Finite Group Databasebeta

← Group #11887055

Character table — Group #11887055

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222224444444444444444444444466668888888888888888888881212121212121212121218181818242424242424242424242424242436363636484872
order12223344446666663444666121212121212121212121212121212122222266666666121212121212121212121212446666888888882244121212121212242424242288664
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1
χ4111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ5111111111111111111-1-11111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1
χ6111111111111111111-1-11111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1111
χ7111111111111111111-1-11111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111111111-1-1-1-11
χ8111111111111111111-1-11111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1
χ9111111-1-1111111111-1111111-1-111-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-111-1-111-1-111111-11-11-111-1-111-1-111-1-11-1-1
χ10111111-1-1111111111-1111111-1-111-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-111-1-1-1-111-1-1-1-1-111-11-111-1-1-1-111-1-111-111
χ11111111-1-1111111111-1111111-1-111-1-11111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-11111-11-1-11111-1-1-1-1-1-11-1-11-11-1-11111-1-1-1-1111-11
χ12111111-1-1111111111-1111111-1-111-1-11111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-11111-11-1-111-1-1111111-11-11-11-1-111-1-11111-1-1-11-1
χ13111111-1-1111111111-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111-1-1111111111-1-1-1-111-1-1-1-1-1-11-111-1-111-1-11111-11-111-1-1-11111-1-1-1-1-1-1-111
χ14111111-1-1111111111-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111-1-1111111111-1-1-1-111-1-1-1-1-1-11-111-1-1-1-111-1-1-1-11-1-111-1-1-111-1-11111111-1-1
χ15111111-1-1111111111-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11-1-111111111111-1-1-1-111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-111-1-1111-1-111-1-11111-11-1
χ16111111-1-1111111111-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11-1-111111111111-1-1-1-111-1-1-1-1-1-1-11-1-111-1-11111111-11-1-1111-1-1-1-111-1-1-1-11-11
χ1722222222-2-22222222-200222-222-2-22200002222-22222000000000-2-200-2-2-2-20000-2-22222000000000000-2-2000000000000000
χ1822222222-2-22222222-200222-222-2-22200002222-2-2-2-2-2000000000-2-200-2-2-2-2000022-2-2-2-200000000000022000000000000000
χ19222222-2-2-2-22222222200222-2-2-2-2-2-2-20000-2-2-2-2-222-2-20000000002200-2-2220000-2222-2-2000000000000-22000000000000000
χ20222222-2-2-2-22222222200222-2-2-2-2-2-2-20000-2-2-2-2-2-2-2220000000002200-2-22200002-2-2-2220000000000002-2000000000000000
χ2122222-122222-1-1-122-1222-1-1-1-1-1-122222222-1-1-1-1-10000222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1000000222200002200000000-1-1-1-10000-1-10
χ2222222-122222-1-1-122-1222-1-1-1-1-1-122222222-1-1-1-1-10000222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-20000-2-20000000011110000110
χ2322222-122222-1-1-122-12-2-2-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-10000-2-2-21111112-111-1-1-1-1111100000022220000-2-200000000-1-1-1-10000110
χ2422222-122222-1-1-122-12-2-2-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-10000-2-2-21111112-111-1-1-1-11111000000-2-2-2-20000220000000011110000-1-10
