Finite Group Databasebeta

← Group #11882248

Character table — Group #11882248

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444466666666888888888888121212121212121212121212121212121212121216161616161624242424242424243636363648487272
order122222334444666666366666661212121212121212444412121212246666121212121212448888121212121212242424242424242466612121224446612128888121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1
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
χ4111111111111111111111111111111111111111111-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-111-1-1
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
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111
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
χ91111-1-1111-1-111111111-1-1-1-111111-1-11-1-1111-1-111111-111-1-1-1-111-1-11-111-1-111-1-1-1-11111-1-1-1-1111-1-1-1-111-1-1-11111-1-1-111-1
χ101111-1-1111-1-111111111-1-1-1-111111-1-11-1-1111-1-111111-111-1-1-1-111-1-11-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-11-11-1-111-1-1111-1-11
χ111111-1-1111-1-111111111-1-1-1-111111-1-11-1-1111-1-11111-11-1-1-1-11111-1-11-111-1-111-1-1-1-11111-1-1-1-1-1-1-11111-1-1111-1-111-1-11-1-11
χ121111-1-1111-1-111111111-1-1-1-111111-1-11-1-1111-1-11111-11-1-1-1-11111-1-11-1-1-11111-1-1-1-1-1-1-1-11111-1-1-11111-11-111-1-1-1-111-111-1
χ131111-1-1111-1-111111111-1-1-1-111111-1-11-1-11-1-111-1-1-1-11-111-1-1-1-111-1-1-1111-1-1-1-111111111-1-1-1-1111-1-1-11-11-111-1-1-1-111-11-11
χ141111-1-1111-1-111111111-1-1-1-111111-1-11-1-11-1-111-1-1-1-11-111-1-1-1-111-1-1-11-1-111-1-11111-1-1-1-11111111-1-1-11-1-1111-1-111-1-11-11-1
χ151111-1-1111-1-111111111-1-1-1-111111-1-11-1-11-1-111-1-1-1-1-11-1-1-1-11111-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1111-11-11-1-111-1-1111-11-1
χ161111-1-1111-1-111111111-1-1-1-111111-1-11-1-11-1-111-1-1-1-1-11-1-1-1-11111-1-1-11-1-111-1-11111-1-1-1-11111-1-1-1111-111-1-1-11111-1-1-11-11
χ1722222222-2-2-2-222222222222222-2-2-2-2-2-2-2-22222222200002200-2-2-2-2-2-20000-2-2-2-222000000000000000000000000000000
χ1822222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200002200-2-2-2-22200002222-2-2000000000000000000000000000000
χ192222222-122222-12-12-1-122-1-1-1-1-1-1-1-1-122222222-1-1-1-122-1-1-1-1-1-1-1-1-1-1220000-1-1-1-1-1-1000000002-1-12-1-12200-1-1-1-100000000
χ202222222-122222-12-12-1-122-1-1-1-1-1-1-1-1-122222222-1-1-1-1-2-211-1-111-1-1-1-1220000-1-1-1-1-1-100000000-211-211-2-200111100000000
χ212222222-122222-12-12-1-122-1-1-1-1-1-1-1-1-12222-2-2-2-2111122-1-1-1-1-1-1-1-1-1-1-2-20000111111000000002-1-12-1-1-2-200111100000000
χ222222222-122222-12-12-1-122-1-1-1-1-1-1-1-1-12222-2-2-2-21111-2-211-1-111-1-1-1-1-2-2000011111100000000-211-2112200-1-1-1-100000000
χ232222222-1-2-2-2-22-12-12-1-122-1-1-1-1-11111-2-2-2-22222-1-1-1-100−i3i3-1-1−i3i31111-2-200001111-1-1000000000−i3i30−i3i30000−i3i3−i3i300000000
χ242222222-1-2-2-2-22-12-12-1-122-1-1-1-1-11111-2-2-2-22222-1-1-1-100i3−i3-1-1i3−i31111-2-200001111-1-1000000000i3−i30i3−i30000i3−i3i3−i300000000
