Finite Group Databasebeta

← Group #11786015

Character table — Group #11786015

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121218181818242424242424242424242424242424242424242436367272
order124422233444661212121236666666661212121212121212121266881212242424242424242424242424242424244444888888884444121212121212121212121212242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111
χ71111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111
χ81111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-1
χ91111-11-111-11-111111111-1-1-1-111-1-111-1-111-1-1-1-11-1i−i1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-11111i−ii−i11-1-1ii−i−iii−i−i11-1-1-1-1i−i
χ101111-11-111-11-111111111-1-1-1-111-1-111-1-111-1-1-1-11-1i−i1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-111-1-1-1-1i−i−ii11-1-1ii−i−i−i−iii-1-11111−ii
χ111111-11-111-11-111111111-1-1-1-111-1-111-1-111-1-1-1-11-1i−i1-1iiiiiiii−i−i−i−i−i−i−i−i-1-11111-1-1-1-1-1-1−iii−i-1-111−i−iiiii−i−i11-1-111−ii
χ121111-11-111-11-111111111-1-1-1-111-1-111-1-111-1-1-1-11-1i−i1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-1111111−ii−ii-1-111−i−iii−i−iii-1-111-1-1i−i
χ131111-11-111-11-111111111-1-1-1-111-1-111-1-111-1-1-1-11-1−ii1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-11111−ii−ii11-1-1−i−iii−i−iii11-1-1-1-1−ii
χ141111-11-111-11-111111111-1-1-1-111-1-111-1-111-1-1-1-11-1−ii1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-111-1-1-1-1−iii−i11-1-1−i−iiiii−i−i-1-11111i−i
χ151111-11-111-11-111111111-1-1-1-111-1-111-1-111-1-1-1-11-1−ii1-1−i−i−i−i−i−i−i−iiiiiiiii-1-11111-1-1-1-1-1-1i−i−ii-1-111ii−i−i−i−iii11-1-111i−i
χ161111-11-111-11-111111111-1-1-1-111-1-111-1-111-1-1-1-11-1−ii1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-1111111i−ii−i-1-111ii−i−iii−i−i-1-111-1-1−ii
χ1722222222-12222-122-1-1-1-12-1-1-1-122-12-12-1-1-12-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1000022220000002200000000-1-1-1-1-1-1-1-10000
χ1822222222-12222-122-1-1-1-12-1-1-1-122-12-12-1-1-12-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-2000000-2-200000000111111110000
χ1922222222-12222-122-1-1-1-12-1-1-1-122-12-12-1-1-12-1-1-1-1-1-2-2-1-1-2-2111111-2-211111100002222000000-2-2000000001111-1-1-1-10000
χ2022222222-12222-122-1-1-1-12-1-1-1-122-12-12-1-1-12-1-1-1-1-1-2-2-1-1-2-2111111-2-21111110000-2-2-2-20000002200000000-1-1-1-111110000
χ212222222-12222-12-1-122-12-12-1-1-1-1-12-12-12-1-1-12-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-12222000000002200-1-1-1-1-1-1-1-1000000000000
χ222222222-12222-12-1-122-12-12-1-1-1-1-12-12-12-1-1-12-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-200000000-2-20011111111000000000000
χ232222222-12222-12-1-122-12-12-1-1-1-1-12-12-12-1-1-12-1-1-1-1-2-2-1-111-2-2111111-2-21111222200000000-2-200-1-1-1-11111000000000000
χ242222222-12222-12-1-122-12-12-1-1-1-1-12-12-12-1-1-12-1-1-1-1-2-2-1-111-2-2111111-2-21111-2-2-2-20000000022001111-1-1-1-1000000000000
χ2522222-2-222-2-222222222-222222-2-2-2-2-2-2-2222222-2-200-2-200000000000000002i−2i2i−2i0000000000002i−2i2i−2i0000000000000000
χ2622222-2-222-2-222222222-222222-2-2-2-2-2-2-2222222-2-200-2-20000000000000000−2i2i−2i2i000000000000−2i2i−2i2i0000000000000000
