Finite Group Databasebeta

← Group #11885824

Character table — Group #11885824

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111222222222222222244444444444444444444444666666668888888888888888888812121212121212121212121212121212121224242424242424242424242424363636367272
order1222334444666666121212122223666666666121212121212121212122244888846666666661212121212121212121222446688121224242424242424242446666121212121212888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-11-11-1-1111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-111-1-111111111-11-111-1-1-1-1-1-111-1-1-1-1-1-1
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
χ5111111111111111111111-1-1111-1-1-1-1111111111111111111111-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ6111111111111111111111-1-1111-1-1-1-111111111111111111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-11-111-1-111-1-111-1-1-1-111
χ7111111111111111111111-1-1111-1-1-1-11111111111111-1-1-1-11111-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1111111111-11-1-111-1-111-1-1-1-1-1-111
χ8111111111111111111111-1-1111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111111111-1-1
χ9111111-1-111111111-1-1-1-1-1111-1-1111111111-1-11-1-1-1-1111-1-11111-111-1-1-11111-1-1-1-111-1-1-1-111-1111-1-1-1-11111-1-1-1-11-1-11111-11-1-1-1-1-1-1111-1
χ10111111-1-111111111-1-1-1-1-1111-1-1111111111-1-11-1-1-1-1111-1-1-1-1-1-1-111-1-1-11111-1-1-1-111-1-1-1-1-1-1-111111-1-1-1-1-1-1111111-1-1-111-11-1-11111-1-1-11
χ11111111-1-111111111-1-1-1-1-1111-1-1111111111-1-11-1-1-1-11-1-1111111-111-1-1-11111-1-1-1-111-1-1-1-1111-1-1-1-1-1111111-1-1-1-1-1-1111-1-11-111-1-111-1-1-11
χ12111111-1-111111111-1-1-1-1-1111-1-1111111111-1-11-1-1-1-11-1-111-1-1-1-1-111-1-1-11111-1-1-1-111-1-1-1-1-1-11-1-1-11111-1-1-1-11111-111-1-1-1-11-11111-1-1111-1
χ13111111-1-111111111-1-1-1-1-1-1-11-1-1-1-1-1-111111-1-11-1-1-1-1111-1-111111-1-1-1-1-1-1-1-1-11111111111-1-1-1111-1-1-1-11111-1-1-1-1-111-1-1-1-1-111111-1-111-11
χ14111111-1-111111111-1-1-1-1-1-1-11-1-1-1-1-1-111111-1-11-1-1-1-1111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1111111111111-111111-1-1-1-1-1-11111-1-1111-1-1-1111-1-111-1-11-1
χ15111111-1-111111111-1-1-1-1-1-1-11-1-1-1-1-1-111111-1-11-1-1-1-11-1-11111111-1-1-1-1-1-1-1-1-11111111111-1-11-1-1-1-1-1111111-1-1-1-111-1-1-1111-1-1-11111-1-11-1
χ16111111-1-111111111-1-1-1-1-1-1-11-1-1-1-1-1-111111-1-11-1-1-1-11-1-111-1-1-1-11-1-1-1-1-1-1-1-1-11111111111111-1-1-11111-1-1-1-111111-1-111111-1-1-1-1-1-1-111-11
χ1722222222-2-22222222222-2002-2-20000222-2-222-22222-222220000000-2-2-200000000-2-2000000-2-2220022000000000000000-2-20000000000
χ1822222222-2-22222222222-2002-2-20000222-2-222-22222-2-2-2-2-20000000-2-2-200000000-2-200000022-2-200-2-2000000000000000220000000000
χ19222222-2-2-2-2222222-2-2-2-22002220000222-2-2-2-2-2-2-2-2-2-222-2-2000000022200000000-2-20000002-22200-2-20000000000000002-20000000000
