Finite Group Databasebeta

← Group #11884266

Character table — Group #11884266

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222444444444444444444444444488888888888888888881212121212121212121212121212121212122424242424242424242424242424243636727272
order122233444466666612121212223444666666612121212121212121212121266666612121212121212121212121212226666888824242424242424242446688121212122424242422444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111111111111-11-1-1-111-1-111111-1-111111111-1111-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111111111-1-11-1-1-1-1-1-111-1-1-1-111-11-1
χ6111111111111111111111-11-1-1-111-1-111111-1-111111111-1111-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111111-1-11-11
χ7111111111111111111111-11-1-1-111-1-111111-1-111111111-1111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-111-1-111-1-1-1-1-1-1-1-11-11
χ8111111111111111111111-11-1-1-111-1-111111-1-111111111-1111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1111111-11-1
χ9111111-1-1111111111111-111-1-11-1-111111-1-1-1-111-1-111111-1-1-111-1-1-111-1-1-1-1-1-11111111111-1-11111-1-1-1-11-1-1111-1-1-1-1-111-1-1-1-111-1
χ10111111-1-1111111111111-111-1-11-1-111111-1-1-1-111-1-111111-1-1-111-1-1-111-1-1-1-1-1-111111111-1-111-1-1-1-111111-1-111-11-1-1-1-1-1-11111-1-11
χ11111111-1-1111111111111-111-1-11-1-111111-1-1-1-111-1-111111-1-1-111-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-111-1-11-1111111-1-111-1-11
χ12111111-1-1111111111111-111-1-11-1-111111-1-1-1-111-1-111111-1-1-111-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-1-111111-1-111-1-111-1
χ13111111-1-1111111111111-1-1111-1-1-1-1-1111-1-11111-1-11111-1-1-1-1-1-1111-1-11111-1-1-1-111111111-1-11111-1-1-1-1-11-1-1-1-1111-1-1-1-111-1-1-111
χ14111111-1-1111111111111-1-1111-1-1-1-1-1111-1-11111-1-11111-1-1-1-1-1-1111-1-11111-1-1-1-1111111-1-111-1-1-1-11111-11-1-1-11-111-1-111-1-1111-1-1
χ15111111-1-1111111111111-1-1111-1-1-1-1-1111-1-11111-1-11111-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-1111-11-1-111-1-111111-1-1
χ16111111-1-1111111111111-1-1111-1-1-1-1-1111-1-11111-1-11111-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-11111-1-1-11111-1-1-1-1-111
χ1722222222-2-2222222-2-2-2-2-2222-2-2-2-2222222222-2-222-2-2-2-22-2-2-2222-2-2-2-222-2-222-2-200000000000000000000000000000000000000
χ1822222222-2-2222222-2-2-2-2-2-22-222-2-2-2-222222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-22222-2-222222200000000000000000000000000000000000000
χ19222222-2-2-2-2222222-2-2-2-2222-22-22222222-2-2-2-2-2-2-2-2-2-2-2-2222222-222-2-2-2-222-2-2-2-200000000000000000000000000000000000000
χ20222222-2-2-2-2222222-2-2-2-22-222-2222-2-2222-2-222-2-2-2-2-2-2-2-2-2222-2-22-2-22222-2-2-2-22200000000000000000000000000000000000000
χ2122222-1222222-12-1-1222222-122222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12-1-1-1-1-122-12-1-1-1-1-1-1-1-1-122-1-1-1-1000000000000222-1-100-1-1-1-1000000000
χ2222222-1222222-12-1-1222222-122222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12-1-1-1-1-122-12-1-1-1-1-1-1-1-1-1-2-21111000000000000-2-2-211001111000000000
χ2322222-1222222-12-1-122222-2-1-2-2-22211-1-1-12211-1-1-1-1-1-1-1-1-2-1-1-111-2-21-211111-1-11122-1-1-1-1000000000000-2-22110011-1-1000000000
χ2422222-1222222-12-1-122222-2-1-2-2-22211-1-1-12211-1-1-1-1-1-1-1-1-2-1-1-111-2-21-211111-1-111-2-2111100000000000022-2-1-100-1-111000000000
