Finite Group Databasebeta

← Group #11787906

Character table — Group #11787906

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121224242424242424242424242424242424242424243636363636363636
order122222334444666666366666661212121212121212121212126688121224242424242424242424242424242424444444442266668812121212121212122424242444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111
χ81111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ911-1-1-111111-1-1-1-11-1-1111-11-1-1-1111-11111-1-1-1-1-11-1i−i1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1ii−i−i1-111-1-1i−iii−i−i11-1-1ii−i−iii−i−i11-1-1
χ1011-1-1-111111-1-1-1-11-1-1111-11-1-1-1111-11111-1-1-1-1-11-1i−i1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1−i−iii-11-1-111i−i−i−iii11-1-1ii−i−i−i−iii-1-111
χ1111-1-1-111111-1-1-1-11-1-1111-11-1-1-1111-11111-1-1-1-1-11-1i−i1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111ii−i−i1-111-1-1−iiii−i−i-1-111−i−iii−i−iii-1-111
χ1211-1-1-111111-1-1-1-11-1-1111-11-1-1-1111-11111-1-1-1-1-11-1i−i1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111−i−iii-11-1-111−ii−i−iii-1-111−i−iiiii−i−i11-1-1
χ1311-1-1-111111-1-1-1-11-1-1111-11-1-1-1111-11111-1-1-1-1-11-1−ii1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1ii−i−i-11-1-111−iiii−i−i11-1-1−i−iiiii−i−i-1-111
χ1411-1-1-111111-1-1-1-11-1-1111-11-1-1-1111-11111-1-1-1-1-11-1−ii1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−iii1-111-1-1−ii−i−iii11-1-1−i−iii−i−iii11-1-1
χ1511-1-1-111111-1-1-1-11-1-1111-11-1-1-1111-11111-1-1-1-1-11-1−ii1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111ii−i−i-11-1-111i−iii−i−i-1-111ii−i−i−i−iii11-1-1
χ1611-1-1-111111-1-1-1-11-1-1111-11-1-1-1111-11111-1-1-1-1-11-1−ii1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111−i−iii1-111-1-1i−i−i−iii-1-111ii−i−iii−i−i-1-111
χ1722222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-22200-2-200000000000000002-22-200000000000000002-22-2000000000000
χ1822222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-22200-2-20000000000000000-22-220000000000000000-22-22000000000000
χ192222222-1222222-1-1-12-122-1-1-1-1-1-1-1-122-1-1-12-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-10000222222-1-1-1-100-1-1-1-10000000000000000
χ202222222-1222222-1-1-12-122-1-1-1-1-1-1-1-122-1-1-12-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-2-2-211110011110000000000000000
χ212222222-1222222-1-1-12-122-1-1-1-1-1-1-1-122-1-1-12-1-12-1-1-2-2-1-1-2-2111111-2-211111100002222-2-2111100-1-1-1-10000000000000000
χ222222222-1222222-1-1-12-122-1-1-1-1-1-1-1-122-1-1-12-1-12-1-1-2-2-1-1-2-2111111-2-21111110000-2-2-2-222-1-1-1-10011110000000000000000
χ23222222-122222-1-1222-1-1-1-122-1-1-1222-1-1-1-12-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-122220000000000220000-1-1-1-1-1-1-1-100000000
χ24222222-122222-1-1222-1-1-1-122-1-1-1222-1-1-1-12-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-20000000000-2-200001111111100000000
χ25222222-122222-1-1222-1-1-1-122-1-1-1222-1-1-1-12-1-1-1-1-1-1-2-2-1-111-2-2111111-2-2111122220000000000-2-20000-1-1-1-1111100000000
χ26222222-122222-1-1222-1-1-1-122-1-1-1222-1-1-1-12-1-1-1-1-1-1-2-2-1-111-2-2111111-2-21111-2-2-2-200000000002200001111-1-1-1-100000000
χ27222222-12-2-2-2-2-1-1222-1-1-1-122-1-1-1-2-2-21111-21111-1-100113−30033−3−33−30033−3−32-22-20000000000000000-11-113−33−300000000
χ28222222-12-2-2-2-2-1-1222-1-1-1-122-1-1-1-2-2-21111-21111-1-100113−30033−3−33−30033−3−3-22-2200000000000000001-11-1−33−3300000000
χ29222222-12-2-2-2-2-1-1222-1-1-1-122-1-1-1-2-2-21111-21111-1-10011−3300−3−333−3300−3−3332-22-20000000000000000-11-11−33−3300000000
