Finite Group Databasebeta

← Group #11864153

Character table — Group #11864153

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444666666888888888888888888121212121212121212121216161616161818242424242424242424242424242424363636487272
order12223344666666344666121212122244442668121212121212242424242424242422222661212121266612122224666666688242424244441248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111-1-1-11111-1-111111-1-1-1-1-1-1-1-1111-1-1-1
χ31111111111111111111111111111-1-111111111111111111111-1-1-11111-1-111111-1-11-1-1-1-111111-1-1-111-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-111-1-1-11-1-1-111-1-1-1111-1-1-1-1-1111
χ5111111111111111111111111-1-1-1-111111111111111111111-1-1111-1-1-1-11111111-1-1-11111-1-1-1-1-1111-1-1-1-1-11-1-1
χ6111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-111-1-11-1111-1-1111-1-1-111-1-1-1-111
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
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1111111111111-1-1
χ9111111111111111-1-11111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1111111111-1-111111-1-1-1-111-1-1-1-1-1-11-1-111-1
χ10111111111111111-1-11111111111111-1-1-11-1-1-1-11111111111-1-11-1-1111111-1-1-1-1-111-1-11-1-1-1-1-1-11111111-1-1-1-11
χ11111111111111111-1-111111111111-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-11-1-111-1-111-1111-1-1-111-1-11
χ12111111111111111-1-111111111111-1-1-1-1-11-1-1-1-11111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-11-111-1-1-1-11-1-1-111-11111-1
χ13111111111111111-1-11111111-1-1-1-111111-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111-1-1-1-1-111-1-111-1-11-1-1-111-1111-11
χ14111111111111111-1-11111111-1-1-1-111-1-1-11-1-1-1-11111111111111-1-1-1-1-1-111-1-1-1-1-1-1-11-11-1-11111-1111-1-1-111-11-1
χ15111111111111111-1-11111111-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1111-1-111-1-1-11111-1-11111111-1-1-11-1
χ16111111111111111-1-11111111-1-1-1-1-1-1-1-1-11-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-11111-1111111-1-1-1-1-1-11-1-11-11
χ17222222-2-2222222200222-2-2-2-222-2-22200000000-2-20000000000-20022-2-22200000-2-200-2000000000000200000
χ18222222-2-2222222200222-2-2-2-222-2-2-2-200000000-2-2000000000020022-2-2-2-20000022002000000000000-200000
χ19222222-2-2222222200222-2-2-2-2-2-2222200000000-2-20000000000-200-2-22222000002200-2000000000000-200000
χ20222222-2-2222222200222-2-2-2-2-2-222-2-200000000-2-20000000000200-2-222-2-200000-2-2002000000000000200000
χ2122222-1222-1-122-1-122-1-1-1-122-12222002-1-1222-1-1-1-122-1-1-1-1-1-122000-1-1-1-1002-1-1-1-10020000-1-1-1-12000-1-1000000
χ2222222-1222-1-122-1-122-1-1-1-122-1222200-211-222-1-1-1-1-2-211111122000-1-1-1-100-211-1-100-20000-1-111-200011000000
χ2322222-1222-1-122-1-122-1-1-1-122-1-2-2-2-2002-1-1222-1-1-1-122-1-1-1-1-1-1-2-20001111002-1-1-1-100-200001111-200011000000
χ2422222-1222-1-122-1-122-1-1-1-122-1-2-2-2-200-211-222-1-1-1-1-2-2111111-2-2000111100-211-1-1002000011-1-12000-1-1000000
χ2522222-1222-1-122-1-1-2-2-1-1-1-122-12222002-1-1-2-2-211-1-1-2-2111111-2-2000-1-1-1-1002-1-111002000011-1-1-200011000000