χ20222222-2-2-2-2222222-2-2-2-22002220000222-2-2-2-2-2-2-2-2-2-2-2-222000000022200000000-2-2000000-22-2-20022000000000000000-220000000000
χ2122222-1222222-1-1-122222222-122-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1222220000222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-10022-1-100-1-10000000020200-1-1-1-1-1-100000000
χ2222222-1222222-1-1-122222222-122-1-1-1-1-1-1-1-1-1-1-12-1-1-1-12-2-2-2-20000222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-100-2-211001100000000-20-20011111100000000
χ2322222-1222222-1-1-1222222-2-2-1221111-1-1-1-1-1-1-12-1-1-1-1222220000-2-2-2-1-1-1111111-2-2-1-111110022-1-100-1-100000000-20-20011-1-11100000000
χ2422222-1222222-1-1-1222222-2-2-1221111-1-1-1-1-1-1-12-1-1-1-12-2-2-2-20000-2-2-2-1-1-1111111-2-2-1-1111100-2-21100110000000020200-1-111-1-100000000
χ2522222-122-2-222-1-1-122222-200-1-2-2−i3−i3i3i3-1-1-111-1-1-2-1-1-1-1-222220000000111−i3−i3i3i3−i3i30011−i3−i3i3i300-2-2-1-100-1-10000000000000−i3i311−i3i300000000
χ2622222-122-2-222-1-1-122222-200-1-2-2−i3−i3i3i3-1-1-111-1-1-2-1-1-1-1-2-2-2-2-20000000111−i3−i3i3i3−i3i30011−i3−i3i3i300221100110000000000000i3−i3-1-1i3−i300000000
χ2722222-122-2-222-1-1-122222-200-1-2-2i3i3−i3−i3-1-1-111-1-1-2-1-1-1-1-222220000000111i3i3−i3−i3i3−i30011i3i3−i3−i300-2-2-1-100-1-10000000000000i3−i311i3−i300000000
χ2822222-122-2-222-1-1-122222-200-1-2-2i3i3−i3−i3-1-1-111-1-1-2-1-1-1-1-2-2-2-2-20000000111i3i3−i3−i3i3−i30011i3i3−i3−i300221100110000000000000−i3i3-1-1−i3i300000000
χ2922222-1-2-22222-1-1-12-2-2-2-2-222-1-2-2-1-1-1-1-1-1-1-1-11121111222-2-20000-222111-1-1-1-111-2-2-1-1111100-22-1-100110000000020-200-1-11-11100000000
χ3022222-1-2-22222-1-1-12-2-2-2-2-222-1-2-2-1-1-1-1-1-1-1-1-111211112-2-2220000-222111-1-1-1-111-2-2-1-11111002-21100-1-100000000-2020011-11-1-100000000
χ3122222-1-2-22222-1-1-12-2-2-2-2-2-2-2-1-2-21111-1-1-1-1-11121111222-2-200002-2-21111111-1-122-1-1-1-1-1-100-22-1-1001100000000-20200111-1-1-100000000
χ3222222-1-2-22222-1-1-12-2-2-2-2-2-2-2-1-2-21111-1-1-1-1-111211112-2-22200002-2-21111111-1-122-1-1-1-1-1-1002-21100-1-10000000020-200-1-1-111100000000
χ3322222-1-2-2-2-222-1-1-12-2-2-2-2200-122−i3−i3i3i3-1-1-11111-21111-222-2-20000000-1-1-1−i3−i3i3i3i3−i30011i3i3−i3−i3002-2-1-100110000000000000−i3i3-11i3−i300000000
χ3422222-1-2-2-2-222-1-1-12-2-2-2-2200-122−i3−i3i3i3-1-1-11111-21111-2-2-2220000000-1-1-1−i3−i3i3i3i3−i30011i3i3−i3−i300-221100-1-10000000000000i3−i31-1−i3i300000000
χ3522222-1-2-2-2-222-1-1-12-2-2-2-2200-122i3i3−i3−i3-1-1-11111-21111-222-2-20000000-1-1-1i3i3−i3−i3−i3i30011−i3−i3i3i3002-2-1-100110000000000000i3−i3-11−i3i300000000
χ3622222-1-2-2-2-222-1-1-12-2-2-2-2200-122i3i3−i3−i3-1-1-11111-21111-2-2-2220000000-1-1-1i3i3−i3−i3−i3i30011−i3−i3i3i300-221100-1-10000000000000−i3i31-1i3−i300000000
