Finite Group Databasebeta

← Group #11864223

Character table — Group #11864223

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444666666888888888888888888121212121212121212121216161616161818242424242424242424242424242424363636487272
order122233446666663446661212121222444448121212121212121224242424242424242222266121212121212121212224466666881212242424244441248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-111111111111-111-1-111-1-111111-1-1-1-1-1-1-1-1111-1-1-1
χ31111111111111111111111111111-1-111111111111111111111-1-1-111-1-11111111-1-1-1111-1-1-11-111-1-111-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-111-1-111-111-1-1-1-11-111-1-1-1-11-1-111-1-1-1-1-1111
χ5111111111111111111111111-1-1-1-111111111111111111111-1-1111-1-111-1-111111-1-11-1-1-1111-11-1-111-1-1-1-1-11-1-1
χ6111111111111111111111111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-111-1-1-1-1-11-1-11111-111-1-111-1-1-1-111
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
χ8111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1111111111111-1-1
χ9111111111111111-1-111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1111111-1-11-1-1-1-111-1-1-1-11-1-111-1
χ10111111111111111-1-11111111111111-11-1-1-1-1-1-11111111111-1-11-1-1111111-1-1-1-1-111-1-1-1-11-1-111-1-111111-1-1-1-11
χ11111111111111111-1-111111111111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-111-1-1-11-1-1-111-111111-1-1-111-1-11
χ12111111111111111-1-111111111111-1-1-11-1-1-1-1-1-11111111111-1-1-11111-1-111-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-111-11111-1
χ13111111111111111-1-11111111-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-111-1-11-1-111-1-11-1111-1-11-1-1-1-1-111-1111-11
χ14111111111111111-1-11111111-1-1-1-111-11-1-1-1-1-1-11111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-111111-1-1-111-11-1
χ15111111111111111-1-11111111-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-11-1-11111-1-111-11111-1-111111-1-1-11-1
χ16111111111111111-1-11111111-1-1-1-1-1-1-11-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1111111-111-1-111-1-1-1-11-1-11-11
χ17222222-2-2222222200222-2-2-2-222-2-22200000000-2-20000000000-2002222-2-200000-2-20000-20000000000200000
χ18222222-2-2222222200222-2-2-2-222-2-2-2-200000000-2-2000000000020022-2-2-2-20000022000020000000000-200000
χ19222222-2-2222222200222-2-2-2-2-2-2222200000000-2-20000000000-200-2-2222200000220000-20000000000-200000
χ20222222-2-2222222200222-2-2-2-2-2-222-2-200000000-2-20000000000200-2-2-2-22200000-2-2000020000000000200000
χ2122222-12222-1-1-12-122-1-1-12-1-1200002222-1-12222-1-1-1-122-1-1-1-10022200-1-100-1-1-1-1-1002000-1-1-10200-1-100000-100
χ2222222-12222-1-1-12-122-1-1-12-1-12000022-2-2-1-122-2-2-1-111-2-211110022200-1-1001-1-11100-2000-1-1-10-2001100000100
χ2322222-12222-1-1-12-122-1-1-12-1-120000-2-222-1-12222-1-1-1-122-1-1-1-100-2-2-2001100-1-1-1-1-100-20001110-2001100000100
χ2422222-12222-1-1-12-122-1-1-12-1-120000-2-2-2-2-1-122-2-2-1-111-2-2111100-2-2-20011001-1-1110020001110200-1-100000-100
χ2522222-12222-1-1-12-1-2-2-1-1-12-1-120000222-211-2-222-1-111-2-21111002-2-200-1-100-111-1-1002000-1110-2001100000-100
χ2622222-12222-1-1-12-1-2-2-1-1-12-1-12000022-2211-2-2-2-2-1-1-1-122-1-1-1-1002-2-200-1-1001111100-2000-1110200-1-100000100
χ2722222-12222-1-1-12-1-2-2-1-1-12-1-120000-2-22-211-2-222-1-111-2-2111100-222001100-111-1-100-20001-1-10200-1-100000100
