Finite Group Databasebeta

← Group #11786161

Character table — Group #11786161

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121218181818242424242424242424242424242424242424242436367272
order124422233444661212121236666666661212121212121212121244661212121212121212121212121212121212128888888844444488121212122424242424242424242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
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
χ511111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ611111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111
χ711111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111
χ811111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-1
χ91111-1-11111-1-1111111111-1-1-11-1-1-11-1-1-111-1-11-1i−i1-11-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-11111i−ii−iii−i−i11-1-1ii−i−i11-1-1-1-1i−i
χ101111-1-11111-1-1111111111-1-1-11-1-1-11-1-1-111-1-11-1i−i1-11-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-111-1-1-1-1−iii−i−i−iii11-1-1ii−i−i-1-11111−ii
χ111111-1-11111-1-1111111111-1-1-11-1-1-11-1-1-111-1-11-1i−i1-11-1iiiiiiii−i−i−i−i−i−i−i−i-1-11111-1-1-1-1-1-1i−i−iiii−i−i-1-111−i−iii11-1-111−ii
χ121111-1-11111-1-1111111111-1-1-11-1-1-11-1-1-111-1-11-1i−i1-11-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-1111111−ii−ii−i−iii-1-111−i−iii-1-111-1-1i−i
χ131111-1-11111-1-1111111111-1-1-11-1-1-11-1-1-111-1-11-1−ii1-11-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-11111−ii−ii−i−iii11-1-1−i−iii11-1-1-1-1−ii
χ141111-1-11111-1-1111111111-1-1-11-1-1-11-1-1-111-1-11-1−ii1-11-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-111-1-1-1-1i−i−iiii−i−i11-1-1−i−iii-1-11111i−i
χ151111-1-11111-1-1111111111-1-1-11-1-1-11-1-1-111-1-11-1−ii1-11-1−i−i−i−i−i−i−i−iiiiiiiii-1-11111-1-1-1-1-1-1−iii−i−i−iii-1-111ii−i−i11-1-111i−i
χ161111-1-11111-1-1111111111-1-1-11-1-1-11-1-1-111-1-11-1−ii1-11-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-1111111i−ii−iii−i−i-1-111ii−i−i-1-111-1-1−ii
χ1722222222-12222-122-1-1-12-1-12-1-1-1-12-122-1-1-1-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122220000000000220000-1-1-1-1-1-1-1-100000000
χ1822222222-12222-122-1-1-12-1-12-1-1-1-12-122-1-1-1-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-20000000000-2-200001111111100000000
χ1922222222-12222-122-1-1-12-1-12-1-1-1-12-122-1-1-1-1-12-1-2-2-1-1-1-1-2-2111111-2-211111122220000000000-2-20000-1-1-1-1111100000000
χ2022222222-12222-122-1-1-12-1-12-1-1-1-12-122-1-1-1-1-12-1-2-2-1-1-1-1-2-2111111-2-2111111-2-2-2-200000000002200001111-1-1-1-100000000
χ212222222-12222-12-1-122-1-122-12-1-1-1-12-1-12-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000222200002200-1-1-1-100000000-1-1-1-10000
χ222222222-12222-12-1-122-1-122-12-1-1-1-12-1-12-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-2-2-2-20000-2-20011110000000011110000
χ232222222-12222-12-1-122-1-122-12-1-1-1-12-1-12-1-1-1-1-12-2-2-1-1-1-111-2-2111111-2-21111000022220000-2-200111100000000-1-1-1-10000
χ242222222-12222-12-1-122-1-122-12-1-1-1-12-1-12-1-1-1-1-12-2-2-1-1-1-111-2-2111111-2-211110000-2-2-2-200002200-1-1-1-10000000011110000
χ2522222-2-222-2-222222222-2-2-222222-2-22-222222-2-200-2-2-2-2000000000000000000002i−2i2i−2i000000000000000000002i−2i2i−2i0000