χ30222222-12-2-2-2-2-1-1222-1-1-1-122-1-1-1-2-2-21111-21111-1-10011−3300−3−333−3300−3−333-22-2200000000000000001-11-13−33−300000000
χ312222-2-2222-22-22222222-2-2-2-22222-2-22-2222222-2-2-200-2-2000000000000000000002-22-2000000002-22-20000000000000000
χ322222-2-2222-22-22222222-2-2-2-22222-2-22-2222222-2-2-200-2-200000000000000000000-22-2200000000-22-220000000000000000
χ332222-2-222-22-222222222-2-2-2-2222-222-22-2-2-2-2-2-22-2-20022000000000000000000000000000000000000000000002-22-20000
χ342222-2-222-22-222222222-2-2-2-2222-222-22-2-2-2-2-2-22-2-2002200000000000000000000000000000000000000000000-22-220000
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−i3i300002-22-200−i3i3−i3i300-11-110000000000000000
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−i3i30000-22-2200i3−i3i3−i3001-11-10000000000000000
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−i300002-22-200i3−i3i3−i300-11-110000000000000000
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−i30000-22-2200−i3i3−i3i3001-11-10000000000000000
χ3922-2-22-2222-2-22-2-22-2-222-22-22-2-222-222-222-2-2-2-22-2200-22000000000000000000002i−2i−2i2i000000002i−2i−2i2i0000000000000000
χ4022-2-22-2222-2-22-2-22-2-222-22-22-2-222-222-222-2-2-2-22-2200-2200000000000000000000−2i2i2i−2i00000000−2i2i2i−2i0000000000000000
χ4122-2-22-222-222-2-2-22-2-222-22-22-2-22-22-2-22-2-22222-2-22002-2000000000000000000000000000000000000000000002i−2i−2i2i0000
χ4222-2-22-222-222-2-2-22-2-222-22-22-2-22-22-2-22-2-22222-2-22002-200000000000000000000000000000000000000000000−2i2i2i−2i0000
χ4322-2-22-22-12-2-22-2-2-1112-1-221-111-1-11-12-2-1-11-21121-1001-1003−33−33−300−33−33−3300002i−2i−2i2i00−i3i3i3−i300−iii−i0000000000000000
χ4422-2-22-22-12-2-22-2-2-1112-1-221-111-1-11-12-2-1-11-21121-1001-1003−33−33−300−33−33−330000−2i2i2i−2i00i3−i3−i3i300i−i−ii0000000000000000
χ4522-2-22-22-12-2-22-2-2-1112-1-221-111-1-11-12-2-1-11-21121-1001-100−33−33−33003−33−33−300002i−2i−2i2i00i3−i3−i3i300−iii−i0000000000000000
χ4622-2-22-22-12-2-22-2-2-1112-1-221-111-1-11-12-2-1-11-21121-1001-100−33−33−33003−33−33−30000−2i2i2i−2i00−i3i3i3−i300i−i−ii0000000000000000
χ4722-2-2-2222-2-222-2-22-2-2222-22-2-2-22-2-22-2-2-2-2222222-200-2200000000000000002-2-2200000000000000002-2-22000000000000
χ4822-2-2-2222-2-222-2-22-2-2222-22-2-2-22-2-22-2-2-2-2222222-200-220000000000000000-222-20000000000000000-222-2000000000000
χ4922-2-2-222-122-2-2-2-2-1112-12-2-1111-1-1-1122-1-11-211-2-112i−2i-112i2i−i−i−i−i−i−i−2i−2iiiiiii00002i2i−2i−2i2-2-1-11100−i−iii0000000000000000
χ5022-2-2-222-122-2-2-2-2-1112-12-2-1111-1-1-1122-1-11-211-2-112i−2i-112i2i−i−i−i−i−i−i−2i−2iiiiiii0000−2i−2i2i2i-2211-1-100ii−i−i0000000000000000
χ5122-2-2-222-122-2-2-2-2-1112-12-2-1111-1-1-1122-1-11-211-2-11−2i2i-11−2i−2iiiiiii2i2i−i−i−i−i−i−i00002i2i−2i−2i-2211-1-100−i−iii0000000000000000
χ5222-2-2-222-122-2-2-2-2-1112-12-2-1111-1-1-1122-1-11-211-2-11−2i2i-11−2i−2iiiiiii2i2i−i−i−i−i−i−i0000−2i−2i2i2i2-2-1-11100ii−i−i0000000000000000
χ5322-2-2-22-1222-2-2112-2-2-1-1-112-211-122-2-1-1-1-1-21111-112i−2i-11−i−i2i2i−i−i−i−iii−2i−2iiiii22-2-200000000002i−2i0000-1-111−i−iii00000000
χ5422-2-2-22-1222-2-2112-2-2-1-1-112-211-122-2-1-1-1-1-21111-112i−2i-11−i−i2i2i−i−i−i−iii−2i−2iiiii-2-2220000000000−2i2i000011-1-1ii−i−i00000000
χ5522-2-2-22-1222-2-2112-2-2-1-1-112-211-122-2-1-1-1-1-21111-11−2i2i-11ii−2i−2iiiii−i−i2i2i−i−i−i−i22-2-20000000000−2i2i0000-1-111ii−i−i00000000
χ5622-2-2-22-1222-2-2112-2-2-1-1-112-211-122-2-1-1-1-1-21111-11−2i2i-11ii−2i−2iiiii−i−i2i2i−i−i−i−i-2-22200000000002i−2i000011-1-1−i−iii00000000
