Finite Group Databasebeta

← Group #11785518

Character table — Group #11785518

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121218181818242424242424242424242424242424242424242436367272
order1244222334446612121212366666666612121212121212121212668812122424242424242424242424242424242422448888888866888812122424242424242424242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1111111-1-1
χ911111-1-111-1-1111111111-1-11-1-1-1-11111-1-1-1-11-1-11-1i−i1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-111-1-111111-1i−ii−i1-1ii−i−i11-1-1ii−i−i-1-1i−i
χ1011111-1-111-1-1111111111-1-11-1-1-1-11111-1-1-1-11-1-11-1i−i1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-1-1-111-1-1-1-11-1i−i−ii1-1ii−i−i-1-111−i−iii11−ii
χ1111111-1-111-1-1111111111-1-11-1-1-1-11111-1-1-1-11-1-11-1i−i1-1iiiiiiii−i−i−i−i−i−i−i−i-11-1111-1-1-1-1-1-1-11−iii−i-11−i−iii11-1-1ii−i−i11−ii
χ1211111-1-111-1-1111111111-1-11-1-1-1-11111-1-1-1-11-1-11-1i−i1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11-1-1111111-11−ii−ii-11−i−iii-1-111−i−iii-1-1i−i
χ1311111-1-111-1-1111111111-1-11-1-1-1-11111-1-1-1-11-1-11-1−ii1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-111-1-111111-1−ii−ii1-1−i−iii11-1-1−i−iii-1-1−ii
χ1411111-1-111-1-1111111111-1-11-1-1-1-11111-1-1-1-11-1-11-1−ii1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-1-1-111-1-1-1-11-1−iii−i1-1−i−iii-1-111ii−i−i11i−i
χ1511111-1-111-1-1111111111-1-11-1-1-1-11111-1-1-1-11-1-11-1−ii1-1−i−i−i−i−i−i−i−iiiiiiiii-11-1111-1-1-1-1-1-1-11i−i−ii-11ii−i−i11-1-1−i−iii11i−i
χ1611111-1-111-1-1111111111-1-11-1-1-1-11111-1-1-1-11-1-11-1−ii1-1−i−i−i−i−i−i−i−iiiiiiiii-11-11-1-1111111-11i−ii−i-11ii−i−i-1-111ii−i−i-1-1−ii
χ1722222222-12222-122-1-1-1222-1-1-1-1-1-1-1-1-12-1-1-122-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1222200000000-1-12200-1-1-1-1-1-1000000000000
χ1822222222-12222-122-1-1-1222-1-1-1-1-1-1-1-1-12-1-1-122-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-20000000011-2-200111111000000000000
χ1922222222-12222-122-1-1-1222-1-1-1-1-1-1-1-1-12-1-1-122-1-1-1-2-2-1-1-2-2111111-2-2111111222200000000-1-1-2-200-1-11111000000000000
χ2022222222-12222-122-1-1-1222-1-1-1-1-1-1-1-1-12-1-1-122-1-1-1-2-2-1-1-2-2111111-2-2111111-2-2-2-20000000011220011-1-1-1-1000000000000
χ212222222-12222-12-1-122-1-1-1-1222-1-1-12-1-1-12-1-1-1-12-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1000022220000000022000000-1-1-1-1-1-1-1-10000
χ222222222-12222-12-1-122-1-1-1-1222-1-1-12-1-1-12-1-1-1-12-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-2-2-2-200000000-2-2000000111111110000
χ232222222-12222-12-1-122-1-1-1-1222-1-1-12-1-1-12-1-1-1-12-1-1-2-2-1-111-2-2111111-2-211110000222200000000-2-2000000-1-1-1-111110000
χ242222222-12222-12-1-122-1-1-1-1222-1-1-12-1-1-12-1-1-1-12-1-1-2-2-1-111-2-2111111-2-211110000-2-2-2-200000000220000001111-1-1-1-10000
χ2522222-2-22-1-2-222-122-1-1-12-2-2-11111-1-1-1-1-21112-21-112i−2i-112i2i−i−i−i−i−i−i−2i−2iiiiiii2-22-200000000-112i−2i00-11−i−iii000000000000
χ2622222-2-22-1-2-222-122-1-1-12-2-2-11111-1-1-1-1-21112-21-112i−2i-112i2i−i−i−i−i−i−i−2i−2iiiiiii-22-22000000001-1−2i2i001-1ii−i−i000000000000
