Finite Group Databasebeta

← Group #11864387

Character table — Group #11864387

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222244444444444444446666666688888888888888812121212121212121212121212121212161616161624242424242424242424242436363636487272
order122233446666663446668812121212242424242244121212124121212121212121224242424242422222466881212242424241212121212446666681212242422241248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-11111111111-111-1-1-1-111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-11111-1-1-1-111-1-1-1-111111-11-1-11111-1-111-1-1-1-11-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ511111111111111111111-1-11111-1-1-1-111111111-1-1-1111111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-111-1-111111-1-1-1-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-111111111-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1111-1-1-11-1-111-1-1-1-1111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1111-1-1-1111-111-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-11111-1-1-1-1-11111111111-1-1
χ9111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-111-1-11111-1-11111-1-1-1-1-1-11-1-111-1-1-1-1-1-111-1-111-1
χ10111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11
χ11111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111-11
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-11-111-1-111111111-1-1-11-1
χ13111111111111111-1-1111-1-11111-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111-1-11-1-1-111-11111111-1-1-1-11
χ14111111111111111-1-1111-1-11111-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111-1-111-1-1-1-11-111-1-1-1-11111-1
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111111-1-1-1-11111-11-1-111-1-111-11-1
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-111-1-111-1-111111111111-1-1-1111-1-11-1-1-1-1-111-1-11-11
χ17222222-2-222222220022200-2-2-2-2000022-2-2-2-2-2-20000000-2-200000000002-22200-2-200000000000000020000000-22000
χ18222222-2-222222220022200-2-2-2-2000022-2-2-2-2-2-20000000-2-20000000000-22220022000000000000000-200000002-2000
χ19222222-2-222222220022200-2-2-2-20000-2-22222220000000-2-200000000002-2-2-200-2-2000000000000000200000002-2000
χ20222222-2-222222220022200-2-2-2-20000-2-22222220000000-2-20000000000-22-2-20022000000000000000-20000000-22000
χ2122222-12222-1-1-12-122-1-1-122-122-1-1-1-1-12222-1-1-1-12-1-1-1-122-1-122-1-1-1-1220000-1-12200-1-1-1-12-1-1-1-120-1-10000-1-1000000000
χ2222222-12222-1-1-12-122-1-1-122-122-1-1-1-1-1-2-2-2-211112-1-1-1-122-1-122-1-1-1-1-2-2000011-2-20011112-1-1-1-1-2011000011000000000
χ2322222-12222-1-1-12-122-1-1-1-2-2-122-111112222-1-1-1-1-211-1-122-1-1-2-21111220000-1-1-2-2001111-211-1-1-20-1-1000011000000000
χ2422222-12222-1-1-12-122-1-1-1-2-2-122-11111-2-2-2-21111-211-1-122-1-1-2-21111-2-20000112200-1-1-1-1-211-1-120110000-1-1000000000
χ2522222-12222-1-1-12-1-2-2-1-1-122-122-1-1-1-1-12222-1-1-1-1-21111-2-2-1-122-1-1-1-1-2-20000-1-12200-1-1-1-1-21111-2011000011000000000
χ2622222-12222-1-1-12-1-2-2-1-1-122-122-1-1-1-1-1-2-2-2-21111-21111-2-2-1-122-1-1-1-122000011-2-2001111-2111120-1-10000-1-1000000000
χ2722222-12222-1-1-12-1-2-2-1-1-1-2-2-122-111112222-1-1-1-12-1-111-2-2-1-1-2-21111-2-20000-1-1-2-20011112-1-11120110000-1-1000000000
χ2822222-12222-1-1-12-1-2-2-1-1-1-2-2-122-11111-2-2-2-211112-1-111-2-2-1-1-2-21111220000112200-1-1-1-12-1-111-20-1-1000011000000000
χ292222-1222-1-1222-1-122-1-1-1222-1-1222220000000022222-1-1-1-1-1-1-1-1-1-10022220000-1-10000-1-1-1-1-10200-1-1-1200-1-10000-100
χ302222-1222-1-1222-1-122-1-1-1222-1-1222220000000022222-1-1-1-1-1-1-1-1-1-100-2-2-2-20000110000-1-1-1-1-10-200111-200110000100
χ312222-1222-1-1222-1-122-1-1-1-2-22-1-12-2-2-2-200000000-2-2-222-1-1-1-11111110022220000-1-10000111-1-10-200-1-1-1-200110000100
χ322222-1222-1-1222-1-122-1-1-1-2-22-1-12-2-2-2-200000000-2-2-222-1-1-1-111111100-2-2-2-20000110000111-1-10200111200-1-10000-100
