Finite Group Databasebeta

← Group #11866148

Character table — Group #11866148

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444666666888888888888888888121212121212121212121216161616161818242424242424242424242424242424363636487272
order12223344666666344666121212122244444812121212121212122424242424242424224446612121212121212121244246688121212121224242424444628
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-111111111111-111-1-111-1-111-1-1111-1-1-1-1-1-1111-1-1-1
χ31111111111111111111111111111-1-111111111111111111111-1-1-111-1-11111111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-111-1-111-111-1-1-1-11-111-11-1-1-1-1-1-1-111-1-1-1111
χ5111111111111111111111111-1-1-1-111111111111111111111-1-1111-1-111-1-111111-1-11-1-1-1-11111-1-1-1-111-1-1-11-1-1
χ6111111111111111111111111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-111-1-1-1-1-11-1-11-11111111-1-1-1-1-1-111
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
χ8111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-11111111111-1-1
χ9111111111111111-1-111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1111111-1-1-1-11-1-111-1-1-1-11-1-111-1
χ10111111111111111-1-11111111111111-11-1-1-1-1-1-11111111111-1-11-1-1111111-1-1-1-1-111-1-1-1-1111-1-1-1-111111-1-1-1-11
χ11111111111111111-1-111111111111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-111-1-1-11-1-1-11-11111-1-111-111-1-11
χ12111111111111111-1-111111111111-1-1-11-1-1-1-1-1-11111111111-1-1-11111-1-111-1-1-1-1-1-1-11-1-1-11-1-111-1-111-1-1-11111-1
χ13111111111111111-1-11111111-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-111-1-11-1-111-1-11-1111-11-1-1-1-111-1-1-1111-11
χ14111111111111111-1-11111111-1-1-1-111-11-1-1-1-1-1-11111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-111-1-111-1-111-111-11-1
χ15111111111111111-1-11111111-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-11-1-11111-1-11111-111-1-111111-1-1-11-1
χ16111111111111111-1-11111111-1-1-1-1-1-1-11-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11111-1-1-1-11-1-11-11
χ17222222-2-2222222200222-2-2-2-222-2-22200000000-2-20000000000-2002222-2-200000-2-2000000-200000000200000
χ18222222-2-2222222200222-2-2-2-222-2-2-2-200000000-2-2000000000020022-2-2-2-20000022000000200000000-200000
χ19222222-2-2222222200222-2-2-2-2-2-2222200000000-2-20000000000-200-2-222220000022000000-200000000-200000
χ20222222-2-2222222200222-2-2-2-2-2-222-2-200000000-2-20000000000200-2-2-2-22200000-2-2000000200000000200000
χ2122222-122-1-1222-1-122-1-1-12-12-12222002222-1-1-1-1-1-122-1-1-1-1-1-122000-1-100-1-12-1-1-1-10002-1-120000-1-1-1-100000000
χ2222222-122-1-1222-1-122-1-1-12-12-1222200-2-222-1-111-1-1-2-211111122000-1-100-1-1-2-1-111000-2-1-1-20000111100000000
χ2322222-122-1-1222-1-122-1-1-12-12-1-2-2-2-2002222-1-1-1-1-1-122-1-1-1-1-1-1-2-20001100112-1-1-1-1000-211-20000111100000000
χ2422222-122-1-1222-1-122-1-1-12-12-1-2-2-2-200-2-222-1-111-1-1-2-2111111-2-2000110011-2-1-11100021120000-1-1-1-100000000
χ2522222-122-1-1222-1-1-2-2-1-1-12-12-12222002-2-2-211-1-1-1-1-2-2111111-2-2000-1-100-1-1211-1-1000211-20000-1-11100000000
χ2622222-122-1-1222-1-1-2-2-1-1-12-12-1222200-22-2-21111-1-122-1-1-1-1-1-1-2-2000-1-100-1-1-21111000-2112000011-1-100000000
χ2722222-122-1-1222-1-1-2-2-1-1-12-12-1-2-2-2-2002-2-2-211-1-1-1-1-2-211111122000110011211-1-1000-2-1-12000011-1-100000000
χ2822222-122-1-1222-1-1-2-2-1-1-12-12-1-2-2-2-200-22-2-21111-1-122-1-1-1-1-1-122000110011-211110002-1-1-20000-1-11100000000
χ292222-122222-1-1-12-122-1-1-1-12-1200002222-1-12222-1-1-1-122-1-1-1-10022200-1-100-1-1-1-1-100200002-1-1-10000-1-1000-100
χ302222-122222-1-1-12-122-1-1-1-12-12000022-2-2-1-122-2-2-1-111-2-211110022200-1-1001-1-11100-20000-2-1-1-1000011000100
χ312222-122222-1-1-12-122-1-1-1-12-120000-2-222-1-12222-1-1-1-122-1-1-1-100-2-2-2001100-1-1-1-1-100-20000-2111000011000100