χ252222222-1-2-2-2-22-12-12-1-122-1-1-1-1-11111-2-2-2-2-2-2-2-2111100−i3i3-1-1−i3i31111220000-1-1-1-111000000000−i3i30−i3i30000i3−i3i3−i300000000
χ262222222-1-2-2-2-22-12-12-1-122-1-1-1-1-11111-2-2-2-2-2-2-2-2111100i3−i3-1-1i3−i31111220000-1-1-1-111000000000i3−i30i3−i30000−i3i3−i3i300000000
χ27222222-122222-12-12-12-1-1-122-1-1-12222-1-1-1-1000000002222-1-122-1-1-1-1002222000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200000000-1-100
χ28222222-122222-12-12-12-1-1-122-1-1-12222-1-1-1-1000000002222-1-122-1-1-1-100-2-2-2-200000011111111-1-1-1-1-1-100-2-2000000001100
χ29222222-122222-12-12-12-1-1-122-1-1-12222-1-1-1-100000000-2-2-2-2-1-1-2-2-1-1-1-1002222000000-1-1-1-1-1-1-1-111111100-2-2000000001100
χ30222222-122222-12-12-12-1-1-122-1-1-12222-1-1-1-100000000-2-2-2-2-1-1-2-2-1-1-1-100-2-2-2-200000011111111111111002200000000-1-100
χ312222-2-222-222-22222222-2-2-2-2222-2-222-222-222-2-222220000-2-200-2-222-220000-2-222-2-2000000000000000000000000000000
χ322222-2-222-222-22222222-2-2-2-2222-2-222-222-2-2-222-2-2-2-20000-2-200-2-2222-2000022-2-222000000000000000000000000000000
χ332222-2-22-12-2-222-12-12-1-1-2-211-1-1-1-1-1112-2-2222-2-2-1-1-1-12-2-1-11111-1-1112-20000-1-11111000000002-1-1-211-220011-1-100000000
χ342222-2-22-12-2-222-12-12-1-1-2-211-1-1-1-1-1112-2-2222-2-2-1-1-1-1-221111-1-1-1-1112-20000-1-1111100000000-2112-1-12-200-1-11100000000
χ352222-2-22-12-2-222-12-12-1-1-2-211-1-1-1-1-1112-2-22-2-22211112-2-1-11111-1-111-22000011-1-1-1-1000000002-1-1-2112-200-1-11100000000
χ362222-2-22-12-2-222-12-12-1-1-2-211-1-1-1-1-1112-2-22-2-2221111-221111-1-1-1-111-22000011-1-1-1-100000000-2112-1-1-220011-1-100000000
χ372222-2-22-1-222-22-12-12-1-1-2-211-1-1-111-1-1-222-222-2-2-1-1-1-100−i3i311i3−i311-1-1-22000011-1-111000000000−i3i30i3−i30000i3−i3−i3i300000000
χ382222-2-22-1-222-22-12-12-1-1-2-211-1-1-111-1-1-222-222-2-2-1-1-1-100i3−i311−i3i311-1-1-22000011-1-111000000000i3−i30−i3i30000−i3i3i3−i300000000
χ392222-2-22-1-222-22-12-12-1-1-2-211-1-1-111-1-1-222-2-2-222111100−i3i311i3−i311-1-12-20000-1-111-1-1000000000−i3i30i3−i30000−i3i3i3−i300000000
χ402222-2-22-1-222-22-12-12-1-1-2-211-1-1-111-1-1-222-2-2-222111100i3−i311−i3i311-1-12-20000-1-111-1-1000000000i3−i30−i3i30000i3−i3−i3i300000000
χ412222-2-2-122-2-22-12-12-12-111-2-2-1-1-122-2-2-111-1000000002-22211-2-2-1-1110022-2-2000000-1-1-1-11111-1-1-1111002-2000000001-100
χ422222-2-2-122-2-22-12-12-12-111-2-2-1-1-122-2-2-111-1000000002-22211-2-2-1-11100-2-2220000001111-1-1-1-1-1-1-111100-2200000000-1100
χ432222-2-2-122-2-22-12-12-12-111-2-2-1-1-122-2-2-111-100000000-22-2-21122-1-1110022-2-2000000-1-1-1-11111111-1-1-100-2200000000-1100
χ442222-2-2-122-2-22-12-12-12-111-2-2-1-1-122-2-2-111-100000000-22-2-21122-1-11100-2-2220000001111-1-1-1-1111-1-1-1002-2000000001-100
χ4522-2-22-22200002-2-2-2-2222-22-2-22-2000000002-22-222-2-200002-200000000−i2i2−i2i200002-2−i2−i2i2i2−i2−i2i2i200000000000000−i2i2−i2i20000
