Finite Group Databasebeta

← Group #11874295

Character table — Group #11874295

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111222222222222223333444444444444444466666666666666666688888888888812121212121212121212121212121616161616161818181818181818242424242424242448487272
order12223344444466666644443666121212121212121212121212224444888888881212121222666612121212121266121212122424242424242424666666888888882244121212126644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1
χ6111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ7111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111
χ8111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1
χ9111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111111-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-11111-1-1-1-11-11-111-1-11-11-1
χ10111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-11-1-1111111-1-1-1-1-11-11-1-111-11-11
χ11111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111-111-1-1-1-1-1-11111-111-111-1-1-11-11
χ12111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-11-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-11-1-111-1-1-1-111111-1-11-1-1111-11-1
χ13111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-111111111-1-1-1-11-111-1-1-1-1-1-111111-1-11-1-1111-1-11
χ14111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111111111-1-1-1-1-11-1-111-1-1-1-11111-111-111-1-1-111-1
χ15111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-11111-1-1-1-111111-111-1-11111-1-1-1-1-11-11-1-111-111-1
χ16111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-11111-1-1-1-11111-11-1-1111111-1-1-1-11-11-111-1-11-1-11
χ1722222222-2-2-2-22222222222222222-2-222-2-2-2-2-2-2-2-222-2-2000000002222000000-2-222-2-2-2-222-2-20000000000000000000000000000000000
χ1822222222-2-2-2-2222222-2-2-2-2222222-2-222-2-2-2-2-2-222-2-22200000000-2-2-2-2000000-2-222-2-222-2-2220000000000000000000000000000000000
χ19222222-2-222-2-222222222222222-2-222-2-222-2-2-2-2-2-2-2-222000000002222000000-2-2-2-222-2-2-2-2220000000000000000000000000000000000
χ20222222-2-222-2-2222222-2-2-2-22222-2-222-2-222-2-2-2-22222-2-200000000-2-2-2-2000000-2-2-2-2222222-2-20000000000000000000000000000000000
χ2122222-1222222-1-1-12220000-1-1-1-1-1-1-1-1222222-1-1000000222222220000222222-1-1-1-1-1-1000000-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000022000000-1-100
χ2222222-1222222-1-1-12220000-1-1-1-1-1-1-1-1222222-1-1000000222222220000-2-2-2-2-2-2-1-1-1-1-1-1000000-1-1-1-1-1-1-1-111111100000000-2-20000001100
χ2322222-1222222-1-1-12220000-1-1-1-1-1-1-1-1222222-1-1000000-2-2-2-2-2-2-2-20000222222-1-1-1-1-1-100000011111111-1-1-1-1-1-100000000-2-20000001100
χ2422222-1222222-1-1-12220000-1-1-1-1-1-1-1-1222222-1-1000000-2-2-2-2-2-2-2-20000-2-2-2-2-2-2-1-1-1-1-1-1000000111111111111110000000022000000-1-100
χ2522222-1-2-2-2-222-1-1-12220000-1-1-1-11111-2-2-2-222-1-10000002222-2-2-2-200002-222-2-2-1-11111000000-1-1-1-11111-11-1-111000000002-2000000-1100
