Finite Group Databasebeta

← Group #11869387

Character table — Group #11869387

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444666688888888888888899991212121212121212121212121212161616161616181824242424242424242424242436363636484872
order122233446666663446668812121212222241212121212122424242424242424222244444466668888121212121212444412121212121224242424448812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111111111111-1-1-1-111-1-11-111-1-111-1-1111111-1-11-11-111-1-111-1-1-1-1-1-11-1-1
χ311111111111111111111111111-1-111111111111111111-1-1-1-1-1-111-11-1-111-1-111111111-1-1-11-11-1-111-1-111-1-1-1-1-11-1
χ411111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ511111111111111111111-1-111111111-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-111-1-1-1-1-1
χ611111111111111111111-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-111-1-1-1-111-1-111-1-1-1-1-111-111-1-1-1-111-1-111-111
χ711111111111111111111-1-11111-1-111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-11111-1-1-1-111-1-1-1-11-1-11-1-11111-1-1-1-1111-11
χ811111111111111111111-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1111111-1-111-1
χ9111111111111111-1-11111111111111-1-1-1-1-111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-1-1
χ10111111111111111-1-111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111-111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-111-1-1-111
χ11111111111111111-1-1111111111-1-111-1-1-1-1-11111111111-1-1-1-111-1-1-11-1-111-1-111-1-1-1-1-1-1-1-11-1-1111-1-1-1-11111-1-11-11
χ12111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1
χ13111111111111111-1-1111-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111
χ14111111111111111-1-1111-1-1111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-11111-1-111-1-11-11-1-1-111-1-11111111-1-1
χ15111111111111111-1-1111-1-11111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-11111-1-111-1-111-1-1-11-1111-1-111-1-11111-11-1
χ16111111111111111-1-1111-1-11111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-11111-1-1-1-111111111-1-1-1-1-1-11
χ17222222-2-222222220022200-2-2-2-2222200000-2-20000000022220000-2-222220000000000-2-200-2-2000000000000000
χ18222222-2-222222220022200-2-2-2-222-2-200000-2-200000000-2-2-2-20000-2222-2-200000000002200-22000000000000000
χ19222222-2-222222220022200-2-2-2-2-2-22200000-2-200000000-2-2-2-200002-2-2-222000000000022002-2000000000000000
χ20222222-2-222222220022200-2-2-2-2-2-2-2-200000-2-2000000002222000022-2-2-2-20000000000-2-20022000000000000000
χ2122222-12222-1-12-1-122-1-1-1222-12-10022222-1-1-1-122-1-1-1-1-1-1000000220200-1-100222-1-1-1-1-100020-100-1-100-1-100000-10
χ2222222-12222-1-12-1-122-1-1-1222-12-100-2-2222-1-1-1-122-1-1-1-1-1-1000000-2-20-2001100-2-22-1-1-1-1-1000-201001100110000010
χ2322222-12222-1-12-1-122-1-1-1-2-22-12-10022-222-1-1-1-1-2-2111111000000220200-1-100-2-2-21-1-111000-20-100-1-100110000010
χ2422222-12222-1-12-1-122-1-1-1-2-22-12-100-2-2-222-1-1-1-1-2-2111111000000-2-20-200110022-21-1-111000201001100-1-100000-10
χ2522222-12222-1-12-1-1-2-2-1-1-1222-12-10022-2-2-211-1-122-1-1-1-1-1-1000000-2-20200-1-10022-211111000-20-1001100-1-10000010
χ2622222-12222-1-12-1-1-2-2-1-1-1222-12-100-2-2-2-2-211-1-122-1-1-1-1-1-1000000220-2001100-2-2-21111100020100-1-1001100000-10
χ2722222-12222-1-12-1-1-2-2-1-1-1-2-22-12-100222-2-211-1-1-2-2111111000000-2-20200-1-100-2-22-111-1-100020-10011001100000-10
χ2822222-12222-1-12-1-1-2-2-1-1-1-2-22-12-100-2-22-2-211-1-1-2-2111111000000220-2001100222-111-1-1000-20100-1-100-1-10000010
χ292222-1222-1-122-12-122-1-1-122-12-1222002-1-122-1-1-1-122-1-1-1-10000220020-1-1002200-12-1-1-1-10020-10-1-100-1-1000000-100
