Finite Group Databasebeta

← Group #11788343

Character table — Group #11788343

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121218181818242424242424242424242424242424242424242436367272
order1222223344446666663666666612121212121212121212121266881212242424242424242424242424242424248888888822444444121212121212121224242424242424242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111
χ71111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ81111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1
χ911111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111i−i-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−iii−i−i11-1-11-11-111-1-111-1-1ii−i−iii−i−i1-1i−i
χ1011111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111i−i-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−i−i−iii-1-1111-1-1111-1-1-1-111ii−i−i−i−iii-11−ii
χ1111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111i−i-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iiiii−i−i-1-111-111-1-1-11111-1-1−i−iiiii−i−i-11−ii
χ1211111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111i−i-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iii−i−iii11-1-1-11-11-1-111-1-111−i−iii−i−iii1-1i−i
χ1311111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111−ii-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−iii−i−i11-1-1-11-11-1-111-1-111ii−i−iii−i−i1-1−ii
χ1411111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111−ii-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−iii-1-111-111-1-1-11111-1-1ii−i−i−i−iii-11i−i
χ1511111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111−ii-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iiiii−i−i-1-1111-1-1111-1-1-1-111−i−iiiii−i−i-11i−i
χ1611111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111−ii-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii−i−iii11-1-11-11-111-1-111-1-1−i−iii−i−iii1-1−ii
χ172222222-1222222-1-1-12-122-1-1-1-1-1-1-122-1-1-12-1-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-12222000000002200-1-1-1-10000-1-1-1-100000000
χ182222222-1222222-1-1-12-122-1-1-1-1-1-1-122-1-1-12-1-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-200000000-2-20011110000111100000000
χ192222222-1222222-1-1-12-122-1-1-1-1-1-1-122-1-1-12-1-1-12-1-1-2-2-1-1-2-2111111-2-2111111222200000000-2-20011110000-1-1-1-100000000
χ202222222-1222222-1-1-12-122-1-1-1-1-1-1-122-1-1-12-1-1-12-1-1-2-2-1-1-2-2111111-2-2111111-2-2-2-2000000002200-1-1-1-10000111100000000
χ212222222-1-2-2-2-222-1-1-12-122-1-1-1-1-111-2-2111-2111-2-1-12i−2i112i2i−i−i−i−i−i−i−2i−2iiiiiii2i2i−2i−2i000000002-200-1-1110000−i−iii00000000
χ222222222-1-2-2-2-222-1-1-12-122-1-1-1-1-111-2-2111-2111-2-1-12i−2i112i2i−i−i−i−i−i−i−2i−2iiiiiii−2i−2i2i2i00000000-220011-1-10000ii−i−i00000000
χ232222222-1-2-2-2-222-1-1-12-122-1-1-1-1-111-2-2111-2111-2-1-1−2i2i11−2i−2iiiiiii2i2i−i−i−i−i−i−i2i2i−2i−2i00000000-220011-1-10000−i−iii00000000
χ242222222-1-2-2-2-222-1-1-12-122-1-1-1-1-111-2-2111-2111-2-1-1−2i2i11−2i−2iiiiiii2i2i−i−i−i−i−i−i−2i−2i2i2i000000002-200-1-1110000ii−i−i00000000
χ25222222-122222-1-1222-1-1-1-122-1-1-122-1-1-1-12-1-1-12-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-100002222000000220000-1-1-1-10000-1-1-1-10000