χ2522222-122-2-222-12-1-1-2-2-2-2-22-12-2-2-2-2-1-1-1-1-122-1-111-1-111112111-1-12-21-21-1-111-1-11100−i3−i3i3i3000000000000000−i3i300−i3i3−i3i3000000000
χ2622222-122-2-222-12-1-1-2-2-2-2-22-12-2-2-2-2-1-1-1-1-122-1-111-1-111112111-1-12-21-21-1-111-1-11100i3i3−i3−i3000000000000000i3−i300i3−i3i3−i3000000000
χ2722222-122-2-222-12-1-1-2-2-2-2-2-2-1-222-2-211-1-1-1221111-1-11111-211111-22-12-111-1-1-1-1-1-100−i3−i3i3i3000000000000000i3−i300i3−i3−i3i3000000000
χ2822222-122-2-222-12-1-1-2-2-2-2-2-2-1-222-2-211-1-1-1221111-1-11111-211111-22-12-111-1-1-1-1-1-100i3i3−i3−i3000000000000000−i3i300−i3i3i3−i3000000000
χ2922222-1-2-22222-12-1-12222-22-1-2-22-2-2-1-1-1-1-1-2-211-1-111-1-1-1-12111-1-1-2-212-1111111-1-122-1-1-1-10000000000002-2-2-1-1001111000000000
χ3022222-1-2-22222-12-1-12222-22-1-2-22-2-2-1-1-1-1-1-2-211-1-111-1-1-1-12111-1-1-2-212-1111111-1-1-2-21111000000000000-2221100-1-1-1-1000000000
χ3122222-1-2-22222-12-1-12222-2-2-122-2-2-211-1-1-1-2-2-1-1-1-111-1-1-1-1-21111122-1-21-1-1-1-1111122-1-1-1-1000000000000-22-21100-1-111000000000
χ3222222-1-2-22222-12-1-12222-2-2-122-2-2-211-1-1-1-2-2-1-1-1-111-1-1-1-1-21111122-1-21-1-1-1-11111-2-211110000000000002-22-1-10011-1-1000000000
χ3322222-1-2-2-2-222-12-1-1-2-2-2-222-1-22-222-1-1-1-1-1-2-211111111112-1-1-1-1-1-22-1-2111-1-1111100−i3−i3i3i3000000000000000−i3i300i3−i3i3−i3000000000
χ3422222-1-2-2-2-222-12-1-1-2-2-2-222-1-22-222-1-1-1-1-1-2-211111111112-1-1-1-1-1-22-1-2111-1-1111100i3i3−i3−i3000000000000000i3−i300−i3i3−i3i3000000000
χ3522222-1-2-2-2-222-12-1-1-2-2-2-22-2-12-222211-1-1-1-2-2-1-111111111-2-1-1-1112-212-1-1-11111-1-100−i3−i3i3i3000000000000000i3−i300−i3i3i3−i3000000000
χ3622222-1-2-2-2-222-12-1-1-2-2-2-22-2-12-222211-1-1-1-2-2-1-111111111-2-1-1-1112-212-1-1-11111-1-100i3i3−i3−i3000000000000000−i3i300i3−i3−i3i3000000000
χ372222-122222-1-12-122-1-1-1-122-1222-1-122-1-1-1-1-1222222-1-1-1-1-12-1-1-1-1-1-12-12-1-1-1-1-1-1-1-10000002222-1-1-1-1-1-1-1-100000220000-1-1-1-100000
χ382222-122222-1-12-122-1-1-1-122-1222-1-122-1-1-1-1-1222222-1-1-1-1-12-1-1-1-1-1-12-12-1-1-1-1-1-1-1-1000000-2-2-2-21111111100000-2-20000111100000
χ392222-122222-1-12-122-1-1-1-12-2-1-2-2-2-1-1-2-2-1-1-1-1-1-2-22222-1-1-1-112-1-11111-21-21111-1-1110000002222-1-1-1-1-1-1-1-100000-2-20000111100000
χ402222-122222-1-12-122-1-1-1-12-2-1-2-2-2-1-1-2-2-1-1-1-1-1-2-22222-1-1-1-112-1-11111-21-21111-1-111000000-2-2-2-21111111100000220000-1-1-1-100000
χ412222-1222-2-2-1-12-1221111-22-12-2-21122-1-1-1-1-122-2-2221111-1-211-1-1-11-21-2-1-111-1-111000000000033−3−333−3−3000000000003−33−300000
χ422222-1222-2-2-1-12-1221111-22-12-2-21122-1-1-1-1-122-2-2221111-1-211-1-1-11-21-2-1-111-1-1110000000000−3−333−3−33300000000000−33−3300000
χ432222-1222-2-2-1-12-1221111-2-2-1-22211-2-2-1-1-1-1-1-2-2-2-22211111-211111-12-1211-1-1-1-1-1-1000000000033−3−333−3−300000000000−33−3300000
χ442222-1222-2-2-1-12-1221111-2-2-1-22211-2-2-1-1-1-1-1-2-2-2-22211111-211111-12-1211-1-1-1-1-1-10000000000−3−333−3−333000000000003−33−300000
χ452222-12-2-222-1-12-122-1-1-1-1-22-1-2-221122-1-1-111-2-222-2-2-1-1-1-1-1-211-1-111-2-12111111-1-100000022-2-2-1-1-1-11111000002-20000-1-11100000
χ462222-12-2-222-1-12-122-1-1-1-1-22-1-2-221122-1-1-111-2-222-2-2-1-1-1-1-1-211-1-111-2-12111111-1-1000000-2-2221111-1-1-1-100000-22000011-1-100000
χ472222-12-2-222-1-12-122-1-1-1-1-2-2-122-211-2-2-1-1-1112222-2-2-1-1-1-11-21111-1-121-2-1-1-1-1111100000022-2-2-1-1-1-1111100000-22000011-1-100000
