Finite Group Databasebeta

← Group #11895494

Character table — Group #11895494

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222444444444444466668888888888888812121212121212121212121212121212121216161616161618181818242424242424242424242424242436367272
order1222334444666666346661212121212121212444444121212121212121212121212444444888812121212121212121212121212128888441212121212121212242424248844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-111-1-1-1-111111111111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111
χ4111111111111111111111111111111111-1-111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1
χ511111111111111111111111111111-1-1-1-111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-111111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-1
χ811111111111111111111111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1111111-1-111
χ9111111-1-1111111111-1111-1-1111-1-1111-1-11-1-1-111-1-111-1-1-1-11-1111111-1-111-1-111111-111-1-11111-1-1-1-1111-1-1-111-1-1-1-11-1
χ10111111-1-1111111111-1111-1-1111-1-1111-1-11-1-1-111-1-111-1-1-1-11-1-1-111-1-11111-1-111111-111-1-1-1-1-1-1-1111-1-11-1-1-1-1-11111-11
χ11111111-1-1111111111-1111-1-1111-1-1111-1-1-11-1-1-1-11111-1-1-1-11-111-1-1-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-11-1-1-1111-111-1-111111-1
χ12111111-1-1111111111-1111-1-1111-1-1111-1-1-11-1-1-1-11111-1-1-1-11-1-1-1-1-111-1-111-1-1-1-1-1-1-11-1-11111111111-1-11-11111-1-1-1-1-11
χ13111111-1-1111111111-1111-1-1111-1-11-1-1111-1-1-111-1-111-1-1-1-1-1111-1-111-1-1-1-111-1-1-1-11-111-1-1-1-1-1-11-1-1-111-111111-1-111-11
χ14111111-1-1111111111-1111-1-1111-1-11-1-1111-1-1-111-1-111-1-1-1-1-11-1-1-1-1-1-111-1-111-1-1-1-11-111-1-111111111-1-1-1111-1-111-1-11-1
χ15111111-1-1111111111-1111-1-1111-1-11-1-111-11-1-1-1-11111-1-1-1-1-111111-1-111-1-1111111-11-1-1111111-1-1-1-111-11-1-1-1-111-1-1-11
χ16111111-1-1111111111-1111-1-1111-1-11-1-111-11-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1-1111111-11-1-111-1-1-1-1-1111-1-1-11-1-111-1-1111-1
χ1722222222-2-22222222-222222-2-2-222-2222200-2-20000-2-222-2-2-2-200000000222200000000000000000000-2-20000000000
χ1822222222-2-22222222-222222-2-2-222-2-2-2-2-200-2-20000-2-222-2-22200000000-2-2-2-200000000000000000000220000000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-222-2-200220000-2-2-2-222-220000000022-2-200000000000000000000-220000000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-22200220000-2-2-2-2222-200000000-2-222000000000000000000002-20000000000
χ2122222-1222222-1-12-1-12-1-1-1222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-12200220000-1-1-1-1-1-1-1-122-1-1-1-10000200000-1-1-1-100000000
χ2222222-1222222-1-12-1-12-1-1-1222-1-1-1-122222-2-22-11111-1-1-1-1-1-12200-2-20000-1-1-1-11111-2-211110000-200000-1-11100000000
χ2322222-1222222-1-12-1-12-1-1-1222-1-1-1-12-2-2-2-2222-1-1-1-1-1-1-1-1-1-1-1-2-200-2-200001111111122-1-1-1-10000-200000111100000000
χ2422222-1222222-1-12-1-12-1-1-1222-1-1-1-12-2-2-2-2-2-22-11111-1-1-1-1-1-1-2-2002200001111-1-1-1-1-2-21111000020000011-1-100000000
χ2522222-122-2-222-1-12-1-1-2-1-1-122-211-1-1-2222200-21−i3i3−i3i311-1-111-2-200000000-1-1-1-1−i3−i3i3i300−i3i3−i3i3000000000011−i3i300000000
χ2622222-122-2-222-1-12-1-1-2-1-1-122-211-1-1-2222200-21i3−i3i3−i311-1-111-2-200000000-1-1-1-1i3i3−i3−i300i3−i3i3−i3000000000011i3−i300000000
χ2722222-122-2-222-1-12-1-1-2-1-1-122-211-1-1-2-2-2-2-200-21−i3i3−i3i311-1-11122000000001111i3i3−i3−i300−i3i3−i3i30000000000-1-1i3−i300000000
χ2822222-122-2-222-1-12-1-1-2-1-1-122-211-1-1-2-2-2-2-200-21i3−i3i3−i311-1-11122000000001111−i3−i3i3i300i3−i3i3−i30000000000-1-1−i3i300000000
χ2922222-1-2-22222-1-12-1-1-2-1-1-1-2-22-1-111222-2-22-2-21-1-111-1-111112-200220000-1-111-1-1-1-12-2-1-1110000-200000-111100000000
χ3022222-1-2-22222-1-12-1-1-2-1-1-1-2-22-1-111222-2-2-22-2111-1-1-1-111112-200-2-20000-1-1111111-2211-1-10000200000-11-1-100000000
