Finite Group Databasebeta

← Group #11882322

Character table — Group #11882322

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444466666666888888888888121212121212121212121212121212121212121216161616161624242424242424243636363648487272
order12222233444466666636666666121212121212121244441212121224666612121212121244888812121212121224242424242424246661212122244661212888861244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111-11-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-111111111111111-11-11-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11-11-11111-1-1-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ91111-1-1111-1-111111111-1-1-1-1111111-1-1-1-1111-1-111111-111-1-1-1-111-1-1-1111-1-111-1-1-1-11111-1-1-1-1111-1-1-1-111-1-1-11111-1-11-11-1
χ101111-1-1111-1-111111111-1-1-1-1111111-1-1-1-1111-1-111111-111-1-1-1-111-1-1-11-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-111-1-111-1-111-11-11
χ111111-1-1111-1-111111111-1-1-1-1111111-1-1-1-1111-1-11111-11-1-1-1-11111-1-1-1111-1-111-1-1-1-11111-1-1-1-1-1-1-11111-1-1111-1-111-1-1-11-11
χ121111-1-1111-1-111111111-1-1-1-1111111-1-1-1-1111-1-11111-11-1-1-1-11111-1-1-11-1-11111-1-1-1-1-1-1-1-11111-1-1-111111-1-111-1-1-1-1111-11-1
χ131111-1-1111-1-111111111-1-1-1-1111111-1-1-1-11-1-111-1-1-1-11-111-1-1-1-111-1-11-111-1-1-1-111111111-1-1-1-1111-1-1-111-1-111-1-1-1-1111-1-11
χ141111-1-1111-1-111111111-1-1-1-1111111-1-1-1-11-1-111-1-1-1-11-111-1-1-1-111-1-11-1-1-111-1-11111-1-1-1-11111111-1-1-11-1-1111-1-111-1-1-111-1
χ151111-1-1111-1-111111111-1-1-1-1111111-1-1-1-11-1-111-1-1-1-1-11-1-1-1-11111-1-11-111-1-1-1-111111111-1-1-1-1-1-1-1111-1-111-1-111-1-111-111-1
χ161111-1-1111-1-111111111-1-1-1-1111111-1-1-1-11-1-111-1-1-1-1-11-1-1-1-11111-1-11-1-1-111-1-11111-1-1-1-11111-1-1-1111-111-1-1-11111-1-11-1-11
χ1722222222-2-2-2-222222222222222-2-2-2-2-2-2-2-222-2-2222200002200-2-2-2-22-20000-2-2-2-222000000000000000000000000000000
χ1822222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-200002200-2-2-2-2-2200002222-2-2000000000000000000000000000000
χ192222222-1222222-1-12-1-122-1-1-1-1-12-1-122-1-122222-1-1-1-122-1-1-1-1-1-1-1-1-1-1220000-1-1-1-1-1-1000000002-1-12-1-12020-1-1-1-100000000
χ202222222-1222222-1-12-1-122-1-1-1-1-12-1-122-1-122222-1-1-1-1-2-211-1-111-1-1-1-1220000-1-1-1-1-1-100000000-211-211-20-20111100000000
χ212222222-1222222-1-12-1-122-1-1-1-1-12-1-122-1-12-2-2-2-2111122-1-1-1-1-1-1-1-1-1-1-2-20000111111000000002-1-12-1-1-20-20111100000000
χ222222222-1222222-1-12-1-122-1-1-1-1-12-1-122-1-12-2-2-2-21111-2-211-1-111-1-1-1-1-2-2000011111100000000-211-2112020-1-1-1-100000000
χ232222222-1-2-2-2-222-1-12-1-122-1-1-1-1-1-211-2-211-222-2-2-1-1-1-100−i3i3-1-1−i3i311112-200001111-1-1000000000−i3i30−i3i30000−i3i3−i3i300000000
χ242222222-1-2-2-2-222-1-12-1-122-1-1-1-1-1-211-2-211-222-2-2-1-1-1-100i3−i3-1-1i3−i311112-200001111-1-1000000000i3−i30i3−i30000i3−i3i3−i300000000
χ252222222-1-2-2-2-222-1-12-1-122-1-1-1-1-1-211-2-211-2-2-222111100−i3i3-1-1−i3i31111-220000-1-1-1-111000000000−i3i30−i3i30000i3−i3i3−i300000000
