Finite Group Databasebeta

← Group #11864632

Character table — Group #11864632

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222244444444444444446666666688888888888888812121212121212121212121212121212161616161624242424242424242424242436363636487272
order12223344666666223666881212121224242424224466664666612121212242424242424222224668812122424242466121212246666812121224242444648
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111111-1111-1-1-1-111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-11111-1-111-1-1-1-11-1-1
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
χ511111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-11111-11-1-1-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-11-111-1-11-1-1-111-1-1-1-1111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-11-1-111-1111-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-111-1-1-1-11-1111111111-1-1
χ911111111111111-1-11111111111111111111111-1-1-1-1-1-1-111111111-1-111-1-1-1-111111111-1-1-1-1-11-1-1-111-1-1-1-1-1-1-111-111-1
χ1011111111111111-1-11111111111111111111111-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-11-1-11
χ1111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11-1-111-11
χ1211111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-111-1-11-1
χ1311111111111111-1-11111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1111-11-1-1111-11111-111-1-1-11
χ1411111111111111-1-11111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111-1-1-1-1-1111-1-11-1-1111-1
χ1511111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1111-1-111111-1-1-1111-1-11-11-1
χ1611111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-11111-1-11111-111-1-1-11-1-1-1-1-111-11-11
χ17222222-2-222222200222200-2-2-2-2000022-2-222220000000-2-200000000002-22200-2-20000000000000000-20000-2002000
χ18222222-2-222222200222200-2-2-2-2000022-2-222220000000-2-20000000000-22-2-200-2-2000000000000000020000200-2000
χ19222222-2-222222200222200-2-2-2-20000-2-222-2-2-2-20000000-2-200000000002-22200220000000000000000-20000200-2000
χ20222222-2-222222200222200-2-2-2-20000-2-222-2-2-2-20000000-2-20000000000-22-2-20022000000000000000020000-2002000
χ2122222-1222-1-12-1222-1-1-1-1222-1-12222200000000222-1-122-1-1-1-1-1-1-1-1002222-1-100000000-1-1-1-1-12000-1-12-100-1-10000-100
χ2222222-1222-1-12-1222-1-1-1-1222-1-12222200000000222-1-122-1-1-1-1-1-1-1-100-2-2-2-21100000000-1-1-1-1-1-200011-2100110000100
χ2322222-1222-1-12-1222-1-1-1-1-2-22-1-12-2-2-2-200000000-222-1-1-2-2-1-1111111002222-1-100000000-1-1111-2000-1-1-2-100110000100
χ2422222-1222-1-12-1222-1-1-1-1-2-22-1-12-2-2-2-200000000-222-1-1-2-2-1-111111100-2-2-2-21100000000-1-11112000112100-1-10000-100
χ2522222-1222-1-12-12-2-2-1-1-1-1222-1-12222200000000-2-2-211-2-2-1-1-1-1-1-1-1-10022-2-21100000000111112000-1-1-2100110000-100
χ2622222-1222-1-12-12-2-2-1-1-1-1222-1-12222200000000-2-2-211-2-2-1-1-1-1-1-1-1-100-2-222-1-10000000011111-2000112-100-1-10000100
χ2722222-1222-1-12-12-2-2-1-1-1-1-2-22-1-12-2-2-2-2000000002-2-21122-1-11111110022-2-2110000000011-1-1-1-2000-1-12100-1-10000100
χ2822222-1222-1-12-12-2-2-1-1-1-1-2-22-1-12-2-2-2-2000000002-2-21122-1-111111100-2-222-1-10000000011-1-1-1200011-2-100110000-100
χ292222-1222-122-12-122-1-1-1-122-122-1-1-1-1-12222-1-1-1-12-1-122-1-1-1-122-1-1-1-12200000022-1-1-1-1-1-1-1-12-1-102-1-10000-1-1000000000
χ302222-1222-122-12-122-1-1-1-122-122-1-1-1-1-1-2-2-2-211112-1-122-1-1-1-122-1-1-1-1-2-2000000-2-2111111-1-12-1-10-211000011000000000
χ312222-1222-122-12-122-1-1-1-1-2-2-122-111112222-1-1-1-1-2-1-12211-1-1-2-2111122000000-2-2-1-11111-1-1-2110-2-1-1000011000000000
χ322222-1222-122-12-122-1-1-1-1-2-2-122-11111-2-2-2-21111-2-1-12211-1-1-2-21111-2-20000002211-1-1-1-1-1-1-21102110000-1-1000000000