χ3122222-1-2-22222-1-12-1-1-2-1-1-1-2-22-1-1112-2-2222-2-21-1-111-1-11111-2200-2-2000011-1-111112-2-1-11100002000001-1-1-100000000
χ3222222-1-2-22222-1-12-1-1-2-1-1-1-2-22-1-1112-2-222-22-2111-1-1-1-11111-220022000011-1-1-1-1-1-1-2211-1-10000-2000001-11100000000
χ3322222-1-2-2-2-222-1-12-1-12-1-1-1-2-2-21111-222-2-2002-1−i3i3i3−i31111-1-1-2200000000-1-111−i3−i3i3i300−i3i3i3−i300000000001-1i3−i300000000
χ3422222-1-2-2-2-222-1-12-1-12-1-1-1-2-2-21111-222-2-2002-1i3−i3−i3i31111-1-1-2200000000-1-111i3i3−i3−i300i3−i3−i3i300000000001-1−i3i300000000
χ3522222-1-2-2-2-222-1-12-1-12-1-1-1-2-2-21111-2-2-222002-1−i3i3i3−i31111-1-12-20000000011-1-1i3i3−i3−i300−i3i3i3−i30000000000-11−i3i300000000
χ3622222-1-2-2-2-222-1-12-1-12-1-1-1-2-2-21111-2-2-222002-1i3−i3−i3i31111-1-12-20000000011-1-1−i3−i3i3i300i3−i3−i3i30000000000-11i3−i300000000
χ372222-122222-1-122-12-12-1-1-1-1-1-12222-1000022-122222-1-1-1-1-1-1002200222200000000-1-1-1-1-1-1000002-1-1-1-10000-1-1-1-10000
χ382222-122222-1-122-12-12-1-1-1-1-1-12222-1000022-122222-1-1-1-1-1-100-2-200-2-2-2-200000000-1-1-1-1-1-100000-21111000011110000
χ392222-122222-1-122-12-12-1-1-1-1-1-12222-10000-2-2-12-2-2-2-2-1-1-1-1-1-1002200-2-2-2-200000000111111000002-1-1-1-1000011110000
χ402222-122222-1-122-12-12-1-1-1-1-1-12222-10000-2-2-12-2-2-2-2-1-1-1-1-1-100-2-20022220000000011111100000-211110000-1-1-1-10000
χ412222-12-2-222-1-122-12-1-2-1-1-111-122-2-2-100002-21-222-2-2-1-1111100220022-2-200000000-11-1-11100000-211-1-10000-1-1110000
χ422222-12-2-222-1-122-12-1-2-1-1-111-122-2-2-100002-21-222-2-2-1-1111100-2-200-2-22200000000-11-1-111000002-1-111000011-1-10000
χ432222-12-2-222-1-122-12-1-2-1-1-111-122-2-2-10000-221-2-2-222-1-11111002200-2-222000000001-111-1-100000-211-1-1000011-1-10000
χ442222-12-2-222-1-122-12-1-2-1-1-111-122-2-2-10000-221-2-2-222-1-1111100-2-20022-2-2000000001-111-1-1000002-1-1110000-1-1110000
χ4522-2-2222-2002-22-2-2-2202-2-22-20002-202-22-200000000002-2000000002−22−22-22-2000000000022−2−200000000002−22−22−200
χ4622-2-2222-2002-22-2-2-2202-2-22-20002-202-22-200000000002-200000000−22−222-22-20000000000−2−2220000000000−22−22−2200
χ4722-2-2222-2002-22-2-2-2202-2-22-20002-20-22-2200000000002-2000000002−22−2-22-220000000000−2−22200000000002−22−2−2200
χ4822-2-2222-2002-22-2-2-2202-2-22-20002-20-22-2200000000002-200000000−22−22-22-22000000000022−2−20000000000−22−222−200
χ4922-2-222-22002-22-2-2-2202-2-2-22000-2202-2-220000000000-22000000002−2−222-2-22000000000022−2−200000000002−2−22−2200
χ5022-2-222-22002-22-2-2-2202-2-2-22000-2202-2-220000000000-2200000000−222−22-2-220000000000−2−2220000000000−222−22−200
χ5122-2-222-22002-22-2-2-2202-2-2-22000-220-222-20000000000-22000000002−2−22-222-20000000000−2−22200000000002−2−222−200
χ5222-2-222-22002-22-2-2-2202-2-2-22000-220-222-20000000000-2200000000−222−2-222-2000000000022−2−20000000000−222−2−2200
χ532-2-222200-22-22-22-2-220-22-200-22-20020000000000002-20000002i−2i2-2000000002-22-20000002i−2i2i−2i00002i−2i000000000000
χ542-2-222200-22-22-22-2-220-22-200-22-20020000000000002-20000002i−2i-2200000000-22-22000000−2i2i−2i2i00002i−2i000000000000
χ552-2-222200-22-22-22-2-220-22-200-22-20020000000000002-2000000−2i2i2-2000000002-22-2000000−2i2i−2i2i0000−2i2i000000000000
χ562-2-222200-22-22-22-2-220-22-200-22-20020000000000002-2000000−2i2i-2200000000-22-220000002i−2i2i−2i0000−2i2i000000000000
χ574444-2444-4-4-2-244-24-2-4-2-2-2-2-22-4-44420000002-4000022-2-2220000000000000000000000000000000000000000000000
χ584444-24-4-4-4-4-2-244-24-24-2-2-2222-4-4-4-42000000-2400002222-2-20000000000000000000000000000000000000000000000
χ594444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2000044-2-2-2-2-2-2111111000000000000000000-2-211110000000000000000000000