χ2522222-1-2-2222-1-1-122-1-222-1-1-1-11122-2-222221111-10000-2-2-2111111-21-1-1-1-111-1-1-1-100000022-2-200002-200000000-1-1110000-110
χ2622222-1-2-2222-1-1-122-1-222-1-1-1-11122-2-222221111-10000-2-2-2111111-21-1-1-1-111-1-1-1-1000000-2-2220000-220000000011-1-100001-10
χ2722222-1-2-2222-1-1-122-1-2-2-2-1-1-1-11122-2-2-2-2-2-21111-10000222-1-1-1-1-1-1-2111-1-111111100000022-2-20000-2200000000-1-11100001-10
χ2822222-1-2-2222-1-1-122-1-2-2-2-1-1-1-11122-2-2-2-2-2-21111-10000222-1-1-1-1-1-1-2111-1-1111111000000-2-22200002-20000000011-1-10000-110
χ292222-122222-1222-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-122-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-1000000000022-1-1-1-1-1-100000000000
χ302222-122222-1222-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-22-1-122-1-1-1-1-1222-1-1-1-1-1-1-1-1-2-211110000000000-2-211111100000000000
χ312222-122222-1222-1-1-12-2-2-1-1-1222-1-1-1-11111-1-1-1-122222-211-2-21111-12-2-2-1-1-1-1111122-1-1-1-10000000000-2-2-1-1111100000000000
χ322222-122222-1222-1-1-12-2-2-1-1-1222-1-1-1-11111-1-1-1-12-2-2-2-2-211-2-21111-12-2-2-1-1-1-11111-2-2111100000000002211-1-1-1-100000000000
χ332222-1222-2-2-1222-1-1-1-200-1-1-1-22211-1-1−i3−i3i3i3-1-1-1-1-222220−i3i300−i3−i3i3i31-2001111−i3−i3i3i3-2-2-1-1-1-100000000000011−i3i3−i3i300000000000
χ342222-1222-2-2-1222-1-1-1-200-1-1-1-22211-1-1−i3−i3i3i3-1-1-1-1-2-2-2-2-20−i3i300−i3−i3i3i31-2001111−i3−i3i3i3221111000000000000-1-1i3−i3i3−i300000000000
χ352222-1222-2-2-1222-1-1-1-200-1-1-1-22211-1-1i3i3−i3−i3-1-1-1-1-222220i3−i300i3i3−i3−i31-2001111i3i3−i3−i3-2-2-1-1-1-100000000000011i3−i3i3−i300000000000
χ362222-1222-2-2-1222-1-1-1-200-1-1-1-22211-1-1i3i3−i3−i3-1-1-1-1-2-2-2-2-20i3−i300i3i3−i3−i31-2001111i3i3−i3−i3221111000000000000-1-1−i3i3−i3i300000000000
χ372222-12-2-222-1222-1-1-1-222-1-1-12-2-2-1-111-1-1-1-11111222-2-2-211-2-211111-222-1-111-1-1-1-12-2-1-11100000000002-2-11-1-11100000000000
χ382222-12-2-222-1222-1-1-1-222-1-1-12-2-2-1-111-1-1-1-111112-2-222-211-2-211111-222-1-111-1-1-1-1-2211-1-10000000000-221-111-1-100000000000
χ392222-12-2-222-1222-1-1-1-2-2-2-1-1-12-2-2-1-11111111111222-2-22-1-122-1-1-1-11-2-2-2-1-11111112-2-1-1110000000000-22-1111-1-100000000000
χ402222-12-2-222-1222-1-1-1-2-2-2-1-1-12-2-2-1-111111111112-2-2222-1-122-1-1-1-11-2-2-2-1-1111111-2211-1-100000000002-21-1-1-11100000000000
χ412222-12-2-2-2-2-1222-1-1-1200-1-1-1-2-2-21111−i3−i3i3i31111-222-2-20i3−i300i3i3−i3−i3-120011-1-1−i3−i3i3i3-22-1-1110000000000001-1−i3i3i3−i300000000000
χ422222-12-2-2-2-2-1222-1-1-1200-1-1-1-2-2-21111−i3−i3i3i31111-2-2-2220i3−i300i3i3−i3−i3-120011-1-1−i3−i3i3i32-211-1-1000000000000-11i3−i3−i3i300000000000
χ432222-12-2-2-2-2-1222-1-1-1200-1-1-1-2-2-21111i3i3−i3−i31111-222-2-20−i3i300−i3−i3i3i3-120011-1-1i3i3−i3−i3-22-1-1110000000000001-1i3−i3−i3i300000000000
χ442222-12-2-2-2-2-1222-1-1-1200-1-1-1-2-2-21111i3i3−i3−i31111-2-2-2220−i3i300−i3−i3i3i3-120011-1-1i3i3−i3−i32-211-1-1000000000000-11−i3i3i3−i300000000000
χ452-22-222002-2-22-2-22-2202i−2i2-2-22002-2002i−2i2i−2i0000-20000000000000002i−2i2-2002i−2i2i−2i00000000002i2i−2i−2i000000000000002-200000
χ462-22-222002-2-22-2-22-2202i−2i2-2-22002-2002i−2i2i−2i0000-20000000000000002i−2i2-2002i−2i2i−2i0000000000−2i−2i2i2i00000000000000-2200000
χ472-22-222002-2-22-2-22-220−2i2i2-2-22002-200−2i2i−2i2i0000-2000000000000000−2i2i2-200−2i2i−2i2i00000000002i2i−2i−2i00000000000000-2200000