χ332222-1222-122-12-1-2-2-1-1-1-122-122-1-1-1-1-12222-1-1-1-1-211-2-211-1-122-1-1-1-1-2-200000022-1-1-1-1-1-111-2110-211000011000000000
χ342222-1222-122-12-1-2-2-1-1-1-122-122-1-1-1-1-1-2-2-2-21111-211-2-211-1-122-1-1-1-122000000-2-211111111-21102-1-10000-1-1000000000
χ352222-1222-122-12-1-2-2-1-1-1-1-2-2-122-111112222-1-1-1-1211-2-2-1-1-1-1-2-21111-2-2000000-2-2-1-11111112-1-102110000-1-1000000000
χ362222-1222-122-12-1-2-2-1-1-1-1-2-2-122-11111-2-2-2-21111211-2-2-1-1-1-1-2-21111220000002211-1-1-1-1112-1-10-2-1-1000011000000000
χ372-2-22222-2-2-2-222-2002-22-200-22-2200002-22-222-2-20000000-22000000002-20000002-200000000000002-200000002-20000
χ382-2-22222-2-2-2-222-2002-22-200-22-2200002-22-222-2-20000000-2200000000-220000002-20000000000000-220000000-220000
χ392-2-22222-2-2-2-222-2002-22-200-22-220000-22-22-2-2220000000-22000000002-2000000-2200000000000002-20000000-220000
χ402-2-22222-2-2-2-222-2002-22-200-22-220000-22-22-2-2220000000-2200000000-22000000-220000000000000-2200000002-20000
χ412-2-2222-22-2-2-222-22-22-22-2002-22-200002-2-2222-2-202-22-2002-20000002-200000000-2200002-2000002-2000000000000000
χ422-2-2222-22-2-2-222-22-22-22-2002-22-20000-222-2-2-22202-22-2002-2000000-22000000002-200002-200000-22000000000000000
χ432-2-2222-22-2-2-222-2-222-22-2002-22-200002-2-2222-2-20-22-22002-2000000-2200000000-220000-2200000-22000000000000000
χ442-2-2222-22-2-2-222-2-222-22-2002-22-20000-222-2-2-2220-22-22002-20000002-2000000002-20000-22000002-2000000000000000
χ452-2-22-12-221-2-2-1212-2-11-1100-1-22133−3−32-2-22-1-1110-112-23−3-110033−3−32-2000000001-133−3−3-1103−300-1100003−3000000000
χ462-2-22-12-221-2-2-1212-2-11-1100-1-22133−3−3-222-211-1-10-112-23−3-110033−3−3-2200000000-11−3−333-1103−3001-10000−33000000000
χ472-2-22-12-221-2-2-1212-2-11-1100-1-221−3−3332-2-22-1-1110-112-2−33-1100−3−3332-2000000001-1−3−333-110−3300-110000−33000000000
χ482-2-22-12-221-2-2-1212-2-11-1100-1-221−3−333-222-211-1-10-112-2−33-1100−3−333-2200000000-1133−3−3-110−33001-100003−3000000000
χ492-2-22-12-221-2-2-121-22-11-1100-1-22133−3−32-2-22-1-11101-1-22−33-110033−3−3-22000000001-133−3−31-10−33001-10000−33000000000
χ502-2-22-12-221-2-2-121-22-11-1100-1-22133−3−3-222-211-1-101-1-22−33-110033−3−32-200000000-11−3−3331-10−3300-1100003−3000000000
χ512-2-22-12-221-2-2-121-22-11-1100-1-221−3−3332-2-22-1-11101-1-223−3-1100−3−333-22000000001-1−3−3331-103−3001-100003−3000000000
χ522-2-22-12-221-2-2-121-22-11-1100-1-221−3−333-222-211-1-101-1-223−3-1100−3−3332-200000000-1133−3−31-103−300-110000−33000000000
χ5344444-2-4-44-2-24-2400-2-2-2-200-422-400000000000000000002200000000004-4-2-200000000000000000000200000000000
χ5444444-2-4-44-2-24-2400-2-2-2-200-422-40000000000000000000220000000000-442200000000000000000000-200000000000
χ554444-24-4-4-244-24-200-2-2-2-2002-4-42000044-4-4-2-2-2-20000000220000000000000000220000000000000000000000000000
χ564444-24-4-4-244-24-200-2-2-2-2002-4-420000-4-44422220000000220000000000000000-2-20000000000000000000000000000
χ574444-2-244-2-2-2-2-2-244111144-2-2-2-2-2-2-2-2000000004-2-2-2-2-2-211-2-21111000000000000000011-2110000000000000000000
χ584444-2-244-2-2-2-2-2-2441111-4-4-2-2-2-2222200000000-4-2-2-2-2221122-1-1-1-10000000000000000112-1-10000000000000000000
χ594444-2-244-2-2-2-2-2-2-4-4111144-2-2-2-2-2-2-2-200000000-422222211-2-211110000000000000000-1-12-1-10000000000000000000
χ604444-2-244-2-2-2-2-2-2-4-41111-4-4-2-2-2-222220000000042222-2-21122-1-1-1-10000000000000000-1-1-2110000000000000000000
χ6144-4-4440044-4-4-4-40044-4-400000000000000000000000000000000000000000−2i22i200−2i22i2−2i22i2000000000000000000000000
χ6244-4-4440044-4-4-4-40044-4-4000000000000000000000000000000000000000002i2−2i2002i2−2i22i2−2i2000000000000000000000000
χ6344-4-4-2400-24-42-4200-2-2220000006−66−60000−2i32i3−2i32i3000000000006−66−600000000−2i22i200i2−i2i2−i2000000000000000000000000