χ482222-12-2-222-1-12-122-1-1-1-1-2-2-122-211-2-2-1-1-1112222-2-2-1-1-1-11-21111-1-121-2-1-1-1-11111000000-2-2221111-1-1-1-1000002-20000-1-11100000
χ492222-12-2-2-2-2-1-12-122111122-1-22-2-1-122-1-1-111-2-2-2-2-2-21111-12-1-1-1-11-121-211-1-11111000000000033−3−3−3−333000000000003−3−3300000
χ502222-12-2-2-2-2-1-12-122111122-1-22-2-1-122-1-1-111-2-2-2-2-2-21111-12-1-1-1-11-121-211-1-111110000000000−3−33333−3−300000000000−333−300000
χ512222-12-2-2-2-2-1-12-12211112-2-12-22-1-1-2-2-1-1-11122-2-2-2-2111112-1-111-11-2-12-1-11111-1-1000000000033−3−3−3−33300000000000−333−300000
χ522222-12-2-2-2-2-1-12-12211112-2-12-22-1-1-2-2-1-1-11122-2-2-2-2111112-1-111-11-2-12-1-11111-1-10000000000−3−33333−3−3000000000003−3−3300000
χ532-2-222200-22-2-2-22-22-2-2220020000000-2-2200002-20022-2-200000000000000000002-22-22-2002-200002-22-20000000000000002-2000
χ542-2-222200-22-2-2-22-22-2-2220020000000-2-2200002-20022-2-200000000000000000002-22-22-200-220000-22-22000000000000000-22000
χ552-2-222200-22-2-2-22-22-2-2220020000000-2-2200002-20022-2-20000000000000000000-22-22-22002-200002-22-2000000000000000-22000
χ562-2-222200-22-2-2-22-22-2-2220020000000-2-2200002-20022-2-20000000000000000000-22-22-2200-220000-22-220000000000000002-2000
χ574444-2-24444-2-2-2-2-2-2-2-2-2-2441444-2-2-2-2111-2-2-2-2-2-2-2-21111-2-21111-2-2-2-2-21111111100000000000000000000000000000000000000
χ584444-2-24444-2-2-2-2-2-2-2-2-2-24-41-4-4-4-2-222111-2-222-2-2-2-211112-211-1-122222-1-1-1-111-1-100000000000000000000000000000000000000
χ594444-2-244-4-4-2-2-2-2-2-22222-4414-4-422-2-2111-2-2-2-222-2-2-1-1-1-1-22-1-111-2222211-1-111-1-100000000000000000000000000000000000000
χ604444-2-244-4-4-2-2-2-2-2-22222-4-41-4442222111-2-22222-2-2-1-1-1-122-1-1-1-12-2-2-2-2-1-111111100000000000000000000000000000000000000
χ614444-2-2-4-444-2-2-2-2-2-2-2-2-2-2-441-4-4422-2-21112222-2-2221111-22-1-111222-2-2-1-1-1-1-1-11100000000000000000000000000000000000000
χ624444-2-2-4-444-2-2-2-2-2-2-2-2-2-2-4-4144-4222211122-2-2-2-222111122-1-1-1-1-2-2-2221111-1-1-1-100000000000000000000000000000000000000
χ634444-2-2-4-4-4-4-2-2-2-2-2-22222441-44-4-2-2-2-211122222222-1-1-1-1-2-211112-2-222-1-111-1-1-1-100000000000000000000000000000000000000
χ644444-2-2-4-4-4-4-2-2-2-2-2-222224-414-44-2-22211122-2-22222-1-1-1-12-211-1-1-222-2-211-1-1-1-11100000000000000000000000000000000000000
χ6544-4-44400004-4-4-44-4000000400000004-4-40000000000000000000000000000000000000−2i22i200−2i22i2−2i22i2000000000000000000000000
χ6644-4-44400004-4-4-44-4000000400000004-4-400000000000000000000000000000000000002i2−2i2002i2−2i22i2−2i2000000000000000000000000
χ6744-4-4-240000-22-424-423−2323−2300-20000000-2220000000023−2323−230000000000000000000000000−2i22i2002ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23000000000000000000000000
χ6844-4-4-240000-22-424-423−2323−2300-20000000-2220000000023−2323−2300000000000000000000000002i2−2i200−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23000000000000000000000000
χ6944-4-4-240000-22-424-4−2323−232300-20000000-22200000000−2323−23230000000000000000000000000−2i22i2002ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7000000000000000000000000
χ7044-4-4-240000-22-424-4−2323−232300-20000000-22200000000−2323−232300000000000000000000000002i2−2i200−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7000000000000000000000000