χ4622-2-22-22200002-2-2-2-2222-22-2-22-2000000002-22-222-2-200002-200000000i2−i2i2−i200002-2i2i2−i2−i2i2i2−i2−i200000000000000i2−i2i2−i20000
χ4722-2-22-22200002-2-2-2-2222-22-2-22-200000000-22-22-2-22200002-200000000−i2i2−i2i20000-22−i2−i2i2i2−i2−i2i2i200000000000000i2−i2i2−i20000
χ4822-2-22-22200002-2-2-2-2222-22-2-22-200000000-22-22-2-22200002-200000000i2−i2i2−i20000-22i2i2−i2−i2i2i2−i2−i200000000000000−i2i2−i2i20000
χ4922-2-2-222200002-2-2-2-222-22-22-22-2000000002-2-2222-2-20000-2200000000−i2i2i2−i20000-22−i2−i2i2i2i2i2−i2−i200000000000000−i2i2i2−i20000
χ5022-2-2-222200002-2-2-2-222-22-22-22-2000000002-2-2222-2-20000-2200000000i2−i2−i2i20000-22i2i2−i2−i2−i2−i2i2i200000000000000i2−i2−i2i20000
χ5122-2-2-222200002-2-2-2-222-22-22-22-200000000-222-2-2-2220000-2200000000−i2i2i2−i200002-2−i2−i2i2i2i2i2−i2−i200000000000000i2−i2−i2i20000
χ5222-2-2-222200002-2-2-2-222-22-22-22-200000000-222-2-2-2220000-2200000000i2−i2−i2i200002-2i2i2−i2−i2−i2−i2i2i200000000000000−i2i2i2−i20000
χ53444444-24-4-4-4-4-24-24-24-2-2-244-2-2-2-4-4-4-42222000000000000-2-2002222000000000000000000000000000000000000000000
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
χ584444-4-4-24-444-4-24-24-24-222-4-4-2-2-2-4-4442-2-22000000000000220022-2-2000000000000000000000000000000000000000000
χ594444-4-4-2-24-4-44-2-2-2-2-2-212222111-2-222-222-2000000004-4-2-2-1-12211-1-100000000000000000000-2112-1-10000000000000000
χ604444-4-4-2-24-4-44-2-2-2-2-2-212222111-2-222-222-200000000-4422-1-1-2-211-1-1000000000000000000002-1-1-2110000000000000000
χ614444-4-4-2-2-444-4-2-2-2-2-2-21222211122-2-22-2-220000000000−2i32i3-1-12i3−2i3-1-111000000000000000000000i3−i30−i3i30000000000000000
χ624444-4-4-2-2-444-4-2-2-2-2-2-21222211122-2-22-2-2200000000002i3−2i3-1-1−2i32i3-1-111000000000000000000000−i3i30i3−i30000000000000000
χ6344-4-44-44-2000042-42-4-2-24-4-222-22000000004-44-4-2-2220000-220000000000000000-22000000000000000000000000000000
χ6444-4-44-44-2000042-42-4-2-24-4-222-2200000000-44-4422-2-20000-2200000000000000002-2000000000000000000000000000000
χ6544-4-44-4-240000-2-42-424-2-224-42-2200000000000000000000-2200000000−2i22i2−2i22i2000000i2i2−i2−i2i2i2−i2−i20000000000000000000000
χ6644-4-44-4-240000-2-42-424-2-224-42-2200000000000000000000-22000000002i2−2i22i2−2i2000000−i2−i2i2i2−i2−i2i2i20000000000000000000000
χ6744-4-4-444-2000042-42-4-2-2-442-22-22000000004-4-44-2-22200002-200000000000000002-2000000000000000000000000000000
χ6844-4-4-444-2000042-42-4-2-2-442-22-2200000000-444-422-2-200002-20000000000000000-22000000000000000000000000000000
χ6944-4-4-44-240000-2-42-424-22-2-442-22000000000000000000002-200000000−2i22i22i2−2i2000000i2i2−i2−i2−i2−i2i2i20000000000000000000000
χ7044-4-4-44-240000-2-42-424-22-2-442-22000000000000000000002-2000000002i2−2i2−2i22i2000000−i2−i2i2i2i2i2−i2−i20000000000000000000000
χ714-44-40044400-4-44-4-44-440000-4-444-400400-400000000000000004-400000000000000000000000000000000000000000000
χ724-44-40044-4004-44-4-44-440000-4-44-4400-40040000000000000000-4400000000000000000000000000000000000000000000
