Finite Group Databasebeta

← Group #11887532

Character table — Group #11887532

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111222222222222222244444444444444444444444666666668888888888888888888812121212121212121212121212121212121224242424242424242424242424363636367272
order1222223344666666666634446666666661212121212121212121222448888412121212121212121212121212121212121212444466881212242424242424242444412121212121212121212888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111-1111-1-1-1-1111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-111-1-111-1-111111111-1-11-1-1-11111-1-1-1-1-1-1-1-1-1
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
χ51111111111111111111111-1-111111111111111-1-1-1-1111111111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-1-111111111111111-1-1-11-1-1-1-1-1-11-1-11111-1-1
χ61111111111111111111111-1-111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111-1-111111-1-1-1-1-1-111
χ71111111111111111111111-1-111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-111-1-1-1-1-111-1-1-1-111
χ81111111111111111111111-1-111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1111111-1111111-1-1
χ91111-1-111111-1-1-1-1111111-111-1-111-1-1-1-111-1-1111111111-1-11111-111-1-1-1-1-111-1-11111-1-1-1-1-111111-1-1-1-11111-1-1-1-1-11-1-1-1-111-1-1111-1-111-11
χ101111-1-111111-1-1-1-1111111-111-1-111-1-1-1-111-1-1111111111-1-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-11111-111-1-1-1-1-11111111-1-11-1
χ111111-1-111111-1-1-1-1111111-111-1-111-1-1-1-111-1-11111111-1-1111111-111-1-1-1-1-111-1-11111-1-1-1-11-111-1-1-1-1111111-1-1-1-11-1-111111-1-1-1-1-111-1-11-1
χ121111-1-111111-1-1-1-1111111-111-1-111-1-1-1-111-1-11111111-1-111-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-11-1-1-1-1-11111-1-1-1-111111-11111-1-111-1-1-1-1-111-11
χ131111-1-111111-1-1-1-1111111-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1111-1-111111-1-111-11111-1-1-1-1-1-11111-11-1-111-1-1-1-11111-1-1-1-11-11-111-1-1111-1-1-1-1111-1
χ141111-1-111111-1-1-1-1111111-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1111-1-1-1-1-1-11-1-111-11111-1-1-1-1-1-11111-11111111-1-1-1-1-1-111111-1-1-11111-1-11-1-111-1-1-11
χ151111-1-111111-1-1-1-1111111-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11-1-11111111-1-111-11111-1-1-1-1-1-111111-1-1-1-1-1-1-1111111-1-1-1-1-1111-1-1-1-111-11111-1-1-11
χ161111-1-111111-1-1-1-1111111-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11-1-111-1-1-1-11-1-111-11111-1-1-1-1-1-111111-111-1-11111-1-1-1-11111-11-11-1-111-1-1-111-1-1111-1
χ1722222222-2-222222222222-200222222222-2-2-2-2-20000-22222000000000-200-2-2-2-200000000-2-20022002200000000000-2000000-200000000
χ1822222222-2-222222222222-200222222222-2-2-2-2-20000-2-2-2-2-2000000000-200-2-2-2-2000000002200-2-200-2-2000000000002000000200000000
χ192222222-12222222-12-12-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122222000022222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12200-1-100-1-100000000220-1-1-10000-1-1-1000000
χ202222222-12222222-12-12-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-12-2-2-2-2000022222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20011001100000000-2-201110000111000000