χ2622222-1-2-2-2-222-1-1-12220000-1-1-1-11111-2-2-2-222-1-10000002222-2-2-2-20000-22-2-222-1-11111000000-1-1-1-111111-111-1-100000000-220000001-100
χ2722222-1-2-2-2-222-1-1-12220000-1-1-1-11111-2-2-2-222-1-1000000-2-2-2-2222200002-222-2-2-1-111110000001111-1-1-1-1-11-1-11100000000-220000001-100
χ2822222-1-2-2-2-222-1-1-12220000-1-1-1-11111-2-2-2-222-1-1000000-2-2-2-222220000-22-2-222-1-111110000001111-1-1-1-11-111-1-1000000002-2000000-1100
χ292222-12222222222-1-1-12222-1-1-1-12222-1-1-1-1-1-12222222200000000-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000022-1-1-1-1000000000022-1-1-1-10000
χ302222-12222222222-1-1-12222-1-1-1-12222-1-1-1-1-1-12222222200000000-1-1-1-1-2-21111-1-1-1-1-1-1-1-1-1-1-1-100000000-2-211110000000000-2-211110000
χ312222-12222222222-1-1-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-122-2-2-2-2-2-200000000111122-1-1-1-1-1-1-1-1-1-11111110000000022-1-1-1-10000000000-2-211110000
χ322222-12222222222-1-1-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-122-2-2-2-2-2-2000000001111-2-21111-1-1-1-1-1-111111100000000-2-21111000000000022-1-1-1-10000
χ332222-1222-2-2-2-2222-1-1-12222-1-1-1-122-2-2-1-11111-2-2-2-222-2-200000000-1-1-1-100−i3i3−i3i311-1-11111-1-1110000000000−i3i3−i3i3000000000000−i3i3−i3i30000
χ342222-1222-2-2-2-2222-1-1-12222-1-1-1-122-2-2-1-11111-2-2-2-222-2-200000000-1-1-1-100i3−i3i3−i311-1-11111-1-1110000000000i3−i3i3−i3000000000000i3−i3i3−i30000
χ352222-1222-2-2-2-2222-1-1-1-2-2-2-2-1-1-1-122-2-2-1-11111-2-222-2-22200000000111100−i3i3−i3i311-1-111-1-111-1-10000000000−i3i3−i3i3000000000000i3−i3i3−i30000
χ362222-1222-2-2-2-2222-1-1-1-2-2-2-2-1-1-1-122-2-2-1-11111-2-222-2-22200000000111100i3−i3i3−i311-1-111-1-111-1-10000000000i3−i3i3−i3000000000000−i3i3−i3i30000
χ372222-12-2-222-2-2222-1-1-12222-1-1-1-1-2-22211-1-111-2-2-2-2-2-22200000000-1-1-1-100−i3i3i3−i31111-1-11111-1-10000000000−i3i3i3−i3000000000000−i3i3i3−i30000
χ382222-12-2-222-2-2222-1-1-12222-1-1-1-1-2-22211-1-111-2-2-2-2-2-22200000000-1-1-1-100i3−i3−i3i31111-1-11111-1-10000000000i3−i3−i3i3000000000000i3−i3−i3i30000
χ392222-12-2-222-2-2222-1-1-1-2-2-2-2-1-1-1-1-2-22211-1-111-2-22222-2-200000000111100−i3i3i3−i31111-1-1-1-1-1-1110000000000−i3i3i3−i3000000000000i3−i3−i3i30000
χ402222-12-2-222-2-2222-1-1-1-2-2-2-2-1-1-1-1-2-22211-1-111-2-22222-2-200000000111100i3−i3−i3i31111-1-1-1-1-1-1110000000000i3−i3−i3i3000000000000−i3i3i3−i30000
χ412222-12-2-2-2-222222-1-1-12222-1-1-1-1-2-2-2-21111-1-12222-2-2-2-200000000-1-1-1-12-2-1-111-1-11111-1-11111000000002-2-1-11100000000002-2-1-1110000
χ422222-12-2-2-2-222222-1-1-12222-1-1-1-1-2-2-2-21111-1-12222-2-2-2-200000000-1-1-1-1-2211-1-1-1-11111-1-1111100000000-2211-1-10000000000-2211-1-10000
χ432222-12-2-2-2-222222-1-1-1-2-2-2-2-1-1-1-1-2-2-2-21111-1-122-2-222220000000011112-2-1-111-1-1111111-1-1-1-1000000002-2-1-1110000000000-2211-1-10000
χ442222-12-2-2-2-222222-1-1-1-2-2-2-2-1-1-1-1-2-2-2-21111-1-122-2-22222000000001111-2211-1-1-1-1111111-1-1-1-100000000-2211-1-100000000002-2-1-1110000
χ4522-2-222002-2002-2-22-2-22i2i−2i−2i22-2-2002-2002-2000000002i−2i22−2−222−2−22i2i−2i−2i00000000002-200002i−2i22−2−222−2−2000000−i2−i2i2i2−i2−i2i2i2000000000000