χ372222-122222-1-1222-1-1-1-1-1222-1-1-12222-1-1-12222-1-1-1-1-1-1000022222-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-12200002200-1-1-1-1-1-1-1-1020-1-1000000-1-1000000
χ382222-122222-1-1222-1-1-1-1-1222-1-1-12222-1-1-12222-1-1-1-1-1-10000-2-2-2-22-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-20000-2-200111111110-201100000011000000
χ392222-122222-1-1222-1-1-1-1-12-2-2-1-1-1-2-2-2-2-1-1-12222-1-1-1-1-1-100002222-2112-1-11111-2-211-1-11111-2-200002200-1-1-1-1-1-1-1-10-201100000011000000
χ402222-122222-1-1222-1-1-1-1-12-2-2-1-1-1-2-2-2-2-1-1-12222-1-1-1-1-1-10000-2-2-2-2-2112-1-11111-2-211-1-11111220000-2-20011111111020-1-1000000-1-1000000
χ412222-12-2-222-1-1222-11111-222-1112222-1-1-122-2-2-11111-100002222-2-1-1-211-1-1-1-1-2-211-1-11111220000-2-200-1-1-1-111110-20-1-100000011000000
χ422222-12-2-222-1-1222-11111-222-1112222-1-1-122-2-2-11111-10000-2-2-2-2-2-1-1-211-1-1-1-1-2-211-1-11111-2-2000022001111-1-1-1-102011000000-1-1000000
χ432222-12-2-222-1-1222-11111-2-2-2-111-2-2-2-2-1-1-122-2-2-11111-100002222211-211111122-1-1-1-1-1-1-1-1-2-20000-2-200-1-1-1-1111102011000000-1-1000000
χ442222-12-2-222-1-1222-11111-2-2-2-111-2-2-2-2-1-1-122-2-2-11111-10000-2-2-2-2211-211111122-1-1-1-1-1-1-1-122000022001111-1-1-1-10-20-1-100000011000000
χ4522-2-2222i−2i002-22-2-2-22i2i−2i−2i00020000002-2-2002i−2i02i2i−2i−2i02-22i−2i22−2−20000000000000000000000002-2−i2i22i−2i22−2−2−i2−i2i2i20000000000000−i2i22−200
χ4622-2-2222i−2i002-22-2-2-22i2i−2i−2i00020000002-2-2002i−2i02i2i−2i−2i02-22i−2i−2−2220000000000000000000000002-2i2−i22i−2i−2−222i2i2−i2−i20000000000000i2−i2−2200
χ4722-2-2222i−2i002-22-2-2-22i2i−2i−2i00020000002-2-2002i−2i02i2i−2i−2i0-22−2i2i22−2−2000000000000000000000000-22−i2i2−2i2i22−2−2−i2−i2i2i20000000000000i2−i2−2200
χ4822-2-2222i−2i002-22-2-2-22i2i−2i−2i00020000002-2-2002i−2i02i2i−2i−2i0-22−2i2i−2−222000000000000000000000000-22i2−i2−2i2i−2−222i2i2−i2−i20000000000000−i2i22−200
χ4922-2-222−2i2i002-22-2-2-2−2i−2i2i2i00020000002-2-200−2i2i0−2i−2i2i2i02-2−2i2i22−2−20000000000000000000000002-2i2−i2−2i2i22−2−2i2i2−i2−i20000000000000i2−i22−200
χ5022-2-222−2i2i002-22-2-2-2−2i−2i2i2i00020000002-2-200−2i2i0−2i−2i2i2i02-2−2i2i−2−2220000000000000000000000002-2−i2i2−2i2i−2−222−i2−i2i2i20000000000000−i2i2−2200
χ5122-2-222−2i2i002-22-2-2-2−2i−2i2i2i00020000002-2-200−2i2i0−2i−2i2i2i0-222i−2i22−2−2000000000000000000000000-22i2−i22i−2i22−2−2i2i2−i2−i20000000000000−i2i2−2200
χ5222-2-222−2i2i002-22-2-2-2−2i−2i2i2i00020000002-2-200−2i2i0−2i−2i2i2i0-222i−2i−2−222000000000000000000000000-22−i2i22i−2i−2−222−i2−i2i2i20000000000000i2−i22−200
χ532-22-22200-22-2-2-22-22000002-22002-22-2-2-222-200-20000200002-22-202-20002-22-200002-200002-2000000002-22-200000002-200000000000000
χ542-22-22200-22-2-2-22-22000002-22002-22-2-2-222-200-2000020000-22-2202-20002-22-200002-20000-2200000000-22-220000000-2200000000000000