χ2622222-1222-1-122-1-1-2-2-1-1-1-122-1222200-2112-2-211-1-122-1-1-1-1-1-1-2-2000-1-1-1-100-2111100-2000011112000-1-1000000
χ2722222-1222-1-122-1-1-2-2-1-1-1-122-1-2-2-2-2002-1-1-2-2-211-1-1-2-2111111220001111002-1-11100-20000-1-1112000-1-1000000
χ2822222-1222-1-122-1-1-2-2-1-1-1-122-1-2-2-2-200-2112-2-211-1-122-1-1-1-1-1-122000111100-211110020000-1-1-1-1-200011000000
χ292222-1222-122-1-12-122-1-1-12-1-120000222222-1-122-1-1-1-122-1-1-1-1002220000-1-1-1-1-1-1-10002-1-1-1000002-1-100000-100
χ302222-1222-122-1-12-122-1-1-12-1-12000022-2-2-2-2-1-122-1-111-2-21111002220000-1-1111-1-1000-2-1-1-100000-21100000100
χ312222-1222-122-1-12-122-1-1-12-1-120000-2-22222-1-122-1-1-1-122-1-1-1-100-2-2-2000011-1-1-1-1-1000-211100000-21100000100
χ322222-1222-122-1-12-122-1-1-12-1-120000-2-2-2-2-2-2-1-122-1-111-2-2111100-2-2-2000011111-1-10002111000002-1-100000-100
χ332222-1222-122-1-12-1-2-2-1-1-12-1-12000022222-211-2-2-1-111-2-21111002-2-20000-1-1-1-1-1110002-11100000-21100000-100
χ342222-1222-122-1-12-1-2-2-1-1-12-1-12000022-2-2-2211-2-2-1-1-1-122-1-1-1-1002-2-20000-1-111111000-2-111000002-1-100000100
χ352222-1222-122-1-12-1-2-2-1-1-12-1-120000-2-2222-211-2-2-1-111-2-2111100-222000011-1-1-111000-21-1-1000002-1-100000100
χ362222-1222-122-1-12-1-2-2-1-1-12-1-120000-2-2-2-2-2211-2-2-1-1-1-122-1-1-1-100-2220000111111100021-1-100000-21100000-100
χ372-2-22222-2-2-2-22-2222-2-2-22-22-222-22-20000002-22-2-22000000002-20002-22-2000002-200000002-200000000000000
χ382-2-22222-2-2-2-22-2222-2-2-22-22-22-22-220000002-22-2-2200000000-22000-22-22000002-20000000-2200000000000000
χ392-2-22222-2-2-2-22-222-22-2-22-22-222-22-2000000-22-22-2200000000-220002-22-200000-220000000-2200000000000000
χ402-2-22222-2-2-2-22-222-22-2-22-22-22-22-22000000-22-22-22000000002-2000-22-2200000-2200000002-200000000000000
χ412-2-2222-22-2-2-22-22200-2-222-22-22-2-2200000000002-2000000000002-22-2-220000000000002-2000000000002-2000
χ422-2-2222-22-2-2-22-22200-2-222-22-22-2-2200000000002-200000000000-222-2-22000000000000-2200000000000-22000
χ432-2-2222-22-2-2-22-22200-2-222-22-2-222-200000000002-2000000000002-2-222-20000000000002-200000000000-22000
χ442-2-2222-22-2-2-22-22200-2-222-22-2-222-200000000002-200000000000-22-222-2000000000000-22000000000002-2000
χ452-2-222-12-2-2112-2-1-12-211-112-2-12-22-2000−i3i302-2-111-100−i3i3−i3−i3i3i32-2000-11-11000−i3i3-110000000-11−i3i30000−i3i3000000
χ462-2-222-12-2-2112-2-1-12-211-112-2-12-22-2000i3−i302-2-111-100i3−i3i3i3−i3−i32-2000-11-11000i3−i3-110000000-11i3−i30000i3−i3000000
χ472-2-222-12-2-2112-2-1-12-211-112-2-1-22-22000−i3i302-2-111-100−i3i3−i3−i3i3i3-220001-11-1000−i3i3-1100000001-1i3−i30000i3−i3000000
χ482-2-222-12-2-2112-2-1-12-211-112-2-1-22-22000i3−i302-2-111-100i3−i3i3i3−i3−i3-220001-11-1000i3−i3-1100000001-1−i3i30000−i3i3000000
χ492-2-222-12-2-2112-2-1-1-2211-112-2-12-22-2000−i3i30-221-11-100i3−i3i3i3−i3−i3-22000-11-11000−i3i31-100000001-1−i3i30000i3−i3000000
χ502-2-222-12-2-2112-2-1-1-2211-112-2-12-22-2000i3−i30-221-11-100−i3i3−i3−i3i3i3-22000-11-11000i3−i31-100000001-1i3−i30000−i3i3000000