χ2622222-2-222-2-222222222-2-2-222222-2-22-222222-2-200-2-2-2-200000000000000000000−2i2i−2i2i00000000000000000000−2i2i−2i2i0000
χ2722222-2-2-12-2-22-12-1-122-11-2-2-12-1-1-11-2-112-1-1-1-11-2001111−i3i300−i3−i3i3i3−i3i300−i3−i3i3i300002i−2i2i−2i000000003−33−300000000−ii−ii0000
χ2822222-2-2-12-2-22-12-1-122-11-2-2-12-1-1-11-2-112-1-1-1-11-2001111−i3i300−i3−i3i3i3−i3i300−i3−i3i3i30000−2i2i−2i2i00000000−33−3300000000i−ii−i0000
χ2922222-2-2-12-2-22-12-1-122-11-2-2-12-1-1-11-2-112-1-1-1-11-2001111i3−i300i3i3−i3−i3i3−i300i3i3−i3−i300002i−2i2i−2i00000000−33−3300000000−ii−ii0000
χ3022222-2-2-12-2-22-12-1-122-11-2-2-12-1-1-11-2-112-1-1-1-11-2001111i3−i300i3i3−i3−i3i3−i300i3i3−i3−i30000−2i2i−2i2i000000003−33−300000000i−ii−i0000
χ312222-22-222-22-22222222-2-22-2-22-2-22-2-22-222-2-2-2200-22-22000000000000000000002i−2i−2i2i000000000000000000002i−2i−2i2i0000
χ322222-22-222-22-22222222-2-22-2-22-2-22-2-22-222-2-2-2200-22-2200000000000000000000−2i2i2i−2i00000000000000000000−2i2i2i−2i0000
χ332222-22-2-12-22-2-12-1-122-11-221-2-111-1-21-1-2-1-11112001-11-13−30033−3−3−3300−3−33300002i−2i−2i2i00000000i3−i3−i3i300000000−iii−i0000
χ342222-22-2-12-22-2-12-1-122-11-221-2-111-1-21-1-2-1-11112001-11-13−30033−3−3−3300−3−3330000−2i2i2i−2i00000000−i3i3i3−i300000000i−i−ii0000
χ352222-22-2-12-22-2-12-1-122-11-221-2-111-1-21-1-2-1-11112001-11-1−3300−3−3333−30033−3−300002i−2i−2i2i00000000−i3i3i3−i300000000−iii−i0000
χ362222-22-2-12-22-2-12-1-122-11-221-2-111-1-21-1-2-1-11112001-11-1−3300−3−3333−30033−3−30000−2i2i2i−2i00000000i3−i3−i3i300000000i−i−ii0000
χ372222-2-222-12-2-22-122-1-1-12-11-21-111-2-1-2-21-1-111212i−2i-11-112i2i−i−i−i−i−i−i−2i−2iiiiiii22-2-200000000002i−2i0000-1-111−i−iii00000000
χ382222-2-222-12-2-22-122-1-1-12-11-21-111-2-1-2-21-1-111212i−2i-11-112i2i−i−i−i−i−i−i−2i−2iiiiiii-2-2220000000000−2i2i000011-1-1ii−i−i00000000
χ392222-2-222-12-2-22-122-1-1-12-11-21-111-2-1-2-21-1-11121−2i2i-11-11−2i−2iiiiiii2i2i−i−i−i−i−i−i22-2-20000000000−2i2i0000-1-111ii−i−i00000000
χ402222-2-222-12-2-22-122-1-1-12-11-21-111-2-1-2-21-1-11121−2i2i-11-11−2i−2iiiiiii2i2i−i−i−i−i−i−i-2-22200000000002i−2i000011-1-1−i−iii00000000
χ412222-2-22-122-2-2-12-1-122-1-12-21-2-1111211-2-1-111-1-22i−2i-11-11−i−i2i2i−i−i−i−iii−2i−2iiiii000022-2-200002i−2i00−i−iii00000000-1-1110000
χ422222-2-22-122-2-2-12-1-122-1-12-21-2-1111211-2-1-111-1-22i−2i-11-11−i−i2i2i−i−i−i−iii−2i−2iiiii0000-2-2220000−2i2i00ii−i−i0000000011-1-10000
χ432222-2-22-122-2-2-12-1-122-1-12-21-2-1111211-2-1-111-1-2−2i2i-11-11ii−2i−2iiiii−i−i2i2i−i−i−i−i000022-2-20000−2i2i00ii−i−i00000000-1-1110000
χ442222-2-22-122-2-2-12-1-122-1-12-21-2-1111211-2-1-111-1-2−2i2i-11-11ii−2i−2iiiii−i−i2i2i−i−i−i−i0000-2-22200002i−2i00−i−iii0000000011-1-10000
χ4522-2-222222-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-20022-2-200000000000000002i−2i2i−2i00000000000000002i−2i2i−2i000000000000
χ4622-2-222222-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-20022-2-20000000000000000−2i2i−2i2i0000000000000000−2i2i−2i2i000000000000
χ4722-2-22222-1-2-2-22-1-2-211-12-1-12-1-1-1-121-2-211111-2100-1-11100−i3i3−i3i3−i3i300−i3i3−i3i3−i3i32i−2i2i−2i0000000000000000−ii−ii3−33−300000000
χ4822-2-22222-1-2-2-22-1-2-211-12-1-12-1-1-1-121-2-211111-2100-1-11100−i3i3−i3i3−i3i300−i3i3−i3i3−i3i3−2i2i−2i2i0000000000000000i−ii−i−33−3300000000
