Finite Group Databasebeta

← Group #11889248

Character table — Group #11889248

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222444444444444444444444444488888888888888888881212121212121212121212121212121212122424242424242424242424242424243636727272
order1222334444666666121212122234446666612121212121212121212121212126666666121212121212121212121212448888121212122424242424242424444881212121212122424242422244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-111111111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1
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
χ5111111111111111111111-11-1-1-111111111111-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-111-1-11111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-11
χ6111111111111111111111-11-1-1-111111111111-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-1-111-1-11111-1-111-1
χ7111111111111111111111-11-1-1-111111111111-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-111-1-111-1-111-1-1-1-1-1-111-1
χ8111111111111111111111-11-1-1-111111111111-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-11
χ9111111-1-1111111111111-111-1-11-1-1111-1-111-1-111-1-11111-111-1-111-1-11-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-11-11-1-1-1-1-11111-1-1-1-1-111
χ10111111-1-1111111111111-111-1-11-1-1111-1-111-1-111-1-11111-111-1-111-1-11-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-11-1-11-1-1-1-111-1-111111-1-1
χ11111111-1-1111111111111-111-1-11-1-1111-1-111-1-111-1-11111-111-1-111-1-11-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11-111-11111-1-111-1-1111-1-1
χ12111111-1-1111111111111-111-1-11-1-1111-1-111-1-111-1-11111-111-1-111-1-11-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111-11-111111-1-1-1-111-1-1-111
χ13111111-1-1111111111111-1-1111-1-1-1111-1-111-1-1-1-1111111-1-1-1-1-1-1-111-111111-1-1-1-11111-1-111111111-1-1-1-1-1-11-1111-1-1-1-1-1-111-1-11-11
χ14111111-1-1111111111111-1-1111-1-1-1111-1-111-1-1-1-1111111-1-1-1-1-1-1-111-111111-1-1-1-111-1-1111111-1-1-1-11111-1-111-111-1-1-1-111-1-111-11-1
χ15111111-1-1111111111111-1-1111-1-1-1111-1-111-1-1-1-1111111-1-1-1-1-1-1-111-111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-11-1-11111-1-11111-11-1
χ16111111-1-1111111111111-1-1111-1-1-1111-1-111-1-1-1-1111111-1-1-1-1-1-1-111-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-11-1-1-1111111-1-1-1-11-11
χ1722222222-2-2222222-2-2-2-2-222-22-2-2-222222-2-222-2-2-2-2-2-2-2-2-222-2-2222-2-2222-2-222-2-200000000000000000000000000000000000000
χ1822222222-2-2222222-2-2-2-2-2-222-22-2-222222-2-2222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-222222200000000000000000000000000000000000000
χ19222222-2-2-2-2222222-2-2-2-22222-2-222222-2-2-2-2-2-2-2-222-2-2-2-22222222-22-2-2-2-222-2-2-2-200000000000000000000000000000000000000
χ20222222-2-2-2-2222222-2-2-2-22-22-22222222-2-2-2-2-2-222-2-2-2-2-2-22-2-222-2-22-22222-2-2-2-22200000000000000000000000000000000000000
χ2122222-12222222-1-1-1222222-122222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1220000-1-1-1-10000000022200-1-1-1-1-1-1000000000
χ2222222-12222222-1-1-1222222-122222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2-20000111100000000-2-2-200111111000000000
χ2322222-12222222-1-1-122222-2-1-2-2-222-1-1-122-1-1-1-11111-1-1-1-1-1-21-1-111-2-2-211111-1-111220000-1-1-1-1000000002-2-20011-1-111000000000