χ302222-1222-1-122-12-122-1-1-122-12-12-2-2002-1-122-1-1-1-122-1-1-1-10000-2-200-201100-2-200-12-1-1-1-100-2010110011000000100
χ312222-1222-1-122-12-122-1-1-1-2-2-12-122200-2-1-122-1-111-2-211110000220020-1-100-2-2001-2-1-11100-20-10-1-10011000000100
χ322222-1222-1-122-12-122-1-1-1-2-2-12-12-2-200-2-1-122-1-111-2-211110000-2-200-20110022001-2-1-1110020101100-1-1000000-100
χ332222-1222-1-122-12-1-2-2-1-1-122-12-122200-211-2-2-1-1-1-122-1-1-1-10000-2-20020-1-10022001-2111100-20-101100-1-1000000100
χ342222-1222-1-122-12-1-2-2-1-1-122-12-12-2-200-211-2-2-1-1-1-122-1-1-1-100002200-201100-2-2001-21111002010-1-10011000000-100
χ352222-1222-1-122-12-1-2-2-1-1-1-2-2-12-122200211-2-2-1-111-2-211110000-2-20020-1-100-2-200-1211-1-10020-10110011000000-100
χ362222-1222-1-122-12-1-2-2-1-1-1-2-2-12-12-2-200211-2-2-1-111-2-2111100002200-2011002200-1211-1-100-2010-1-100-1-1000000100
χ372-22-22200-2-2-2-222200-22-2i2−i200002-22-20000000i2−i2i2−i2i2i2−i2−i222-2-20000002-22-2i2−i2i2−i20000000000000000i2−i2i2−i200i2−i2000
χ382-22-22200-2-2-2-222200-22-2i2−i200002-2-220000000i2−i2i2−i2i2i2−i2−i2-2-2220000002-2-22i2−i2−i2i20000000000000000i2−i2−i2i200−i2i2000
χ392-22-22200-2-2-2-222200-22-2i2−i20000-222-20000000i2−i2i2−i2i2i2−i2−i2-2-222000000-222-2−i2i2i2−i20000000000000000−i2i2i2−i200−i2i2000
χ402-22-22200-2-2-2-222200-22-2i2−i20000-22-220000000i2−i2i2−i2i2i2−i2−i222-2-2000000-22-22−i2i2−i2i20000000000000000−i2i2−i2i200i2−i2000
χ412-22-22200-2-2-2-222200-22-2−i2i200002-22-20000000−i2i2−i2i2−i2−i2i2i222-2-20000002-22-2−i2i2−i2i20000000000000000−i2i2−i2i200−i2i2000
χ422-22-22200-2-2-2-222200-22-2−i2i200002-2-220000000−i2i2−i2i2−i2−i2i2i2-2-2220000002-2-22−i2i2i2−i20000000000000000−i2i2i2−i200i2−i2000
χ432-22-22200-2-2-2-222200-22-2−i2i20000-222-20000000−i2i2−i2i2−i2−i2i2i2-2-222000000-222-2i2−i2−i2i20000000000000000i2−i2−i2i200i2−i2000
χ442-22-22200-2-2-2-222200-22-2−i2i20000-22-220000000−i2i2−i2i2−i2−i2i2i222-2-2000000-22-22i2−i2i2−i20000000000000000i2−i2i2−i200−i2i2000
χ452-2-22222-22-22-2-2-222i−2i-2-2200-2-222000002i−2i2i−2i2-2000000002-22-200000000000000002i−2i002-20000000000002i−2i00000
χ462-2-22222-22-22-2-2-222i−2i-2-2200-2-222000002i−2i2i−2i2-200000000-22-2200000000000000002i−2i00-22000000000000−2i2i00000
χ472-2-22222-22-22-2-2-22−2i2i-2-2200-2-22200000−2i2i−2i2i2-2000000002-22-20000000000000000−2i2i002-2000000000000−2i2i00000
χ482-2-22222-22-22-2-2-22−2i2i-2-2200-2-22200000−2i2i−2i2i2-200000000-22-220000000000000000−2i2i00-220000000000002i−2i00000
χ492-2-2222-222-22-2-2-2200-2-220022-2-2000000000-22000000002-22-22i−2i2i−2i0000000000000000-2200002i−2i2i−2i00000000000
χ502-2-2222-222-22-2-2-2200-2-220022-2-2000000000-22000000002-22-2−2i2i−2i2i0000000000000000-220000−2i2i−2i2i00000000000
χ512-2-2222-222-22-2-2-2200-2-220022-2-2000000000-2200000000-22-222i−2i−2i2i00000000000000002-200002i−2i−2i2i00000000000
χ522-2-2222-222-22-2-2-2200-2-220022-2-2000000000-2200000000-22-22−2i2i2i−2i00000000000000002-20000−2i2i2i−2i00000000000
χ5344444-2-4-444-2-24-2-200-2-2-200-42-420044000002200000000000000000-400-2-20000000000000002000000000000000
χ5444444-2-4-444-2-24-2-200-2-2-200-42-4200-4-400000220000000000000000040022000000000000000-2000000000000000
χ554444-24-4-4-2-244-24-200-2-2-2002-42-4440000000220000000000000000-40-2-2000000000000000020000000000000000
χ564444-24-4-4-2-244-24-200-2-2-2002-42-4-4-4000000022000000000000000040220000000000000000-20000000000000000
χ574444-2-244-2-2-2-2-2-214411144-2-2-2-200004-2-2-2-211-2-2-2-21111000000000000000000-2-21111000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-20000-4-2-2-2-2112222-1-1-1-10000000000000000002211-1-1000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-411144-2-2-2-20000-4222211-2-2-2-2111100000000000000000022-1-1-1-1000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-2000042222112222-1-1-1-1000000000000000000-2-2-1-111000000000000000000000