χ4922-2-22222-1-2-2-22-1-2-211-12-1-12-1-1-1-121-2-211111-2100-1-11100i3−i3i3−i3i3−i300i3−i3i3−i3i3−i32i−2i2i−2i0000000000000000−ii−ii−33−3300000000
χ5022-2-22222-1-2-2-22-1-2-211-12-1-12-1-1-1-121-2-211111-2100-1-11100i3−i3i3−i3i3−i300i3−i3i3−i3i3−i3−2i2i−2i2i0000000000000000i−ii−i3−33−300000000
χ5122-2-22-2-22222-222-2-2-2-22-2-2-222222-22-22-2-2-2-2-22200-2-2220000000000000000000000002i2i−2i−2i000000000000000000002i−2i00
χ5222-2-22-2-22222-222-2-2-2-22-2-2-222222-22-22-2-2-2-2-22200-2-222000000000000000000000000−2i−2i2i2i00000000000000000000−2i2i00
χ5322-2-2-22-2222-2222-2-2-2-22-2-22-2-22-2-2222-22-2-2222-200-222-20000000000000000000000002i2i−2i−2i00000000000000000000−2i2i00
χ5422-2-2-22-2222-2222-2-2-2-22-2-22-2-22-2-2222-22-2-2222-200-222-2000000000000000000000000−2i−2i2i2i000000000000000000002i−2i00
χ5522-2-2-2-2222-22222-2-2-2-2222-2-2-22-2-2-2-2222-2-222-22002-2-2200000000000000002i−2i−2i2i00000000000000002i−2i−2i2i000000000000
χ5622-2-2-2-2222-22222-2-2-2-2222-2-2-22-2-2-2-2222-2-222-22002-2-220000000000000000−2i2i2i−2i0000000000000000−2i2i2i−2i000000000000
χ5722-2-2-2-222-1-2222-1-2-211-12-11-21-111-2122-111-1-1-2-100-111-1003−33−33−300−33−33−332i−2i−2i2i0000000000000000−iii−ii3−i3−i3i300000000
χ5822-2-2-2-222-1-2222-1-2-211-12-11-21-111-2122-111-1-1-2-100-111-1003−33−33−300−33−33−33−2i2i2i−2i0000000000000000i−i−ii−i3i3i3−i300000000
χ5922-2-2-2-222-1-2222-1-2-211-12-11-21-111-2122-111-1-1-2-100-111-100−33−33−33003−33−33−32i−2i−2i2i0000000000000000−iii−i−i3i3i3−i300000000
χ6022-2-2-2-222-1-2222-1-2-211-12-11-21-111-2122-111-1-1-2-100-111-100−33−33−33003−33−33−3−2i2i2i−2i0000000000000000i−i−iii3−i3−i3i300000000
χ614444444-2-2444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-21111-2-2441111-2-2-2-21111-2-2-2-21111000000000000000000000000000000000000
χ624444444-2-2444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-21111-2-2-4-411112222-1-1-1-12222-1-1-1-1000000000000000000000000000000000000
χ6344444-4-44-2-4-444-244-2-2-2-4224-2-2-2-2-424-4-2-2-2-2-2-420022220000000000000000000000000000000000000000000000000000
χ6444444-4-4-2-2-4-44-2-2-2-2-2-21222-2-211122-22-211112200-1-1-1-1−2i32i300i3i3−i3−i3−2i32i300i3i3−i3−i3000000000000000000000000000000000000
χ6544444-4-4-2-2-4-44-2-2-2-2-2-21222-2-211122-22-211112200-1-1-1-12i3−2i300−i3−i3i3i32i3−2i300−i3−i3i3i3000000000000000000000000000000000000
χ664444-44-44-2-44-44-244-2-2-2-42-2-42-22242-442-2-222-4-2002-22-20000000000000000000000000000000000000000000000000000
χ674444-44-4-2-2-44-4-2-2-2-2-2-2122-2221-1-1-222-2211-1-12-200-11-1123−2300−3−333−23230033−3−3000000000000000000000000000000000000
χ684444-44-4-2-2-44-4-2-2-2-2-2-2122-2221-1-1-222-2211-1-12-200-11-11−23230033−3−323−2300−3−333000000000000000000000000000000000000
χ694444-4-44-2-24-4-4-2-2-2-2-2-21-2-22221-1-12-222211-1-1-224i−4i1-11-1−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i000000000000000000000000000000000000
χ704444-4-44-2-24-4-4-2-2-2-2-2-21-2-22221-1-12-222211-1-1-22−4i4i1-11-12i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii000000000000000000000000000000000000
χ7144-4-4444-24-4-4-4-2422-4-4-2-244-24-2-2-2-2-422-422222-400-2-2220000000000000000000000000000000000000000000000000000
