Finite Group Databasebeta

← Group #11864197

Character table — Group #11864197

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444666666888888888888888888121212121212121212121216161616161818242424242424242424242424242424363636487272
order1222334466666622366612121212224444466668121212122424242424242424244446612121212661212122244688121212121212242424242241248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-11111111111111-1-1-111-1-11-1-1-1-11111-1-1-1-1111-1-1-1
χ31111111111111111111111111111-1-1111111111111111111-111-1-11111-1-111111-1-11-1-11-11111-1-1-1-111-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-11-1-11-1-111-1-111-1-1-1-1-1111
χ5111111111111111111111111-1-1-1-1111111111111111111111-1-111-1-1-1-11111111-1-1-111-11-1-1-1-11111-1-1-1-1-11-1-1
χ6111111111111111111111111-1-1-1-111-11111-1-1-111-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-11-111-111-1-111-1-111-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111
χ8111111111111111111111111-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-11111-1-1-1-111111111-1-1
χ911111111111111-1-1111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1111-1
χ1011111111111111-1-111111111111111-1-1-1-1-11-1-111111111111-1-1-1-1111111-1-1-1-1-111-1-1111-1-1-1-1-1-11111-1-11-1-11
χ1111111111111111-1-1111111111111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-11-1-1-1111-1-11111-1-111-1-1-11
χ1211111111111111-1-1111111111111-1-1-1-1-1-1-11-1-11111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-111-1-11111-111-1
χ1311111111111111-1-111111111-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1111-1-1-1111-1-1-111-1-1-1-11111-11-11
χ1411111111111111-1-111111111-1-1-1-111-1-1-1-1-11-1-11111111111111-1-1-1-1-1-111-1-1-1-1-1-1-11-11-111111-1-111-1-111-1-11-1
χ1511111111111111-1-111111111-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-111-1-111111111-1-11-11-1
χ1611111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-11-1-11111111111-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111111-1-1-1-1-1-111-11
χ17222222-2-2222222002222-2-2-2-222-2-22200000000-2-200000000-2000022-2-22200000-2-200-2000000000000002000
χ18222222-2-2222222002222-2-2-2-222-2-2-2-200000000-2-2000000002000022-2-2-2-2000002200200000000000000-2000
χ19222222-2-2222222002222-2-2-2-2-2-2222200000000-2-200000000-20000-2-22222000002200-200000000000000-2000
χ20222222-2-2222222002222-2-2-2-2-2-222-2-200000000-2-20000000020000-2-222-2-200000-2-2002000000000000002000
χ2122222-1222-12-1-1222-1-1-1-1-122-1222200222-1-12-1-1-1-122-1-1-1-1-1-102200-1-1-1-100-1-12-1-10020020-1-1-1-10000-1-1000000
χ2222222-1222-12-1-1222-1-1-1-1-122-1222200-222-1-1-211-1-1-2-211111102200-1-1-1-100-1-1-21100-200-2011-1-1000011000000
χ2322222-1222-12-1-1222-1-1-1-1-122-1-2-2-2-200222-1-12-1-1-1-122-1-1-1-1-1-10-2-200111100-1-12-1-100-200-201111000011000000
χ2422222-1222-12-1-1222-1-1-1-1-122-1-2-2-2-200-222-1-1-211-1-1-2-21111110-2-200111100-1-1-2110020020-1-1110000-1-1000000
χ2522222-1222-12-1-12-2-2-1-1-1-1-122-12222002-2-211-2-1-1-1-1-2-21111110-2-200-1-1-1-100112-1-100200-20-1-111000011000000
χ2622222-1222-12-1-12-2-2-1-1-1-1-122-1222200-2-2-211211-1-122-1-1-1-1-1-10-2-200-1-1-1-10011-21100-2002011110000-1-1000000
χ2722222-1222-12-1-12-2-2-1-1-1-1-122-1-2-2-2-2002-2-211-2-1-1-1-1-2-211111102200111100112-1-100-2002011-1-10000-1-1000000