χ26222222-122222-1-1222-1-1-1-122-1-1-122-1-1-1-12-1-1-12-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-2-2-2-2000000-2-200001111000011110000
χ27222222-122222-1-1222-1-1-1-122-1-1-122-1-1-1-12-1-1-12-1-1-1-2-2-1-111-2-2111111-2-2111100002222000000-2-2000011110000-1-1-1-10000
χ28222222-122222-1-1222-1-1-1-122-1-1-122-1-1-1-12-1-1-12-1-1-1-2-2-1-111-2-2111111-2-211110000-2-2-2-2000000220000-1-1-1-1000011110000
χ29222222-12-2-2-2-2-1-1222-1-1-1-122-1-1-1-2-21111-2111-21-1-12i−2i11−i−i2i2i−i−i−i−iii−2i−2iiiii00002i2i−2i−2i0000002-20000-1-1110000−i−iii0000
χ30222222-12-2-2-2-2-1-1222-1-1-1-122-1-1-1-2-21111-2111-21-1-12i−2i11−i−i2i2i−i−i−i−iii−2i−2iiiii0000−2i−2i2i2i000000-22000011-1-10000ii−i−i0000
χ31222222-12-2-2-2-2-1-1222-1-1-1-122-1-1-1-2-21111-2111-21-1-1−2i2i11ii−2i−2iiiii−i−i2i2i−i−i−i−i00002i2i−2i−2i000000-22000011-1-10000−i−iii0000
χ32222222-12-2-2-2-2-1-1222-1-1-1-122-1-1-1-2-21111-2111-21-1-1−2i2i11ii−2i−2iiiii−i−i2i2i−i−i−i−i0000−2i−2i2i2i0000002-20000-1-1110000ii−i−i0000
χ332222-2-2222-22-22222222-2-2-2-22222-22-2-2-2-2-2-2-222-2-20022000000000000000000000000222200000000000000000000-2-200
χ342222-2-2222-22-22222222-2-2-2-22222-22-2-2-2-2-2-2-222-2-20022000000000000000000000000-2-2-2-2000000000000000000002200
χ352222-2-222-22-222222222-2-2-2-2222-22-22222222-2-2-2-200-2-200000000000000000000000022-2-200000000000000000000-2200
χ362222-2-222-22-222222222-2-2-2-2222-22-22222222-2-2-2-200-2-2000000000000000000000000-2-222000000000000000000002-200
χ372-2-222-22222-2-2-2-2-22-2222-22-2-2-222-22-2-2-22222-2-22-2002-200000000000000002i−2i2i−2i000000000000000000002i−2i2i−2i00000000
χ382-2-222-22222-2-2-2-2-22-2222-22-2-2-222-22-2-2-22222-2-22-2002-20000000000000000−2i2i−2i2i00000000000000000000−2i2i−2i2i00000000
χ392-2-222-222-2-222-2-2-22-2222-22-2-2-22-22-2222-2-2-2-2222-200-2200000000000000002-2-22000000000000000000002-2-2200000000
χ402-2-222-222-2-222-2-2-22-2222-22-2-2-22-22-2222-2-2-2-2222-200-220000000000000000-222-200000000000000000000-222-200000000
χ412-2-222-22-122-2-2-2-21-112-12-2-1111-1-112-211-12-1-11-2-1100-1100−i3i3−i3−i3i3i300−i3i3−i3−i3i3i32i−2i2i−2i0000000000003−33−30000−ii−ii00000000
χ422-2-222-22-122-2-2-2-21-112-12-2-1111-1-112-211-12-1-11-2-1100-1100−i3i3−i3−i3i3i300−i3i3−i3−i3i3i3−2i2i−2i2i000000000000−33−330000i−ii−i00000000
χ432-2-222-22-122-2-2-2-21-112-12-2-1111-1-112-211-12-1-11-2-1100-1100i3−i3i3i3−i3−i300i3−i3i3i3−i3−i32i−2i2i−2i000000000000−33−330000−ii−ii00000000
χ442-2-222-22-122-2-2-2-21-112-12-2-1111-1-112-211-12-1-11-2-1100-1100i3−i3i3i3−i3−i300i3−i3i3i3−i3−i3−2i2i−2i2i0000000000003−33−30000i−ii−i00000000
χ452-2-222-22-1-2-222-2-21-112-12-2-1111-11-1-22-1-11-211-12-11001-1003−333−3−300−33−3−3332-2-22000000000000−333−30000-111-100000000
χ462-2-222-22-1-2-222-2-21-112-12-2-1111-11-1-22-1-11-211-12-11001-1003−333−3−300−33−3−333-222-20000000000003−3−3300001-1-1100000000
χ472-2-222-22-1-2-222-2-21-112-12-2-1111-11-1-22-1-11-211-12-11001-100−33−3−333003−333−3−32-2-220000000000003−3−330000-111-100000000
