Finite Group Databasebeta

← Group #11864228

Character table — Group #11864228

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444666666888888888888888888121212121212121212121216161616161818242424242424242424242424242424363636487272
order1222334466666634466612121212222244481212121212121212242424242424242422444666612121212121212444466881212121212242424242221248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111111111111-1-1-11111-1-111-1-1-1-1111-1-1-1-1111-1-1-1
χ311111111111111111111111111-1-11111111111111111111111-1-1-1-1-1111111111-1-11-1111-111-1-1-1-1-111-1-1-1-1-1-1
χ411111111111111111111111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-111-1-1-1111-11-1-1-1-1-111-1-1-1-1-1111
χ5111111111111111111111111-1-111-1-1111111111111111111-1-111111-1-1-1-111111-1-1-11-1-1-11-1-111111-1-1-1-1-11-1-1
χ6111111111111111111111111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-111-1-11-1-1-11-111111-1-111-1-1-1-111
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
χ8111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-111111111-1-1
χ9111111111111111-1-111111111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-1111111111-1-11111-1-1-1-1111-1-1-1-1-1-11-1-111-1
χ10111111111111111-1-11111111111111-11-1-1-1-1-1-11111111111-1-11-1-1111111-1-1-1-1-111-1-1-1-111-1-11-1-111111-1-1-1-11
χ11111111111111111-1-1111111111-1-1111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-1-1-11-1-1-1-1111-11111-1-1-111-1-11
χ12111111111111111-1-1111111111-1-111-11-1-1-1-1-1-11111111111-1-1-111-1-11111-1-1-1-1-1-1-1-11-1-11-1-1-1-111-1-111-11111-1
χ13111111111111111-1-11111111-1-111-1-11-1-1-111-1-111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1111-1-1-1-1-11111-1-1-11-1-1-1-111-1111-11
χ14111111111111111-1-11111111-1-111-1-1-11-1-1-1-1-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11-111-11111-1-111-1-1-111-11-1
χ15111111111111111-1-11111111-1-1-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1111-1-111-1-11111-1-1-11111111-1-1-11-1
χ16111111111111111-1-11111111-1-1-1-1-1-1-11-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1111111-1-111-111-1-1-1-11-1-11-11
χ17222222-2-2222222200222-2-2-2-22222-2-200000000-2-20000000000-2002222-2-200000-2-200000000-2000000200000
χ18222222-2-2222222200222-2-2-2-222-2-2-2-200000000-2-20000000000200-2-222-2-20000022000000002000000-200000
χ19222222-2-2222222200222-2-2-2-2-2-2222200000000-2-20000000000-20022-2-222000002200000000-2000000-200000
χ20222222-2-2222222200222-2-2-2-2-2-2-2-22200000000-2-20000000000200-2-2-2-22200000-2-2000000002000000200000
χ2122222-1222-12-1-12-122-1-1-1-122-122002222-1-1-1-122-1-122-1-1-1-1-1-12200000-1-1-1-12-1-1-1-10020-1-120-1-100000-1-1000000
χ2222222-1222-12-1-12-122-1-1-1-122-1220022-2-2-1-11122-1-1-2-21111112200000-1-1-1-1-211-1-100-20-1-1-20110000011000000
χ2322222-1222-12-1-12-122-1-1-1-122-1-2-200-2-222-1-1-1-122-1-122-1-1-1-1-1-1-2-20000011112-1-1-1-100-2011-20110000011000000
χ2422222-1222-12-1-12-122-1-1-1-122-1-2-200-2-2-2-2-1-11122-1-1-2-2111111-2-2000001111-211-1-100201120-1-100000-1-1000000
χ2522222-1222-12-1-12-1-2-2-1-1-1-122-12200222-211-1-1-2-2-1-1-2-2111111-2-200000-1-1-1-12-1-111002011-20-1-10000011000000
χ2622222-1222-12-1-12-1-2-2-1-1-1-122-1220022-221111-2-2-1-122-1-1-1-1-1-1-2-200000-1-1-1-1-2111100-2011201100000-1-1000000
