Finite Group Databasebeta

← Group #11864088

Character table — Group #11864088

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444666666888888888888888888121212121212121212121216161616161818242424242424242424242424242424363636487272
order122233446666663446661212121222444426681212121212122424242424242424222446612121212666121244446668812121212242424242221248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111-1-1-11111-1-1111-1-111-1-1-1-1-1-1111-1-1-1
χ31111111111111111111111111111-1-1111111111111111111-1-1-11111-1-11111111-1-1-11-1-1-11-11111-1-111-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-111-1-11-1-1-1-1-1111-1-111-1-1-1-1-1111
χ5111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-111-1-111111-1-11-1111-11-1-1-1-111-1-1-1-1-11-1-1
χ6111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-111-1-1-111111-1-1-111-1-111-1-1-1-111
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
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-11111111111-1-1
χ9111111111111111-1-11111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-111111-1-1-1-1-1-111-1-1-1-11-1-111-1
χ10111111111111111-1-11111111111111-1-1-11-1-1-1-111111111111-1-1-1-1111111-1-1-1-1-111-1-11-1-111-1-1-1-111111-1-1-1-11
χ11111111111111111-1-111111111111-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-111-1-111111-1-1-1-1-11-111-11-1-11111-1-1-111-1-11
χ12111111111111111-1-111111111111-1-1-1-1-11-1-1-1-11111111111-111-1-111-1-111-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-111-11111-1
χ13111111111111111-1-11111111-1-1-1-111111-1-1-1-1-111-1-1-1-1-1-1-1-11-1-111-1-111-1-1111-1-1-1-11-11-1-11-111-1-1-1-111-1111-11
χ14111111111111111-1-11111111-1-1-1-111-1-1-11-1-1-1-111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-11111111-1-1-111-11-1
χ15111111111111111-1-11111111-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1-111-1-1-1111111-1-111111-1-1-11-1
χ16111111111111111-1-11111111-1-1-1-1-1-1-1-1-11-1-1-1-11111111111-11111-1-1-1-1-1-1-1-1-1-1-11111-111-1-11111-1-1-1-11-1-11-11
χ17222222-2-2222222200222-2-2-2-222-2-22200000000-2-200000000-200002222-2-2000002200-2000000000000-200000
χ18222222-2-2222222200222-2-2-2-222-2-2-2-200000000-2-2000000002000022-2-2-2-200000-2-2002000000000000200000
χ19222222-2-2222222200222-2-2-2-2-2-2222200000000-2-200000000-20000-2-2222200000-2-200-2000000000000200000
χ20222222-2-2222222200222-2-2-2-2-2-222-2-200000000-2-20000000020000-2-2-2-2220000022002000000000000-200000
χ2122222-12222-1-1-12-122-1-1-12-1-120000222222-1-122-1-1-1-122-1-1-1-12220000-1-100-1-1-1-1-10020-1-1-1020000-1-100000-100
χ2222222-12222-1-1-12-122-1-1-12-1-12000022-2-2-2-2-1-122-1-111-2-211112220000-1-100111-1-100-20-1-1-10-200001100000100
χ2322222-12222-1-1-12-122-1-1-12-1-120000-2-22222-1-122-1-1-1-122-1-1-1-1-2-2-200001100-1-1-1-1-100-201110-200001100000100
χ2422222-12222-1-1-12-122-1-1-12-1-120000-2-2-2-2-2-2-1-122-1-111-2-21111-2-2-200001100111-1-10020111020000-1-100000-100
χ2522222-12222-1-1-12-1-2-2-1-1-12-1-12000022222-211-2-2-1-111-2-211112-2-20000-1-100-1-1-1110020-1110-200001100000-100
χ2622222-12222-1-1-12-1-2-2-1-1-12-1-12000022-2-2-2211-2-2-1-1-1-122-1-1-1-12-2-20000-1-1001111100-20-111020000-1-100000100
χ2722222-12222-1-1-12-1-2-2-1-1-12-1-120000-2-2222-211-2-2-1-111-2-21111-22200001100-1-1-11100-201-1-1020000-1-100000100