χ2822222-1222-12-1-12-2-2-1-1-1-1-122-1-2-2-2-200-2-2-211211-1-122-1-1-1-1-1-10220011110011-21100200-20-1-1-1-1000011000000
χ292222-1222-12-122-122-1-1-1-12-1-120000222-1-122222-1-1-1-122-1-1-1-1200220000-1-1-1-1-1-1-10002-1020000-1-1-1-100000-100
χ302222-1222-12-122-122-1-1-1-12-1-12000022-2-1-122-2-2-2-1-111-2-21111200220000-1-1-1-1111000-2-10-20000-1-11100000100
χ312222-1222-12-122-122-1-1-1-12-1-120000-2-22-1-122222-1-1-1-122-1-1-1-1-200-2-2000011-1-1-1-1-1000-210-20000111100000100
χ322222-1222-12-122-122-1-1-1-12-1-120000-2-2-2-1-122-2-2-2-1-111-2-21111-200-2-2000011-1-11110002102000011-1-100000-100
χ332222-1222-12-122-1-2-2-1-1-1-12-1-12000022211-2-2-222-1-111-2-21111200-2-20000-1-111-1-1-10002-10-20000111100000-100
χ342222-1222-12-122-1-2-2-1-1-1-12-1-12000022-211-2-22-2-2-1-1-1-122-1-1-1-1200-2-20000-1-111111000-2-102000011-1-100000100
χ352222-1222-12-122-1-2-2-1-1-1-12-1-120000-2-2211-2-2-222-1-111-2-21111-2002200001111-1-1-1000-21020000-1-1-1-100000100
χ362222-1222-12-122-1-2-2-1-1-1-12-1-120000-2-2-211-2-22-2-2-1-1-1-122-1-1-1-1-2002200001111111000210-20000-1-11100000-100
χ372-2-22222-2-2-2-2-222002-22-2-22-222-22-20000000000-22000000000002-22-22-20000000000000000002-200002-20000
χ382-2-22222-2-2-2-2-222002-22-2-22-222-22-20000000000-2200000000000-222-22-2000000000000000000-220000-220000
χ392-2-22222-2-2-2-2-222002-22-2-22-22-22-220000000000-22000000000002-2-22-220000000000000000002-20000-220000
χ402-2-22222-2-2-2-2-222002-22-2-22-22-22-220000000000-2200000000000-22-22-22000000000000000000-2200002-20000
χ412-2-2222-22-2-2-2-2222-22-22-22-22-22-2-220002-22-20002-20000000002-2002-2-22002-20000000000002-2000000000000
χ422-2-2222-22-2-2-2-2222-22-22-22-22-2-222-20002-22-20002-2000000000-2200-222-2002-2000000000000-22000000000000
χ432-2-2222-22-2-2-2-222-222-22-22-22-22-2-22000-22-220002-2000000000-22002-2-2200-22000000000000-22000000000000
χ442-2-2222-22-2-2-2-222-222-22-22-22-2-222-2000-22-220002-20000000002-200-222-200-220000000000002-2000000000000
χ452-2-222-1-22-21-21-122-2-11-11-1-2212-2-220002-2-1103−3-11003−333−3−302-200-111-100-1103−300000003−3-1100003−3000000
χ462-2-222-1-22-21-21-122-2-11-11-1-2212-2-220002-2-110−33-1100−33−3−33302-200-111-100-110−330000000−33-110000−33000000
χ472-2-222-1-22-21-21-122-2-11-11-1-221-222-20002-2-1103−3-11003−333−3−30-22001-1-1100-1103−30000000−331-10000−33000000
χ482-2-222-1-22-21-21-122-2-11-11-1-221-222-20002-2-110−33-1100−33−3−3330-22001-1-1100-110−3300000003−31-100003−3000000
χ492-2-222-1-22-21-21-12-22-11-11-1-2212-2-22000-221-103−3-1100−33−3−3330-2200-111-1001-103−300000003−31-10000−33000000
χ502-2-222-1-22-21-21-12-22-11-11-1-2212-2-22000-221-10−33-11003−333−3−30-2200-111-1001-10−330000000−331-100003−3000000
χ512-2-222-1-22-21-21-12-22-11-11-1-221-222-2000-221-103−3-1100−33−3−33302-2001-1-11001-103−30000000−33-1100003−3000000
χ522-2-222-1-22-21-21-12-22-11-11-1-221-222-2000-221-10−33-11003−333−3−302-2001-1-11001-10−3300000003−3-110000−33000000
χ5344444-2-4-44-24-2-2400-2-2-2-22-4-4244-4-40000000000220000000000000-2-222000000000000000000000000000000
χ5444444-2-4-44-24-2-2400-2-2-2-22-4-42-4-444000000000022000000000000022-2-2000000000000000000000000000000
χ554444-24-4-4-24-244-200-2-2-2-2-422-4000044000000002200000000-400000000-2-20000000002000000000000000000
χ564444-24-4-4-24-244-200-2-2-2-2-422-40000-4-400000000220000000040000000022000000000-2000000000000000000
