Finite Group Databasebeta

← Group #11874982

Character table — Group #11874982

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111222222222222223333444444444444444466666666666666666688888888888812121212121212121212121212121616161616161818181818181818242424242424242448487272
order12223344444466666644443666121212121212121212121212224444888888881212121244121212121212121212126612121212242424242424242412121212121288888888444412121212121244
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
χ9111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-11111-1-1-1-11-11-111-1-11-11-1
χ10111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-11-1-1111111-1-1-1-1-11-11-1-111-11-11
χ11111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111-111-1-1-1-1-1-11111-111-111-1-1-11-11
χ12111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-11-1-111-1-1-1-111111-1-11-1-1111-11-1
χ13111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-111111111-1-1-1-11-111-1-1-1-1-1-111111-1-11-1-1111-1-11
χ14111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111111111-1-1-1-1-11-1-111-1-1-1-11111-111-111-1-1-111-1
χ15111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-11111-1-1-1-111111-111-1-11111-1-1-1-1-11-11-1-111-111-1
χ16111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-11111-1-1-1-11111-11-1-1111111-1-1-1-11-11-111-1-11-1-11
χ1722222222-2-2-2-222222222222222-2-2-2-222-2-222-2-2-2-2-2-222000000002222000000-2-2-2-222-2-2-2-2220000000000000000000000000000000000
χ1822222222-2-2-2-2222222-2-2-2-22222-2-2-2-222-2-222-2-22222-2-200000000-2-2-2-2000000-2-2-2-2222222-2-20000000000000000000000000000000000
χ19222222-2-222-2-22222222222222222-2-2-2-222-2-2-2-2-2-222-2-2000000002222000000-2-222-2-2-2-222-2-20000000000000000000000000000000000
χ20222222-2-222-2-2222222-2-2-2-2222222-2-2-2-222-2-2-2-222-2-22200000000-2-2-2-2000000-2-222-2-222-2-2220000000000000000000000000000000000
χ2122222-122222222-1-1-122222-1-1-1-122-1-1-1-1-1-1222222222200000000-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000022-1-1-1-1000000000022-1-1-1-10000
χ2222222-122222222-1-1-122222-1-1-1-122-1-1-1-1-1-1222222222200000000-1-1-1-1-2-21111-1-1-1-1-1-1-1-1-1-1-1-100000000-2-211110000000000-2-211110000
χ2322222-122222222-1-1-12-2-2-2-2-1-1-1-122-1-1-1-1-1-12222-2-2-2-2-2-200000000111122-1-1-1-1-1-1-1-1-1-11111110000000022-1-1-1-10000000000-2-211110000
χ2422222-122222222-1-1-12-2-2-2-2-1-1-1-122-1-1-1-1-1-12222-2-2-2-2-2-2000000001111-2-21111-1-1-1-1-1-111111100000000-2-21111000000000022-1-1-1-10000
χ2522222-122-2-2-2-222-1-1-122222-1-1-1-1-2-211-1-11122-2-2-2-2-2-22200000000-1-1-1-100−i3i3−i3i31111-1-11111-1-10000000000−i3i3−i3i3000000000000−i3i3−i3i30000
χ2622222-122-2-2-2-222-1-1-122222-1-1-1-1-2-211-1-11122-2-2-2-2-2-22200000000-1-1-1-100i3−i3i3−i31111-1-11111-1-10000000000i3−i3i3−i3000000000000i3−i3i3−i30000
χ2722222-122-2-2-2-222-1-1-12-2-2-2-2-1-1-1-1-2-211-1-11122-2-22222-2-200000000111100−i3i3−i3i31111-1-1-1-1-1-1110000000000−i3i3−i3i3000000000000i3−i3i3−i30000
χ2822222-122-2-2-2-222-1-1-12-2-2-2-2-1-1-1-1-2-211-1-11122-2-22222-2-200000000111100i3−i3i3−i31111-1-1-1-1-1-1110000000000i3−i3i3−i3000000000000−i3i3−i3i30000
χ2922222-1-2-222-2-222-1-1-122222-1-1-1-1221111-1-1-2-2-2-2-2-222-2-200000000-1-1-1-100−i3i3i3−i311-1-11111-1-1110000000000−i3i3i3−i3000000000000−i3i3i3−i30000
χ3022222-1-2-222-2-222-1-1-122222-1-1-1-1221111-1-1-2-2-2-2-2-222-2-200000000-1-1-1-100i3−i3−i3i311-1-11111-1-1110000000000i3−i3−i3i3000000000000i3−i3−i3i30000
χ3122222-1-2-222-2-222-1-1-12-2-2-2-2-1-1-1-1221111-1-1-2-2-2-222-2-22200000000111100−i3i3i3−i311-1-111-1-111-1-10000000000−i3i3i3−i3000000000000i3−i3−i3i30000