χ2722222-2-22-1-2-222-122-1-1-12-2-2-11111-1-1-1-1-21112-21-11−2i2i-11−2i−2iiiiiii2i2i−i−i−i−i−i−i2-22-200000000-11−2i2i00-11ii−i−i000000000000
χ2822222-2-22-1-2-222-122-1-1-12-2-2-11111-1-1-1-1-21112-21-11−2i2i-11−2i−2iiiiiii2i2i−i−i−i−i−i−i-22-22000000001-12i−2i001-1−i−iii000000000000
χ2922222-2-2-12-2-22-12-1-122-1-1112-2-211-12-1-11-211-11-2-112i−2i-11−i−i2i2i−i−i−i−iii−2i−2iiiii000022-2-2000000002i−2i000000-1-111−i−iii0000
χ3022222-2-2-12-2-22-12-1-122-1-1112-2-211-12-1-11-211-11-2-112i−2i-11−i−i2i2i−i−i−i−iii−2i−2iiiii0000-2-22200000000−2i2i00000011-1-1ii−i−i0000
χ3122222-2-2-12-2-22-12-1-122-1-1112-2-211-12-1-11-211-11-2-11−2i2i-11ii−2i−2iiiii−i−i2i2i−i−i−i−i000022-2-200000000−2i2i000000-1-111ii−i−i0000
χ3222222-2-2-12-2-22-12-1-122-1-1112-2-211-12-1-11-211-11-2-11−2i2i-11ii−2i−2iiiii−i−i2i2i−i−i−i−i0000-2-222000000002i−2i00000011-1-1−i−iii0000
χ332222-22-2222-2-22222222-22-2-22-2-2-22-222-2-2-2-2-222-2200-22000000000000000000002i−2i2i−2i00000000000000002i−2i2i−2i00000000
χ342222-22-2222-2-22222222-22-2-22-2-2-22-222-2-2-2-2-222-2200-2200000000000000000000−2i2i−2i2i0000000000000000−2i2i−2i2i00000000
χ352222-22-2-122-2-2-12-1-122-11-11-22-211-1-2-1-11-2111-121-1001-13−30033−3−33−30033−3−300002i−2i2i−2i0000000000000000−ii−ii−i3i3−i3i30000
χ362222-22-2-122-2-2-12-1-122-11-11-22-211-1-2-1-11-2111-121-1001-13−30033−3−33−30033−3−30000−2i2i−2i2i0000000000000000i−ii−ii3−i3i3−i30000
χ372222-22-2-122-2-2-12-1-122-11-11-22-211-1-2-1-11-2111-121-1001-1−3300−3−333−3300−3−33300002i−2i2i−2i0000000000000000−ii−iii3−i3i3−i30000
χ382222-22-2-122-2-2-12-1-122-11-11-22-211-1-2-1-11-2111-121-1001-1−3300−3−333−3300−3−3330000−2i2i−2i2i0000000000000000i−ii−i−i3i3−i3i30000
χ392222-2-2222-22-22222222-2-22-2-22222-2222222-2-2-2-2-200-2-2000000000000000000002i−2i−2i2i00000000000000002i−2i−2i2i00000000
χ402222-2-2222-22-22222222-2-22-2-22222-2222222-2-2-2-2-200-2-200000000000000000000−2i2i2i−2i0000000000000000−2i2i2i−2i00000000
χ412222-2-22-12-22-2-12-1-122-111-1-2-22-1-1-1-2-1-1-12-1-111-2110011−i3i300−i3−i3i3i3i3−i300i3i3−i3−i300002i−2i−2i2i0000000000000000−iii−i−333−30000
χ422222-2-22-12-22-2-12-1-122-111-1-2-22-1-1-1-2-1-1-12-1-111-2110011−i3i300−i3−i3i3i3i3−i300i3i3−i3−i30000−2i2i2i−2i0000000000000000i−i−ii3−3−330000
χ432222-2-22-12-22-2-12-1-122-111-1-2-22-1-1-1-2-1-1-12-1-111-2110011i3−i300i3i3−i3−i3−i3i300−i3−i3i3i300002i−2i−2i2i0000000000000000−iii−i3−3−330000
χ442222-2-22-12-22-2-12-1-122-111-1-2-22-1-1-1-2-1-1-12-1-111-2110011i3−i300i3i3−i3−i3−i3i300−i3−i3i3i30000−2i2i2i−2i0000000000000000i−i−ii−333−30000
χ4522-2-222222-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-22200-2-200000000000000002-2-22000000002-20000-220000000000000000
χ4622-2-222222-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-22200-2-20000000000000000-222-200000000-2200002-20000000000000000
χ4722-2-22222-1-2-2-22-1-2-211-1222-1-1-1-1-1-1111-2111-2-21-1-10011003−33−33−3003−33−33−32-2-2200000000-1100001-13−33−3000000000000
χ4822-2-22222-1-2-2-22-1-2-211-1222-1-1-1-1-1-1111-2111-2-21-1-10011003−33−33−3003−33−33−3-222-2000000001-10000-11−33−33000000000000