χ2722222-2-2-12-2-22-12-1-122-1-2-12-1-1-111-21-21-2-1-1-12-1-1110011−i3i300−i3−i3i3i3−i3i300−i3−i3i3i32i−2i2i−2i000000000000−ii−ii3−33−3000000000000
χ2822222-2-2-12-2-22-12-1-122-1-2-12-1-1-111-21-21-2-1-1-12-1-1110011−i3i300−i3−i3i3i3−i3i300−i3−i3i3i3−2i2i−2i2i000000000000i−ii−i−33−33000000000000
χ2922222-2-2-12-2-22-12-1-122-1-2-12-1-1-111-21-21-2-1-1-12-1-1110011i3−i300i3i3−i3−i3i3−i300i3i3−i3−i32i−2i2i−2i000000000000−ii−ii−33−33000000000000
χ3022222-2-2-12-2-22-12-1-122-1-2-12-1-1-111-21-21-2-1-1-12-1-1110011i3−i300i3i3−i3−i3i3−i300i3i3−i3−i3−2i2i−2i2i000000000000i−ii−i3−33−3000000000000
χ312222-22-22-1-22-22-122-1-1-1-1-2111-12-212-1-21-1-1-2111-112i−2i-112i2i−i−i−i−i−i−i−2i−2iiiiiii000022-2-20000002i−2i00000000−i−iii-1-1110000
χ322222-22-22-1-22-22-122-1-1-1-1-2111-12-212-1-21-1-1-2111-112i−2i-112i2i−i−i−i−i−i−i−2i−2iiiiiii0000-2-222000000−2i2i00000000ii−i−i11-1-10000
χ332222-22-22-1-22-22-122-1-1-1-1-2111-12-212-1-21-1-1-2111-11−2i2i-11−2i−2iiiiiii2i2i−i−i−i−i−i−i000022-2-2000000−2i2i00000000ii−i−i-1-1110000
χ342222-22-22-1-22-22-122-1-1-1-1-2111-12-212-1-21-1-1-2111-11−2i2i-11−2i−2iiiiiii2i2i−i−i−i−i−i−i0000-2-2220000002i−2i00000000−i−iii11-1-10000
χ352222-22-2-12-22-2-12-1-122-121-211-1-11-2-121-2-1-11-211-112i−2i-11−i−i2i2i−i−i−i−iii−2i−2iiiii22-2-2000000002i−2i00-1-111−i−iii000000000000
χ362222-22-2-12-22-2-12-1-122-121-211-1-11-2-121-2-1-11-211-112i−2i-11−i−i2i2i−i−i−i−iii−2i−2iiiii-2-22200000000−2i2i0011-1-1ii−i−i000000000000
χ372222-22-2-12-22-2-12-1-122-121-211-1-11-2-121-2-1-11-211-11−2i2i-11ii−2i−2iiiii−i−i2i2i−i−i−i−i22-2-200000000−2i2i00-1-111ii−i−i000000000000
χ382222-22-2-12-22-2-12-1-122-121-211-1-11-2-121-2-1-11-211-11−2i2i-11ii−2i−2iiiii−i−i2i2i−i−i−i−i-2-222000000002i−2i0011-1-1−i−iii000000000000
χ392222-2-22222-2-22222222-2-2-2-2-22-222-2-22222-2-2-2-2-2200-2200000000000000002i−2i−2i2i0000000000002i−2i−2i2i0000000000000000
χ402222-2-22222-2-22222222-2-2-2-2-22-222-2-22222-2-2-2-2-2200-220000000000000000−2i2i2i−2i000000000000−2i2i2i−2i0000000000000000
χ412222-2-22-122-2-2-12-1-122-1-21-211-11-121-2-12-1-11-2111-1001-13−30033−3−3−3300−3−3332i−2i−2i2i000000000000−iii−ii3−i3−i3i3000000000000
χ422222-2-22-122-2-2-12-1-122-1-21-211-11-121-2-12-1-11-2111-1001-13−30033−3−3−3300−3−333−2i2i2i−2i000000000000i−i−ii−i3i3i3−i3000000000000
χ432222-2-22-122-2-2-12-1-122-1-21-211-11-121-2-12-1-11-2111-1001-1−3300−3−3333−30033−3−32i−2i−2i2i000000000000−iii−i−i3i3i3−i3000000000000
χ442222-2-22-122-2-2-12-1-122-1-21-211-11-121-2-12-1-11-2111-1001-1−3300−3−3333−30033−3−3−2i2i2i−2i000000000000i−i−iii3−i3−i3i3000000000000
χ4522-2-222222-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-22200-2-2000000000000000000002i−2i2i−2i000000000000000000002i−2i2i−2i0000
χ4622-2-222222-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-22200-2-200000000000000000000−2i2i−2i2i00000000000000000000−2i2i−2i2i0000
χ4722-2-22222-1-2-2-22-1-2-211-1-12-1-1-1-122-1-21-2111-2111-1-10011003−33−33−3003−33−33−300002i−2i2i−2i0000000000000000−i3i3−i3i3−ii−ii0000
χ4822-2-22222-1-2-2-22-1-2-211-1-12-1-1-1-122-1-21-2111-2111-1-10011003−33−33−3003−33−33−30000−2i2i−2i2i0000000000000000i3−i3i3−i3i−ii−i0000