χ552-22-22200-22-2-2-22-2200000-22200-22-22-2-222-200-20000200002-22-20-22000-22-2200002-20000-22000000002-22-20000000-2200000000000000
χ562-22-22200-22-2-2-22-2200000-22200-22-22-2-222-200-2000020000-22-220-22000-22-2200002-200002-200000000-22-2200000002-200000000000000
χ572-22-2-1200-2211-22-2-1−i3i3−i3i302-2-1−i3i32-22-211-12-2001−i3i3−i3i3-100002-22-20-110−i3i3-11-1100−i3i3-11−i3i3−i3i32-200000000-11-11−i3i3−i3i3000-11000000−i3i3000000
χ582-22-2-1200-2211-22-2-1−i3i3−i3i302-2-1−i3i32-22-211-12-2001−i3i3−i3i3-10000-22-220-110−i3i3-11-1100−i3i3-11−i3i3−i3i3-22000000001-11-1i3−i3i3−i30001-1000000i3−i3000000
χ592-22-2-1200-2211-22-2-1−i3i3−i3i30-22-1−i3i3-22-2211-12-2001−i3i3−i3i3-100002-22-201-10−i3i31-11-100i3−i3-11i3−i3i3−i3-2200000000-11-11−i3i3−i3i30001-1000000i3−i3000000
χ602-22-2-1200-2211-22-2-1−i3i3−i3i30-22-1−i3i3-22-2211-12-2001−i3i3−i3i3-10000-22-2201-10−i3i31-11-100i3−i3-11i3−i3i3−i32-2000000001-11-1i3−i3i3−i3000-11000000−i3i3000000
χ612-22-2-1200-2211-22-2-1i3−i3i3−i302-2-1i3−i32-22-211-12-2001i3−i3i3−i3-100002-22-20-110i3−i3-11-1100i3−i3-11i3−i3i3−i32-200000000-11-11i3−i3i3−i3000-11000000i3−i3000000
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χ744444-2-2-4-4-4-4-2-2-2-2-2-222224001-2-22i32i3−2i3−2i311122222-1-1-1-1200000000000-211−i3−i3i3i3−2i32i300-1-1i3i3−i3−i30000000000000000000000000000000000000
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χ8044-4-4-244i−4i00-224-4-42−2i−2i2i2i000-2000000-222004i−4i0−2i−2i2i2i00000−22−222222000000000000000000000000002i2−2i20022−2−2−i2−i2i2i20000000000000000000
χ8144-4-4-24−4i4i00-224-4-422i2i−2i−2i000-2000000-22200−4i4i02i2i−2i−2i000002222−22−22000000000000000000000000002i2−2i200−2−222−i2−i2i2i20000000000000000000
χ8244-4-4-24−4i4i00-224-4-422i2i−2i−2i000-2000000-22200−4i4i02i2i−2i−2i00000−22−22222200000000000000000000000000−2i22i20022−2−2i2i2−i2−i20000000000000000000
χ834-44-444004-4-4-4-44-4400000004000000-4-44-440040000-40000000000000000000000-4400000000000000000000000000000000000000000
χ844-44-44-2004-4-4-42-2240000000-200−2i32i32i3−2i322-22-20040000-400000000000000−2i32i32i3−2i300002-200000000000000000000000000000000000000000
χ854-44-44-2004-4-4-42-2240000000-2002i3−2i3−2i32i322-22-20040000-4000000000000002i3−2i3−2i32i300002-200000000000000000000000000000000000000000
χ864-44-44-200-44-4-42-224000004-4-200-22-2222-2-2200-4000040000000004-4000-22-220000-2200000000000000000000000000000000000000000
χ874-44-44-200-44-4-42-22400000-44-2002-22-222-2-2200-400004000000000-440002-22-20000-2200000000000000000000000000000000000000000
χ884-44-4-24004-422-44-4-2−2i32i3−2i32i3000-22i3−2i3000022-2-4400-2−2i32i3−2i32i320000000000002i3−2i3000000002-200000000000000000000000000000000000000000
χ894-44-4-24004-422-44-4-22i3−2i32i3−2i3000-2−2i32i3000022-2-4400-22i3−2i32i3−2i32000000000000−2i32i3000000002-200000000000000000000000000000000000000000