χ4922-2-22222-1-2-2-22-1-2-211-1222-1-1-1-1-1-1111-2111-2-21-1-1001100−33−33−3300−33−33−332-2-2200000000-1100001-1−33−33000000000000
χ5022-2-22222-1-2-2-22-1-2-211-1222-1-1-1-1-1-1111-2111-2-21-1-1001100−33−33−3300−33−33−33-222-2000000001-10000-113−33−3000000000000
χ5122-2-22-2-22222-222-2-2-2-222-2-22-2-2-2-22-2-2-22222-2222-200-22000000000000000022-2-200000000220000-2-20000000000000000
χ5222-2-22-2-22222-222-2-2-2-222-2-22-2-2-2-22-2-2-22222-2222-200-220000000000000000-2-22200000000-2-20000220000000000000000
χ5322-2-22-2-22-122-22-1-2-211-12-2-2-11111-11112-1-1-1-22-1-11001-100−i3i3−i3i3−i3i300i3−i3i3−i3i3−i322-2-200000000-1-1000011−i3i3i3−i3000000000000
χ5422-2-22-2-22-122-22-1-2-211-12-2-2-11111-11112-1-1-1-22-1-11001-100−i3i3−i3i3−i3i300i3−i3i3−i3i3−i3-2-22200000000110000-1-1i3−i3−i3i3000000000000
χ5522-2-22-2-22-122-22-1-2-211-12-2-2-11111-11112-1-1-1-22-1-11001-100i3−i3i3−i3i3−i300−i3i3−i3i3−i3i322-2-200000000-1-1000011i3−i3−i3i3000000000000
χ5622-2-22-2-22-122-22-1-2-211-12-2-2-11111-11112-1-1-1-22-1-11001-100i3−i3i3−i3i3−i300−i3i3−i3i3−i3i3-2-22200000000110000-1-1−i3i3i3−i3000000000000
χ5722-2-2-22-222-22222-2-2-2-22-22-2-22-2-2-222-2-222222-2-2-22002-200000000000000000000000022-2-2000000000000000000002-200
χ5822-2-2-22-222-22222-2-2-2-22-22-2-22-2-2-222-2-222222-2-2-22002-2000000000000000000000000-2-22200000000000000000000-2200
χ5922-2-2-2-22222-2222-2-2-2-22-2-22-2-222222-2-2-2-2-2-2222-2-2002200000000000000000000000022-2-200000000000000000000-2200
χ6022-2-2-2-22222-2222-2-2-2-22-2-22-2-222222-2-2-2-2-2-2222-2-20022000000000000000000000000-2-222000000000000000000002-200
χ614444444-2-2444-2-2-2-2-2-21-2-2-2-2-2-2111-211-2-211-2-2-2114411-2-2-2-21111-2-2-2-21111000000000000000000000000000000000000
χ624444444-2-2444-2-2-2-2-2-21-2-2-2-2-2-2111-211-2-211-2-2-211-4-4112222-1-1-1-12222-1-1-1-1000000000000000000000000000000000000
χ6344444-4-4-2-2-4-44-2-2-2-2-2-21-222-222-1-11-21122-1-1-2221-14i−4i1-1−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i000000000000000000000000000000000000
χ6444444-4-4-2-2-4-44-2-2-2-2-2-21-222-222-1-11-21122-1-1-2221-1−4i4i1-12i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii000000000000000000000000000000000000
χ654444-44-44-24-4-44-244-2-2-2-44-42-2222-22-2-2-4222-44-22-2002-20000000000000000000000000000000000000000000000000000
χ664444-44-4-2-24-4-4-2-2-2-2-2-212-222-22-1-1121122-1-12-2-2-1100-1123−2300−3−33323−2300−3−333000000000000000000000000000000000000
χ674444-44-4-2-24-4-4-2-2-2-2-2-212-222-22-1-1121122-1-12-2-2-1100-11−23230033−3−3−23230033−3−3000000000000000000000000000000000000
χ684444-4-444-2-44-44-244-2-2-2-4-4422-2-2-2-22-2-24-2-2-2-4-422200220000000000000000000000000000000000000000000000000000
χ694444-4-44-2-2-44-4-2-2-2-2-2-2122-222-2111211-2-211222-1-100-1-1−2i32i300i3i3−i3−i32i3−2i300−i3−i3i3i3000000000000000000000000000000000000
χ704444-4-44-2-2-44-4-2-2-2-2-2-2122-222-2111211-2-211222-1-100-1-12i3−2i300−i3−i3i3i3−2i32i300i3i3−i3−i3000000000000000000000000000000000000
χ7144-4-4444-24-4-4-4-2422-4-4-2-2-2-2444-2-2-2-4222-42222-4-2-200220000000000000000000000000000000000000000000000000000