χ212222222-12222222-12-12-1-12-2-2-1-1-1-1-1-1-1-1-1222-1-11111222220000-2-2-2-2-2-111-1-1-1-1111111112200-1-100-1-100000000-2-20-1110000-111000000
χ222222222-12222222-12-12-1-12-2-2-1-1-1-1-1-1-1-1-1222-1-111112-2-2-2-20000-2-2-2-2-2-111-1-1-1-111111111-2-200110011000000002201-1-100001-1-1000000
χ232222222-1-2-222222-12-12-1-1-200-1-1-1-1-1-1-1-1-1-2-2-211−i3−i3i3i3-222220000000001−i3i31111−i3−i3i3i3−i3−i3i3i3-2-200-1-100-1-1000000000001−i3i300001−i3i3000000
χ242222222-1-2-222222-12-12-1-1-200-1-1-1-1-1-1-1-1-1-2-2-211−i3−i3i3i3-2-2-2-2-20000000001−i3i31111−i3−i3i3i3−i3−i3i3i3220011001100000000000-1i3−i30000-1i3−i3000000
χ252222222-1-2-222222-12-12-1-1-200-1-1-1-1-1-1-1-1-1-2-2-211i3i3−i3−i3-222220000000001i3−i31111i3i3−i3−i3i3i3−i3−i3-2-200-1-100-1-1000000000001i3−i300001i3−i3000000
χ262222222-1-2-222222-12-12-1-1-200-1-1-1-1-1-1-1-1-1-2-2-211i3i3−i3−i3-2-2-2-2-20000000001i3−i31111i3i3−i3−i3i3i3−i3−i3220011001100000000000-1−i3i30000-1−i3i3000000
χ27222222-1222-1-1-1-1-12-12-12-122222-1-1-1-1-1-1-1-1-1-1222222-1000022222-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-10022002200-1-1-1-1-1-1-1-1002000-1-1-1-1000000000
χ28222222-1222-1-1-1-1-12-12-12-122222-1-1-1-1-1-1-1-1-1-1222222-10000-2-2-2-22-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2001111111100-20001111000000000
χ29222222-1222-1-1-1-1-12-12-12-12-2-222-1-1-1-1-1-1-1-1-1-122-2-2-2-2-100002222-211112-2-2-1-1-1-11111111100-2-2002200-1-1-1-1-1-1-1-100-20001111000000000
χ30222222-1222-1-1-1-1-12-12-12-12-2-222-1-1-1-1-1-1-1-1-1-122-2-2-2-2-10000-2-2-2-2-211112-2-2-1-1-1-111111111002200-2-20011111111002000-1-1-1-1000000000
χ312222-2-222-2-22-2-2-2-2222222200-2-222-2-2-2-22-222-2-20000-222-2-2000000000200-2-222000000002-2002200-2-2000000000002000000-200000000
χ322222-2-222-2-22-2-2-2-2222222200-2-222-2-2-2-22-222-2-20000-2-2-222000000000200-2-22200000000-2200-2-2002200000000000-2000000200000000
χ332222-2-22-1222-2-2-2-2-12-12-1-1-22211-1-11111-12-2-2-1-1-1-1-1-1222-2-20000-222-2-2111-1-111-1-1-1-11111-2200-1-1001100000000-2201110000-1-1-1000000
χ342222-2-22-1222-2-2-2-2-12-12-1-1-22211-1-11111-12-2-2-1-1-1-1-1-12-2-2220000-222-2-2111-1-111-1-1-1-111112-2001100-1-1000000002-20-1-1-10000111000000
χ352222-2-22-1222-2-2-2-2-12-12-1-1-2-2-211-1-11111-12-2-2-1-11111222-2-200002-2-2221-1-1-1-1111111-1-1-1-1-2200-1-10011000000002-201-1-10000-111000000
χ362222-2-22-1222-2-2-2-2-12-12-1-1-2-2-211-1-11111-12-2-2-1-111112-2-22200002-2-2221-1-1-1-1111111-1-1-1-12-2001100-1-100000000-220-11100001-1-1000000
χ372222-2-22-1-2-22-2-2-2-2-12-12-1-120011-1-11111-1-22211−i3−i3i3i3-222-2-2000000000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i32-200-1-1001100000000000-1i3−i300001−i3i3000000
χ382222-2-22-1-2-22-2-2-2-2-12-12-1-120011-1-11111-1-22211−i3−i3i3i3-2-2-222000000000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i3-22001100-1-1000000000001−i3i30000-1i3−i3000000
χ392222-2-22-1-2-22-2-2-2-2-12-12-1-120011-1-11111-1-22211i3i3−i3−i3-222-2-2000000000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i32-200-1-1001100000000000-1−i3i300001i3−i3000000
