Finite Group Databasebeta

← Group #11884267

Character table — Group #11884267

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222444444444444444444444444488888888888888888881212121212121212121212121212121212122424242424242424242424242424243636727272
order122233444466666612121212223444666661212121212121212121212121212666666612121212121212121212121222666688882424242424242424444881212121212122424242422244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1
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
χ5111111111111111111111-11-1-1-11111111-1-11111-1-11111-11-111-1-1-1-1-1-1-1-1-1-111-1-1111111111111111111-11-1-1-1-1-111-1-1-1-1-1-111-1-11
χ6111111111111111111111-11-1-1-11111111-1-11111-1-11111-11-111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-111-1
χ7111111111111111111111-11-1-1-11111111-1-11111-1-11111-11-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111-11-1-111-1-111-1-1-1-1-1-111-1
χ8111111111111111111111-11-1-1-11111111-1-11111-1-11111-11-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-111111111-1-11
χ9111111-1-1111111111111-111-1-11-1-1111-1-1-1-111-1-11111111-11-1-111-1-1-11-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1-111
χ10111111-1-1111111111111-111-1-11-1-1111-1-1-1-111-1-11111111-11-1-111-1-1-11-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-11-11-1-1-1-111-1-111111-1-1
χ11111111-1-1111111111111-111-1-11-1-1111-1-1-1-111-1-11111111-11-1-111-1-1-11-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-111-11-11111-1-111-1-1111-1-1
χ12111111-1-1111111111111-111-1-11-1-1111-1-1-1-111-1-11111111-11-1-111-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111111-1-1-1-111-1-1-111
χ13111111-1-1111111111111-1-1111-1-1-1111-1-11111-1-1-1-11111-1-1-1-1-1-1-1111-11111-1-1-1-111111111-1-11111-1-1-1-11-1-1-1111-1-1-1-1-1-111-1-11-11
χ14111111-1-1111111111111-1-1111-1-1-1111-1-11111-1-1-1-11111-1-1-1-1-1-1-1111-11111-1-1-1-1111111-1-111-1-1-1-111111-1-11-111-1-1-1-111-1-111-11-1
χ15111111-1-1111111111111-1-1111-1-1-1111-1-11111-1-1-1-11111-1-1-1-1-1-1-1111-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-111-11-1-11111-1-11111-11-1
χ16111111-1-1111111111111-1-1111-1-1-1111-1-11111-1-1-1-11111-1-1-1-1-1-1-1111-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1111-1-1-1111111-1-1-1-11-11
χ1722222222-2-2222222-2-2-2-2-222-22-2-2-222222-2-2-2-222-2-2-2-2-2-22-22-2-22222-2-222-2-222-2-200000000000000000000000000000000000000
χ1822222222-2-2222222-2-2-2-2-2-222-22-2-22222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-222-2-222222200000000000000000000000000000000000000
χ19222222-2-2-2-2222222-2-2-2-22222-2-222222-2-222-2-2-2-2-2-2-2-2-2-22222222-2-22-2-2-222-2-2-2-200000000000000000000000000000000000000
χ20222222-2-2-2-2222222-2-2-2-22-22-22222222-2-2-2-2-2-2-2-222-2-2-2-2-22-222-2-222-2222-2-2-2-22200000000000000000000000000000000000000
χ2122222-1222222-12-1-1222222-122222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1-12-122-1-1-1-1-1-1-1-122-1-1-1-100000000000022200-1-1-1-1-1-1000000000
χ2222222-1222222-12-1-1222222-122222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1-2-21111000000000000-2-2-200111111000000000
χ2322222-1222222-12-1-122222-2-1-2-2-222-1-1-12211-1-1-1-111-1-1-1-1-2-11-1-111-21-2-21111-1-11122-1-1-1-1000000000000-22-20011-1-111000000000
