Finite Group Databasebeta

← Group #11887525

Character table — Group #11887525

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111222222222222222244444444444444444444444666666668888888888888888888812121212121212121212121212121212121224242424242424242424242424363636367272
order12222233446666666666344466666666612121212121212121212224488884121212121212121212121212121212121212124444668812122424242424242424244661212121212121212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-111-1-111-1-111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111-1-1111111111111-1-1-1-1111111111111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1-111-1-1-1-1-1-11111-1-1
χ6111111111111111111111-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-1-1-111
χ7111111111111111111111-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-111-1-111-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111111111-1-1
χ91111-1-111111-1-1-1-111111111-1-1-11-1-1-1-1111111111-1-1111-1-11111-111-1-1-1-1-111-1-11111-1-1-1-1-111111-1-1-1-11111-1-1-1-1-11-1-1-1-111111-1-1-1-111-11
χ101111-1-111111-1-1-1-111111111-1-1-11-1-1-1-1111111111-1-1111-1-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-11111-111-1-1-1111-1-11111-1-11-1
χ111111-1-111111-1-1-1-111111111-1-1-11-1-1-1-1111111111-1-11-1-1111111-111-1-1-1-1-111-1-11111-1-1-1-11-111-1-1-1-1111111-1-1-1-11-1-1111-1-1-111-1-111-1-11-1
χ121111-1-111111-1-1-1-111111111-1-1-11-1-1-1-1111111111-1-11-1-111-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-11-1-1-1-1-11111-1-1-1-111111-11111-1-1-1-1-111-1-111-11
χ131111-1-111111-1-1-1-1111111-1-1-1-1-11-1-1-1-11111-1-1-1-11-1-1111-1-111111-1-111-11111-1-1-1-1-1-11111-11-1-111-1-1-1-11111-1-1-1-11-1111-11-1-1-1-111-1-1111-1
χ141111-1-111111-1-1-1-1111111-1-1-1-1-11-1-1-1-11111-1-1-1-11-1-1111-1-1-1-1-1-11-1-111-11111-1-1-1-1-1-11111-11111111-1-1-1-1-1-111111-1-111-11-1-111-1-111-1-1-11
χ151111-1-111111-1-1-1-1111111-1-1-1-1-11-1-1-1-11111-1-1-1-11-1-11-1-11111111-1-111-11111-1-1-1-1-1-111111-1-1-1-1-1-1-1111111-1-1-1-1-111-1-11-111-1-11111-1-1-11
χ161111-1-111111-1-1-1-1111111-1-1-1-1-11-1-1-1-11111-1-1-1-11-1-11-1-111-1-1-1-11-1-111-11111-1-1-1-1-1-111111-111-1-11111-1-1-1-11111-11-1-1-11-11111-1-1-1-1111-1
χ1722222222-2-22222222222200-2222222222-2-20000-2-2-2-22222000000000-200-2-2-2-200000000-2-2002200220000000000000-2-2000000000000
χ1822222222-2-22222222222200-2222222222-2-20000-2-2-2-2-2-2-2-2000000000-200-2-2-2-2000000002200-2-200-2-2000000000000022000000000000
χ192222222-12222222-12-1-12-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222000022222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12200-1-100-1-100000000220-1-1-1-1-1-10000000000
χ202222222-12222222-12-1-12-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2000022222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20011001100000000-2-201111110000000000
χ212222222-12222222-12-1-12-1-2-22-1-1-1-1-1-1-1-1-1-1-11111222222220000-2-2-2-2-2-111-1-1-1-1111111112200-1-100-1-100000000-2-2011-1-1110000000000