χ4622-2-222002-2002-2-22-2-22i2i−2i−2i22-2-2002-2002-2000000002i−2i−2−222−2−2222i2i−2i−2i00000000002-200002i−2i−2−222−2−222000000i2i2−i2−i2i2i2−i2−i2000000000000
χ4722-2-222002-2002-2-22-2-2−2i−2i2i2i22-2-2002-2002-200000000−2i2i22−2−222−2−2−2i−2i2i2i00000000002-20000−2i2i22−2−222−2−2000000i2i2−i2−i2i2i2−i2−i2000000000000
χ4822-2-222002-2002-2-22-2-2−2i−2i2i2i22-2-2002-2002-200000000−2i2i−2−222−2−222−2i−2i2i2i00000000002-20000−2i2i−2−222−2−222000000−i2−i2i2i2−i2−i2i2i2000000000000
χ4922-2-22200-22002-2-22-2-22i2i−2i−2i22-2-200-2200-2200000000−2i2i22−2−2−2−2222i2i−2i−2i0000000000-220000−2i2i22−2−2−2−222000000−i2−i2i2i2i2i2−i2−i2000000000000
χ5022-2-22200-22002-2-22-2-22i2i−2i−2i22-2-200-2200-2200000000−2i2i−2−22222−2−22i2i−2i−2i0000000000-220000−2i2i−2−22222−2−2000000i2i2−i2−i2−i2−i2i2i2000000000000
χ5122-2-22200-22002-2-22-2-2−2i−2i2i2i22-2-200-2200-22000000002i−2i22−2−2−2−222−2i−2i2i2i0000000000-2200002i−2i22−2−2−2−222000000i2i2−i2−i2−i2−i2i2i2000000000000
χ5222-2-22200-22002-2-22-2-2−2i−2i2i2i22-2-200-2200-22000000002i−2i−2−22222−2−2−2i−2i2i2i0000000000-2200002i−2i−2−22222−2−2000000−i2−i2i2i2i2i2−i2−i2000000000000
χ532-22-2222-20000-22-2-22-22i−2i2i−2i2-22-22-2002-2000000002i−2i002−22−22−22−22i−2i2i−2i000000002-200002i−2i002−22−22−22−2000000−i2i2−i2i2−i2i2−i2i2000000000000
χ542-22-2222-20000-22-2-22-22i−2i2i−2i2-22-22-2002-2000000002i−2i00−22−22−22−222i−2i2i−2i000000002-200002i−2i00−22−22−22−22000000i2−i2i2−i2i2−i2i2−i2000000000000
χ552-22-2222-20000-22-2-22-2−2i2i−2i2i2-22-22-2002-200000000−2i2i002−22−22−22−2−2i2i−2i2i000000002-20000−2i2i002−22−22−22−2000000i2−i2i2−i2i2−i2i2−i2000000000000
χ562-22-2222-20000-22-2-22-2−2i2i−2i2i2-22-22-2002-200000000−2i2i00−22−22−22−22−2i2i−2i2i000000002-20000−2i2i00−22−22−22−22000000−i2i2−i2i2−i2i2−i2i2000000000000
χ572-22-222-220000-22-2-22-22i−2i2i−2i2-22-2-2200-2200000000−2i2i002−22−2−22−222i−2i2i−2i00000000-220000−2i2i002−22−2−22−22000000−i2i2−i2i2i2−i2i2−i2000000000000
χ582-22-222-220000-22-2-22-22i−2i2i−2i2-22-2-2200-2200000000−2i2i00−22−222−22−22i−2i2i−2i00000000-220000−2i2i00−22−222−22−2000000i2−i2i2−i2−i2i2−i2i2000000000000
χ592-22-222-220000-22-2-22-2−2i2i−2i2i2-22-2-2200-22000000002i−2i002−22−2−22−22−2i2i−2i2i00000000-2200002i−2i002−22−2−22−22000000i2−i2i2−i2−i2i2−i2i2000000000000
χ602-22-222-220000-22-2-22-2−2i2i−2i2i2-22-2-2200-22000000002i−2i00−22−222−22−2−2i2i−2i2i00000000-2200002i−2i00−22−222−22−2000000−i2i2−i2i2i2−i2i2−i2000000000000
χ612-2-222200002-2-2-22-2-222-2-222-2-22000000002-22-22-2000000002-2-222-2-220000002-200002-2000000002-2-2200000000002-2-22000000000000
χ622-2-222200002-2-2-22-2-222-2-222-2-22000000002-22-22-200000000-222-22-2-220000002-200002-200000000-222-20000000000-222-2000000000000
χ632-2-222200002-2-2-22-2-22-222-22-2-22000000002-22-2-22000000002-2-22-222-20000002-20000-22000000002-2-220000000000-222-2000000000000
χ642-2-222200002-2-2-22-2-22-222-22-2-22000000002-22-2-2200000000-222-2-222-20000002-20000-2200000000-222-200000000002-2-22000000000000