χ2422222-12222222-1-1-122222-2-1-2-2-222-1-1-122-1-1-1-11111-1-1-1-1-1-21-1-111-2-2-211111-1-111-2-20000111100000000-22200-1-111-1-1000000000
χ2522222-122-2-2222-1-1-1-2-2-2-2-22-1-22-2-2-2-1-1-12211-1-11111111112-111-1-12-2-2-1-1-111-1-111000000−i3−i3i3i30000000000000−i3i3−i3i3−i3i3000000000
χ2622222-122-2-2222-1-1-1-2-2-2-2-22-1-22-2-2-2-1-1-12211-1-11111111112-111-1-12-2-2-1-1-111-1-111000000i3i3−i3−i30000000000000i3−i3i3−i3i3−i3000000000
χ2722222-122-2-2222-1-1-1-2-2-2-2-2-2-12-22-2-2-1-1-12211-1-1-1-1-1-111111-211111-222111-1-1-1-1-1-1000000−i3−i3i3i30000000000000i3−i3−i3i3i3−i3000000000
χ2822222-122-2-2222-1-1-1-2-2-2-2-2-2-12-22-2-2-1-1-12211-1-1-1-1-1-111111-211111-222111-1-1-1-1-1-1000000i3i3−i3−i30000000000000−i3i3i3−i3−i3i3000000000
χ2922222-1-2-222222-1-1-12222-22-1-2-22-2-2-1-1-1-2-2-1-111-1-111-1-1-1-112-111-1-1-2-221111111-1-1220000-1-1-1-100000000-22-2001111-1-1000000000
χ3022222-1-2-222222-1-1-12222-22-1-2-22-2-2-1-1-1-2-2-1-111-1-111-1-1-1-112-111-1-1-2-221111111-1-1-2-200001111000000002-2200-1-1-1-111000000000
χ3122222-1-2-222222-1-1-12222-2-2-122-2-2-2-1-1-1-2-2-1-11111-1-1-1-1-1-11-21111122-2-1-1-1-1-11111220000-1-1-1-100000000-2-2200-1-11111000000000
χ3222222-1-2-222222-1-1-12222-2-2-122-2-2-2-1-1-1-2-2-1-11111-1-1-1-1-1-11-21111122-2-1-1-1-1-11111-2-2000011110000000022-20011-1-1-1-1000000000
χ3322222-1-2-2-2-2222-1-1-1-2-2-2-222-12-2-222-1-1-1-2-2111111-1-11111-12-1-1-1-1-1-22-2111-1-11111000000−i3−i3i3i30000000000000i3−i3i3−i3−i3i3000000000
χ3422222-1-2-2-2-2222-1-1-1-2-2-2-222-12-2-222-1-1-1-2-2111111-1-11111-12-1-1-1-1-1-22-2111-1-11111000000i3i3−i3−i30000000000000−i3i3−i3i3i3−i3000000000
χ3522222-1-2-2-2-2222-1-1-1-2-2-2-22-2-1-22222-1-1-1-2-21111-1-1111111-1-21-1-1112-22-1-1-11111-1-1000000−i3−i3i3i30000000000000−i3i3i3−i3i3−i3000000000
χ3622222-1-2-2-2-2222-1-1-1-2-2-2-22-2-1-22222-1-1-1-2-21111-1-1111111-1-21-1-1112-22-1-1-11111-1-1000000i3i3−i3−i30000000000000i3−i3−i3i3−i3i3000000000
χ372222-122222-1-1-1222-1-1-1-122-1222-1-1-1-1-1-1-122222222-1-1-1-12-12-1-1-1-1-1-1-12-1-1-1-1-1-1-1-10022220000-1-1-1-1-1-1-1-100022000000-1-1-1-100000
χ382222-122222-1-1-1222-1-1-1-122-1222-1-1-1-1-1-1-122222222-1-1-1-12-12-1-1-1-1-1-1-12-1-1-1-1-1-1-1-100-2-2-2-2000011111111000-2-2000000111100000
χ392222-122222-1-1-1222-1-1-1-12-2-1-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-121-2-1-111111-21111-1-1110022220000-1-1-1-1-1-1-1-1000-2-2000000111100000
χ402222-122222-1-1-1222-1-1-1-12-2-1-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-121-2-1-111111-21111-1-11100-2-2-2-200001111111100022000000-1-1-1-100000
χ412222-1222-2-2-1-1-12221111-22-1-22-211-1-1-1-1-1-2-222-2-2-2-21111-2-1211-1-1-1112-1-111-1-111000000000033−3−333−3−3000000000003−33−300000
χ422222-1222-2-2-1-1-12221111-22-1-22-211-1-1-1-1-1-2-222-2-2-2-21111-2-1211-1-1-1112-1-111-1-1110000000000−3−333−3−33300000000000−33−3300000
χ432222-1222-2-2-1-1-12221111-2-2-12-2211-1-1-1-1-1-2-22222221111-21-211111-1-1-211-1-1-1-1-1-1000000000033−3−333−3−300000000000−33−3300000
χ442222-1222-2-2-1-1-12221111-2-2-12-2211-1-1-1-1-1-2-22222221111-21-211111-1-1-211-1-1-1-1-1-10000000000−3−333−3−333000000000003−33−300000
χ452222-12-2-222-1-1-1222-1-1-1-1-22-1-2-2211-1-1-11122-2-222-2-2-1-1-1-1-2-1211-1-111-1-2111111-1-10022-2-20000-1-1-1-111110002-2000000-1-11100000
χ462222-12-2-222-1-1-1222-1-1-1-1-22-1-2-2211-1-1-11122-2-222-2-2-1-1-1-1-2-1211-1-111-1-2111111-1-100-2-22200001111-1-1-1-1000-2200000011-1-100000