χ402222-2-22-1-2-22-2-2-2-2-12-12-1-120011-1-11111-1-22211i3i3−i3−i3-2-2-222000000000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i3-22001100-1-1000000000001i3−i30000-1−i3i3000000
χ412222-2-2-1222-111112-12-12-1-222-2-2-1-11111-1-111222222-100002222-2-1-111-2-2-2-1-111-1-1-1-11111002200-2-200-1-1-1-1111100-2000-1-111000000000
χ422222-2-2-1222-111112-12-12-1-222-2-2-1-11111-1-111222222-10000-2-2-2-2-2-1-111-2-2-2-1-111-1-1-1-1111100-2-20022001111-1-1-1-100200011-1-1000000000
χ432222-2-2-1222-111112-12-12-1-2-2-2-2-2-1-11111-1-11122-2-2-2-2-100002222211-1-1-222-1-1111111-1-1-1-100-2-200-2-200-1-1-1-1111100200011-1-1000000000
χ442222-2-2-1222-111112-12-12-1-2-2-2-2-2-1-11111-1-11122-2-2-2-2-10000-2-2-2-2211-1-1-222-1-1111111-1-1-1-100220022001111-1-1-1-100-2000-1-111000000000
χ452-22-200222-2-20000-22-2-22202-200-2-2000022002-22-22-2-200002i2i−2i−2i02-2000002-2002-22-20000002i−2i0000002i2i−2i−2i00000000002i−2i00000000000
χ462-22-200222-2-20000-22-2-22202-200-2-2000022002-22-22-2-20000−2i−2i2i2i02-2000002-2002-22-2000000−2i2i000000−2i−2i2i2i0000000000−2i2i00000000000
χ472-22-200222-2-20000-22-2-2220-2200-2-2000022002-2-22-22-200002i2i−2i−2i0-22000002-200-22-22000000−2i2i0000002i2i−2i−2i0000000000−2i2i00000000000
χ482-22-200222-2-20000-22-2-2220-2200-2-2000022002-2-22-22-20000−2i−2i2i2i0-22000002-200-22-220000002i−2i000000−2i−2i2i2i00000000002i−2i00000000000
χ492-22-200-122-21−i3−i3i3i3-2-1-212-102-20011−i3−i3i3i3-1-1−i3i32-22-22-2100002i2i−2i−2i0-11−i3i3000-11−i3i3-11-11−i3i3−i3i3002i−2i000000−i−iii33−3−3000000−ii3−3000000000
χ502-22-200-122-21−i3−i3i3i3-2-1-212-102-20011−i3−i3i3i3-1-1−i3i32-22-22-210000−2i−2i2i2i0-11−i3i3000-11−i3i3-11-11−i3i3−i3i300−2i2i000000ii−i−i−3−333000000i−i−33000000000
χ512-22-200-122-21−i3−i3i3i3-2-1-212-10-220011−i3−i3i3i3-1-1−i3i32-2-22-22100002i2i−2i−2i01-1i3−i3000-11−i3i31-11-1i3−i3i3−i300−2i2i000000−i−iii33−3−3000000i−i−33000000000
χ522-22-200-122-21−i3−i3i3i3-2-1-212-10-220011−i3−i3i3i3-1-1−i3i32-2-22-2210000−2i−2i2i2i01-1i3−i3000-11−i3i31-11-1i3−i3i3−i3002i−2i000000ii−i−i−3−333000000−ii3−3000000000
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χ562-22-200-122-21i3i3−i3−i3-2-1-212-10-220011i3i3−i3−i3-1-1i3−i32-2-22-2210000−2i−2i2i2i01-1−i3i3000-11i3−i31-11-1−i3i3−i3i3002i−2i000000ii−i−i33−3−3000000−ii−33000000000
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χ602-2-222-22200-22-22-22-2-22-220002-22-22-22-2-20000000000-22-22i2−i2i2−i2000000000000000000000000-22i2−i2-22i2−i2i2−i2i2−i2i2−i20000000000000−i2i2−i2i200
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χ744444-4-4-2-2-4-4-22222-2-2-2-2-214002211-1-1-1-112-2-2222i32i3−2i3−2i320000000000000-2−2i32i3-1-111−i3−i3i3i3i3i3−i3−i30000000000000000000000000000000000000
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χ854-44-4004-2-44-40000242-4-2-200000220000-2-4002-22i3−2i3−2i32i3400000000000000002-2002i3−2i3−2i32i300000000000000000000000000000000000000000
χ864-44-400-24-442−2i3−2i32i32i3-4-2-424-20000022−2i3−2i32i32i3-222i3−2i3-440000-200000000000000002-22i3−2i3000000000000000000000000000000000000000000000