χ652-2-22220000-22-2-22-2-222-2-222-2-2200000000-22-22-2200002-2-2200002-2-22000000-220000-2200002-2-2200000000002-2-220000000000000000
χ662-2-22220000-22-2-22-2-222-2-222-2-2200000000-22-22-220000-222-200002-2-22000000-220000-220000-222-20000000000-222-20000000000000000
χ672-2-22220000-22-2-22-2-22-222-22-2-2200000000-22-222-200002-2-220000-222-2000000-2200002-200002-2-220000000000-222-20000000000000000
χ682-2-22220000-22-2-22-2-22-222-22-2-2200000000-22-222-20000-222-20000-222-2000000-2200002-20000-222-200000000002-2-220000000000000000
χ6944444-244-4-4-4-4-2-2-24440000-2-2-2-2-2-22244-4-4-4-42200000000000000000000000022-2-2220000000000000000000000000000000000000000
χ7044444-2-4-444-4-4-2-2-24440000-2-2-2-222-2-2-4-444-4-4220000000000000000000000002222-2-20000000000000000000000000000000000000000
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χ724444-2-2444444-2-2-2-2-2-200001111-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000-4-422221111110000000000000022-1-1-1-100000000000000000000
χ734444-2-244-4-4-4-4-2-2-2-2-2-200001111-2-222-2-222222200000000000000000000−2i32i3−2i32i3-1-111-1-10000000000000000i3−i3i3−i300000000000000000000
χ744444-2-244-4-4-4-4-2-2-2-2-2-200001111-2-222-2-2222222000000000000000000002i3−2i32i3−2i3-1-111-1-10000000000000000−i3i3−i3i300000000000000000000
χ754444-2-2-4-444-4-4-2-2-2-2-2-20000111122-2-222-2-2222200000000000000000000−2i32i32i3−2i3-1-1-1-1110000000000000000i3−i3−i3i300000000000000000000
χ764444-2-2-4-444-4-4-2-2-2-2-2-20000111122-2-222-2-22222000000000000000000002i3−2i3−2i32i3-1-1-1-1110000000000000000−i3i3i3−i300000000000000000000
χ774444-2-2-4-4-4-444-2-2-2-2-2-20000111122222222-2-2-2-20000000000000000004-4-2-22211-1-1-1-100000000000000-2211-1-100000000000000000000
χ784444-2-2-4-4-4-444-2-2-2-2-2-20000111122222222-2-2-2-2000000000000000000-4422-2-211-1-1-1-1000000000000002-2-1-11100000000000000000000
χ7944-4-44-2004-400-2224-4-40000-2-22200-22004-400000000002222−22−222222−22−2200000000000000-22000000−2−222−2−22200000000000000000000000000
χ8044-4-44-2004-400-2224-4-40000-2-22200-22004-40000000000−22−222222−22−22222200000000000000-2200000022−2−222−2−200000000000000000000000000
χ8144-4-44-200-4400-2224-4-40000-2-222002-200-4400000000002222−22−22−22−222222000000000000002-2000000−2−22222−2−200000000000000000000000000
χ8244-4-44-200-4400-2224-4-40000-2-222002-200-440000000000−22−2222222222−22−22000000000000002-200000022−2−2−2−22200000000000000000000000000
χ8344-4-4-24004-4004-4-4-2224i4i−4i−4i-2-222004-400-22000000004i−4i00000000−2i−2i2i2i0000000000-220000−2i2i0000000000000000000000000000000000
χ8444-4-4-24004-4004-4-4-222−4i−4i4i4i-2-222004-400-2200000000−4i4i000000002i2i−2i−2i0000000000-2200002i−2i0000000000000000000000000000000000
χ8544-4-4-2400-44004-4-4-2224i4i−4i−4i-2-22200-44002-200000000−4i4i00000000−2i−2i2i2i00000000002-200002i−2i0000000000000000000000000000000000
χ8644-4-4-2400-44004-4-4-222−4i−4i4i4i-2-22200-44002-2000000004i−4i000000002i2i−2i−2i00000000002-20000−2i2i0000000000000000000000000000000000