χ6444-4-4-2400-24-42-4200-2-2220000006−66−600002i3−2i32i3−2i3000000000006−66−6000000002i2−2i200−i2i2−i2i2000000000000000000000000
χ6544-4-4-2400-24-42-4200-2-222000000−66−660000−2i32i3−2i32i300000000000−66−66000000002i2−2i200−i2i2−i2i2000000000000000000000000
χ6644-4-4-2400-24-42-4200-2-222000000−66−6600002i3−2i32i3−2i300000000000−66−6600000000−2i22i200i2−i2i2−i2000000000000000000000000
χ674-44-44400-4-44-4-44004-4-4422−22000022−22−22220000000000000000022−2222−22−22220000000000000000000000000000000000000000
χ684-44-44400-4-44-4-44004-4-44−22220000−222222−2200000000000000000−2222−222222−220000000000000000000000000000000000000000
χ694-44-44-200-42-2-42400-222-222−22000022−22−222200000000000000000−22−222−2000000−2i32i300000000000000000000000i6−i60000000
χ704-44-44-200-42-2-42400-222-222−22000022−22−222200000000000000000−22−222−20000002i3−2i300000000000000000000000−i6i60000000
χ714-44-44-200-42-2-42400-222-2−22220000−222222−22000000000000000002−22−2−22000000−2i32i300000000000000000000000−i6i60000000
χ724-44-44-200-42-2-42400-222-2−22220000−222222−22000000000000000002−22−2−220000002i3−2i300000000000000000000000i6−i60000000
χ734-44-4-24002-442-4-200-222-222−220000−222−20000−2i32i32i3−2i300000000022−22−222−2000000000000i6−i6−i6i6000000000000000000000000
χ744-44-4-24002-442-4-200-222-222−220000−222−200002i3−2i3−2i32i300000000022−22−222−2000000000000−i6i6i6−i6000000000000000000000000
χ754-44-4-24002-442-4-200-222-2−222200002−2−220000−2i32i32i3−2i3000000000−22222−2−22000000000000−i6i6i6−i6000000000000000000000000
χ764-44-4-24002-442-4-200-222-2−222200002−2−2200002i3−2i3−2i32i3000000000−22222−2−22000000000000i6−i6−i6i6000000000000000000000000
χ774-4-444-24-4-4224-2-400-22-2200-4-22400000000000000000002-2000000004-4000000000000000000000-220000000000000
χ784-4-444-24-4-4224-2-400-22-2200-4-22400000000000000000002-200000000-440000000000000000000002-20000000000000
χ794-4-444-2-44-4224-2-44-4-22-220042-2-400000000000004-4-2200-220000000000000000000000-220000000000000000000000
χ804-4-444-2-44-4224-2-4-44-22-220042-2-40000000000000-442-200-2200000000000000000000002-20000000000000000000000
χ814-4-44-244-42-4-4-24200-22-220024-4-200004-44-4-2-22200000002-20000000000000000-220000000000000000000000000000
χ824-4-44-244-42-4-4-24200-22-220024-4-20000-44-4422-2-200000002-200000000000000002-20000000000000000000000000000
χ834-4-44-2-2-44222-2-224-41-11-100-22-222323−23−23000000000-22-2223−231-100−3−33300000000000000001-10−330000000000000000000
χ844-4-44-2-2-44222-2-224-41-11-100-22-22−23−232323000000000-22-22−23231-10033−3−300000000000000001-103−30000000000000000000
χ854-4-44-2-2-44222-2-22-441-11-100-22-222323−23−230000000002-22-2−23231-100−3−3330000000000000000-1103−30000000000000000000
χ864-4-44-2-2-44222-2-22-441-11-100-22-22−23−2323230000000002-22-223−231-10033−3−30000000000000000-110−330000000000000000000
χ878888-4-4-8-8-4-4-4-4-4-40022220044440000000000000000000-2-20000000000000000000000000000000000000000000000
χ8888-8-88-4008-44-84-800-4-4440000000000000000000000000000000000000000000000000000000000000000000000000
χ8988-8-8-4-400-4-444440022-2-200000026−2626−260000000000000000000−66−660000000000000000000000000000000000000000
χ9088-8-8-4-400-4-444440022-2-2000000−2626−262600000000000000000006−66−60000000000000000000000000000000000000000
χ918-88-8-4-40044-444-4002-2-2242−420000−222222−2200000000000000000−22222−2−220000000000000000000000000000000000000000
χ928-88-8-4-40044-444-4002-2-22−4242000022−22−22220000000000000000022−22−222−20000000000000000000000000000000000000000
χ938-8-88-4-48-8444-4-44002-22-2004-44-40000000000000000000-220000000000000000000000000000000000000000000000

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