χ874-44-400-24-4422i32i3−2i3−2i3-4-2-424-200000222i32i3−2i3−2i3-22−2i32i3-440000-200000000000000002-2−2i32i3000000000000000000000000000000000000000000000
χ884-44-400-2-24-42−2i3−2i32i32i32-222-2104-400-1-1i3i3−i3−i31-2−2i32i3-22-22-222000000000-22−2i32i30001-1i3−i31-11-1i3−i3i3−i30000000000000000000000000000000000000
χ894-44-400-2-24-42−2i3−2i32i32i32-222-210-4400-1-1i3i3−i3−i31-2−2i32i3-222-22-220000000002-22i3−2i30001-1i3−i3-11-11−i3i3−i3i30000000000000000000000000000000000000
χ904-44-400-2-24-422i32i3−2i3−2i32-222-2104-400-1-1−i3−i3i3i31-22i3−2i3-22-22-222000000000-222i3−2i30001-1−i3i31-11-1−i3i3−i3i30000000000000000000000000000000000000
χ914-44-400-2-24-422i32i3−2i3−2i32-222-210-4400-1-1−i3−i3i3i31-22i3−2i3-222-22-220000000002-2−2i32i30001-1−i3i3-11-11i3−i3i3−i30000000000000000000000000000000000000
χ924-44-400-2-2-442−2i3−2i32i32i32-222-2100000-1-1i3i3−i3−i3122i3−2i32-2−2i32i32i3−2i3-20000000000000000-11−i3i3i3−i3−i3i3-333-30000000000000000000000000000000000000
χ934-44-400-2-2-442−2i3−2i32i32i32-222-2100000-1-1i3i3−i3−i3122i3−2i32-22i3−2i3−2i32i3-20000000000000000-11−i3i3−i3i3i3−i33-3-330000000000000000000000000000000000000
χ944-44-400-2-2-4422i32i3−2i3−2i32-222-2100000-1-1−i3−i3i3i312−2i32i32-2−2i32i32i3−2i3-20000000000000000-11i3−i3i3−i3−i3i33-3-330000000000000000000000000000000000000
χ954-44-400-2-2-4422i32i3−2i3−2i32-222-2100000-1-1−i3−i3i3i312−2i32i32-22i3−2i3−2i32i3-20000000000000000-11i3−i3−i3i3i3−i3-333-30000000000000000000000000000000000000
χ964-4-444-44-200-44-44-4-2-4242-2000-22-22-22-22200000000004-44-40000000000000000000000000000-2200-22000000000000000000000000000
χ974-4-444-44-200-44-44-4-2-4242-2000-22-22-22-2220000000000-44-4400000000000000000000000000002-2002-2000000000000000000000000000
χ984-4-444-4-24002-22-2242-4-2-4-20004-4-22-22-22200000000000000−2i22i2−2i22i200000000000000000000000000−2i22i200i2−i2i2−i2i2−i2i2−i20000000000000000000
χ994-4-444-4-24002-22-2242-4-2-4-20004-4-22-22-222000000000000002i2−2i22i2−2i2000000000000000000000000002i2−2i200−i2i2−i2i2−i2i2−i2i20000000000000000000
χ1004-4-44-444-200-4-44-44-2-4242-20002-2-222-22-2200000000004-4-440000000000000000000000000000-22002-2000000000000000000000000000
χ1014-4-44-444-200-4-44-44-2-4242-20002-2-222-22-220000000000-444-400000000000000000000000000002-200-22000000000000000000000000000
χ1024-4-44-44-240022-22-242-4-2-4-2000-44-222-22-2200000000000000−2i22i2−2i22i2000000000000000000000000002i2−2i200i2−i2i2−i2−i2i2−i2i20000000000000000000
χ1034-4-44-44-240022-22-242-4-2-4-2000-44-222-22-22000000000000002i2−2i22i2−2i200000000000000000000000000−2i22i200−i2i2−i2i2i2−i2i2−i20000000000000000000
χ10488-8-8008-400800004-8-4-84-4000004-400004000000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-800-4-400-4−4i34i34i3−4i344-444200000-222i3−2i3−2i32i3-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-800-4-400-44i3−4i3−4i34i344-444200000-22−2i32i32i3−2i3-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-888-8-4-4004-44-44-444-442000-442-22-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-88-4-40044-44-4-444-4420004-42-2-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000000

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