χ482-2-222-22-1-2-222-2-21-112-12-2-1111-11-1-22-1-11-211-12-11001-100−33−3−333003−333−3−3-222-2000000000000−333−300001-1-1100000000
χ492-2-22-22222-2-22-2-2-22-222-22-22-2-22222222-2-2-2-2-2-2-22002-2000000000000000000002i−2i2i−2i000000000000000000002i−2i2i−2i0000
χ502-2-22-22222-2-22-2-2-22-222-22-22-2-22222222-2-2-2-2-2-2-22002-200000000000000000000−2i2i−2i2i00000000000000000000−2i2i−2i2i0000
χ512-2-22-2222-222-2-2-2-22-222-22-22-2-22-2-2-2-2-2-2222222-2200-22000000000000000000002-2-22000000000000000000002-2-220000
χ522-2-22-2222-222-2-2-2-22-222-22-22-2-22-2-2-2-2-2-2222222-2200-2200000000000000000000-222-200000000000000000000-222-20000
χ532-2-22-22-122-2-2211-22-2-1-11-1-2211-122-1-1-1-1-2111-211-100-113−3003−33−33−3003−33−300002i−2i2i−2i000000000000−i3i3−i3i30000−ii−ii0000
χ542-2-22-22-122-2-2211-22-2-1-11-1-2211-122-1-1-1-1-2111-211-100-113−3003−33−33−3003−33−30000−2i2i−2i2i000000000000i3−i3i3−i30000i−ii−i0000
χ552-2-22-22-122-2-2211-22-2-1-11-1-2211-122-1-1-1-1-2111-211-100-11−3300−33−33−3300−33−3300002i−2i2i−2i000000000000i3−i3i3−i30000−ii−ii0000
χ562-2-22-22-122-2-2211-22-2-1-11-1-2211-122-1-1-1-1-2111-211-100-11−3300−33−33−3300−33−330000−2i2i−2i2i000000000000−i3i3−i3i30000i−ii−i0000
χ572-2-22-22-12-222-211-22-2-1-11-1-2211-1-2-211112-1-1-12-11-1001-1−i3i300−i3i3−i3i3i3−i300i3−i3i3−i300002-2-22000000000000−i3i3i3−i30000-111-10000
χ582-2-22-22-12-222-211-22-2-1-11-1-2211-1-2-211112-1-1-12-11-1001-1−i3i300−i3i3−i3i3i3−i300i3−i3i3−i30000-222-2000000000000i3−i3−i3i300001-1-110000
χ592-2-22-22-12-222-211-22-2-1-11-1-2211-1-2-211112-1-1-12-11-1001-1i3−i300i3−i3i3−i3−i3i300−i3i3−i3i300002-2-22000000000000i3−i3−i3i30000-111-10000
χ602-2-22-22-12-222-211-22-2-1-11-1-2211-1-2-211112-1-1-12-11-1001-1i3−i300i3−i3i3−i3−i3i300−i3i3−i3i30000-222-2000000000000−i3i3i3−i300001-1-110000
χ61444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-211-2-211-2-2114411-2-2-2-21111-2-2-2-21111000000000000000000000000000000000000
χ62444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-211-2-211-2-211-4-4112222-1-1-1-12222-1-1-1-1000000000000000000000000000000000000
χ63444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21112222-1-122-1-122114i−4i-1-1−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i000000000000000000000000000000000000
χ64444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21112222-1-122-1-12211−4i4i-1-12i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii000000000000000000000000000000000000
χ654444-4-44-24-44-444-2-2-24-2-4-422-2-2-2-224-4222-422-242200-2-20000000000000000000000000000000000000000000000000000
χ664444-4-44-2-44-4444-2-2-24-2-4-422-2-2-22-2-44-2-2-24-2-22-42200220000000000000000000000000000000000000000000000000000
χ674444-4-4-244-44-4-2-2444-2-222-4-4-2-2-24-4-2222-42224-22200-2-20000000000000000000000000000000000000000000000000000
χ684444-4-4-24-44-44-2-2444-2-222-4-4-2-2-2-442-2-2-24-2-2-2-422200220000000000000000000000000000000000000000000000000000
χ694444-4-4-2-24-44-4-2-2-2-2-2-212222111-22-22-1-122-1-1-2-2-1-1001100003i−3i−3i3i00003i−3i−3i3i000000000000000000000000000000000000
χ704444-4-4-2-24-44-4-2-2-2-2-2-212222111-22-22-1-122-1-1-2-2-1-100110000−3i3i3i−3i0000−3i3i3i−3i000000000000000000000000000000000000