χ512-2-222-12-2-2112-2-1-1-2211-112-2-1-22-22000−i3i30-221-11-100i3−i3i3i3−i3−i32-20001-11-1000−i3i31-10000000-11i3−i30000−i3i3000000
χ522-2-222-12-2-2112-2-1-1-2211-112-2-1-22-22000i3−i30-221-11-100−i3i3−i3−i3i3i32-20001-11-1000i3−i31-10000000-11−i3i30000i3−i3000000
χ5344444-2-4-44-2-244-2-200-2-2-22-4-4244-4-40000000000220000000000000-2-222000000000000000000000000000000
χ5444444-2-4-44-2-244-2-200-2-2-22-4-42-4-444000000000022000000000000022-2-2000000000000000000000000000000
χ554444-24-4-4-244-2-24-200-2-2-2-422-400004400000000220000000000-4000000-2-20000000002000000000000000000
χ564444-24-4-4-244-2-24-200-2-2-2-422-40000-4-400000000220000000000400000022000000000-2000000000000000000
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
χ6144-4-4440044-4-4-4-44004-4-4000000004i−4i0000000000000000000000000004i−4i0000000000000000000000000000
χ6244-4-4440044-4-4-4-44004-4-400000000−4i4i000000000000000000000000000−4i4i0000000000000000000000000000
χ6344-4-4-2400-24-422-4-200-222000000004i−4i00000000006−6006−66−6000000000−2i2i000000000000000000i6−i600000000
χ6444-4-4-2400-24-422-4-200-222000000004i−4i0000000000−6600−66−66000000000−2i2i000000000000000000−i6i600000000
χ6544-4-4-2400-24-422-4-200-22200000000−4i4i00000000006−6006−66−60000000002i−2i000000000000000000−i6i600000000
χ6644-4-4-2400-24-422-4-200-22200000000−4i4i0000000000−6600−66−660000000002i−2i000000000000000000i6−i600000000
χ674-44-44400-4-44-44-4400-44-4000000000000000000000000000000000000000000004-4000000000000000000000
χ684-44-44400-4-44-44-4400-44-400000000000000000000000000000000000000000000-44000000000000000000000
χ694-4-444-2-44-4224-4-2-20022-2-2-4424-4-440000000000-220000000000000-222-2000000000000000000000000000000
χ704-4-444-2-44-4224-4-2-20022-2-2-442-444-40000000000-2200000000000002-2-22000000000000000000000000000000
χ714-4-44-244-42-4-4-224-24-422-2-4-2240000000000-224-42-20000000000000000000000-2200000000000000000000000
χ724-4-44-244-42-4-4-224-2-4422-2-4-22400000000002-2-442-200000000000000000000002-200000000000000000000000
χ734-4-44-24-442-4-4-224-20022-242-2-400000000000000-22000000000004-40000000000000000-220000000000000000
χ744-4-44-24-442-4-4-224-20022-242-2-400000000000000-2200000000000-4400000000000000002-20000000000000000
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
χ8088-8-88-4008-44-8-84-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-4-444442002-2-20000000000000000000026−2600−66−66000000000000000000000000000000000000000
χ8288-8-8-4-400-4-444442002-2-200000000000000000000−2626006−66−6000000000000000000000000000000000000000
χ838-88-88-400-84-4-884-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-48004-884-4-8-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-40044-44-44200-22-2000000000000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000
χ868-88-8-4-40044-44-44200-22-20000000000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000
χ878-8-88-4-4-88444-44-4200-2-22-44-44000000000000002-200000000000000000000000000000000000000000000000

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