χ904-44-4-2-2004-4222-22-2−2i32i3−2i32i300012i3−2i3−2i32i32i3−2i3-1-112-200-2i3−i3i3−i32000000000000−i3i3i3−i3−i3i30000-11-333-30000000000000000000000000000000000000
χ914-44-4-2-2004-4222-22-2−2i32i3−2i32i300012i3−2i32i3−2i3−2i32i3-1-112-200-2i3−i3i3−i32000000000000−i3i3−i3i3i3−i30000-113-3-330000000000000000000000000000000000000
χ924-44-4-2-2004-4222-22-22i3−2i32i3−2i30001−2i32i3−2i32i32i3−2i3-1-112-200-2−i3i3−i3i32000000000000i3−i3i3−i3−i3i30000-113-3-330000000000000000000000000000000000000
χ934-44-4-2-2004-4222-22-22i3−2i32i3−2i30001−2i32i32i3−2i3−2i32i3-1-112-200-2−i3i3−i3i32000000000000i3−i3−i3i3i3−i30000-11-333-30000000000000000000000000000000000000
χ944-44-4-2-200-44222-22-2−2i32i3−2i32i304-41−2i32i3-22-22-1-11-22002i3−i3i3−i3-2000000000-220i3−i31-11-100−2i32i31-1i3−i3i3−i30000000000000000000000000000000000000
χ954-44-4-2-200-44222-22-2−2i32i3−2i32i30-441−2i32i32-22-2-1-11-22002i3−i3i3−i3-20000000002-20i3−i3-11-11002i3−2i31-1−i3i3−i3i30000000000000000000000000000000000000
χ964-44-4-2-200-44222-22-22i3−2i32i3−2i304-412i3−2i3-22-22-1-11-22002−i3i3−i3i3-2000000000-220−i3i31-11-1002i3−2i31-1−i3i3−i3i30000000000000000000000000000000000000
χ974-44-4-2-200-44222-22-22i3−2i32i3−2i30-4412i3−2i32-22-2-1-11-22002−i3i3−i3i3-20000000002-20−i3i3-11-1100−2i32i31-1i3−i3i3−i30000000000000000000000000000000000000
χ984-4-44440000-44-4-44-400000004000000-44-40000000000000022−22−222200000000000000000000000000000022−22−222200000000000000000000000
χ994-4-44440000-44-4-44-400000004000000-44-400000000000000−222222−22000000000000000000000000000000−222222−2200000000000000000000000
χ1004-4-44-2400002-2-4-44223−23−2323000-20000002-220000023−23−23230000022−22−2222000000000000000000000000000000−222−2−666−60000000000000000000
χ1014-4-44-2400002-2-4-44223−23−2323000-20000002-220000023−23−232300000−222222−220000000000000000000000000000002−2−226−6−660000000000000000000
χ1024-4-44-2400002-2-4-442−232323−23000-20000002-2200000−232323−230000022−22−2222000000000000000000000000000000−222−26−6−660000000000000000000
χ1034-4-44-2400002-2-4-442−232323−23000-20000002-2200000−232323−2300000−222222−220000000000000000000000000000002−2−22−666−60000000000000000000
χ10488-8-8-4-48i−8i00-44-4444−4i−4i4i4i00020000002-2-200−4i4i02i2i−2i−2i000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4−8i8i00-44-44444i4i−4i−4i00020000002-2-2004i−4i0−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-888-40000-8844-4-80000000-40000004-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-400004-444-4443−43−43430002000000-22-200000−232323−23000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-400004-444-44−434343−430002000000-22-20000023−23−2323000000000000000000000000000000000000000000000000000000000000000000

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