χ4922-2-22222-1-2-2-22-1-2-211-1-12-1-1-1-122-1-21-2111-2111-1-1001100−33−33−3300−33−33−3300002i−2i2i−2i0000000000000000i3−i3i3−i3−ii−ii0000
χ5022-2-22222-1-2-2-22-1-2-211-1-12-1-1-1-122-1-21-2111-2111-1-1001100−33−33−3300−33−33−330000−2i2i−2i2i0000000000000000−i3i3−i3i3i−ii−i0000
χ5122-2-22-2-22222-222-2-2-2-22-222222-2-2-22222-2-2-2-2-2-2-2-2002200000000000000000000000022-2-2000000000000000000002-200
χ5222-2-22-2-22222-222-2-2-2-22-222222-2-2-22222-2-2-2-2-2-2-2-20022000000000000000000000000-2-22200000000000000000000-2200
χ5322-2-2-22-2222-2222-2-2-2-222-2-2-2-222-2-2-2-222-2-222222-200-22000000000000000000002i−2i−2i2i000000000000000000002i−2i−2i2i0000
χ5422-2-2-22-2222-2222-2-2-2-222-2-2-2-222-2-2-2-222-2-222222-200-2200000000000000000000−2i2i2i−2i00000000000000000000−2i2i2i−2i0000
χ5522-2-2-22-22-12-222-1-2-211-1-1-2111-12-21-212-1112-1-1-1-11001-100−i3i3−i3i3−i3i300i3−i3i3−i3i3−i300002i−2i−2i2i0000000000000000−333−3−iii−i0000
χ5622-2-2-22-22-12-222-1-2-211-1-1-2111-12-21-212-1112-1-1-1-11001-100−i3i3−i3i3−i3i300i3−i3i3−i3i3−i30000−2i2i2i−2i00000000000000003−3−33i−i−ii0000
χ5722-2-2-22-22-12-222-1-2-211-1-1-2111-12-21-212-1112-1-1-1-11001-100i3−i3i3−i3i3−i300−i3i3−i3i3−i3i300002i−2i−2i2i00000000000000003−3−33−iii−i0000
χ5822-2-2-22-22-12-222-1-2-211-1-1-2111-12-21-212-1112-1-1-1-11001-100i3−i3i3−i3i3−i300−i3i3−i3i3−i3i30000−2i2i2i−2i0000000000000000−333−3i−i−ii0000
χ5922-2-2-2-2222-22222-2-2-2-22-2-2-2-2-22-22222-2-2-2-22222-22002-200000000000000000000000022-2-200000000000000000000-2200
χ6022-2-2-2-2222-22222-2-2-2-22-2-2-2-2-22-22222-2-2-2-22222-22002-2000000000000000000000000-2-222000000000000000000002-200
χ614444444-2-2444-2-2-2-2-2-21-2-2-2111-2-2-2-2-2-2-211-2-211114411-2-2-2-21111-2-2-2-21111000000000000000000000000000000000000
χ624444444-2-2444-2-2-2-2-2-21-2-2-2111-2-2-2-2-2-2-211-2-21111-4-4112222-1-1-1-12222-1-1-1-1000000000000000000000000000000000000
χ6344444-4-44-2-4-444-244-2-2-224-2-2-2-2-4-42-42-42-2-24-2-2-22200220000000000000000000000000000000000000000000000000000
χ6444444-4-4-2-2-4-44-2-2-2-2-2-212-2-2111222222211-2-211-1-100-1-1−2i32i300i3i3−i3−i3−2i32i300i3i3−i3−i3000000000000000000000000000000000000
χ6544444-4-4-2-2-4-44-2-2-2-2-2-212-2-2111222222211-2-211-1-100-1-12i3−2i300−i3−i3i3i32i3−2i300−i3−i3i3i3000000000000000000000000000000000000
χ664444-44-4-2-2-44-4-2-2-2-2-2-21-222-1-11-222-2-2221122-1-11-14i−4i1-1−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i000000000000000000000000000000000000
χ674444-44-4-2-2-44-4-2-2-2-2-2-21-222-1-11-222-2-2221122-1-11-1−4i4i1-12i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii000000000000000000000000000000000000
χ684444-4-444-24-4-44-244-2-2-22-4222-2-44-2-424-2-2-2-42222-2002-20000000000000000000000000000000000000000000000000000
χ694444-4-44-2-24-4-4-2-2-2-2-2-21222-1-112-2-222-2-21122-1-1-1100-1123−2300−3−333−23230033−3−3000000000000000000000000000000000000
χ704444-4-44-2-24-4-4-2-2-2-2-2-21222-1-112-2-222-2-21122-1-1-1100-11−23230033−3−323−2300−3−333000000000000000000000000000000000000
χ7144-4-4444-24-4-4-4-2422-4-4-24-24-2-2-2-2-242-42-4222-422-2-200220000000000000000000000000000000000000000000000000000