χ332222-1222-1-1222-1-1-2-2-1-1-1222-1-12222200000000-2-2-2-2-211-1-1-1-1-1-1-1-10022-2-20000110000111110200-1-11-200110000-100
χ342222-1222-1-1222-1-1-2-2-1-1-1222-1-12222200000000-2-2-2-2-211-1-1-1-1-1-1-1-100-2-2220000-1-10000111110-20011-1200-1-10000100
χ352222-1222-1-1222-1-1-2-2-1-1-1-2-22-1-12-2-2-2-200000000222-2-211-1-11111110022-2-20000110000-1-1-1110-200-1-11200-1-10000100
χ362222-1222-1-1222-1-1-2-2-1-1-1-2-22-1-12-2-2-2-200000000222-2-211-1-111111100-2-2220000-1-10000-1-1-111020011-1-200110000-100
χ372-2-22222-2-2-2-22-22200-2-2200-22-2200002-22-222-2-20000000-22000000002-2002-2000000000000000002-20000002-200000
χ382-2-22222-2-2-2-22-22200-2-2200-22-2200002-22-222-2-20000000-2200000000-22002-200000000000000000-22000000-2200000
χ392-2-22222-2-2-2-22-22200-2-2200-22-220000-22-22-2-2220000000-22000000002-200-22000000000000000002-2000000-2200000
χ402-2-22222-2-2-2-22-22200-2-2200-22-220000-22-22-2-2220000000-2200000000-2200-2200000000000000000-220000002-200000
χ412-2-2222-22-2-2-22-2222-2-2-22002-22-200002-2-22-2-2220002-22-22-20000002-200002-2000000000002-2002-2000000000000000
χ422-2-2222-22-2-2-22-2222-2-2-22002-22-20000-222-222-2-20002-22-22-2000000-220000-22000000000002-200-22000000000000000
χ432-2-2222-22-2-2-22-222-22-2-22002-22-200002-2-22-2-222000-22-222-2000000-2200002-200000000000-2200-22000000000000000
χ442-2-2222-22-2-2-22-222-22-2-22002-22-20000-222-222-2-2000-22-222-20000002-20000-2200000000000-22002-2000000000000000
χ452-2-222-1-22-2-21-112-12-211-100-1-22133−3−32-2-2211-1-103−3-112-2-110033−3−32-20000-11000033−3−303−3-1100-1100003−3000000000
χ462-2-222-1-22-2-21-112-12-211-100-1-22133−3−3-222-2-1-11103−3-112-2-110033−3−3-2200001-10000−3−33303−3-11001-10000−33000000000
χ472-2-222-1-22-2-21-112-12-211-100-1-221−3−3332-2-2211-1-10−33-112-2-1100−3−3332-20000-110000−3−3330−33-1100-110000−33000000000
χ482-2-222-1-22-2-21-112-12-211-100-1-221−3−333-222-2-1-1110−33-112-2-1100−3−333-2200001-1000033−3−30−33-11001-100003−3000000000
χ492-2-222-1-22-2-21-112-1-2211-100-1-22133−3−32-2-2211-1-10−331-1-22-110033−3−3-220000-11000033−3−30−331-1001-10000−33000000000
χ502-2-222-1-22-2-21-112-1-2211-100-1-22133−3−3-222-2-1-1110−331-1-22-110033−3−32-200001-10000−3−3330−331-100-1100003−3000000000
χ512-2-222-1-22-2-21-112-1-2211-100-1-221−3−3332-2-2211-1-103−31-1-22-1100−3−333-220000-110000−3−33303−31-1001-100003−3000000000
χ522-2-222-1-22-2-21-112-1-2211-100-1-221−3−333-222-2-1-11103−31-1-22-1100−3−3332-200001-1000033−3−303−31-100-110000−33000000000
χ5344444-2-4-444-2-2-24-200-2-2-2002-4-42000044-4-42222000000022000000000000-2-200000000000000000000000000000000
χ5444444-2-4-444-2-2-24-200-2-2-2002-4-420000-4-444-2-2-2-20000000220000000000002200000000000000000000000000000000
χ554444-24-4-4-2-2444-2-200-2-2-200-422-400000000000000000002200000000004-4000022000000000000000-2000000000000
χ564444-24-4-4-2-2444-2-200-2-2-200-422-40000000000000000000220000000000-440000-2-20000000000000002000000000000
χ574444-2-244-2-2-2-2-2-214411144-2-2-2-2-2-2-2-2000000004-2-2-2-2-2-211-2-211110000000000000000-211110000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2222200000000-422-2-2-2-21122-1-1-1-100000000000000002-1-1110000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-2-2-2-200000000-422222211-2-2111100000000000000002-1-1-1-10000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-22222000000004-2-222221122-1-1-1-10000000000000000-211-1-10000000000000000000
χ6144-4-44400-444-4-4-4400-44-4−2i22i20000−2i22i2−2i22i200000000000000000−2i22i2−2i22i2−2i22i20000000000000000000000000000000000000000
χ6244-4-44400-444-4-4-4400-44-42i2−2i200002i2−2i22i2−2i2000000000000000002i2−2i22i2−2i22i2−2i20000000000000000000000000000000000000000
χ6344-4-44-200-44-222-4-2002-22−2i22i20000i2−i2i2−i2000023−2323−23000000000−2i22i2i2−i2i2−i2000000000000i6−i6i6−i6000000000000000000000000