χ2822222-12222-1-1-12-1-2-2-1-1-12-1-120000-2-2-2-2-2211-2-2-1-1-1-122-1-1-1-1-222000011001111100201-1-10-200001100000-100
χ292222-1222-1-1222-1-122-1-1-1-122-12222002-1-1222-1-1-1-122-1-1-1-1-1-100022-1-100-1-12-1-1-1-1000200020-1-1-1-100-1-1000000
χ302222-1222-1-1222-1-122-1-1-1-122-1222200-211-222-1-1-1-1-2-211111100022-1-100-1-1-211-1-1000-2000-20-1-1110011000000
χ312222-1222-1-1222-1-122-1-1-1-122-1-2-2-2-2002-1-1222-1-1-1-122-1-1-1-1-1-1000-2-21100112-1-1-1-1000-2000-2011110011000000
χ322222-1222-1-1222-1-122-1-1-1-122-1-2-2-2-200-211-222-1-1-1-1-2-2111111000-2-2110011-211-1-100020002011-1-100-1-1000000
χ332222-1222-1-1222-1-1-2-2-1-1-1-122-12222002-1-1-2-2-211-1-1-2-2111111000-2-2-1-100-1-12-1-1110002000-2011-1-10011000000
χ342222-1222-1-1222-1-1-2-2-1-1-1-122-1222200-2112-2-211-1-122-1-1-1-1-1-1000-2-2-1-100-1-1-21111000-200020111100-1-1000000
χ352222-1222-1-1222-1-1-2-2-1-1-1-122-1-2-2-2-2002-1-1-2-2-211-1-1-2-2111111000221100112-1-111000-200020-1-11100-1-1000000
χ362222-1222-1-1222-1-1-2-2-1-1-1-122-1-2-2-2-200-2112-2-211-1-122-1-1-1-1-1-100022110011-211110002000-20-1-1-1-10011000000
χ372-2-22222-2-2-2-22-2222-2-2-22-22-222-22-20000002-22-2-22000000000002-22-2002-20002-20000000002-2000000000000
χ382-2-22222-2-2-2-22-2222-2-2-22-22-22-22-220000002-22-2-2200000000000-22-2200-220002-2000000000-22000000000000
χ392-2-22222-2-2-2-22-222-22-2-22-22-222-22-2000000-22-22-2200000000000-222-2002-2000-22000000000-22000000000000
χ402-2-22222-2-2-2-22-222-22-2-22-22-22-22-22000000-22-22-22000000000002-2-2200-22000-220000000002-2000000000000
χ412-2-2222-22-2-2-22-22200-2-222-22-22-2-2200000000002-20000000002-2002-200-2200000000002-2000000000002-2000
χ422-2-2222-22-2-2-22-22200-2-222-22-22-2-2200000000002-2000000000-22002-200-220000000000-2200000000000-22000
χ432-2-2222-22-2-2-22-22200-2-222-22-2-222-200000000002-20000000002-200-22002-200000000002-200000000000-22000
χ442-2-2222-22-2-2-22-22200-2-222-22-2-222-200000000002-2000000000-2200-22002-20000000000-22000000000002-2000
χ452-2-22-122-211-22-2-1-12-211-112-2-12-22-2000−i3i302-2-111-100−i3i3−i3−i3i3i30002-2-1100-110−i3i3-11000000000-11−i3i300−i3i3000000
χ462-2-22-122-211-22-2-1-12-211-112-2-12-22-2000i3−i302-2-111-100i3−i3i3i3−i3−i30002-2-1100-110i3−i3-11000000000-11i3−i300i3−i3000000
χ472-2-22-122-211-22-2-1-12-211-112-2-1-22-22000−i3i302-2-111-100−i3i3−i3−i3i3i3000-221-1001-10−i3i3-110000000001-1i3−i300i3−i3000000
χ482-2-22-122-211-22-2-1-12-211-112-2-1-22-22000i3−i302-2-111-100i3−i3i3i3−i3−i3000-221-1001-10i3−i3-110000000001-1−i3i300−i3i3000000
χ492-2-22-122-211-22-2-1-1-2211-112-2-12-22-2000−i3i30-221-11-100i3−i3i3i3−i3−i3000-22-1100-110−i3i31-10000000001-1−i3i300i3−i3000000
χ502-2-22-122-211-22-2-1-1-2211-112-2-12-22-2000i3−i30-221-11-100−i3i3−i3−i3i3i3000-22-1100-110i3−i31-10000000001-1i3−i300−i3i3000000
χ512-2-22-122-211-22-2-1-1-2211-112-2-1-22-22000−i3i30-221-11-100i3−i3i3i3−i3−i30002-21-1001-10−i3i31-1000000000-11i3−i300−i3i3000000
χ522-2-22-122-211-22-2-1-1-2211-112-2-1-22-22000i3−i30-221-11-100−i3i3−i3−i3i3i30002-21-1001-10i3−i31-1000000000-11−i3i300i3−i3000000
χ5344444-2-4-444-2-2-24-200-2-2-2-422-4000044000000002200000000-4000000-2-2000000000002000000000000000000
χ5444444-2-4-444-2-2-24-200-2-2-2-422-40000-4-400000000220000000040000002200000000000-2000000000000000000
χ554444-24-4-4-2-2444-2-200-2-2-22-4-4244-4-40000000000220000000000000-2-200220000000000000000000000000000