χ6144-4-44400-44-44-4-44004-4-400000000000000000000000004-4-4400000000000000000000000000000000000000000
χ6244-4-44400-44-44-4-44004-4-40000000000000000000000000-444-400000000000000000000000000000000000000000
χ634-44-44-200-4-4224-2-2002-222i2−2i20000004-400000002i2−2i2−i2i2−i2−i2i2i2000000000000-22002i2−2i2000000000000000000−i2i20000000
χ644-44-44-200-4-4224-2-2002-222i2−2i2000000-4400000002i2−2i2−i2i2−i2−i2i2i20000000000002-200−2i22i2000000000000000000i2−i20000000
χ654-44-44-200-4-4224-2-2002-22−2i22i20000004-40000000−2i22i2i2−i2i2i2−i2−i2000000000000-2200−2i22i2000000000000000000i2−i20000000
χ664-44-44-200-4-4224-2-2002-22−2i22i2000000-440000000−2i22i2i2−i2i2i2−i2−i20000000000002-2002i2−2i2000000000000000000−i2i20000000
χ674-44-4-240022-4-4-24-2002-222i2−2i200004-4000000000−i2i22i2−2i2−i2−i2i2i20000000000-22002i2−2i2000000000000000000−i2i2000000000
χ684-44-4-240022-4-4-24-2002-222i2−2i20000-44000000000−i2i22i2−2i2−i2−i2i2i200000000002-200−2i22i2000000000000000000i2−i2000000000
χ694-44-4-240022-4-4-24-2002-22−2i22i200004-4000000000i2−i2−2i22i2i2i2−i2−i20000000000-2200−2i22i2000000000000000000i2−i2000000000
χ704-44-4-240022-4-4-24-2002-22−2i22i20000-44000000000i2−i2−2i22i2i2i2−i2−i200000000002-2002i2−2i2000000000000000000−i2i2000000000
χ714-4-444-24-44-4-22-42-24i−4i22-200-424-2000004i−4i−2i2i-220000000000000000000000000000−2i2i00000000000000000000000
χ724-4-444-24-44-4-22-42-2−4i4i22-200-424-200000−4i4i2i−2i-2200000000000000000000000000002i−2i00000000000000000000000
χ734-4-444-2-444-4-22-42-20022-2004-2-420000000002-2000000000000004i−4i000000000000000000000000−2i2i00000000000
χ744-4-444-2-444-4-22-42-20022-2004-2-420000000002-200000000000000−4i4i0000000000000000000000002i−2i00000000000
χ754-4-44-244-4-224-42-4-24i−4i22-2002-4-2400000−2i2i4i−4i-220000000000000000000000000000−2i2i00000000000000000000000
χ764-4-44-244-4-224-42-4-2−4i4i22-2002-4-24000002i−2i−4i4i-2200000000000000000000000000002i−2i00000000000000000000000
χ774-4-44-24-44-224-42-4-20022-200-242-40000000002-20000000000004i−4i000000000000000000000000−2i2i0000000000000
χ784-4-44-24-44-224-42-4-20022-200-242-40000000002-2000000000000−4i4i0000000000000000000000002i−2i0000000000000
χ794-4-44-2-24-4-22-222214i−4i-1-110022-2-200000−2i2i−2i2i1-100003i−3i3i−3i00000000000000000000i−i3-3000000000000000000000
χ804-4-44-2-24-4-22-222214i−4i-1-110022-2-200000−2i2i−2i2i1-10000−3i3i−3i3i00000000000000000000i−i-33000000000000000000000
χ814-4-44-2-24-4-22-22221−4i4i-1-110022-2-2000002i−2i2i−2i1-100003i−3i3i−3i00000000000000000000−ii-33000000000000000000000
χ824-4-44-2-24-4-22-22221−4i4i-1-110022-2-2000002i−2i2i−2i1-10000−3i3i−3i3i00000000000000000000−ii3-3000000000000000000000
χ838888-4-4-8-8-4-4-4-4-4-4200222004444000000000-2-200000000000000000000000000000000000000000000000000000
χ8488-8-88-400-884-4-84-400-4440000000000000000000000000000000000000000000000000000000000000000000000
χ8588-8-8-48004-4-884-8-400-4440000000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-4004-44-4442002-2-200000000000000000000032−32−3232000000000000000000000000000000000000000000000
χ8788-8-8-4-4004-44-4442002-2-2000000000000000000000−323232−32000000000000000000000000000000000000000000000
χ888-88-8-4-4004444-4-4200-22-24i2−4i2000000000000000−2i22i2−2i22i2i2i2−i2−i2000000000000000000000000000000000000000000000
χ898-88-8-4-4004444-4-4200-22-2−4i24i20000000000000002i2−2i22i2−2i2−i2−i2i2i2000000000000000000000000000000000000000000000
χ908-8-88-4-4-88-44-4444200-2-2200-4-444000000000-2200000000000000000000000000000000000000000000000000000

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