χ7244-4-4444-2-2-4-4-4-2-222221-2-2-2-2-2-21112-1-122-1-12221100-1-10023−23−33−330023−23−33−33000000000000000000000000000000000000
χ7344-4-4444-2-2-4-4-4-2-222221-2-2-2-2-2-21112-1-122-1-12221100-1-100−23233−33−300−23233−33−3000000000000000000000000000000000000
χ7444-4-44-4-4-2444-4-2422-4-4-2-2224-4-422-2-422-24-2-22-24-22002-20000000000000000000000000000000000000000000000000000
χ7544-4-44-4-4-2-244-4-2-222221-222-222-1-112-1-1-2-2112-2-21-100-1100−2i32i3i3−i3i3−i3002i3−2i3−i3i3−i3i3000000000000000000000000000000000000
χ7644-4-44-4-4-2-244-4-2-222221-222-222-1-112-1-1-2-2112-2-21-100-11002i3−2i3−i3i3−i3i300−2i32i3i3−i3i3−i3000000000000000000000000000000000000
χ7744-4-4-44-44-2-4444-2-4-422-2-44-42-2222-2-2224-2-2-24-422-200-220000000000000000000000000000000000000000000000000000
χ7844-4-4-44-4-24-444-2422-4-4-22-22-44-422-2422-24-2-2-22-42-200-220000000000000000000000000000000000000000000000000000
χ7944-4-4-44-4-2-2-444-2-2222212-222-22-1-11-2-1-1-2-211-222-11001-100003-3-3300003-3-33000000000000000000000000000000000000
χ8044-4-4-44-4-2-2-444-2-2222212-222-22-1-11-2-1-1-2-211-222-11001-10000-333-30000-333-3000000000000000000000000000000000000
χ8144-4-4-4-444-24-444-2-4-422-2-4-4422-2-2-2-2-222-422244-22200-2-20000000000000000000000000000000000000000000000000000
χ8244-4-4-4-44-244-44-2422-4-4-222-2-4-44-2-2-24222-422-2-242200-2-20000000000000000000000000000000000000000000000000000
χ8344-4-4-4-44-2-24-44-2-22222122-222-2111-2-1-122-1-1-2-2-2-1-1001100003i−3i−3i3i0000−3i3i3i−3i000000000000000000000000000000000000
χ8444-4-4-4-44-2-24-44-2-22222122-222-2111-2-1-122-1-1-2-2-2-1-100110000−3i3i3i−3i00003i−3i−3i3i000000000000000000000000000000000000
χ854-44i−4i00044000-4-44i−4i4i−4i400000000-404i−4i000000000000000000000000000000000000022−22−2i22i2000000000000000000000000
χ864-44i−4i00044000-4-44i−4i4i−4i400000000-404i−4i0000000000000000000000000000000000000−22222i2−2i2000000000000000000000000
χ874-4−4i4i00044000-4-4−4i4i−4i4i400000000-40−4i4i000000000000000000000000000000000000022−222i2−2i2000000000000000000000000
χ884-4−4i4i00044000-4-4−4i4i−4i4i400000000-40−4i4i0000000000000000000000000000000000000−2222−2i22i2000000000000000000000000
χ898-88i−8i0008-4000-848i−8i−4i4i-40000000040−4i4i00000000000000000000000000000000000000000000000000000000000000000
χ908-88i−8i000-480004-8−4i4i8i−8i-40000000040−4i4i00000000000000000000000000000000000000000000000000000000000000000
χ918-88i−8i000-4-400044−4i4i−4i4i20000006-6-202i−2i006i−6i0000000000000000000000000000000000000000000000000000000000000
χ928-88i−8i000-4-400044−4i4i−4i4i2000000-66-202i−2i00−6i6i0000000000000000000000000000000000000000000000000000000000000
χ938-8−8i8i0008-4000-84−8i8i4i−4i-400000000404i−4i00000000000000000000000000000000000000000000000000000000000000000
χ948-8−8i8i000-480004-84i−4i−8i8i-400000000404i−4i00000000000000000000000000000000000000000000000000000000000000000
χ958-8−8i8i000-4-4000444i−4i4i−4i20000006-6-20−2i2i00−6i6i0000000000000000000000000000000000000000000000000000000000000
χ968-8−8i8i000-4-4000444i−4i4i−4i2000000-66-20−2i2i006i−6i0000000000000000000000000000000000000000000000000000000000000

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