χ3222222-1-2-222-2-222-1-1-12-2-2-2-2-1-1-1-1221111-1-1-2-2-2-222-2-22200000000111100i3−i3−i3i311-1-111-1-111-1-10000000000i3−i3−i3i3000000000000−i3i3i3−i30000
χ3322222-1-2-2-2-22222-1-1-122222-1-1-1-1-2-2-1-11111-2-22222-2-2-2-200000000-1-1-1-12-2-1-111-1-11111-1-11111000000002-2-1-11100000000002-2-1-1110000
χ3422222-1-2-2-2-22222-1-1-122222-1-1-1-1-2-2-1-11111-2-22222-2-2-2-200000000-1-1-1-1-2211-1-1-1-11111-1-1111100000000-2211-1-10000000000-2211-1-10000
χ3522222-1-2-2-2-22222-1-1-12-2-2-2-2-1-1-1-1-2-2-1-11111-2-222-2-222220000000011112-2-1-111-1-1111111-1-1-1-1000000002-2-1-1110000000000-2211-1-10000
χ3622222-1-2-2-2-22222-1-1-12-2-2-2-2-1-1-1-1-2-2-1-11111-2-222-2-22222000000001111-2211-1-1-1-1111111-1-1-1-100000000-2211-1-100000000002-2-1-1110000
χ372222-12222222-1-1222-10000-1-1-1-1-1-1222222-1-1-1-1000000222222220000222222-1-1-1-1-1-1000000-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000022000000-1-100
χ382222-12222222-1-1222-10000-1-1-1-1-1-1222222-1-1-1-1000000222222220000-2-2-2-2-2-2-1-1-1-1-1-1000000-1-1-1-1-1-1-1-111111100000000-2-20000001100
χ392222-12222222-1-1222-10000-1-1-1-1-1-1222222-1-1-1-1000000-2-2-2-2-2-2-2-20000222222-1-1-1-1-1-100000011111111-1-1-1-1-1-100000000-2-20000001100
χ402222-12222222-1-1222-10000-1-1-1-1-1-1222222-1-1-1-1000000-2-2-2-2-2-2-2-20000-2-2-2-2-2-2-1-1-1-1-1-1000000111111111111110000000022000000-1-100
χ412222-12-2-2-2-222-1-1222-10000-1-1-1-11122-2-2-2-211-1-10000002222-2-2-2-200002-222-2-2-1-11111000000-1-1-1-11111-11-1-111000000002-2000000-1100
χ422222-12-2-2-2-222-1-1222-10000-1-1-1-11122-2-2-2-211-1-10000002222-2-2-2-20000-22-2-222-1-11111000000-1-1-1-111111-111-1-100000000-220000001-100
χ432222-12-2-2-2-222-1-1222-10000-1-1-1-11122-2-2-2-211-1-1000000-2-2-2-2222200002-222-2-2-1-111110000001111-1-1-1-1-11-1-11100000000-220000001-100
χ442222-12-2-2-2-222-1-1222-10000-1-1-1-11122-2-2-2-211-1-1000000-2-2-2-222220000-22-2-222-1-111110000001111-1-1-1-11-111-1-1000000002-2000000-1100
χ4522-2-22200002-22-22-2-2-222-2-222-2-2002-20000002-22-20000000022-2-222-2-20000002-200002-20000000022-2-2000000000022-2-2000000000000
χ4622-2-22200002-22-22-2-2-222-2-222-2-2002-20000002-22-200000000-2-22222-2-20000002-200002-200000000-2-2220000000000-2-222000000000000
χ4722-2-22200002-22-22-2-2-2-2-22222-2-2002-20000002-2-220000000022-2-2-2-2220000002-20000-220000000022-2-20000000000-2-222000000000000
χ4822-2-22200002-22-22-2-2-2-2-22222-2-2002-20000002-2-2200000000-2-222-2-2220000002-20000-2200000000-2-222000000000022-2-2000000000000
χ4922-2-2220000-222-22-2-2-222-2-222-2-200-22000000-22-22000022-2-2000022-2-2000000-220000-22000022-2-2000000000022-2-20000000000000000
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χ5122-2-2220000-222-22-2-2-2-2-22222-2-200-22000000-222-2000022-2-20000-2-222000000-2200002-2000022-2-20000000000-2-2220000000000000000
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χ532-22-2222-20000-2-2-22-222i−2i2i−2i2-2-2200002-2002-20000002i−2i2−22−22−22−22i−2i2i−2i00000000002-200002i−2i2−22−22−22−2000000−i2i2−i2i2−i2i2−i2i2000000000000
χ542-22-2222-20000-2-2-22-222i−2i2i−2i2-2-2200002-2002-20000002i−2i−22−22−22−222i−2i2i−2i00000000002-200002i−2i−22−22−22−22000000i2−i2i2−i2i2−i2i2−i2000000000000
χ552-22-2222-20000-2-2-22-22−2i2i−2i2i2-2-2200002-2002-2000000−2i2i2−22−22−22−2−2i2i−2i2i00000000002-20000−2i2i2−22−22−22−2000000i2−i2i2−i2i2−i2i2−i2000000000000
χ562-22-2222-20000-2-2-22-22−2i2i−2i2i2-2-2200002-2002-2000000−2i2i−22−22−22−22−2i2i−2i2i00000000002-20000−2i2i−22−22−22−22000000−i2i2−i2i2−i2i2−i2i2000000000000
χ572-22-222-220000-2-2-22-222i−2i2i−2i2-2-220000-2200-22000000−2i2i2−22−2−22−222i−2i2i−2i0000000000-220000−2i2i2−22−2−22−22000000−i2i2−i2i2i2−i2i2−i2000000000000