χ222222222-12222222-12-1-12-1-2-22-1-1-1-1-1-1-1-1-1-1-111112222-2-2-2-20000-2-2-2-2-2-111-1-1-1-111111111-2-20011001100000000220-1-111-1-10000000000
χ232222222-1-2-222222-12-1-12-100-2-1-1-1-1-1-1-1-1-111−i3−i3i3i3-2-2-2-222220000000001−i3i31111−i3−i3i3i3−i3−i3i3i3-2-200-1-100-1-100000000000−i3i311−i3i30000000000
χ242222222-1-2-222222-12-1-12-100-2-1-1-1-1-1-1-1-1-111−i3−i3i3i3-2-2-2-2-2-2-2-20000000001−i3i31111−i3−i3i3i3−i3−i3i3i3220011001100000000000i3−i3-1-1i3−i30000000000
χ252222222-1-2-222222-12-1-12-100-2-1-1-1-1-1-1-1-1-111i3i3−i3−i3-2-2-2-222220000000001i3−i31111i3i3−i3−i3i3i3−i3−i3-2-200-1-100-1-100000000000i3−i311i3−i30000000000
χ262222222-1-2-222222-12-1-12-100-2-1-1-1-1-1-1-1-1-111i3i3−i3−i3-2-2-2-2-2-2-2-20000000001i3−i31111i3i3−i3−i3i3i3−i3−i3220011001100000000000−i3i3-1-1−i3i30000000000
χ27222222-1222-1-1-1-1-12-122-1-122222-1-1-1-1-1-1-1222222-1-1-1-1000022222-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-10022002200-1-1-1-1-1-1-1-1002000000-1-1-1-1000000
χ28222222-1222-1-1-1-1-12-122-1-122222-1-1-1-1-1-1-1222222-1-1-1-10000-2-2-2-22-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2001111111100-20000001111000000
χ29222222-1222-1-1-1-1-12-122-1-1-2-2222-1-1-1-1-1-1-122-2-2-2-2-1-1-1-100002222-211112-2-2-1-1-1-11111111100-2-2002200-1-1-1-1-1-1-1-100-20000001111000000
χ30222222-1222-1-1-1-1-12-122-1-1-2-2222-1-1-1-1-1-1-122-2-2-2-2-1-1-1-10000-2-2-2-2-211112-2-2-1-1-1-111111111002200-2-20011111111002000000-1-1-1-1000000
χ312222-2-222-2-22-2-2-2-2222222002-2-22-2-2-2-222-2-20000-222-222-2-2000000000200-2-222000000002-2002200-2-200000000000002-2000000000000
χ322222-2-222-2-22-2-2-2-2222222002-2-22-2-2-2-222-2-20000-222-2-2-222000000000200-2-22200000000-2200-2-200220000000000000-22000000000000
χ332222-2-22-1222-2-2-2-2-12-1-12-122-211-11111-1-1-1-1-1-1-1-12-2-2222-2-20000-222-2-2111-1-111-1-1-1-11111-2200-1-1001100000000-220111-1-1-10000000000
χ342222-2-22-1222-2-2-2-2-12-1-12-122-211-11111-1-1-1-1-1-1-1-12-2-22-2-2220000-222-2-2111-1-111-1-1-1-111112-2001100-1-1000000002-20-1-1-11110000000000
χ352222-2-22-1222-2-2-2-2-12-1-12-1-2-2-211-11111-1-1-1-111112-2-2222-2-200002-2-2221-1-1-1-1111111-1-1-1-1-2200-1-10011000000002-20-1-11-1110000000000
χ362222-2-22-1222-2-2-2-2-12-1-12-1-2-2-211-11111-1-1-1-111112-2-22-2-22200002-2-2221-1-1-1-1111111-1-1-1-12-2001100-1-100000000-22011-11-1-10000000000
χ372222-2-22-1-2-22-2-2-2-2-12-1-12-100211-11111-1-111−i3−i3i3i3-222-222-2-2000000000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i32-200-1-1001100000000000i3−i3-11−i3i30000000000
χ382222-2-22-1-2-22-2-2-2-2-12-1-12-100211-11111-1-111−i3−i3i3i3-222-2-2-222000000000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i3-22001100-1-100000000000−i3i31-1i3−i30000000000
χ392222-2-22-1-2-22-2-2-2-2-12-1-12-100211-11111-1-111i3i3−i3−i3-222-222-2-2000000000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i32-200-1-1001100000000000−i3i3-11i3−i30000000000