χ262222222-1-2-2-2-222-1-12-1-122-1-1-1-1-1-211-2-211-2-2-222111100i3−i3-1-1i3−i31111-220000-1-1-1-111000000000i3−i30i3−i30000−i3i3−i3i300000000
χ27222222-122222-1-122-12-1-1-122-1-1-1-122-1-122-1000000002222-1-122-1-1-1-1002222000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1020200000000-1-100
χ28222222-122222-1-122-12-1-1-122-1-1-1-122-1-122-1000000002222-1-122-1-1-1-100-2-2-2-200000011111111-1-1-1-1-1-10-20-2000000001100
χ29222222-122222-1-122-12-1-1-122-1-1-1-122-1-122-100000000-2-2-2-2-1-1-2-2-1-1-1-1002222000000-1-1-1-1-1-1-1-11111110-20-2000000001100
χ30222222-122222-1-122-12-1-1-122-1-1-1-122-1-122-100000000-2-2-2-2-1-1-2-2-1-1-1-100-2-2-2-200000011111111111111020200000000-1-100
χ312222-2-222-222-22222222-2-2-2-2222-2-2-22222-2222222220000-2-200-2-222-2-20000-2-222-2-2000000000000000000000000000000
χ322222-2-222-222-22222222-2-2-2-2222-2-2-22222-2-2-2-2-2-2-2-2-20000-2-200-2-22222000022-2-222000000000000000000000000000000
χ332222-2-22-12-2-2222-1-12-1-1-2-211-1-1-12-1-1-2-211222-2-2-1-1-1-12-2-1-11111-1-111-220000-1-11111000000002-1-1-211-202011-1-100000000
χ342222-2-22-12-2-2222-1-12-1-1-2-211-1-1-12-1-1-2-211222-2-2-1-1-1-1-221111-1-1-1-111-220000-1-1111100000000-2112-1-120-20-1-11100000000
χ352222-2-22-12-2-2222-1-12-1-1-2-211-1-1-12-1-1-2-2112-2-22211112-2-1-11111-1-1112-2000011-1-1-1-1000000002-1-1-21120-20-1-11100000000
χ362222-2-22-12-2-2222-1-12-1-1-2-211-1-1-12-1-1-2-2112-2-2221111-221111-1-1-1-1112-2000011-1-1-1-100000000-2112-1-1-202011-1-100000000
χ372222-2-22-1-222-222-1-12-1-1-2-211-1-1-1-21122-1-1-22222-1-1-1-100−i3i311i3−i311-1-1-2-2000011-1-111000000000−i3i30i3−i30000i3−i3−i3i300000000
χ382222-2-22-1-222-222-1-12-1-1-2-211-1-1-1-21122-1-1-22222-1-1-1-100i3−i311−i3i311-1-1-2-2000011-1-111000000000i3−i30−i3i30000−i3i3i3−i300000000
χ392222-2-22-1-222-222-1-12-1-1-2-211-1-1-1-21122-1-1-2-2-2-2-2111100−i3i311i3−i311-1-1220000-1-111-1-1000000000−i3i30i3−i30000−i3i3i3−i300000000
χ402222-2-22-1-222-222-1-12-1-1-2-211-1-1-1-21122-1-1-2-2-2-2-2111100i3−i311−i3i311-1-1220000-1-111-1-1000000000i3−i30−i3i30000i3−i3−i3i300000000
χ412222-2-2-122-2-22-1-122-12-111-2-2-1-1-1-12211-2-2-1000000002-22211-2-2-1-1110022-2-2000000-1-1-1-11111-1-1-1111020-200000000-1100
χ422222-2-2-122-2-22-1-122-12-111-2-2-1-1-1-12211-2-2-1000000002-22211-2-2-1-11100-2-2220000001111-1-1-1-1-1-1-11110-202000000001-100
χ432222-2-2-122-2-22-1-122-12-111-2-2-1-1-1-12211-2-2-100000000-22-2-21122-1-1110022-2-2000000-1-1-1-11111111-1-1-10-202000000001-100
χ442222-2-2-122-2-22-1-122-12-111-2-2-1-1-1-12211-2-2-100000000-22-2-21122-1-11100-2-2220000001111-1-1-1-1111-1-1-1020-200000000-1100
χ452-2-22002202i−2i02-2-22-2-2200002-2-20002i−2i2i−2i02i−2i2-22i2i−2i−2i00000000002i−2i002−2−i2i2002-20022−2−2−i2−i2i2i200000000000000−i2i22−20000
χ462-2-22002202i−2i02-2-22-2-2200002-2-20002i−2i2i−2i02i−2i2-22i2i−2i−2i00000000002i−2i00−22i2−i2002-200−2−222i2i2−i2−i200000000000000i2−i2−220000
χ472-2-22002202i−2i02-2-22-2-2200002-2-20002i−2i2i−2i0−2i2i-22−2i−2i2i2i00000000002i−2i002−2−i2i200-220022−2−2−i2−i2i2i200000000000000i2−i2−220000
χ482-2-22002202i−2i02-2-22-2-2200002-2-20002i−2i2i−2i0−2i2i-22−2i−2i2i2i00000000002i−2i00−22i2−i200-2200−2−222i2i2−i2−i200000000000000−i2i22−20000