χ482-22-222002-2-22-2-22-220−2i2i2-2-22002-200−2i2i−2i2i0000-2000000000000000−2i2i2-200−2i2i−2i2i0000000000−2i−2i2i2i000000000000002-200000
χ492-2-22222-200-2-2-22-222000-2-2202-2002-2000022-2-202-22-2000000000000000000000002-22-22−22−22−22−200000000002−22−2002−2000
χ502-2-22222-200-2-2-22-222000-2-2202-2002-2000022-2-202-22-2000000000000000000000002-22-2−22−22−22−220000000000−22−2200−22000
χ512-2-22222-200-2-2-22-222000-2-2202-2002-2000022-2-20-22-2200000000000000000000000-22-222−22−2−22−2200000000002−22−200−22000
χ522-2-22222-200-2-2-22-222000-2-2202-2002-2000022-2-20-22-2200000000000000000000000-22-22−22−222−22−20000000000−22−22002−2000
χ532-2-2222-2200-2-2-22-222000-2-220-2200-220000-2-22202-2-22000000000000000000000002-2-222−2−222−22−200000000002−2−2200−22000
χ542-2-2222-2200-2-2-22-222000-2-220-2200-220000-2-22202-2-22000000000000000000000002-2-22−222−2−22−220000000000−222−2002−2000
χ552-2-2222-2200-2-2-22-222000-2-220-2200-220000-2-2220-222-200000000000000000000000-222-22−2−22−22−2200000000002−2−22002−2000
χ562-2-2222-2200-2-2-22-222000-2-220-2200-220000-2-2220-222-200000000000000000000000-222-2−222−22−22−20000000000−222−200−22000
χ5744444-244-4-44-2-2-244-2-400-2-2-22-2-2-4-4440000-2-2-2-220000000000000-42002222000000000000000000000000000000000000000
χ5844444-2-4-4-4-44-2-2-244-2400-2-2-2222-4-4-4-400002222200000000000004-20022-2-2000000000000000000000000000000000000000
χ594444-2-24444-2-2-2-2-2-21444111-2-2-2-2-2-2-2-2-2-2-21111-200004-2-2-2-21111-2-2-2-21111111100000000000000000000000000000000000
χ604444-2-24444-2-2-2-2-2-214-4-4111-2-2-2-2-2-2-222221111-20000-42222-1-1-1-1-2-2221111-1-1-1-100000000000000000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-21-4001112-2-222-2-2−2i3−2i32i32i31111200000−2i32i300i3i3−i3−i32200-1-1-1-1i3i3−i3−i300000000000000000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-21-4001112-2-222-2-22i32i3−2i3−2i311112000002i3−2i300−i3−i3i3i32200-1-1-1-1−i3−i3i3i300000000000000000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-21-444111-222-2-222-2-2-2-2-1-1-1-1-20000-42222-1-1-1-122-2-211-1-1111100000000000000000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-21-4-4-4111-222-2-2222222-1-1-1-1-200004-2-2-2-21111222211-1-1-1-1-1-100000000000000000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-214001112222222−2i3−2i32i32i3-1-1-1-12000002i3−2i300−i3−i3i3i3-2-200-1-111i3i3−i3−i300000000000000000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-2140011122222222i32i3−2i3−2i3-1-1-1-1200000−2i32i300i3i3−i3−i3-2-200-1-111−i3−i3i3i300000000000000000000000000000000000
χ6744-4-44400004-44-4-4-44000-44-4000000000000000000000000000000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ6844-4-44400004-44-4-4-44000-44-40000000000000000000000000000000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ694-44-44400-44-44-4-44-440004-4-4-400-440000000000400000000000000000-4400000000000000000000000000000000000000000
χ704-44-44-2004-4-4-2224-4-204i−4i-222-2004-4004i−4i4i−4i00002000000000000000−2i2i-2200−2i2i−2i2i00000000000000000000000000000000000
χ714-44-44-2004-4-4-2224-4-20−4i4i-222-2004-400−4i4i−4i4i000020000000000000002i−2i-22002i−2i2i−2i00000000000000000000000000000000000
χ724-44-44-200-44-4-2224-4-2000-222200-440000000000-20000000−2i32i3−2i32i3−2i32i300002-200000000000000000000000000000000000000000