χ472222-12-2-222-1-1-1222-1-1-1-1-2-2-122-211-1-1-11122-2-2-2-222-1-1-1-1-21-21111-1-112-1-1-1-111110022-2-20000-1-1-1-11111000-2200000011-1-100000
χ482222-12-2-222-1-1-1222-1-1-1-1-2-2-122-211-1-1-11122-2-2-2-222-1-1-1-1-21-21111-1-112-1-1-1-1111100-2-22200001111-1-1-1-10002-2000000-1-11100000
χ492222-12-2-2-2-2-1-1-1222111122-12-2-2-1-1-1-1-111-2-2-2-2-2-22211112-12-1-1-1-11-11-211-1-11111000000000033−3−3−3−333000000000003−3−3300000
χ502222-12-2-2-2-2-1-1-1222111122-12-2-2-1-1-1-1-111-2-2-2-2-2-22211112-12-1-1-1-11-11-211-1-111110000000000−3−33333−3−300000000000−333−300000
χ512222-12-2-2-2-2-1-1-122211112-2-1-222-1-1-1-1-111-2-2-2-222-2-2111121-2-1-111-11-12-1-11111-1-1000000000033−3−3−3−33300000000000−333−300000
χ522222-12-2-2-2-2-1-1-122211112-2-1-222-1-1-1-1-111-2-2-2-222-2-2111121-2-1-111-11-12-1-11111-1-10000000000−3−33333−3−3000000000003−3−3300000
χ532-2-2222002-2-2-22-22-222-2-200200000-2-22002-200000022-2-200000000000000000002i−2i002i−2i2i−2i2i−2i00002i−2i2i−2i0000000000000002-2000
χ542-2-2222002-2-2-22-22-222-2-200200000-2-22002-200000022-2-200000000000000000002i−2i00−2i2i2i−2i2i−2i0000−2i2i−2i2i000000000000000-22000
χ552-2-2222002-2-2-22-22-222-2-200200000-2-22002-200000022-2-20000000000000000000−2i2i002i−2i−2i2i−2i2i00002i−2i2i−2i000000000000000-22000
χ562-2-2222002-2-2-22-22-222-2-200200000-2-22002-200000022-2-20000000000000000000−2i2i00−2i2i−2i2i−2i2i0000−2i2i−2i2i0000000000000002-2000
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
χ584444-2-24444-2-2-2-2-2-2-2-2-2-24-41-4-4-4-2-2111-2-2-2-2-2-222221111-22211-1-12222-1-1-1-111-1-100000000000000000000000000000000000000
χ594444-2-244-4-4-2-2-2-2-2-22222-441-44-422111-2-222-2-22222-1-1-1-12-2-2-1-111-222-211-1-111-1-100000000000000000000000000000000000000
χ604444-2-244-4-4-2-2-2-2-2-22222-4-414-4422111-2-222-2-2-2-2-2-2-1-1-1-1222-1-1-1-12-2-22-1-111111100000000000000000000000000000000000000
χ614444-2-2-4-444-2-2-2-2-2-2-2-2-2-2-441-4-442211122-2-222-2-22211112-2-2-1-11122-22-1-1-1-1-1-11100000000000000000000000000000000000000
χ624444-2-2-4-444-2-2-2-2-2-2-2-2-2-2-4-4144-42211122-2-22222-2-21111222-1-1-1-1-2-22-21111-1-1-1-100000000000000000000000000000000000000
χ634444-2-2-4-4-4-4-2-2-2-2-2-222224414-4-4-2-211122222222-2-2-1-1-1-1-2-2-211112-222-1-111-1-1-1-100000000000000000000000000000000000000
χ644444-2-2-4-4-4-4-2-2-2-2-2-222224-41-444-2-2111222222-2-222-1-1-1-1-22211-1-1-22-2-211-1-1-1-11100000000000000000000000000000000000000
χ6544-4-4444i−4i004-4-4-4-440000004000004-4-44i−4i004i−4i000000000000000000000004i−4i0000000000000000000000000000000000000000
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χ7144-4-4-244i−4i00-222-4-4423−2323−2300-2000−2i32i3-222−2i2i004i−4i000023−2323−23000−2i32i30000000000−2i2i0000000000000000000000000000000000000000
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χ7544-4-4-2-24i−4i00-22222-223−2323−23001000−2i32i31-1-1−2i2i00−2i2i23−23−2i32i3−33−33000i3−i33-300003i−3ii3−i3i−i−3300000000000000000000000000000000000000
χ7644-4-4-2-24i−4i00-22222-223−2323−23001000−2i32i31-1-1−2i2i00−2i2i−23232i3−2i3−33−33000i3−i3-330000−3i3i−i3i3i−i3−300000000000000000000000000000000000000
χ7744-4-4-2-24i−4i00-22222-2−2323−23230010002i3−2i31-1-1−2i2i00−2i2i23−23−2i32i33−33−3000−i3i3-330000−3i3ii3−i3i−i−3300000000000000000000000000000000000000
χ7844-4-4-2-24i−4i00-22222-2−2323−23230010002i3−2i31-1-1−2i2i00−2i2i−23232i3−2i33−33−3000−i3i33-300003i−3i−i3i3i−i3−300000000000000000000000000000000000000