χ2822222-12222-1-1-12-1-2-2-1-1-12-1-120000-2-2-2211-2-2-2-2-1-1-1-122-1-1-1-100-222001100111110020001-1-10-2001100000-100
χ292222-1222-1-1222-1-122-1-1-1-122-12222002222-1-1-1-1-1-122-1-1-1-1-1-122000-1-100-1-12-1-1-1-10002-1-100020-1-100-1-1000000
χ302222-1222-1-1222-1-122-1-1-1-122-1222200-2-222-1-111-1-1-2-211111122000-1-100-1-1-2-1-111000-2-1-1000-20110011000000
χ312222-1222-1-1222-1-122-1-1-1-122-1-2-2-2-2002222-1-1-1-1-1-122-1-1-1-1-1-1-2-20001100112-1-1-1-1000-211000-20110011000000
χ322222-1222-1-1222-1-122-1-1-1-122-1-2-2-2-200-2-222-1-111-1-1-2-2111111-2-2000110011-2-1-11100021100020-1-100-1-1000000
χ332222-1222-1-1222-1-1-2-2-1-1-1-122-12222002-2-2-211-1-1-1-1-2-2111111-2-2000-1-100-1-1211-1-1000211000-20-1-10011000000
χ342222-1222-1-1222-1-1-2-2-1-1-1-122-1222200-22-2-21111-1-122-1-1-1-1-1-1-2-2000-1-100-1-1-21111000-211000201100-1-1000000
χ352222-1222-1-1222-1-1-2-2-1-1-1-122-1-2-2-2-2002-2-2-211-1-1-1-1-2-211111122000110011211-1-1000-2-1-1000201100-1-1000000
χ362222-1222-1-1222-1-1-2-2-1-1-1-122-1-2-2-2-200-22-2-21111-1-122-1-1-1-1-1-122000110011-211110002-1-1000-20-1-10011000000
χ372-2-22222-2-2-2-2-22222-2-2-22-22-222-22-200002-22-200-22000000002-20002-2002-202-20000002-200000000000000000
χ382-2-22222-2-2-2-2-22222-2-2-22-22-22-22-2200002-22-200-2200000000-22000-2200-2202-2000000-2200000000000000000
χ392-2-22222-2-2-2-2-2222-22-2-22-22-222-22-20000-22-2200-2200000000-220002-2002-20-22000000-2200000000000000000
χ402-2-22222-2-2-2-2-2222-22-2-22-22-22-22-220000-22-2200-22000000002-2000-2200-220-220000002-200000000000000000
χ412-2-2222-22-2-2-2-222200-2-222-22-22-2-2200000000002-2000000000002-22-200-220000000000002-20000000002-2000
χ422-2-2222-22-2-2-2-222200-2-222-22-22-2-2200000000002-200000000000-222-200-22000000000000-22000000000-22000
χ432-2-2222-22-2-2-2-222200-2-222-22-2-222-200000000002-2000000000002-2-22002-20000000000002-2000000000-22000
χ442-2-2222-22-2-2-2-222200-2-222-22-2-222-200000000002-200000000000-22-22002-2000000000000-220000000002-2000
χ452-2-22-122-211-2-22-1-12-211-112-2-12-22-200002-2-11−i3i31-100−i3i3−i3−i3i3i32-2000-1100-110-11−i3i30000-1100000−i3i300−i3i3000000
χ462-2-22-122-211-2-22-1-12-211-112-2-12-22-200002-2-11i3−i31-100i3−i3i3i3−i3−i32-2000-1100-110-11i3−i30000-1100000i3−i300i3−i3000000
χ472-2-22-122-211-2-22-1-12-211-112-2-1-22-2200002-2-11−i3i31-100−i3i3−i3−i3i3i3-220001-1001-10-11−i3i300001-100000i3−i300i3−i3000000
χ482-2-22-122-211-2-22-1-12-211-112-2-1-22-2200002-2-11i3−i31-100i3−i3i3i3−i3−i3-220001-1001-10-11i3−i300001-100000−i3i300−i3i3000000
χ492-2-22-122-211-2-22-1-1-2211-112-2-12-22-20000-221-1−i3i31-100i3−i3i3i3−i3−i3-22000-1100-1101-1−i3i300001-100000−i3i300i3−i3000000
χ502-2-22-122-211-2-22-1-1-2211-112-2-12-22-20000-221-1i3−i31-100−i3i3−i3−i3i3i3-22000-1100-1101-1i3−i300001-100000i3−i300−i3i3000000
χ512-2-22-122-211-2-22-1-1-2211-112-2-1-22-220000-221-1−i3i31-100i3−i3i3i3−i3−i32-20001-1001-101-1−i3i30000-1100000i3−i300−i3i3000000
χ522-2-22-122-211-2-22-1-1-2211-112-2-1-22-220000-221-1i3−i31-100−i3i3−i3−i3i3i32-20001-1001-101-1i3−i30000-1100000−i3i300i3−i3000000
χ5344444-2-4-444-2-2-24-200-2-2-2-422-400004400000000220000000000-40000-2-2000000000000020000000000000000
χ5444444-2-4-444-2-2-24-200-2-2-2-422-40000-4-40000000022000000000040000220000000000000-20000000000000000
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