χ5722-2-2-22-12-2-222112-2-2-1-1-112-211-1-2-2211112-1-1-1-1-11001-1−i3i300−i3−i3i3i3i3−i300i3i3−i3−i32-2-220000000000000000-111-1−i3i3i3−i300000000
χ5822-2-2-22-12-2-222112-2-2-1-1-112-211-1-2-2211112-1-1-1-1-11001-1−i3i300−i3−i3i3i3i3−i300i3i3−i3−i3-222-200000000000000001-1-11i3−i3−i3i300000000
χ5922-2-2-22-12-2-222112-2-2-1-1-112-211-1-2-2211112-1-1-1-1-11001-1i3−i300i3i3−i3−i3−i3i300−i3−i3i3i32-2-220000000000000000-111-1i3−i3−i3i300000000
χ6022-2-2-22-12-2-222112-2-2-1-1-112-211-1-2-2211112-1-1-1-1-11001-1i3−i300i3i3−i3−i3−i3i300−i3−i3i3i3-222-200000000000000001-1-11−i3i3i3−i300000000
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
χ7344-4-44-44-2-444-4-4-4-2224-2-442-222-22-22-4422-24-2-2-42-200-220000000000000000000000000000000000000000000000000000
χ7444-4-44-4-244-4-44224-4-4-2-22-2-4422-24-44-22-2-2-4222-22-2002-20000000000000000000000000000000000000000000000000000
χ7544-4-44-4-24-444-4224-4-4-2-22-2-4422-2-44-42-2224-2-2-222-200-220000000000000000000000000000000000000000000000000000
χ7644-4-44-4-2-24-4-4422-222-212-22-2-1-11-22-2-221122-1-1-2-1100-110023−23−33−3300−23233−33−3000000000000000000000000000000000000
χ7744-4-44-4-2-24-4-4422-222-212-22-2-1-11-22-2-221122-1-1-2-1100-1100−23233−33−30023−23−33−33000000000000000000000000000000000000
χ7844-4-44-4-2-2-444-422-222-212-22-2-1-112-222-2-1-1-2-2112-11001-100003-3-330000-333-3000000000000000000000000000000000000
χ7944-4-44-4-2-2-444-422-222-212-22-2-1-112-222-2-1-1-2-2112-11001-10000-333-300003-3-33000000000000000000000000000000000000
χ8044-4-4-444-2-4-444-4-4-2224-24-4-2222-222-2-4-422-24-2-24-22002-20000000000000000000000000000000000000000000000000000
χ8144-4-4-44-2-244-4-422-222-21-22-22-1-11-2-22-2-21122-1-121-14i−4i1-1−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i000000000000000000000000000000000000
χ8244-4-4-44-2-244-4-422-222-21-22-22-1-11-2-22-2-21122-1-121-1−4i4i1-12i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii000000000000000000000000000000000000
χ8344-4-4-44-2-2-4-44422-222-21-22-22-1-1122-222-1-1-2-211-21-100-11−2i32i300i3i3−i3−i32i3−2i300−i3−i3i3i3000000000000000000000000000000000000
χ8444-4-4-44-2-2-4-44422-222-21-22-22-1-1122-222-1-1-2-211-21-100-112i3−2i300−i3−i3i3i3−2i32i300i3i3−i3−i3000000000000000000000000000000000000
χ854-44-4004400004-4-44-4-4400004-4-40000000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i
χ864-44-4004400004-4-44-4-4400004-4-4000000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i
χ874-4-4400440000-44-4-44-440000-44-40000000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i
χ884-4-4400440000-44-4-44-440000-44-4000000000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i
χ898-88-8008-400008-84-44-8-40000-4440000000000000000000000000000000000000000000000000000000000000000000000
χ908-88-800-480000-44-88-84-40000-4440000000000000000000000000000000000000000000000000000000000000000000000
χ918-88-800-4-40000-444-444200002-2-2000006i−6i006i−6i00000000000000000000000000000000000000000000000000000000000
χ928-88-800-4-40000-444-444200002-2-200000−6i6i00−6i6i00000000000000000000000000000000000000000000000000000000000
χ938-8-88008-40000-8844-4-8-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ948-8-8800-4800004-4-8-884-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-400004-444-4420000-22-2000006i−6i00−6i6i00000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-400004-444-4420000-22-200000−6i6i006i−6i00000000000000000000000000000000000000000000000000000000000

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