χ582-22-222-220000-2-2-22-222i−2i2i−2i2-2-220000-2200-22000000−2i2i−22−222−22−22i−2i2i−2i0000000000-220000−2i2i−22−222−22−2000000i2−i2i2−i2−i2i2−i2i2000000000000
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χ612-2-2222002-200-22-2-22-22i−2i−2i2i2-22-22-200002-20000002i−2i002−2−222−2−222i−2i−2i2i000000002-200002i−2i002−2−222−2−22000000−i2i2i2−i2−i2i2i2−i2000000000000
χ622-2-2222002-200-22-2-22-22i−2i−2i2i2-22-22-200002-20000002i−2i00−222−2−222−22i−2i−2i2i000000002-200002i−2i00−222−2−222−2000000i2−i2−i2i2i2−i2−i2i2000000000000
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χ642-2-2222002-200-22-2-22-2−2i2i2i−2i2-22-22-200002-2000000−2i2i00−222−2−222−2−2i2i2i−2i000000002-20000−2i2i00−222−2−222−2000000−i2i2i2−i2−i2i2i2−i2000000000000
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χ894-44-44-2-440000-4-42-2244i−4i4i−4i-222-200002-200-44000000−4i4i00000000−2i2i−2i2i00000000002-200002i−2i0000000000000000000000000000000000
χ904-44-44-2-440000-4-42-224−4i4i−4i4i-222-200002-200-440000004i−4i000000002i−2i2i−2i00000000002-20000−2i2i0000000000000000000000000000000000
χ914-44-4-244-4000022-44-4-20000-222-200004-400-220000000022−2222−2222−2222−2200000000000000-22000000−22−22−22−2200000000000000000000000000
χ924-44-4-244-4000022-44-4-20000-222-200004-400-2200000000−2222−2222−2222−222200000000000000-220000002−22−22−22−200000000000000000000000000
χ934-44-4-24-44000022-44-4-20000-222-20000-44002-20000000022−2222−22−2222−2222000000000000002-2000000−22−222−22−200000000000000000000000000
χ944-44-4-24-44000022-44-4-20000-222-20000-44002-200000000−2222−222222−2222−22000000000000002-20000002−22−2−22−2200000000000000000000000000
χ954-4-444-2004-400-4422-2-44i−4i−4i4i-22-224-40000-220000004i−4i0000000000−2i2i2i−2i00000000-220000−2i2i000000000000000000000000000000000000
χ964-4-444-2004-400-4422-2-4−4i4i4i−4i-22-224-40000-22000000−4i4i00000000002i−2i−2i2i00000000-2200002i−2i000000000000000000000000000000000000
χ974-4-444-200-4400-4422-2-44i−4i−4i4i-22-22-4400002-2000000−4i4i0000000000−2i2i2i−2i000000002-200002i−2i000000000000000000000000000000000000
χ984-4-444-200-4400-4422-2-4−4i4i4i−4i-22-22-4400002-20000004i−4i00000000002i−2i−2i2i000000002-20000−2i2i000000000000000000000000000000000000
χ994-4-44-24004-4002-2-4-4420000-22-22-2200004-4000000000022−22−222222−22−2222000000000000-2200000000−222−2−222−200000000000000000000000000
χ1004-4-44-24004-4002-2-4-4420000-22-22-2200004-40000000000−222222−22−222222−22000000000000-22000000002−2−222−2−2200000000000000000000000000
χ1014-4-44-2400-44002-2-4-4420000-22-222-20000-44000000000022−22−2222−222222−220000000000002-200000000−222−22−2−2200000000000000000000000000
χ1024-4-44-2400-44002-2-4-4420000-22-222-20000-440000000000−222222−2222−22−22220000000000002-2000000002−2−22−222−200000000000000000000000000
χ10388-8-8-4-400008-8-44-4444000022-2-200-44000000-440000000000000000000000002-200000000000000000000000000000000000000000000
χ10488-8-8-4-40000-88-44-4444000022-2-2004-40000004-4000000000000000000000000-2200000000000000000000000000000000000000000000
χ1058-88-8-4-48-80000444-44-400002-2-220000-4400-440000000000000000000000000000002-20000000000000000000000000000000000000000
χ1068-88-8-4-4-880000444-44-400002-2-2200004-4004-4000000000000000000000000000000-220000000000000000000000000000000000000000
χ1078-8-88-4-4008-8004-444-4400002-22-2-440000-440000000000000000000000000000002-2000000000000000000000000000000000000000000
χ1088-8-88-4-400-88004-444-4400002-22-24-400004-4000000000000000000000000000000-22000000000000000000000000000000000000000000

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