χ492-2-2200220−2i2i02-2-22-2-2200002-2-2000−2i2i−2i2i02i−2i-222i2i−2i−2i0000000000−2i2i002−2i2−i200-220022−2−2i2i2−i2−i200000000000000−i2i2−220000
χ502-2-2200220−2i2i02-2-22-2-2200002-2-2000−2i2i−2i2i02i−2i-222i2i−2i−2i0000000000−2i2i00−22−i2i200-2200−2−222−i2−i2i2i200000000000000i2−i22−20000
χ512-2-2200220−2i2i02-2-22-2-2200002-2-2000−2i2i−2i2i0−2i2i2-2−2i−2i2i2i0000000000−2i2i002−2i2−i2002-20022−2−2i2i2−i2−i200000000000000i2−i22−20000
χ522-2-2200220−2i2i02-2-22-2-2200002-2-2000−2i2i−2i2i0−2i2i2-2−2i−2i2i2i0000000000−2i2i00−22−i2i2002-200−2−222−i2−i2i2i200000000000000−i2i2−220000
χ53444444-24-4-4-4-4-2-244-24-2-2-244-2-2-22-4-422-4-42000000000000-2-2002222000000000000000000000000000000000000000000
χ54444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-2-20000000044-2-211-2-2111100000000000000000000-211-2110000000000000000
χ55444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-2-200000000-4-42211221111000000000000000000002-1-12-1-10000000000000000
χ56444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111222222220000000000−2i32i311−2i32i3-1-1-1-1000000000000000000000i3−i30i3−i30000000000000000
χ57444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21112222222200000000002i3−2i3112i3−2i3-1-1-1-1000000000000000000000−i3i30−i3i30000000000000000
χ584444-4-4-24-444-4-2-244-24-222-4-4-2-2-22-4-4-2-2442000000000000220022-2-2000000000000000000000000000000000000000000
χ594444-4-4-2-24-4-44-2-2-2-2-2-212222111-2-2-22222-2000000004-4-2-2-1-12211-1-100000000000000000000-2112-1-10000000000000000
χ604444-4-4-2-24-4-44-2-2-2-2-2-212222111-2-2-22222-200000000-4422-1-1-2-211-1-1000000000000000000002-1-1-2110000000000000000
χ614444-4-4-2-2-444-4-2-2-2-2-2-212222111222-2-2-2-220000000000−2i32i3-1-12i3−2i3-1-111000000000000000000000i3−i30−i3i30000000000000000
χ624444-4-4-2-2-444-4-2-2-2-2-2-212222111222-2-2-2-2200000000002i3−2i3-1-1−2i32i3-1-111000000000000000000000−i3i30i3−i30000000000000000
χ6344-4-40044400-4-444-4-4-440000-44-444-40000-400000000000000004-400000000000000000000000000000000000000000000
χ6444-4-40044-4004-444-4-4-440000-44-4-4-44000040000000000000000-4400000000000000000000000000000000000000000000
χ6544-4-4004-2400-4-44-22-42-200002-224-220000-4000023−2323−2300000000-220000000023−230000000000000000000000000000000000
χ6644-4-4004-2400-4-44-22-42-200002-224-220000-40000−2323−232300000000-2200000000−23230000000000000000000000000000000000
χ6744-4-4004-2-4004-44-22-42-200002-22-42-200004000023−2323−23000000002-200000000−23230000000000000000000000000000000000
χ6844-4-4004-2-4004-44-22-42-200002-22-42-2000040000−2323−2323000000002-20000000023−230000000000000000000000000000000000
χ6944-4-400-24400-42-24-42-4-200002-22-24-4000020000000000000000-2200000000000000000023−2323−230000000000000000000000
χ7044-4-400-24400-42-24-42-4-200002-22-24-4000020000000000000000-22000000000000000000−2323−23230000000000000000000000
χ7144-4-400-24-40042-24-42-4-200002-222-440000-200000000000000002-200000000000000−2i32i3−2i32i300000000000000000000000000