χ714-44-4444i−4i00-444-4-4-400000040000000-44-44i−4i00004i−4i00000000000000000004i−4i0000000000000000000000000000000000000000
χ724-44-444−4i4i00-444-4-4-400000040000000-44-4−4i4i0000−4i4i0000000000000000000−4i4i0000000000000000000000000000000000000000
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χ804-44-4-24−4i4i002-242-4-4−232323−2300-2000−2i32i3002-222i−2i0000−4i4i23−23−232300−2i32i3000000000002i−2i0000000000000000000000000000000000000000
χ814-44-4-2-24i−4i002-2-222223−23−2323001000−2i32i3−2i32i3-11-1−2i2i23−2300−2i2i3−3−3300i3−i3i3−i300000−333-3i−i3i−3i00000000000000000000000000000000000000
χ824-44-4-2-24i−4i002-2-222223−23−2323001000−2i32i32i3−2i3-11-1−2i2i−232300−2i2i3−3−3300i3−i3−i3i3000003−3-33i−i−3i3i00000000000000000000000000000000000000
χ834-44-4-2-24i−4i002-2-2222−232323−230010002i3−2i3−2i32i3-11-1−2i2i23−2300−2i2i−333−300−i3i3i3−i300000−33-33i−i−3i3i00000000000000000000000000000000000000
χ844-44-4-2-24i−4i002-2-2222−232323−230010002i3−2i32i3−2i3-11-1−2i2i−232300−2i2i−333−300−i3i3−i3i3000003−33-3i−i3i−3i00000000000000000000000000000000000000
χ854-44-4-2-2−4i4i002-2-222223−23−23230010002i3−2i3−2i32i3-11-12i−2i−2323002i−2i3−3−3300−i3i3i3−i3000003−3-33−ii3i−3i00000000000000000000000000000000000000
χ864-44-4-2-2−4i4i002-2-222223−23−23230010002i3−2i32i3−2i3-11-12i−2i23−23002i−2i3−3−3300−i3i3−i3i300000−333-3−ii−3i3i00000000000000000000000000000000000000
χ874-44-4-2-2−4i4i002-2-2222−232323−23001000−2i32i3−2i32i3-11-12i−2i−2323002i−2i−333−300i3−i3i3−i3000003−33-3−ii−3i3i00000000000000000000000000000000000000
χ884-44-4-2-2−4i4i002-2-2222−232323−23001000−2i32i32i3−2i3-11-12i−2i23−23002i−2i−333−300i3−i3−i3i300000−33-33−ii3i−3i00000000000000000000000000000000000000
χ894-4-4444004-4-4-4-44-4444-4-40040000000-4-440000-4400-4-444000000000000000000000000000000000000000000000000000000000
χ904-4-444-2004-4-4-4242-244-4-400-2000000022-200002-20022-2-2000000000000000000000−2i32i32i3−2i300000000000000000000000000000000
χ914-4-444-2004-4-4-4242-244-4-400-2000000022-200002-20022-2-20000000000000000000002i3−2i3−2i32i300000000000000000000000000000000
χ924-4-444-200-44-4-4242-2-4-44400-2000000022-20000-2200-2-22200000000000000000004-4-22-2200000000000000000000000000000000
χ934-4-444-200-44-4-4242-2-4-44400-2000000022-20000-2200-2-2220000000000000000000-442-22-200000000000000000000000000000000
χ944-4-44-24004-422-4-2-44-2-22200-2000000022-20000-440022-2-200000000000000000000000000000000023−23−232300000000000000000000
χ954-4-44-24004-422-4-2-44-2-22200-2000000022-20000-440022-2-2000000000000000000000000000000000−232323−2300000000000000000000
χ964-4-44-2400-4422-4-2-4422-2-200-2000000022-200004-400-2-2220000000000000000000000000004-40000-22-2200000000000000000000
χ974-4-44-2400-4422-4-2-4422-2-200-2000000022-200004-400-2-222000000000000000000000000000-4400002-22-200000000000000000000
χ9888-8-88-400008-84-8-44000000-40000000-444000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-40000-4444-4443−4343−4300200000002-2-200000000−2323−2323000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-40000-4444-44−4343−434300200000002-2-20000000023−2323−23000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-4008-8444-44-4-4-4440020000000-2-2200004-400-2-222000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-400-88444-44-444-4-40020000000-2-220000-440022-2-2000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.