χ2422222-1222222-12-1-122222-2-1-2-2-222-1-1-12211-1-1-1-111-1-1-1-1-2-11-1-111-21-2-21111-1-111-2-211110000000000002-2200-1-111-1-1000000000
χ2522222-122-2-222-12-1-1-2-2-2-2-22-1-22-2-2-2-1-1-1221111-1-111111121-111-1-12-1-2-2-1-111-1-11100−i3−i3i3i300000000000000000−i3i3−i3i3−i3i3000000000
χ2622222-122-2-222-12-1-1-2-2-2-2-22-1-22-2-2-2-1-1-1221111-1-111111121-111-1-12-1-2-2-1-111-1-11100i3i3−i3−i300000000000000000i3−i3i3−i3i3−i3000000000
χ2722222-122-2-222-12-1-1-2-2-2-2-2-2-12-22-2-2-1-1-122-1-111-1-1-1-11111-2111111-212211-1-1-1-1-1-100−i3−i3i3i300000000000000000i3−i3−i3i3i3−i3000000000
χ2822222-122-2-222-12-1-1-2-2-2-2-2-2-12-22-2-2-1-1-122-1-111-1-1-1-11111-2111111-212211-1-1-1-1-1-100i3i3−i3−i300000000000000000−i3i3i3−i3−i3i3000000000
χ2922222-1-2-22222-12-1-12222-22-1-2-22-2-2-1-1-1-2-211-1-111-1-1-1-1-1-121-111-1-1-21-22111111-1-122-1-1-1-1000000000000-2-22001111-1-1000000000
χ3022222-1-2-22222-12-1-12222-22-1-2-22-2-2-1-1-1-2-211-1-111-1-1-1-1-1-121-111-1-1-21-22111111-1-1-2-2111100000000000022-200-1-1-1-111000000000
χ3122222-1-2-22222-12-1-12222-2-2-122-2-2-2-1-1-1-2-2-1-1-1-11111-1-1-1-1-21111112-12-2-1-1-1-1111122-1-1-1-10000000000002-2-200-1-11111000000000
χ3222222-1-2-22222-12-1-12222-2-2-122-2-2-2-1-1-1-2-2-1-1-1-11111-1-1-1-1-21111112-12-2-1-1-1-11111-2-21111000000000000-2220011-1-1-1-1000000000
χ3322222-1-2-2-2-222-12-1-1-2-2-2-222-12-2-222-1-1-1-2-2-1-111111111112-1-1-1-1-1-1-212-211-1-1111100−i3−i3i3i300000000000000000i3−i3i3−i3−i3i3000000000
χ3422222-1-2-2-2-222-12-1-1-2-2-2-222-12-2-222-1-1-1-2-2-1-111111111112-1-1-1-1-1-1-212-211-1-1111100i3i3−i3−i300000000000000000−i3i3−i3i3i3−i3000000000
χ3522222-1-2-2-2-222-12-1-1-2-2-2-22-2-1-22222-1-1-1-2-2111111-1-11111-2-11-1-1112-1-22-1-11111-1-100−i3−i3i3i300000000000000000−i3i3i3−i3i3−i3000000000
χ3622222-1-2-2-2-222-12-1-1-2-2-2-22-2-1-22222-1-1-1-2-2111111-1-11111-2-11-1-1112-1-22-1-11111-1-100i3i3−i3−i300000000000000000i3−i3−i3i3−i3i3000000000
χ372222-122222-1-12-122-1-1-1-122-1222-1-1-1-1-1-1-122222222-1-1-1-1-122-1-1-1-1-12-1-1-1-1-1-1-1-1-1-10000002222-1-1-1-1-1-1-1-100022000000-1-1-1-100000
χ382222-122222-1-12-122-1-1-1-122-1222-1-1-1-1-1-1-122222222-1-1-1-1-122-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1000000-2-2-2-211111111000-2-2000000111100000
χ392222-122222-1-12-122-1-1-1-12-2-1-2-2-2-1-1-1-1-1-1-1-2-22222-2-2-1-1-1-112-2-1-1111-2111111-1-1110000002222-1-1-1-1-1-1-1-1000-2-2000000111100000
χ402222-122222-1-12-122-1-1-1-12-2-1-2-2-2-1-1-1-1-1-1-1-2-22222-2-2-1-1-1-112-2-1-1111-2111111-1-111000000-2-2-2-21111111100022000000-1-1-1-100000
χ412222-1222-2-2-1-12-1221111-22-1-22-211-1-1-1-1-1-2-2-2-222-2-21111-1-2211-1-1-1211-1-111-1-111000000000033−3−333−3−3000000000003−33−300000
χ422222-1222-2-2-1-12-1221111-22-1-22-211-1-1-1-1-1-2-2-2-222-2-21111-1-2211-1-1-1211-1-111-1-1110000000000−3−333−3−33300000000000−33−3300000
χ432222-1222-2-2-1-12-1221111-2-2-12-2211-1-1-1-1-122-2-2222211111-2-211111-2-1-111-1-1-1-1-1-1000000000033−3−333−3−300000000000−33−3300000
χ442222-1222-2-2-1-12-1221111-2-2-12-2211-1-1-1-1-122-2-2222211111-2-211111-2-1-111-1-1-1-1-1-10000000000−3−333−3−333000000000003−33−300000
χ452222-12-2-222-1-12-122-1-1-1-1-22-1-2-2211-1-1-111-2-222-2-222-1-1-1-1-1-2211-1-11-21-1111111-1-100000022-2-2-1-1-1-111110002-2000000-1-11100000