χ7944-4-4-2-2−4i4i00-22222-223−2323−230010002i3−2i31-1-12i−2i002i−2i23−232i3−2i3−33−33000−i3i33-30000−3i3i−i3i3−ii−3300000000000000000000000000000000000000
χ8044-4-4-2-2−4i4i00-22222-223−2323−230010002i3−2i31-1-12i−2i002i−2i−2323−2i32i3−33−33000−i3i3-3300003i−3ii3−i3−ii3−300000000000000000000000000000000000000
χ8144-4-4-2-2−4i4i00-22222-2−2323−2323001000−2i32i31-1-12i−2i002i−2i23−232i3−2i33−33−3000i3−i3-3300003i−3i−i3i3−ii−3300000000000000000000000000000000000000
χ8244-4-4-2-2−4i4i00-22222-2−2323−2323001000−2i32i31-1-12i−2i002i−2i−2323−2i32i33−33−3000i3−i33-30000−3i3ii3−i3−ii3−300000000000000000000000000000000000000
χ834-44-4440000-44-44-4-4000000400000-44-400000000000000000000000000000000000−2i22i2000000−2i22i2−2i22i2000000000000000000000000
χ844-44-4440000-44-44-4-4000000400000-44-4000000000000000000000000000000000002i2−2i20000002i2−2i22i2−2i2000000000000000000000000
χ854-44-4-2400002-224-4-423−23−232300-2000002-22000000000023−23−2323000000000000000000000−2i22i20000002ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23000000000000000000000000
χ864-44-4-2400002-224-4-423−23−232300-2000002-22000000000023−23−23230000000000000000000002i2−2i2000000−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23000000000000000000000000
χ874-44-4-2400002-224-4-4−232323−2300-2000002-220000000000−232323−23000000000000000000000−2i22i20000002ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7000000000000000000000000
χ884-44-4-2400002-224-4-4−232323−2300-2000002-220000000000−232323−230000000000000000000002i2−2i2000000−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7000000000000000000000000
χ894-4-444400-44-4-44-44-4-4-44400400000-4-4400-44000000-4-444000000000000000000000000000000000000000000000000000000000
χ904-4-444-2004-4-4-442-2244-4-400-20000022-200-22000000-2-22200000000000000000004i−4i0000−2i2i−2i2i0000000000000000000000000000
χ914-4-444-2004-4-4-442-2244-4-400-20000022-200-22000000-2-2220000000000000000000−4i4i00002i−2i2i−2i0000000000000000000000000000
χ924-4-444-200-44-4-442-22-4-44400-20000022-2002-200000022-2-2000000000000000000000000023−23−23230000000000000000000000000000
χ934-4-444-200-44-4-442-22-4-44400-20000022-2002-200000022-2-20000000000000000000000000−232323−230000000000000000000000000000
χ944-4-44-24004-422-2-44-4-2-22200-20000022-2004-4000000-2-222000000000000000000000004i−4i00000000−2i2i−2i2i00000000000000000000
χ954-4-44-24004-422-2-44-4-2-22200-20000022-2004-4000000-2-22200000000000000000000000−4i4i000000002i−2i2i−2i00000000000000000000
χ964-4-44-2400-4422-2-44-422-2-200-20000022-200-4400000022-2-2000000000000000000000000000000000−2i32i32i3−2i300000000000000000000
χ974-4-44-2400-4422-2-44-422-2-200-20000022-200-4400000022-2-20000000000000000000000000000000002i3−2i3−2i32i300000000000000000000
χ988-88-88-40000-88-8-444000000-4000004-4400000000000000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-400004-44-44443−43−434300200000-22-20000000000−232323−23000000000000000000000000000000000000000000000000000000000
χ1008-88-8-4-400004-44-444−434343−4300200000-22-2000000000023−23−2323000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-4008-844-44-44-4-44400200000-2-2200-4400000022-2-2000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-400-8844-44-4444-4-400200000-2-22004-4000000-2-222000000000000000000000000000000000000000000000000000000000

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