-1-2-21121-14-41-1-2-2-2-211112222-1-1-1-1000000000000000000000000000000000000
χ794-4-444-4-2-244-4-4222-22-21-22-22-1-11-22-222-1-1-2-21121-1-441-12222-1-1-1-1-2-2-2-21111000000000000000000000000000000000000
χ804-4-444-4-2-2-4-444222-22-21-22-22-1-112-22-2-21122-1-1-21-100-1123−2300−3−333−23230033−3−3000000000000000000000000000000000000
χ814-4-444-4-2-2-4-444222-22-21-22-22-1-112-22-2-21122-1-1-21-100-11−23230033−3−323−2300−3−333000000000000000000000000000000000000
χ824-4-44-444-24-44-4-4224-4-2-2-442-222-244-22-2-2-2-4222-42-200-220000000000000000000000000000000000000000000000000000
χ834-4-44-44-244-44-42-4-4-224-22-2-4422-2-2-24-44-2-22-42222-200-220000000000000000000000000000000000000000000000000000
χ844-4-44-44-24-44-442-4-4-224-22-2-4422-222-44-422-24-2-2-22-2002-20000000000000000000000000000000000000000000000000000
χ854-4-44-44-2-24-44-4222-22-212-22-2-1-11-2-2-22-21122-1-12-11001-100003i−3i−3i3i0000−3i3i3i−3i000000000000000000000000000000000000
χ864-4-44-44-2-24-44-4222-22-212-22-2-1-11-2-2-22-21122-1-12-11001-10000−3i3i3i−3i00003i−3i−3i3i000000000000000000000000000000000000
χ874-4-44-44-2-2-44-44222-22-212-22-2-1-11222-22-1-1-2-211-2-1100-1100−2i32i3i3−i3i3−i3002i3−2i3−i3i3−i3i3000000000000000000000000000000000000
χ884-4-44-44-2-2-44-44222-22-212-22-2-1-11222-22-1-1-2-211-2-1100-11002i3−2i3−i3i3−i3i300−2i32i3i3−i3i3−i3000000000000000000000000000000000000
χ8988-8-8008-400008-44-8-84-40000-4440000000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-800-480000-48-844-8-40000-4440000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-800-4-40000-4-44444200002-2-2000006i−6i006i−6i00000000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-40000-4-44444200002-2-200000−6i6i00−6i6i00000000000000000000000000000000000000000000000000000000000
χ938-88-8008-40000-84-4-884-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ948-88-800-4800004-884-4-8-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ958-88-800-4-4000044-44-4420000-22-2000006i−6i00−6i6i00000000000000000000000000000000000000000000000000000000000
χ968-88-800-4-4000044-44-4420000-22-200000−6i6i006i−6i00000000000000000000000000000000000000000000000000000000000

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