χ7244-4-4444-2-2-4-4-4-2-222221-2-2-2-2-2111-22222-1-1-1-1220011-1-100−2i32i3i3−i3i3−i300−2i32i3i3−i3i3−i3000000000000000000000000000000000000
χ7344-4-4444-2-2-4-4-4-2-222221-2-2-2-2-2111-22222-1-1-1-1220011-1-1002i3−2i3−i3i3−i3i3002i3−2i3−i3i3−i3i3000000000000000000000000000000000000
χ7444-4-44-4-44-244-44-2-4-422-2-4224-2-2-2-2-4-2-44222224-20022-2-20000000000000000000000000000000000000000000000000000
χ7544-4-44-4-4-2444-4-2422-4-4-22-4-4-24-2-2-2242-2-42222-240022-2-20000000000000000000000000000000000000000000000000000
χ7644-4-44-4-4-2-244-4-2-222221222-2-21112-22-22-1-1-1-1-2-200-1-11100003-3-3300003-3-33000000000000000000000000000000000000
χ7744-4-44-4-4-2-244-4-2-222221222-2-21112-22-22-1-1-1-1-2-200-1-1110000-333-30000-333-3000000000000000000000000000000000000
χ7844-4-4-44-44-24-444-2-4-422-2-42-2-42-2224-24-4-222-2-242002-2-220000000000000000000000000000000000000000000000000000
χ7944-4-4-44-4-244-44-2422-4-4-22-442-4-222-24-22422-2-2-2-4002-2-220000000000000000000000000000000000000000000000000000
χ8044-4-4-44-4-2-24-44-2-22222122-2221-1-1-2-2-22-2-1-111-2200-111-100003i−3i−3i3i0000−3i3i3i−3i000000000000000000000000000000000000
χ8144-4-4-44-4-2-24-44-2-22222122-2221-1-1-2-2-22-2-1-111-2200-111-10000−3i3i3i−3i00003i−3i−3i3i000000000000000000000000000000000000
χ8244-4-4-4-44-24-444-2422-4-4-2-24-42-4-2222-4-2-2422-2-22400-222-20000000000000000000000000000000000000000000000000000
χ8344-4-4-4-44-2-2-444-2-222221-2-22221-1-122-2-2-2-1-1112-2001-1-110023−23−33−3300−23233−33−3000000000000000000000000000000000000
χ8444-4-4-4-44-2-2-444-2-222221-2-22221-1-122-2-2-2-1-1112-2001-1-1100−23233−33−30023−23−33−33000000000000000000000000000000000000
χ854-44i−4i00044000-4-44i−4i4i−4i400000-400000004i−4i00000000000000000000000000000000002+2i−2−2i2−2i−2+2i000000000000000000000000
χ864-44i−4i00044000-4-44i−4i4i−4i400000-400000004i−4i0000000000000000000000000000000000−2−2i2+2i−2+2i2−2i000000000000000000000000
χ874-4−4i4i00044000-4-4−4i4i−4i4i400000-40000000−4i4i00000000000000000000000000000000002−2i−2+2i2+2i−2−2i000000000000000000000000
χ884-4−4i4i00044000-4-4−4i4i−4i4i400000-40000000−4i4i0000000000000000000000000000000000−2+2i2−2i−2−2i2+2i000000000000000000000000
χ898-88i−8i0008-4000-848i−8i−4i4i-40000040000000−4i4i00000000000000000000000000000000000000000000000000000000000000
χ908-88i−8i000-480004-8−4i4i8i−8i-40000040000000−4i4i00000000000000000000000000000000000000000000000000000000000000
χ918-88i−8i000-4-400044−4i4i−4i4i200000-26-6000002i−2i6i−6i000000000000000000000000000000000000000000000000000000000000
χ928-88i−8i000-4-400044−4i4i−4i4i200000-2-66000002i−2i−6i6i000000000000000000000000000000000000000000000000000000000000
χ938-8−8i8i0008-4000-84−8i8i4i−4i-400000400000004i−4i00000000000000000000000000000000000000000000000000000000000000
χ948-8−8i8i000-480004-84i−4i−8i8i-400000400000004i−4i00000000000000000000000000000000000000000000000000000000000000
χ958-8−8i8i000-4-4000444i−4i4i−4i200000-26-600000−2i2i−6i6i000000000000000000000000000000000000000000000000000000000000
χ968-8−8i8i000-4-4000444i−4i4i−4i200000-2-6600000−2i2i6i−6i000000000000000000000000000000000000000000000000000000000000

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