χ6444-4-44-200-44-222-4-2002-22−2i22i20000i2−i2i2−i20000−2323−2323000000000−2i22i2i2−i2i2−i2000000000000−i6i6−i6i6000000000000000000000000
χ6544-4-44-200-44-222-4-2002-222i2−2i20000−i2i2−i2i2000023−2323−230000000002i2−2i2−i2i2−i2i2000000000000−i6i6−i6i6000000000000000000000000
χ6644-4-44-200-44-222-4-2002-222i2−2i20000−i2i2−i2i20000−2323−23230000000002i2−2i2−i2i2−i2i2000000000000i6−i6i6−i6000000000000000000000000
χ6744-4-4-24002-24-4-42-2002-22−2i22i20000−2i22i2−2i22i200000000000000000i2−i2i2−i2i2−i2000000000023−230000000000000000000i6−i60000000
χ6844-4-4-24002-24-4-42-2002-22−2i22i20000−2i22i2−2i22i200000000000000000i2−i2i2−i2i2−i20000000000−23230000000000000000000−i6i60000000
χ6944-4-4-24002-24-4-42-2002-222i2−2i200002i2−2i22i2−2i200000000000000000−i2i2−i2i2−i2i2000000000023−230000000000000000000−i6i60000000
χ7044-4-4-24002-24-4-42-2002-222i2−2i200002i2−2i22i2−2i200000000000000000−i2i2−i2i2−i2i20000000000−23230000000000000000000i6−i60000000
χ714-44-444004-4-4-44-44004-4-400000000000000000000000000000000000000000−2i22i200−2i22i22i2−2i2000000000000000000000000
χ724-44-444004-4-4-44-44004-4-4000000000000000000000000000000000000000002i2−2i2002i2−2i2−2i22i2000000000000000000000000
χ734-44-44-2004-422-2-4-200-222000000i6−i6−i6i6000023−23−232300000000000i6−i6−i6i600000000−2i22i200i2−i2−i2i2000000000000000000000000
χ744-44-44-2004-422-2-4-200-222000000i6−i6−i6i60000−232323−2300000000000i6−i6−i6i6000000002i2−2i200−i2i2i2−i2000000000000000000000000
χ754-44-44-2004-422-2-4-200-222000000−i6i6i6−i6000023−23−232300000000000−i6i6i6−i6000000002i2−2i200−i2i2i2−i2000000000000000000000000
χ764-44-44-2004-422-2-4-200-222000000−i6i6i6−i60000−232323−2300000000000−i6i6i6−i600000000−2i22i200i2−i2−i2i2000000000000000000000000
χ774-4-444-24-4-4-42-224-20022-20024-4-200004-44-4-2-22200000002-2000000000000-2200000000000000000000000000000000
χ784-4-444-24-4-4-42-224-20022-20024-4-20000-44-4422-2-200000002-20000000000002-200000000000000000000000000000000
χ794-4-44-244-422-44-4-2-20022-200-4-22400000000000000000002-2000000004-4000000000000000000000-220000000000000
χ804-4-44-244-422-44-4-2-20022-200-4-22400000000000000000002-200000000-440000000000000000000002-20000000000000
χ814-4-44-24-4422-44-4-2-24-422-20042-2-40000000000000004-4-22-220000000000000000000000000-220000000000000000000
χ824-4-44-24-4422-44-4-2-2-4422-20042-2-4000000000000000-442-2-2200000000000000000000000002-20000000000000000000
χ834-4-44-2-2-44222-22-214-4-1-1100-22-222323−23−2300000000023−23-22-221-100−3−33300000000000000000−331-10000000000000000000
χ844-4-44-2-2-44222-22-214-4-1-1100-22-22−23−232323000000000−2323-22-221-10033−3−3000000000000000003−31-10000000000000000000
χ854-4-44-2-2-44222-22-21-44-1-1100-22-222323−23−23000000000−23232-22-21-100−3−333000000000000000003−3-110000000000000000000
χ864-4-44-2-2-44222-22-21-44-1-1100-22-22−23−23232300000000023−232-22-21-10033−3−300000000000000000−33-110000000000000000000
χ878888-4-4-8-8-4-4-4-4-4-42002220044440000000000000000000-2-20000000000000000000000000000000000000000000000
χ8888-8-8-4-4004-4-4444200-22-2−4i24i200002i2−2i22i2−2i2000000000000000002i2−2i2−i2i2−i2i20000000000000000000000000000000000000000
χ8988-8-8-4-4004-4-4444200-22-24i2−4i20000−2i22i2−2i22i200000000000000000−2i22i2i2−i2i2−i20000000000000000000000000000000000000000
χ908-88-8-4800-44-8-884-400-4440000000000000000000000000000000000000000000000000000000000000000000000000
χ918-88-8-4-400-4444-442002-2-20000002i6−2i6−2i62i60000000000000000000−i6i6i6−i60000000000000000000000000000000000000000
χ928-88-8-4-400-4444-442002-2-2000000−2i62i62i6−2i60000000000000000000i6−i6−i6i60000000000000000000000000000000000000000
χ938-8-88-4-48-8444-44-4200-2-22004-44-40000000000000000000-220000000000000000000000000000000000000000000000

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