χ734-44-4004-2400-4-4-2-4242-2000022-2-2200400-4000023−2323−2300000000-220000000023−230000000000000000000000000000000000
χ744-44-4004-2400-4-4-2-4242-2000022-2-2200400-40000−2323−232300000000-2200000000−23230000000000000000000000000000000000
χ754-44-4004-2-4004-4-2-4242-2000022-22-200-4004000023−2323−23000000002-200000000−23230000000000000000000000000000000000
χ764-44-4004-2-4004-4-2-4242-2000022-22-200-40040000−2323−2323000000002-20000000023−230000000000000000000000000000000000
χ774-44-400-24400-4242-4-2-4-2000022-24-400-20020000000000000000-2200000000000000000023−2323−230000000000000000000000
χ784-44-400-24400-4242-4-2-4-2000022-24-400-20020000000000000000-22000000000000000000−2323−23230000000000000000000000
χ794-44-400-24-4004242-4-2-4-2000022-2-4400200-200000000000000002-200000000000000−2i32i3−2i32i300000000000000000000000000
χ804-44-400-24-4004242-4-2-4-2000022-2-4400200-200000000000000002-2000000000000002i3−2i32i3−2i300000000000000000000000000
χ814-4-44004404i−4i0-4-444-4-4400004-4-4004i−4i04i−4i00000000000000000004i−4i000000000000000000000000000000000000000000
χ824-4-4400440−4i4i0-4-444-4-4400004-4-400−4i4i0−4i4i0000000000000000000−4i4i000000000000000000000000000000000000000000
χ834-4-44004-204i−4i0-424-2-42-20000-22200−2i2i04i−4i0000023−23−23230000000000−2i2i00000000−2i32i300000000000000000000000000000000
χ844-4-44004-204i−4i0-424-2-42-20000-22200−2i2i04i−4i00000−232323−230000000000−2i2i000000002i3−2i300000000000000000000000000000000
χ854-4-44004-20−4i4i0-424-2-42-20000-222002i−2i0−4i4i0000023−23−232300000000002i−2i000000002i3−2i300000000000000000000000000000000
χ864-4-44004-20−4i4i0-424-2-42-20000-222002i−2i0−4i4i00000−232323−2300000000002i−2i00000000−2i32i300000000000000000000000000000000
χ874-4-4400-2404i−4i02-4-242-4-20000-222004i−4i0−2i2i0000000000000000000−2i2i0000000000006−6−66i6−i6−i6i60000000000000000000000
χ884-4-4400-2404i−4i02-4-242-4-20000-222004i−4i0−2i2i0000000000000000000−2i2i000000000000−666−6−i6i6i6−i60000000000000000000000
χ894-4-4400-240−4i4i02-4-242-4-20000-22200−4i4i02i−2i00000000000000000002i−2i0000000000006−6−66−i6i6i6−i60000000000000000000000
χ904-4-4400-240−4i4i02-4-242-4-20000-22200−4i4i02i−2i00000000000000000002i−2i000000000000−666−6i6−i6−i6i60000000000000000000000
χ9188-8-88-8-4-40000-44444-42-44-44-22-2000000000000000000002-2000000000000000000000000000000000000000000000000
χ9288-8-8-88-4-40000-44444-424-44-4-22-200000000000000000000-22000000000000000000000000000000000000000000000000
χ938-88-800-4-4800-84-444-4420000-2-22-4400-400400000000000000002-200000000000000000000000000000000000000000000
χ948-88-800-4-4-80084-444-4420000-2-224-400400-40000000000000000-2200000000000000000000000000000000000000000000
χ958-8-8800-4-408i−8i044-4-444200002-2-200−4i4i0−4i4i00000000000000000002i−2i000000000000000000000000000000000000000000
χ968-8-8800-4-40−8i8i044-4-444200002-2-2004i−4i04i−4i0000000000000000000−2i2i000000000000000000000000000000000000000000

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