χ2722222-1222-12-1-12-1-2-2-1-1-1-122-1-2-200-2-22-211-1-1-2-2-1-1-2-2111111220000011112-1-11100-20-1-1201100000-1-1000000
χ2822222-1222-12-1-12-1-2-2-1-1-1-122-1-2-200-2-2-221111-2-2-1-122-1-1-1-1-1-122000001111-211110020-1-1-20-1-10000011000000
χ292222-1222-12-122-1-122-1-1-12-1-12002200222222-1-1-1-1-1-122-1-1-1-100222-1-10000-1-1-1-1-10002000200-1-1-1-1-100000-100
χ302222-1222-12-122-1-122-1-1-12-1-12002200-2-222-2-2-1-1-1-111-2-2111100222-1-10000111-1-1000-2000-200-1-1-11100000100
χ312222-1222-12-122-1-122-1-1-12-1-1200-2-200222222-1-1-1-1-1-122-1-1-1-100-2-2-2110000-1-1-1-1-1000-2000-2001111100000100
χ322222-1222-12-122-1-122-1-1-12-1-1200-2-200-2-222-2-2-1-1-1-111-2-2111100-2-2-2110000111-1-10002000200111-1-100000-100
χ332222-1222-12-122-1-1-2-2-1-1-12-1-120022002-2-2-22211-1-111-2-21111002-2-2-1-10000-1-1-1110002000-200-1111100000-100
χ342222-1222-12-122-1-1-2-2-1-1-12-1-12002200-22-2-2-2-211-1-1-1-122-1-1-1-1002-2-2-1-1000011111000-2000200-111-1-100000100
χ352222-1222-12-122-1-1-2-2-1-1-12-1-1200-2-2002-2-2-22211-1-111-2-2111100-222110000-1-1-111000-20002001-1-1-1-100000100
χ362222-1222-12-122-1-1-2-2-1-1-12-1-1200-2-200-22-2-2-2-211-1-1-1-122-1-1-1-100-222110000111110002000-2001-1-11100000-100
χ372-2-22222-2-2-2-22-22200-2-22-22-222-2002-200000000-22000000000002-2002-22-200000000000000002-2000002-2000
χ382-2-22222-2-2-2-22-22200-2-22-22-222-2002-200000000-2200000000000-22002-22-20000000000000000-2200000-22000
χ392-2-22222-2-2-2-22-22200-2-22-22-22-2200-2200000000-22000000000002-200-22-2200000000000000002-200000-22000
χ402-2-22222-2-2-2-22-22200-2-22-22-22-2200-2200000000-2200000000000-2200-22-220000000000000000-22000002-2000
χ412-2-2222-22-2-2-22-2222-2-2-222-22-22-200-22002-2002-22-2000000002-2000002-2-220002-200002-200000000000000000
χ422-2-2222-22-2-2-22-2222-2-2-222-22-2-22002-2002-2002-22-200000000-2200000-222-20002-20000-2200000000000000000
χ432-2-2222-22-2-2-22-222-22-2-222-22-22-200-2200-2200-222-200000000-22000002-2-22000-220000-2200000000000000000
χ442-2-2222-22-2-2-22-222-22-2-222-22-2-22002-200-2200-222-2000000002-200000-222-2000-2200002-200000000000000000
χ452-2-222-1-22-21-2-112-12-211-1-1-2212-200-2200-113−32-2-11003−333−3−32-200000-111-103−3-110000-11003−3000003−3000000
χ462-2-222-1-22-21-2-112-12-211-1-1-2212-200-2200-11−332-2-1100−33−3−3332-200000-111-10−33-110000-1100−3300000−33000000
χ472-2-222-1-22-21-2-112-12-211-1-1-221-22002-200-113−32-2-11003−333−3−3-22000001-1-1103−3-1100001-100−3300000−33000000
χ482-2-222-1-22-21-2-112-12-211-1-1-221-22002-200-11−332-2-1100−33−3−333-22000001-1-110−33-1100001-1003−3000003−3000000
χ492-2-222-1-22-21-2-112-1-2211-1-1-2212-200-22001-13−3-22-1100−33−3−333-2200000-111-103−31-100001-1003−300000−33000000
χ502-2-222-1-22-21-2-112-1-2211-1-1-2212-200-22001-1−33-22-11003−333−3−3-2200000-111-10−331-100001-100−33000003−3000000
χ512-2-222-1-22-21-2-112-1-2211-1-1-221-22002-2001-13−3-22-1100−33−3−3332-2000001-1-1103−31-10000-1100−33000003−3000000
χ522-2-222-1-22-21-2-112-1-2211-1-1-221-22002-2001-1−33-22-11003−333−3−32-2000001-1-110−331-10000-11003−300000−33000000
χ5344444-2-4-44-24-2-24-200-2-2-22-4-424400-4-40000000022000000000000000-2-2220000000000000000000000000000
χ5444444-2-4-44-24-2-24-200-2-2-22-4-42-4-40044000000002200000000000000022-2-20000000000000000000000000000
χ554444-24-4-4-24-244-2-200-2-2-2-422-400440000000000220000000000-400-2-200000000000000000002000000000000