χ714444-4-4-2-2-44-44-2-2-2-2-2-2122221112-22-211-2-21122-1-100-1-100003-3-330000-333-3000000000000000000000000000000000000
χ724444-4-4-2-2-44-44-2-2-2-2-2-2122221112-22-211-2-21122-1-100-1-10000-333-300003-3-33000000000000000000000000000000000000
χ7344-4-4004400004-44-4-4-4400004-4-40000000000000000000000000000000000000000004-400000000000000000000000000
χ7444-4-4004400004-44-4-4-4400004-4-4000000000000000000000000000000000000000000-4400000000000000000000000000
χ754-44-400440000-44-4-44-440000-44-4000000000000000000000000000000000000000000004i−4i000000000000000000000000
χ764-44-400440000-44-4-44-440000-44-400000000000000000000000000000000000000000000−4i4i000000000000000000000000
χ774-4-444-4-2444-4-422-44-4-2-2-224-422-24-4-22224-2-2-2-42-2200-220000000000000000000000000000000000000000000000000000
χ784-4-444-4-24-4-44422-44-4-2-2-224-422-2-442-2-2-2-42224-2-22002-20000000000000000000000000000000000000000000000000000
χ794-4-444-4-2-244-4-4222-22-21-22-22-1-11-22-22-1-1-2-211221-1001-100−2i32i3i3i3−i3−i300−2i32i3i3i3−i3−i3000000000000000000000000000000000000
χ804-4-444-4-2-244-4-4222-22-21-22-22-1-11-22-22-1-1-2-211221-1001-1002i3−2i3−i3−i3i3i3002i3−2i3−i3−i3i3i3000000000000000000000000000000000000
χ814-4-444-4-2-2-4-444222-22-21-22-22-1-112-22-21122-1-1-2-21-100-110023−23−3−33300−232333−3−3000000000000000000000000000000000000
χ824-4-444-4-2-2-4-444222-22-21-22-22-1-112-22-21122-1-1-2-21-100-1100−232333−3−30023−23−3−333000000000000000000000000000000000000
χ834-4-44-444-24-4-44-4-42-224-2-442-222-2-2-244-2-22-4222-42-200-220000000000000000000000000000000000000000000000000000
χ844-4-44-444-2-444-4-4-42-224-2-442-222-222-4-422-24-2-2-242-2002-20000000000000000000000000000000000000000000000000000
χ854-4-44-44-2-24-4-44222-22-212-22-2-1-11-2-2-2-21122-1-122-11001-123−2300−33−3323−2300−33−33000000000000000000000000000000000000
χ864-4-44-44-2-24-4-44222-22-212-22-2-1-11-2-2-2-21122-1-122-11001-1−2323003−33−3−2323003−33−3000000000000000000000000000000000000
χ874-4-44-44-2-2-444-4222-22-212-22-2-1-112222-1-1-2-211-2-2-1100-11−2i32i300i3−i3i3−i32i3−2i300−i3i3−i3i3000000000000000000000000000000000000
χ884-4-44-44-2-2-444-4222-22-212-22-2-1-112222-1-1-2-211-2-2-1100-112i3−2i300−i3i3−i3i3−2i32i300i3−i3i3−i3000000000000000000000000000000000000
χ8988-8-8008-400008-8-444-8-40000-4440000000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-800-480000-448-8-84-40000-4440000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-800-4-40000-44-4444200002-2-200006i−6i006i−6i000000000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-40000-44-4444200002-2-20000−6i6i00−6i6i000000000000000000000000000000000000000000000000000000000000
χ938-88-8008-40000-8844-4-8-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ948-88-800-4800004-4-8-884-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ958-88-800-4-400004-444-4420000-22-200006i−6i00−6i6i000000000000000000000000000000000000000000000000000000000000
χ968-88-800-4-400004-444-4420000-22-20000−6i6i006i−6i000000000000000000000000000000000000000000000000000000000000

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