χ402222-2-22-1-2-22-2-2-2-2-12-1-12-100211-11111-1-111i3i3−i3−i3-222-2-2-222000000000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i3-22001100-1-100000000000i3−i31-1−i3i30000000000
χ412222-2-2-1222-111112-122-1-122-2-2-2-11111-1-1222222-111-100002222-2-1-111-2-2-2-1-111-1-1-1-11111002200-2-200-1-1-1-1111100-2000000-1-111000000
χ422222-2-2-1222-111112-122-1-122-2-2-2-11111-1-1222222-111-10000-2-2-2-2-2-1-111-2-2-2-1-111-1-1-1-1111100-2-20022001111-1-1-1-100200000011-1-1000000
χ432222-2-2-1222-111112-122-1-1-2-2-2-2-2-11111-1-122-2-2-2-2-111-100002222211-1-1-222-1-1111111-1-1-1-100-2-200-2-200-1-1-1-1111100200000011-1-1000000
χ442222-2-2-1222-111112-122-1-1-2-2-2-2-2-11111-1-122-2-2-2-2-111-10000-2-2-2-2211-1-1-222-1-1111111-1-1-1-100220022001111-1-1-1-100-2000000-1-111000000
χ4522-2-22-22200-222-2-2-22-22-220002-2-222-2-2-2200000000002-22-2−i2−i2i2i20000000000000000000000002-2−i2i22-2−i2−i2i2i2−i2−i2i2i20000000000000−i2i2−i2i200
χ4622-2-22-22200-222-2-2-22-22-220002-2-222-2-2-2200000000002-22-2i2i2−i2−i20000000000000000000000002-2i2−i22-2i2i2−i2−i2i2i2−i2−i20000000000000i2−i2i2−i200
χ4722-2-22-22200-222-2-2-22-22-220002-2-222-2-2-220000000000-22-22−i2−i2i2i2000000000000000000000000-22−i2i2-22−i2−i2i2i2−i2−i2i2i20000000000000i2−i2i2−i200
χ4822-2-22-22200-222-2-2-22-22-220002-2-222-2-2-220000000000-22-22i2i2−i2−i2000000000000000000000000-22i2−i2-22i2i2−i2−i2i2i2−i2−i20000000000000−i2i2−i2i200
χ4922-2-2-222200-2-2-222-22-22-22000-22-2-2-222-2200000000002-2-22−i2−i2i2i20000000000000000000000002-2i2−i2-22−i2−i2i2i2i2i2−i2−i20000000000000i2−i2−i2i200
χ5022-2-2-222200-2-2-222-22-22-22000-22-2-2-222-2200000000002-2-22i2i2−i2−i20000000000000000000000002-2−i2i2-22i2i2−i2−i2−i2−i2i2i20000000000000−i2i2i2−i200
χ5122-2-2-222200-2-2-222-22-22-22000-22-2-2-222-220000000000-222-2−i2−i2i2i2000000000000000000000000-22i2−i22-2−i2−i2i2i2i2i2−i2−i20000000000000−i2i2i2−i200
χ5222-2-2-222200-2-2-222-22-22-22000-22-2-2-222-220000000000-222-2i2i2−i2−i2000000000000000000000000-22−i2i22-2i2i2−i2−i2−i2−i2i2i20000000000000i2−i2−i2i200
χ532-2-2200222-2-20000-2-22-2222i−2i000-200002-22-22i−2i2i−2i200-200002i−2i2i−2i02i−2i000002-2002i−2i2i−2i0000002-20000002i−2i2i−2i00000000000002-200000000
χ542-2-2200222-2-20000-2-22-2222i−2i000-200002-22-22i−2i2i−2i200-20000−2i2i−2i2i02i−2i000002-2002i−2i2i−2i000000-22000000−2i2i−2i2i0000000000000-2200000000
χ552-2-2200222-2-20000-2-22-222−2i2i000-200002-22-2−2i2i−2i2i200-200002i−2i2i−2i0−2i2i000002-200−2i2i−2i2i000000-220000002i−2i2i−2i0000000000000-2200000000
χ562-2-2200222-2-20000-2-22-222−2i2i000-200002-22-2−2i2i−2i2i200-20000−2i2i−2i2i0−2i2i000002-200−2i2i−2i2i0000002-2000000−2i2i−2i2i00000000000002-200000000
χ572-2-2200-122-21−i3i3−i3i3-212-2-1-12i−2i0001−i3i3−i3i3-112-22i−2i2i−2i-1−i3i3100002i−2i2i−2i0−ii3−3000-11−i3i3−ii−ii3−33−3002-2000000−ii−ii3−33−3000000000-11−i3i3000000