χ462222-12-2-222-1-12-122-1-1-1-1-22-1-2-2211-1-1-111-2-222-2-222-1-1-1-1-1-2211-1-11-21-1111111-1-1000000-2-2221111-1-1-1-1000-2200000011-1-100000
χ472222-12-2-222-1-12-122-1-1-1-1-2-2-122-211-1-1-1112222-2-2-2-2-1-1-1-11-2-21111-12-11-1-1-1-1111100000022-2-2-1-1-1-11111000-2200000011-1-100000
χ482222-12-2-222-1-12-122-1-1-1-1-2-2-122-211-1-1-1112222-2-2-2-2-1-1-1-11-2-21111-12-11-1-1-1-11111000000-2-2221111-1-1-1-10002-2000000-1-11100000
χ492222-12-2-2-2-2-1-12-122111122-12-2-2-1-1-1-1-11122-2-2-2-2-2-21111-122-1-1-1-11-2-1111-1-11111000000000033−3−3−3−333000000000003−3−3300000
χ502222-12-2-2-2-2-1-12-122111122-12-2-2-1-1-1-1-11122-2-2-2-2-2-21111-122-1-1-1-11-2-1111-1-111110000000000−3−33333−3−300000000000−333−300000
χ512222-12-2-2-2-2-1-12-12211112-2-1-222-1-1-1-1-111-2-2-2-2-2-222111112-2-1-111-121-1-1-11111-1-1000000000033−3−3−3−33300000000000−333−300000
χ522222-12-2-2-2-2-1-12-12211112-2-1-222-1-1-1-1-111-2-2-2-2-2-222111112-2-1-111-121-1-1-11111-1-10000000000−3−33333−3−3000000000003−3−3300000
χ532-2-222200-22-2-2-22-22-2-22200200000-2-2200002-2000022-2-200000000000000000002-22-22-2002-200002-22-20000000000000002-2000
χ542-2-222200-22-2-2-22-22-2-22200200000-2-2200002-2000022-2-200000000000000000002-22-22-200-220000-22-22000000000000000-22000
χ552-2-222200-22-2-2-22-22-2-22200200000-2-2200002-2000022-2-20000000000000000000-22-22-22002-200002-22-2000000000000000-22000
χ562-2-222200-22-2-2-22-22-2-22200200000-2-2200002-2000022-2-20000000000000000000-22-22-2200-220000-22-220000000000000002-2000
χ574444-2-24444-2-2-2-2-2-2-2-2-2-2441444-2-2111-2-2-2-2-2-2-2-2-2-21111-2-2-21111-2-2-2-21111111100000000000000000000000000000000000000
χ584444-2-24444-2-2-2-2-2-2-2-2-2-24-41-4-4-4-2-2111-2-222-2-2-2-22211112-2211-1-12222-1-1-1-111-1-100000000000000000000000000000000000000
χ594444-2-244-4-4-2-2-2-2-2-22222-441-44-422111-2-22222-2-222-1-1-1-1-22-2-1-111-2-22211-1-111-1-100000000000000000000000000000000000000
χ604444-2-244-4-4-2-2-2-2-2-22222-4-414-4422111-2-2-2-222-2-2-2-2-1-1-1-1222-1-1-1-122-2-2-1-111111100000000000000000000000000000000000000
χ614444-2-2-4-444-2-2-2-2-2-2-2-2-2-2-441-4-44221112222-2-222-2-21111-22-2-1-111222-2-1-1-1-1-1-11100000000000000000000000000000000000000
χ624444-2-2-4-444-2-2-2-2-2-2-2-2-2-2-4-4144-42211122-2-2-2-222221111222-1-1-1-1-2-2-221111-1-1-1-100000000000000000000000000000000000000
χ634444-2-2-4-4-4-4-2-2-2-2-2-222224414-4-4-2-211122-2-2222222-1-1-1-1-2-2-2111122-22-1-111-1-1-1-100000000000000000000000000000000000000
χ644444-2-2-4-4-4-4-2-2-2-2-2-222224-41-444-2-211122222222-2-2-1-1-1-12-2211-1-1-2-22-211-1-1-1-11100000000000000000000000000000000000000
χ6544-4-4444i−4i004-4-4-44-40000004000004-4-44i−4i00004i−4i0000000000000000000004i−4i0000000000000000000000000000000000000000
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χ7244-4-4-244i−4i00-22-424-4−2323−232300-20002i3−2i3-222−2i2i00004i−4i00−2323−23230002i3−2i30000000000−2i2i0000000000000000000000000000000000000000
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χ7444-4-4-24−4i4i00-22-424-4−2323−232300-2000−2i32i3-2222i−2i0000−4i4i00−2323−2323000−2i32i300000000002i−2i0000000000000000000000000000000000000000
χ7544-4-4-2-24i−4i00-2222-2223−2323−23001000−2i32i31-1-1−2i2i−2i32i300−2i2i23−23−33−33000i3−i33-300003i−3ii3−i3i−i−3300000000000000000000000000000000000000