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-200000044-2-2-2-2-2-211-2-2-2-2111100000000000-2111100000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-2000000-4-4-2-2-2-222112222-1-1-1-100000000000211-1-100000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000004-42222-2-2112222-1-1-1-100000000000-2-1-11100000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2000000-4422222211-2-2-2-21111000000000002-1-1-1-100000000000000000000000
χ6144-4-444004-44-4-4-44004-4-4000000000000000000000000000000000000000000004-4000000000000000000000
χ6244-4-444004-44-4-4-44004-4-400000000000000000000000000000000000000000000-44000000000000000000000
χ634-44-44400-44-44-4-4400-44-4000000004i−4i00000000000000000000000004i−4i000000000000000000000000000000
χ644-44-44400-44-44-4-4400-44-400000000−4i4i0000000000000000000000000−4i4i000000000000000000000000000000
χ654-44-44-200-442-22-4-2002-22000000004i−4i0000000000i6−i600i6−i6i6−i60000000−2i2i000000000000000000006−600000000
χ664-44-44-200-442-22-4-2002-22000000004i−4i0000000000−i6i600−i6i6−i6i60000000−2i2i00000000000000000000−6600000000
χ674-44-44-200-442-22-4-2002-2200000000−4i4i0000000000i6−i600i6−i6i6−i600000002i−2i00000000000000000000−6600000000
χ684-44-44-200-442-22-4-2002-2200000000−4i4i0000000000−i6i600−i6i6−i6i600000002i−2i000000000000000000006−600000000
χ694-4-444-24-4-4-422-24-24-422-2-4-22400000000-224-4002-200000000000000000000-220000000000000000000000000
χ704-4-444-24-4-4-422-24-2-4422-2-4-224000000002-2-44002-2000000000000000000002-20000000000000000000000000
χ714-4-444-2-44-4-422-24-20022-242-2-400000000000000-22000000000004-4000000000000000000-2200000000000000
χ724-4-444-2-44-4-422-24-20022-242-2-400000000000000-2200000000000-440000000000000000002-200000000000000
χ734-4-44-24-4422-4-44-2-20022-2-2-4424-4-440000000000-220000000000000-22002-20000000000000000000000000000
χ744-4-44-24-4422-4-44-2-20022-2-2-442-444-40000000000-2200000000000002-200-220000000000000000000000000000
χ754-4-44-2-24-42222-2-214-4-1-112-22-200000000-22-22−2i32i3-1100−2i32i3i3i3−i3−i30000000000001-1i3−i300000000000000000000000
χ764-4-44-2-24-42222-2-214-4-1-112-22-200000000-22-222i3−2i3-11002i3−2i3−i3−i3i3i30000000000001-1−i3i300000000000000000000000
χ774-4-44-2-24-42222-2-21-44-1-112-22-2000000002-22-2−2i32i3-11002i3−2i3−i3−i3i3i3000000000000-11i3−i300000000000000000000000
χ784-4-44-2-24-42222-2-21-44-1-112-22-2000000002-22-22i3−2i3-1100−2i32i3i3i3−i3−i3000000000000-11−i3i300000000000000000000000
χ798888-4-4-8-8-4-4-4-4-4-4200222444400000000000000-2-200000000000000000000000000000000000000000000000
χ8088-8-88-4008-8-444-8-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4800-448-8-84-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-400-44-44442002-2-200000000000000000000000032−32−3232000000000000000000000000000000000000000
χ8388-8-8-4-400-44-44442002-2-2000000000000000000000000−323232−32000000000000000000000000000000000000000
χ848-88-8-48004-4-88-84-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-4004-44-444200-22-2000000000000000000002i6−2i600−i6i6−i6i6000000000000000000000000000000000000000
χ868-88-8-4-4004-44-444200-22-200000000000000000000−2i62i600i6−i6i6−i6000000000000000000000000000000000000000
χ878-8-88-4-4-884444-4-4200-2-22-44-44000000000000002-200000000000000000000000000000000000000000000000

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