χ604444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-20000-4-4-2-2222211111100000000000000000022-1-1-1-10000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-21-4111-2-2222-2-2200000022−2i32i3−2i32i3-1-111-1-100000000000000000000i3−i3i3−i30000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-21-4111-2-2222-2-22000000222i3−2i32i3−2i3-1-111-1-100000000000000000000−i3i3−i3i30000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-21-411122-2-2-222-200004-422-2-22211-1-1-1-1000000000000000000-2211-1-10000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-21-411122-2-2-222-20000-442222-2-211-1-1-1-10000000000000000002-2-1-1110000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-21411122222222000000-2-2−2i32i32i3−2i3-1-1-1-11100000000000000000000i3−i3−i3i30000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-21411122222222000000-2-22i3−2i3−2i32i3-1-1-1-11100000000000000000000−i3i3i3−i30000000000000000000000
χ6744-4-44-24-4004-4-22-42-20-2224-4000-2204-44-40000000000-22000000000000-22-2200000000000000000000000000000000
χ6844-4-44-24-4004-4-22-42-20-2224-4000-220-44-440000000000-220000000000002-22-200000000000000000000000000000000
χ6944-4-44-2-44004-4-22-42-20-222-440002-204-4-4400000000002-2000000000000-222-200000000000000000000000000000000
χ7044-4-44-2-44004-4-22-42-20-222-440002-20-444-400000000002-20000000000002-2-2200000000000000000000000000000000
χ7144-4-4-244-400-224-42-4-20-222-220004-4000000000000000-220000000022−2222−220000000000000000000000000000−22−220000
χ7244-4-4-244-400-224-42-4-20-222-220004-4000000000000000-2200000000−2222−222200000000000000000000000000002−22−20000
χ7344-4-4-24-4400-224-42-4-20-2222-2000-440000000000000002-20000000022−22−22220000000000000000000000000000−222−20000
χ7444-4-4-24-4400-224-42-4-20-2222-2000-440000000000000002-200000000−222222−2200000000000000000000000000002−2−220000
χ754-44-4440000-4-4-4-44440-4-4400000000000000000000000000000000000000000000000000−2i22i22i2−2i2000000000000000000
χ764-44-4440000-4-4-4-44440-4-44000000000000000000000000000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ774-4-4444004-4-44-44-4-440-44-4004-4400-4000000000000-4400000000000000000000000000000000000000000000000000
χ784-4-444-2004-4-442-2-42-202-220042-200-40000000000002-2000000000000000000−2i32i32i3−2i30000000000000000000000000000
χ794-4-444-2004-4-442-2-42-202-220042-200-40000000000002-20000000000000000002i3−2i3−2i32i30000000000000000000000000000
χ804-4-444-200-44-442-2-42-202-2200-4-22004000000000000-22000000004-400000000-22-220000000000000000000000000000
χ814-4-444-200-44-442-2-42-202-2200-4-22004000000000000-2200000000-44000000002-22-20000000000000000000000000000
χ824-4-44-24004-42-2-442-4-202-2200-2-440020000000000002-20000000000000000000000000000000000−2i32i300000000000000
χ834-4-44-24004-42-2-442-4-202-2200-2-440020000000000002-200000000000000000000000000000000002i3−2i300000000000000
χ844-4-44-2400-442-2-442-4-202-220024-400-2000000000000-220000004i−4i0000000000000000000000000000−2i2i000000000000
χ854-4-44-2400-442-2-442-4-202-220024-400-2000000000000-22000000−4i4i00000000000000000000000000002i−2i000000000000
χ8688-8-8-4-48-800-44-4444202-2-2-44000-440000000000000002-2000000000000000000000000000000000000000000000000
χ8788-8-8-4-4-8800-44-4444202-2-24-40004-4000000000000000-22000000000000000000000000000000000000000000000000
χ888-88-88-40000-8-8448-4-4044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ898-88-8-48000044-8-8-48-4044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ908-88-8-4-400004444-4-420-2-220000000000000000000000006-60000000000000000000000000000000000000000000000
χ918-88-8-4-400004444-4-420-2-22000000000000000000000000-660000000000000000000000000000000000000000000000
χ928-8-88-4-4008-84-44-44420-22-200-44-4004000000000000-2200000000000000000000000000000000000000000000000000
χ938-8-88-4-400-884-44-44420-22-2004-4400-40000000000002-200000000000000000000000000000000000000000000000000

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