χ734-44-44-200-44-4-2224-4-2000-222200-440000000000-200000002i3−2i32i3−2i32i3−2i300002-200000000000000000000000000000000000000000
χ744-44-4-24004-424-4-4-22-204i−4i-222400-2200−2i2i−2i2i0000-40000000000000004i−4i-2200−2i2i−2i2i00000000000000000000000000000000000
χ754-44-4-24004-424-4-4-22-20−4i4i-222400-22002i−2i2i−2i0000-4000000000000000−4i4i-22002i−2i2i−2i00000000000000000000000000000000000
χ764-44-4-2400-4424-4-4-22-2000-222-4002-20023−23−232300004000000000000000002-20023−23−232300000000000000000000000000000000000
χ774-44-4-2400-4424-4-4-22-2000-222-4002-200−232323−2300004000000000000000002-200−232323−2300000000000000000000000000000000000
χ784-44-4-2-2004-42-222-22104i−4i1-1-1-200-2200−2i2i−2i2i3i−3i3i−3i20000000003-3-3300−2i2i1-13i−3ii−ii−i00000000000000000000000000000000000
χ794-44-4-2-2004-42-222-22104i−4i1-1-1-200-2200−2i2i−2i2i−3i3i−3i3i2000000000-333-300−2i2i1-1−3i3ii−ii−i00000000000000000000000000000000000
χ804-44-4-2-2004-42-222-2210−4i4i1-1-1-200-22002i−2i2i−2i3i−3i3i−3i2000000000-333-3002i−2i1-13i−3i−ii−ii00000000000000000000000000000000000
χ814-44-4-2-2004-42-222-2210−4i4i1-1-1-200-22002i−2i2i−2i−3i3i−3i3i20000000003-3-33002i−2i1-1−3i3i−ii−ii00000000000000000000000000000000000
χ824-44-4-2-200-442-222-2210001-1-12002-20023−23−23233i−3i3i−3i-200000002i3−2i3−i3i3−i3i30000-11−3i3i−333−300000000000000000000000000000000000
χ834-44-4-2-200-442-222-2210001-1-12002-20023−23−2323−3i3i−3i3i-20000000−2i32i3i3−i3i3−i30000-113i−3i−333−300000000000000000000000000000000000
χ844-44-4-2-200-442-222-2210001-1-12002-200−232323−233i−3i3i−3i-20000000−2i32i3i3−i3i3−i30000-11−3i3i3−3−3300000000000000000000000000000000000
χ854-44-4-2-200-442-222-2210001-1-12002-200−232323−23−3i3i−3i3i-200000002i3−2i3−i3i3−i3i30000-113i−3i3−3−3300000000000000000000000000000000000
χ864-4-444-24-400-422-2-44-200022-20-22004-40000-2-2220000000000000000000000000000000022−2222−2200000000000000−22−220000000
χ874-4-444-24-400-422-2-44-200022-20-22004-40000-2-22200000000000000000000000000000000−2222−2222000000000000002−22−20000000
χ884-4-444-2-4400-422-2-44-200022-202-200-44000022-2-20000000000000000000000000000000022−22−222200000000000000−222−20000000
χ894-4-444-2-4400-422-2-44-200022-202-200-44000022-2-200000000000000000000000000000000−222222−22000000000000002−2−220000000
χ904-4-44-244-4002-4-442-2-200022-204-400-220000-2-22204-44-400000000000000000000000-22-2200000000000000000000000000000
χ914-4-44-244-4002-4-442-2-200022-204-400-220000-2-2220-44-44000000000000000000000002-22-200000000000000000000000000000
χ924-4-44-24-44002-4-442-2-200022-20-44002-2000022-2-204-4-4400000000000000000000000-222-200000000000000000000000000000
χ934-4-44-24-44002-4-442-2-200022-20-44002-2000022-2-20-444-4000000000000000000000002-2-2200000000000000000000000000000
χ9488-8-88-4000084-44-8-8-40004-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-480000-4-88-844-40004-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-40000-44-44442000-22-2000000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000000
χ9788-8-8-4-40000-44-44442000-22-200000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-48-800444-44-42000-2-220-4400-44000022-2-20000000000000000000000000000000000000000000000000000000000000
χ998-8-88-4-4-8800444-44-42000-2-2204-4004-40000-2-2220000000000000000000000000000000000000000000000000000000000000

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