χ564444-24-4-4-24-244-2-200-2-2-2-422-400-4-40000000000220000000000400220000000000000000000-2000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-200000044-2-2-2-2-2-211-2-2-2-2111100000000000-2111100000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-2000000-4-4-2-222-2-2112222-1-1-1-1000000000002-1-11100000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000004-422-2-222112222-1-1-1-100000000000-211-1-100000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2000000-4422222211-2-2-2-21111000000000002-1-1-1-100000000000000000000000
χ6144-4-4440044-4-4-4-44004-4-40000004-400000000000000000000000004-400000000000000000000000000000000
χ6244-4-4440044-4-4-4-44004-4-4000000-440000000000000000000000000-4400000000000000000000000000000000
χ6344-4-4-2400-242-4-42-200-2220000004-4000000000000i6−i600i6−i6i6−i600000-220000000000000000000000i6−i600000000
χ6444-4-4-2400-242-4-42-200-2220000004-4000000000000−i6i600−i6i6−i6i600000-220000000000000000000000−i6i600000000
χ6544-4-4-2400-242-4-42-200-222000000-44000000000000i6−i600i6−i6i6−i6000002-20000000000000000000000−i6i600000000
χ6644-4-4-2400-242-4-42-200-222000000-44000000000000−i6i600−i6i6−i6i6000002-20000000000000000000000i6−i600000000
χ674-44-44400-4-44-44-4400-44-4000000000000000000000000000000000000000000004i−4i000000000000000000000
χ684-44-44400-4-44-44-4400-44-400000000000000000000000000000000000000000000−4i4i000000000000000000000
χ694-4-444-24-4-42-4-224-20022-224-4-24-4004-4000000002-2000000000000000-22-220000000000000000000000000000
χ704-4-444-24-4-42-4-224-20022-224-4-2-4400-44000000002-20000000000000002-22-20000000000000000000000000000
χ714-4-44-244-42-424-4-2-20022-2-4-224000000000000002-2000000000004-40000000000000000000000-220000000000
χ724-4-44-244-42-424-4-2-20022-2-4-224000000000000002-200000000000-4400000000000000000000002-20000000000
χ734-4-44-24-442-424-4-2-24-422-242-2-4000000004-400-22-220000000000000000000000-2200000000000000000000000
χ744-4-44-24-442-424-4-2-2-4422-242-2-400000000-44002-2-2200000000000000000000002-200000000000000000000000
χ754-4-44-2-2-44222-22-214-4-1-11-22-2200000000-2223−23-221-10023−23−3−333000000000000−331-100000000000000000000000
χ764-4-44-2-2-44222-22-214-4-1-11-22-2200000000-22−2323-221-100−232333−3−30000000000003−31-100000000000000000000000
χ774-4-44-2-2-44222-22-21-44-1-11-22-22000000002-223−232-21-100−232333−3−3000000000000−33-1100000000000000000000000
χ784-4-44-2-2-44222-22-21-44-1-11-22-22000000002-2−23232-21-10023−23−3−3330000000000003−3-1100000000000000000000000
χ798888-4-4-8-8-4-4-4-4-4-4200222444400000000000000-2-200000000000000000000000000000000000000000000000
χ8088-8-88-4008-4-844-8-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-4-444442002-2-2000000000000000000002i6−2i600−i6i6−i6i6000000000000000000000000000000000000000
χ8288-8-8-4-400-4-444442002-2-200000000000000000000−2i62i600i6−i6i6−i6000000000000000000000000000000000000000
χ838-88-88-400-8484-4-8-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-48004-8-4-884-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-40044-44-44200-22-2000000000000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000
χ868-88-8-4-40044-44-44200-22-20000000000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000
χ878-8-88-4-48-8444-44-4200-2-224-44-400000000000000-2200000000000000000000000000000000000000000000000

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