χ7244-4-400-24-40042-24-42-4-200002-222-440000-200000000000000002-2000000000000002i3−2i32i3−2i300000000000000000000000000
χ734-44-44-4440000-4-4-4-44444-44-4-4-44000000000000000000004-4000000000000000000000000000000000000000000000000
χ744-44-44-44-20000-4-4224-2-24-4-2222-2000000000000−2i32i32i3−2i30000-220000000000000000−2i32i3000000000000000000000000000000
χ754-44-44-44-20000-4-4224-2-24-4-2222-20000000000002i3−2i3−2i32i30000-2200000000000000002i3−2i3000000000000000000000000000000
χ764-44-44-4-24000022-4-4-24-2-224-422-200000000000000000000-22000000000000000000i6−i6−i6i6i6−i6−i6i60000000000000000000000
χ774-44-44-4-24000022-4-4-24-2-224-422-200000000000000000000-22000000000000000000−i6i6i6−i6−i6i6i6−i60000000000000000000000
χ784-44-4-44440000-4-4-4-4444-44-44-4-4400000000000000000000-44000000000000000000000000000000000000000000000000
χ794-44-4-444-20000-4-4224-2-2-442-222-2000000000000−2i32i32i3−2i300002-200000000000000002i3−2i3000000000000000000000000000000
χ804-44-4-444-20000-4-4224-2-2-442-222-20000000000002i3−2i3−2i32i300002-20000000000000000−2i32i3000000000000000000000000000000
χ814-44-4-44-24000022-4-4-24-22-2-4422-2000000000000000000002-2000000000000000000i6−i6−i6i6−i6i6i6−i60000000000000000000000
χ824-44-4-44-24000022-4-4-24-22-2-4422-2000000000000000000002-2000000000000000000−i6i6i6−i6i6−i6−i6i60000000000000000000000
χ834-4-44004-204i−4i04-42-2-42-20000-2220004i−4i−2i2i04i−4i4-4−2i−2i2i2i0000000000−2i2i00000000-2200000000000000000000000000000000
χ844-4-44004-204i−4i04-42-2-42-20000-2220004i−4i−2i2i0−4i4i-442i2i−2i−2i0000000000−2i2i000000002-200000000000000000000000000000000
χ854-4-44004-20−4i4i04-42-2-42-20000-222000−4i4i2i−2i04i−4i-44−2i−2i2i2i00000000002i−2i000000002-200000000000000000000000000000000
χ864-4-44004-20−4i4i04-42-2-42-20000-222000−4i4i2i−2i0−4i4i4-42i2i−2i−2i00000000002i−2i00000000-2200000000000000000000000000000000
χ874-4-4400-2404i−4i0-22-442-4-20000-222000−2i2i4i−4i0000000000000000000−2i2i0022−22−2i22i2000000−2−222i2i2−i2−i20000000000000000000000
χ884-4-4400-2404i−4i0-22-442-4-20000-222000−2i2i4i−4i0000000000000000000−2i2i00−22222i2−2i200000022−2−2−i2−i2i2i20000000000000000000000
χ894-4-4400-240−4i4i0-22-442-4-20000-2220002i−2i−4i4i00000000000000000002i−2i0022−222i2−2i2000000−2−222−i2−i2i2i20000000000000000000000
χ904-4-4400-240−4i4i0-22-442-4-20000-2220002i−2i−4i4i00000000000000000002i−2i00−2222−2i22i200000022−2−2i2i2−i2−i20000000000000000000000
χ9188-8-800-4-4800-84-4-444420000-22-2-4-440000400000000000000002-200000000000000000000000000000000000000000000
χ9288-8-800-4-4-80084-4-444420000-22-244-40000-40000000000000000-2200000000000000000000000000000000000000000000
χ938-88-88-8-4-400004444-4-42-44-44-2-22000000000000000000002-2000000000000000000000000000000000000000000000000
χ948-88-8-88-4-400004444-4-424-44-4-2-2200000000000000000000-22000000000000000000000000000000000000000000000000
χ958-8-8800-4-408i−8i0-444-444200002-2-2000−4i4i−4i4i00000000000000000002i−2i000000000000000000000000000000000000000000
χ968-8-8800-4-40−8i8i0-444-444200002-2-20004i−4i4i−4i0000000000000000000−2i2i000000000000000000000000000000000000000000

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