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χ7944-4-4-2-2−4i4i00-2222-2223−2323−230010002i3−2i31-1-12i−2i−2i32i3002i−2i−2323−33−33000−i3i3-3300003i−3ii3−i3−ii3−300000000000000000000000000000000000000
χ8044-4-4-2-2−4i4i00-2222-2223−2323−230010002i3−2i31-1-12i−2i2i3−2i3002i−2i23−23−33−33000−i3i33-30000−3i3i−i3i3−ii−3300000000000000000000000000000000000000
χ8144-4-4-2-2−4i4i00-2222-22−2323−2323001000−2i32i31-1-12i−2i−2i32i3002i−2i−23233−33−3000i3−i33-30000−3i3ii3−i3−ii3−300000000000000000000000000000000000000
χ8244-4-4-2-2−4i4i00-2222-22−2323−2323001000−2i32i31-1-12i−2i2i3−2i3002i−2i23−233−33−3000i3−i3-3300003i−3i−i3i3−ii−3300000000000000000000000000000000000000
χ834-44-4440000-444-4-4-4000000400000-44-4000000000000000000000000000000000000000−2i22i200−2i22i2−2i22i2000000000000000000000000
χ844-44-4440000-444-4-4-4000000400000-44-40000000000000000000000000000000000000002i2−2i2002i2−2i22i2−2i2000000000000000000000000
χ854-44-4-2400002-242-4-423−23−232300-2000002-220000000000−232323−230000000000000000000000000−2i22i2002ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23000000000000000000000000
χ864-44-4-2400002-242-4-423−23−232300-2000002-220000000000−232323−2300000000000000000000000002i2−2i200−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23000000000000000000000000
χ874-44-4-2400002-242-4-4−232323−2300-2000002-22000000000023−23−23230000000000000000000000000−2i22i2002ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7000000000000000000000000
χ884-44-4-2400002-242-4-4−232323−2300-2000002-22000000000023−23−232300000000000000000000000002i2−2i200−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7000000000000000000000000
χ894-4-4444004-4-4-4-44-4444-4-400400000-4-440000-440000-4-444000000000000000000000000000000000000000000000000000000000
χ904-4-444-2004-4-4-4242-244-4-400-20000022-200002-2000022-2-2000000000000000000000−2i32i32i3−2i300000000000000000000000000000000
χ914-4-444-2004-4-4-4242-244-4-400-20000022-200002-2000022-2-20000000000000000000002i3−2i3−2i32i300000000000000000000000000000000
χ924-4-444-200-44-4-4242-2-4-44400-20000022-20000-220000-2-22200000000000000000004-4-22-2200000000000000000000000000000000
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χ954-4-44-24004-422-4-2-44-2-22200-20000022-20000-44000022-2-2000000000000000000000000000000000−232323−2300000000000000000000
χ964-4-44-2400-4422-4-2-4422-2-200-20000022-200004-40000-2-2220000000000000000000000000004-40000-22-2200000000000000000000
χ974-4-44-2400-4422-4-2-4422-2-200-20000022-200004-40000-2-222000000000000000000000000000-4400002-22-200000000000000000000
χ988-88-88-40000-88-4-844000000-4000004-4400000000000000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-400004-4-444443−43−434300200000-22-2000000000023−23−2323000000000000000000000000000000000000000000000000000000000
χ1008-88-8-4-400004-4-4444−434343−4300200000-22-20000000000−232323−23000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-4008-8444-44-4-4-44400200000-2-2200004-40000-2-222000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-400-88444-44-444-4-400200000-2-220000-44000022-2-2000000000000000000000000000000000000000000000000000000000

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