χ582-2-2200-122-21−i3i3−i3i3-212-2-1-12i−2i0001−i3i3−i3i3-112-22i−2i2i−2i-1−i3i310000−2i2i−2i2i0−ii3−3000-11−i3i3−ii−ii3−33−300-22000000i−ii−i−33−330000000001-1i3−i3000000
χ592-2-2200-122-21−i3i3−i3i3-212-2-1-1−2i2i0001−i3i3−i3i3-112-2−2i2i−2i2i-1−i3i3100002i−2i2i−2i0i−i−33000-11−i3i3i−ii−i−33−3300-22000000−ii−ii3−33−30000000001-1i3−i3000000
χ602-2-2200-122-21−i3i3−i3i3-212-2-1-1−2i2i0001−i3i3−i3i3-112-2−2i2i−2i2i-1−i3i310000−2i2i−2i2i0i−i−33000-11−i3i3i−ii−i−33−33002-2000000i−ii−i−33−33000000000-11−i3i3000000
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χ69444444-2-2-4-4-2-2-2-2-2-2-2-2-2-2100-4-2-21111111222i32i3−2i3−2i32222000000000000022i3−2i3-1-1-1-1−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000000
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χ724444-4-4-2-244-22222-2-2-2-2-21-4-4-4221-1-1-1-111-2-22222-222-200000000422-2-22-2-211-1-1-1-1-1-111110000000000000000000000000000000000000
χ734444-4-4-2-2-4-4-22222-2-2-2-2-21004221-1-1-1-11122−2i3−2i32i32i32-2-220000000000000-22i3−2i3-1-111i3i3−i3−i3−i3−i3i3i30000000000000000000000000000000000000
χ744444-4-4-2-2-4-4-22222-2-2-2-2-21004221-1-1-1-111222i32i3−2i3−2i32-2-220000000000000-2−2i32i3-1-111−i3−i3i3i3i3i3−i3−i30000000000000000000000000000000000000
χ7544-4-44-44-200-444-4-4242-2-4-2000-222-2-2222-200000000004-44-40000000000000000000000000000-2200-22000000000000000000000000000
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χ7844-4-44-4-24002-2-222-4-2-442-20004-42-2-2222-2000000000000002i22i2−2i2−2i2000000000000000000000000002i2−2i200−i2−i2i2i2−i2−i2i2i20000000000000000000
χ7944-4-4-444-200-4-4-444242-2-4-20002-2222-2-22-200000000004-4-440000000000000000000000000000-22002-2000000000000000000000000000
χ8044-4-4-444-200-4-4-444242-2-4-20002-2222-2-22-20000000000-444-400000000000000000000000000002-200-22000000000000000000000000000
χ8144-4-4-44-2400222-2-2-4-2-442-2000-44222-2-22-200000000000000−2i2−2i22i22i2000000000000000000000000002i2−2i200i2i2−i2−i2−i2−i2i2i20000000000000000000
χ8244-4-4-44-2400222-2-2-4-2-442-2000-44222-2-22-2000000000000002i22i2−2i2−2i200000000000000000000000000−2i22i200−i2−i2i2i2i2i2−i2−i20000000000000000000
χ834-44-4004400400004-4-4-4-440000040000-4-40000000000000022−22−222200000000000000000000000000000022−22−222200000000000000000000000
χ844-44-4004400400004-4-4-4-440000040000-4-400000000000000−222222−22000000000000000000000000000000−222222−2200000000000000000000000
χ854-44-400-2400-2−2i32i32i3−2i342-4-42-200000-2−2i32i32i3−2i3220000000000000022−22−2222000000000000000000000000000000−222−2−i6i6i6−i60000000000000000000
χ864-44-400-2400-2−2i32i32i3−2i342-4-42-200000-2−2i32i32i3−2i32200000000000000−222222−220000000000000000000000000000002−2−22i6−i6−i6i60000000000000000000
χ874-44-400-2400-22i3−2i3−2i32i342-4-42-200000-22i3−2i3−2i32i3220000000000000022−22−2222000000000000000000000000000000−222−2i6−i6−i6i60000000000000000000
χ884-44-400-2400-22i3−2i3−2i32i342-4-42-200000-22i3−2i3−2i32i32200000000000000−222222−220000000000000000000000000000002−2−22−i6i6i6−i60000000000000000000