χ564444-24-4-4-2-2444-2-200-2-2-22-4-42-4-44400000000002200000000000002200-2-20000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-20000004-2-24-2-2-2-211-2-2-2-2111100000000000-2111100000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-2000000-422-4-2-2-2-2112222-1-1-1-1000000000002-1-11100000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000004-2-2-42222112222-1-1-1-100000000000-211-1-100000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2000000-4224222211-2-2-2-21111000000000002-1-1-1-100000000000000000000000
χ6144-4-444004-4-4-44-44004-4-4000000000000000000000000000000000000000000004i−4i000000000000000000000
χ6244-4-444004-4-4-44-44004-4-400000000000000000000000000000000000000000000−4i4i000000000000000000000
χ634-44-44400-444-4-4-4400-44-4000000004i−4i00000000000000000000000004i−4i000000000000000000000000000000
χ644-44-44400-444-4-4-4400-44-400000000−4i4i0000000000000000000000000−4i4i000000000000000000000000000000
χ654-44-44-200-44-222-4-2002-22000000004i−4i00000000006−6006−66−60000000−2i2i00000000000000000000i6−i600000000
χ664-44-44-200-44-222-4-2002-22000000004i−4i0000000000−6600−66−660000000−2i2i00000000000000000000−i6i600000000
χ674-44-44-200-44-222-4-2002-2200000000−4i4i00000000006−6006−66−600000002i−2i00000000000000000000−i6i600000000
χ684-44-44-200-44-222-4-2002-2200000000−4i4i0000000000−6600−66−6600000002i−2i00000000000000000000i6−i600000000
χ694-4-444-24-4-4-42-224-24-422-2-4-2240000000000-224-42-20000000000000000000000-2200000000000000000000000
χ704-4-444-24-4-4-42-224-2-4422-2-4-22400000000002-2-442-200000000000000000000002-200000000000000000000000
χ714-4-444-2-44-4-42-224-20022-242-2-400000000000000-220000000004-4000000000000000000-220000000000000000
χ724-4-444-2-44-4-42-224-20022-242-2-400000000000000-22000000000-440000000000000000002-20000000000000000
χ734-4-44-24-4422-44-4-2-20022-2-2-4424-4-440000000000-220000000000000-22002-20000000000000000000000000000
χ744-4-44-24-4422-44-4-2-20022-2-2-442-444-40000000000-2200000000000002-200-220000000000000000000000000000
χ754-4-44-2-24-4222-22-214-4-1-112-22-20000000−2i32i30-22-22-1100−2i32i3i3i3−i3−i3000000000000i3−i31-100000000000000000000000
χ764-4-44-2-24-4222-22-214-4-1-112-22-200000002i3−2i30-22-22-11002i3−2i3−i3−i3i3i3000000000000−i3i31-100000000000000000000000
χ774-4-44-2-24-4222-22-21-44-1-112-22-20000000−2i32i302-22-2-11002i3−2i3−i3−i3i3i3000000000000i3−i3-1100000000000000000000000
χ784-4-44-2-24-4222-22-21-44-1-112-22-200000002i3−2i302-22-2-1100−2i32i3i3i3−i3−i3000000000000−i3i3-1100000000000000000000000
χ798888-4-4-8-8-4-4-4-4-4-4200222444400000000000000-2-200000000000000000000000000000000000000000000000
χ8088-8-88-4008-844-4-8-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4800-44-8-884-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-400-4444-442002-2-2000000000000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000
χ8388-8-8-4-400-4444-442002-2-20000000000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000
χ848-88-8-48004-48-8-84-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-4004-4-4444200-22-20000000000000000000026−2600−66−66000000000000000000000000000000000000000
χ868-88-8-4-4004-4-4444200-22-200000000000000000000−2626006−66−6000000000000000000000000000000000000000
χ878-8-88-4-4-88444-44-4200-2-22-44-44000000000000002-200000000000000000000000000000000000000000000000

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