χ574444-2-244-2-2-2-2-2-2441111-2-2-2-20000004-2-2-2-24-2-211-2-2-2-211110000000000011-21100000000000000000000000
χ584444-2-244-2-2-2-2-2-2441111-2-2-2-2000000-4-2-2-2-2-422112222-1-1-1-100000000000112-1-100000000000000000000000
χ594444-2-244-2-2-2-2-2-2-4-41111-2-2-2-200000042222-4-2-2112222-1-1-1-100000000000-1-1-21100000000000000000000000
χ604444-2-244-2-2-2-2-2-2-4-41111-2-2-2-2000000-4222242211-2-2-2-2111100000000000-1-12-1-100000000000000000000000
χ6144-4-4440044-4-4-4-40044-4-4000000000000000000000000000000000000000000004-4000000000000000000000
χ6244-4-4440044-4-4-4-40044-4-400000000000000000000000000000000000000000000-44000000000000000000000
χ634-44-44400-4-444-4-4004-4-44000000004i−4i0000000000000000000000000004i−4i0000000000000000000000000000
χ644-44-44400-4-444-4-4004-4-4400000000−4i4i000000000000000000000000000−4i4i0000000000000000000000000000
χ654-44-4-24002-4-24-4200-222-2000000004i−4i0000000000i6−i600i6−i6i6−i6000000000−2i2i0000000000000000006−600000000
χ664-44-4-24002-4-24-4200-222-2000000004i−4i0000000000−i6i600−i6i6−i6i6000000000−2i2i000000000000000000−6600000000
χ674-44-4-24002-4-24-4200-222-200000000−4i4i0000000000i6−i600i6−i6i6−i60000000002i−2i000000000000000000−6600000000
χ684-44-4-24002-4-24-4200-222-200000000−4i4i0000000000−i6i600−i6i6−i6i60000000002i−2i0000000000000000006−600000000
χ694-4-444-24-4-42-42-2400-22-2224-4-24-44-400000000002-20000000000000-22-22000000000000000000000000000000
χ704-4-444-24-4-42-42-2400-22-2224-4-2-44-4400000000002-200000000000002-22-2000000000000000000000000000000
χ714-4-44-244-42-42-44-200-22-22-4-224000000000000002-2000000000004-40000000000000000000000-220000000000
χ724-4-44-244-42-42-44-200-22-22-4-224000000000000002-200000000000-4400000000000000000000002-20000000000
χ734-4-44-24-442-42-44-24-4-22-2242-2-40000000-224-4000-220000000000000000000-2200000000000000000000000000
χ744-4-44-24-442-42-44-2-44-22-2242-2-400000002-2-44000-2200000000000000000002-200000000000000000000000000
χ754-4-44-2-2-442222-2-24-41-11-1-22-220000000-22-22023−231-10023−23−3−333000000000001-10−3300000000000000000000000
χ764-4-44-2-2-442222-2-24-41-11-1-22-220000000-22-220−23231-100−232333−3−3000000000001-103−300000000000000000000000
χ774-4-44-2-2-442222-2-2-441-11-1-22-2200000002-22-2023−231-100−232333−3−300000000000-110−3300000000000000000000000
χ784-4-44-2-2-442222-2-2-441-11-1-22-2200000002-22-20−23231-10023−23−3−33300000000000-1103−300000000000000000000000
χ798888-4-4-8-8-4-4-4-4-4-4002222444400000000000000-2-200000000000000000000000000000000000000000000000
χ8088-8-88-4008-4-844-800-4-4440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4800-484-8-8400-4-4440000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-400-4-444440022-2-2000000000000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000
χ8388-8-8-4-400-4-444440022-2-20000000000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000
χ848-88-88-400-848-44-800-444-40000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-40044-4-444002-2-22000000000000000000002i6−2i600−i6i6−i6i6000000000000000000000000000000000000000
χ868-88-8-4-40044-4-444002-2-2200000000000000000000−2i62i600i6−i6i6−i6000000000000000000000000000000000000000
χ878-8-88-4-48-84444-4-4002-22-24-44-400000000000000-2200000000000000000000000000000000000000000000000

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