χ894-4-440044-44-40000-4-44-44400000-400004-4-440000-40040000000000000000-4400000000000000000000000000000000000000000000000
χ904-4-44004-24-4-400002-4-224-24i−4i00020000-22-22−2i2i−2i2i400-40000000004i−4i00000-2200−2i2i−2i2i00000000000000000000000000000000000000000
χ914-4-44004-24-4-400002-4-224-2−4i4i00020000-22-222i−2i2i−2i400-4000000000−4i4i00000-22002i−2i2i−2i00000000000000000000000000000000000000000
χ924-4-44004-2-44-400002-4-224-20000020000-222-223−23−2323-400400000000000000002-20023−23−232300000000000000000000000000000000000000000
χ934-4-44004-2-44-400002-4-224-20000020000-222-2−232323−23-400400000000000000002-200−232323−2300000000000000000000000000000000000000000
χ944-4-4400-24-442−2i32i3−2i32i3-424-4-2-2000002−2i32i3−2i32i3-22-44000022i3−2i3-200000000000000002-22i3−2i3000000000000000000000000000000000000000000000
χ954-4-4400-24-4422i3−2i32i3−2i3-424-4-2-20000022i3−2i32i3−2i3-22-4400002−2i32i3-200000000000000002-2−2i32i3000000000000000000000000000000000000000000000
χ964-4-4400-2-24-42−2i32i3−2i32i322-22-214i−4i000-1i3−i3i3−i31-1-22−2i2i−2i2i-2−2i32i32000000000−2i2i23−230001-1i3−i3i−ii−i−33−330000000000000000000000000000000000000
χ974-4-4400-2-24-42−2i32i3−2i32i322-22-21−4i4i000-1i3−i3i3−i31-1-222i−2i2i−2i-2−2i32i320000000002i−2i−23230001-1i3−i3−ii−ii3−33−30000000000000000000000000000000000000
χ984-4-4400-2-24-422i3−2i32i3−2i322-22-214i−4i000-1−i3i3−i3i31-1-22−2i2i−2i2i-22i3−2i32000000000−2i2i−23230001-1−i3i3i−ii−i3−33−30000000000000000000000000000000000000
χ994-4-4400-2-24-422i3−2i32i3−2i322-22-21−4i4i000-1−i3i3−i3i31-1-222i−2i2i−2i-22i3−2i320000000002i−2i23−230001-1−i3i3−ii−ii−33−330000000000000000000000000000000000000
χ1004-4-4400-2-2-442−2i32i3−2i32i322-22-2100000-1i3−i3i3−i31-12-223−23−232322i3−2i3-20000000000000000-11−i3i3−333−3−3i3i3i−3i0000000000000000000000000000000000000
χ1014-4-4400-2-2-442−2i32i3−2i32i322-22-2100000-1i3−i3i3−i31-12-2−232323−2322i3−2i3-20000000000000000-11−i3i33−3−333i−3i−3i3i0000000000000000000000000000000000000
χ1024-4-4400-2-2-4422i3−2i32i3−2i322-22-2100000-1−i3i3−i3i31-12-223−23−23232−2i32i3-20000000000000000-11i3−i3−333−33i−3i−3i3i0000000000000000000000000000000000000
χ1034-4-4400-2-2-4422i3−2i32i3−2i322-22-2100000-1−i3i3−i3i31-12-2−232323−232−2i32i3-20000000000000000-11i3−i33−3−33−3i3i3i−3i0000000000000000000000000000000000000
χ10488-8-88-8-4-4004-4-4444-44-442000-44-222-2-2-22000000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-88-4-400444-4-44-44-4420004-4-2-2-222-22000000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8008-40080000-4-844-8-400000-4000044000000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-800-4-400-4−4i34i34i3−4i3-4444420000022i3−2i3−2i32i3-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-800-4-400-44i3−4i3−4i34i3-444442000002−2i32i32i3−2i3-2-2000000000000000000000000000000000000000000000000000000000000000000000000000

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