χ7244-4-4444-2-2-4-4-4-2-222221-2-2-2111-2-2-22222-1-122-1-11100-1-10023−23−33−330023−23−33−33000000000000000000000000000000000000
χ7344-4-4444-2-2-4-4-4-2-222221-2-2-2111-2-2-22222-1-122-1-11100-1-100−23233−33−300−23233−33−3000000000000000000000000000000000000
χ7444-4-44-4-44-244-44-2-4-422-224-2-2-2-2-4-424-24-222-42222200-2-20000000000000000000000000000000000000000000000000000
χ7544-4-44-4-4-2444-4-2422-4-4-2-4-24-2-2-222-4-24-24222-4222200-2-20000000000000000000000000000000000000000000000000000
χ7644-4-44-4-4-2-244-4-2-2222212-2-2111222-2-2-2-2-1-122-1-1-1-1001100003i−3i−3i3i00003i−3i−3i3i000000000000000000000000000000000000
χ7744-4-44-4-4-2-244-4-2-2222212-2-2111222-2-2-2-2-1-122-1-1-1-100110000−3i3i3i−3i0000−3i3i3i−3i000000000000000000000000000000000000
χ7844-4-4-44-4-244-44-2422-4-4-242-422-2-22-42-4-2422-24-2-2-22002-20000000000000000000000000000000000000000000000000000
χ7944-4-4-44-4-2-24-44-2-222221-222-1-11-22222-2-2-1-1-2-2111-100-1100−2i32i3i3−i3i3−i3002i3−2i3−i3i3−i3i3000000000000000000000000000000000000
χ8044-4-4-44-4-2-24-44-2-222221-222-1-11-22222-2-2-1-1-2-2111-100-11002i3−2i3−i3i3−i3i300−2i32i3i3−i3i3−i3000000000000000000000000000000000000
χ8144-4-4-4-444-2-4444-2-4-422-22-4222-2-44-24-2-42224-2-2-22-200-220000000000000000000000000000000000000000000000000000
χ8244-4-4-4-44-24-444-2422-4-4-2-42-422-22-24-242-422-24-2-22-200-220000000000000000000000000000000000000000000000000000
χ8344-4-4-4-44-2-2-444-2-222221222-1-112-2-2-2-222-1-1-2-211-11001-100003-3-330000-333-3000000000000000000000000000000000000
χ8444-4-4-4-44-2-2-444-2-222221222-1-112-2-2-2-222-1-1-2-211-11001-10000-333-300003-3-33000000000000000000000000000000000000
χ854-44i−4i00044000-4-44i−4i4i−4i400000-400000004i−4i000000000000000000000000000000000022−22−2i22i2000000000000000000000000
χ864-44i−4i00044000-4-44i−4i4i−4i400000-400000004i−4i0000000000000000000000000000000000−22222i2−2i2000000000000000000000000
χ874-4−4i4i00044000-4-4−4i4i−4i4i400000-40000000−4i4i000000000000000000000000000000000022−222i2−2i2000000000000000000000000
χ884-4−4i4i00044000-4-4−4i4i−4i4i400000-40000000−4i4i0000000000000000000000000000000000−2222−2i22i2000000000000000000000000
χ898-88i−8i0008-4000-848i−8i−4i4i-40000040000000−4i4i00000000000000000000000000000000000000000000000000000000000000
χ908-88i−8i000-480004-8−4i4i8i−8i-40000040000000−4i4i00000000000000000000000000000000000000000000000000000000000000
χ918-88i−8i000-4-400044−4i4i−4i4i20006-6-200000002i−2i006i−6i0000000000000000000000000000000000000000000000000000000000
χ928-88i−8i000-4-400044−4i4i−4i4i2000-66-200000002i−2i00−6i6i0000000000000000000000000000000000000000000000000000000000
χ938-8−8i8i0008-4000-84−8i8i4i−4i-400000400000004i−4i00000000000000000000000000000000000000000000000000000000000000
χ948-8−8i8i000-480004-84i−4i−8i8i-400000400000004i−4i00000000000000000000000000000000000000000000000000000000000000
χ958-8−8i8i000-4-4000444i−4i4i−4i20006-6-20000000−2i2i00−6i6i0000000000000000000000000000000000000000000000000000000000
χ968-8−8i8i000-4-4000444i−4i4i−4i2000-66-20000000−2i2i006i−6i0000000000000000000000000000000000000000000000000000000000

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