χ874-44-44-24-400002-22-44-40000-22-22-22004-400000000000022−2222−2222−2222−22000000000000-2200000000−22−22−22−2200000000000000000000000000
χ884-44-44-24-400002-22-44-40000-22-22-22004-4000000000000−2222−2222−2222−2222000000000000-22000000002−22−22−22−200000000000000000000000000
χ894-44-44-2-4400002-22-44-40000-22-222-200-4400000000000022−2222−22−2222−22220000000000002-200000000−22−222−22−200000000000000000000000000
χ904-44-44-2-4400002-22-44-40000-22-222-200-44000000000000−2222−222222−2222−220000000000002-2000000002−22−2−22−2200000000000000000000000000
χ914-44-4-244-40000-44-42-224i−4i4i−4i-22-224-400-22000000004i−4i0000000000−2i2i−2i2i00000000-220000−2i2i000000000000000000000000000000000000
χ924-44-4-244-40000-44-42-22−4i4i−4i4i-22-224-400-2200000000−4i4i00000000002i−2i2i−2i00000000-2200002i−2i000000000000000000000000000000000000
χ934-44-4-24-440000-44-42-224i−4i4i−4i-22-22-44002-200000000−4i4i0000000000−2i2i−2i2i000000002-200002i−2i000000000000000000000000000000000000
χ944-44-4-24-440000-44-42-22−4i4i−4i4i-22-22-44002-2000000004i−4i00000000002i−2i2i−2i000000002-20000−2i2i000000000000000000000000000000000000
χ954-4-444-200004-422-2-4-440000-222-2000000004-4-2200000000004-4-440000000000-2200000000000000-222-200000000000000000000000000
χ964-4-444-200004-422-2-4-440000-222-2000000004-4-220000000000-444-40000000000-22000000000000002-2-2200000000000000000000000000
χ974-4-444-20000-4422-2-4-440000-222-200000000-442-20000004-4-44000000000000002-20000000000-222-2000000000000000000000000000000
χ984-4-444-20000-4422-2-4-440000-222-200000000-442-2000000-444-4000000000000002-200000000002-2-22000000000000000000000000000000
χ994-4-44-2400004-4-4-4422-24-4-44-222-200000000-224-44-4000000000000-222-2000000-220000-2200000000000000000000000000000000000000
χ1004-4-44-2400004-4-4-4422-2-444-4-222-200000000-224-4-440000000000002-2-22000000-2200002-200000000000000000000000000000000000000
χ1014-4-44-240000-44-4-4422-24-4-44-222-2000000002-2-44-44000000000000-222-20000002-200002-200000000000000000000000000000000000000
χ1024-4-44-240000-44-4-4422-2-444-4-222-2000000002-2-444-40000000000002-2-220000002-20000-2200000000000000000000000000000000000000
χ10388-8-8-4-4008-800-444-444000022-2-200-4400-44000000000000000000000000000000002-20000000000000000000000000000000000000000
χ10488-8-8-4-400-8800-444-444000022-2-2004-4004-400000000000000000000000000000000-220000000000000000000000000000000000000000
χ1058-88-8-4-48-800004-444-4400002-22-2-4400-44000000000000000000000000000000002-2000000000000000000000000000000000000000000
χ1068-88-8-4-4-8800004-444-4400002-22-24-4004-400000000000000000000000000000000-22000000000000000000000000000000000000000000
χ1078-8-88-4-400008-844-444-400002-2-2200000000-44-440000000000000000000000002-200000000000000000000000000000000000000000000
χ1088-8-88-4-40000-8844-444-400002-2-22000000004-44-4000000000000000000000000-2200000000000000000000000000000000000000000000

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