χ322222-122222-1-1-12-122-1-1-1-12-120000-2-2-2-2-1-122-2-2-1-111-2-2111100-2-2-20011001-1-111002000021110000-1-1000-100
χ332222-122222-1-1-12-1-2-2-1-1-1-12-120000222-211-2-222-1-111-2-21111002-2-200-1-100-111-1-10020000-2-111000011000-100
χ342222-122222-1-1-12-1-2-2-1-1-1-12-12000022-2211-2-2-2-2-1-1-1-122-1-1-1-1002-2-200-1-1001111100-200002-1110000-1-1000100
χ352222-122222-1-1-12-1-2-2-1-1-1-12-120000-2-22-211-2-222-1-111-2-2111100-222001100-111-1-100-2000021-1-10000-1-1000100
χ362222-122222-1-1-12-1-2-2-1-1-1-12-120000-2-2-2211-2-2-2-2-1-1-1-122-1-1-1-100-222001100111110020000-21-1-1000011000-100
χ3722-2-2222-2-2-2-22-22200-2-2222-2-22-22-200000000002-2000000000002i−2i2-2002-2000000000000002i−2i00000002i−2i000
χ3822-2-2222-2-2-2-22-22200-2-2222-2-22-22-200000000002-200000000000−2i2i2-2002-200000000000000−2i2i0000000−2i2i000
χ3922-2-2222-2-2-2-22-22200-2-2222-2-2-22-2200000000002-2000000000002i−2i-2200-22000000000000002i−2i0000000−2i2i000
χ4022-2-2222-2-2-2-22-22200-2-2222-2-2-22-2200000000002-200000000000−2i2i-2200-2200000000000000−2i2i00000002i−2i000
χ4122-2-222-22-2-2-22-2222-2-2-22-2-2222-2-2200002-22-200-22000000002-20002-200-2202-20000002-200000000000000000
χ4222-2-222-22-2-2-22-2222-2-2-22-2-222-222-200002-22-200-2200000000-22000-22002-202-2000000-2200000000000000000
χ4322-2-222-22-2-2-22-222-22-2-22-2-2222-2-220000-22-2200-2200000000-220002-200-220-22000000-2200000000000000000
χ4422-2-222-22-2-2-22-222-22-2-22-2-222-222-20000-22-2200-22000000002-2000-22002-20-220000002-200000000000000000
χ4522-2-22-1-2211-22-2-1-12-211-1-212-12-2-2200002-2-11−i3i31-100−i3i3−i3−i3i3i32-2000-11001-10-11−i3i30000-1100000−i3i3−i3i300000000
χ4622-2-22-1-2211-22-2-1-12-211-1-212-12-2-2200002-2-11i3−i31-100i3−i3i3i3−i3−i32-2000-11001-10-11i3−i30000-1100000i3−i3i3−i300000000
χ4722-2-22-1-2211-22-2-1-12-211-1-212-1-222-200002-2-11−i3i31-100−i3i3−i3−i3i3i3-220001-100-110-11−i3i300001-100000i3−i3i3−i300000000
χ4822-2-22-1-2211-22-2-1-12-211-1-212-1-222-200002-2-11i3−i31-100i3−i3i3i3−i3−i3-220001-100-110-11i3−i300001-100000−i3i3−i3i300000000
χ4922-2-22-1-2211-22-2-1-1-2211-1-212-12-2-220000-221-1−i3i31-100i3−i3i3i3−i3−i3-22000-11001-101-1−i3i300001-100000−i3i3i3−i300000000
χ5022-2-22-1-2211-22-2-1-1-2211-1-212-12-2-220000-221-1i3−i31-100−i3i3−i3−i3i3i3-22000-11001-101-1i3−i300001-100000i3−i3−i3i300000000
χ5122-2-22-1-2211-22-2-1-1-2211-1-212-1-222-20000-221-1−i3i31-100i3−i3i3i3−i3−i32-20001-100-1101-1−i3i30000-1100000i3−i3−i3i300000000
χ5222-2-22-1-2211-22-2-1-1-2211-1-212-1-222-20000-221-1i3−i31-100−i3i3−i3−i3i3i32-20001-100-1101-1i3−i30000-1100000−i3i3i3−i300000000
χ5344444-2-4-4-2-2444-2-200-2-2-2-42-4244-4-40000000000220000000000000-2-200220000000000000000000000000000
χ5444444-2-4-4-2-2444-2-200-2-2-2-42-42-4-44400000000002200000000000002200-2-20000000000000000000000000000
χ554444-24-4-444-2-2-24-200-2-2-22-42-400004400000000220000000000-40000-2-2000000000000000200000000000000
χ564444-24-4-444-2-2-24-200-2-2-22-42-40000-4-4000000002200000000004000022000000000000000-200000000000000
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
χ6144-4-44-24-422-44-4-2-20022-24-2-424-44-40000000000-220000000000000-2200-220000000000000000000000000000
χ6244-4-44-24-422-44-4-2-20022-24-2-42-44-440000000000-2200000000000002-2002-20000000000000000000000000000
χ6344-4-4-244-4-4-42-224-20022-2-242-400000000000000-22000000000004i−4i00000000000000000000−2i2i000000000000
χ6444-4-4-244-4-4-42-224-20022-2-242-400000000000000-2200000000000−4i4i000000000000000000002i−2i000000000000
χ6544-4-4-24-44-4-42-224-24-422-22-4-2400000000-224-4002-200000000000000000000-220000000000000000000000000
χ6644-4-4-24-44-4-42-224-2-4422-22-4-24000000002-2-44002-2000000000000000000002-20000000000000000000000000
χ6744-4-4-2-2-44222-22-214-4-1-1122-2-200000000-22-22−2i32i3-1100−2i32i3i3i3−i3−i30000000000001-1i3−i300000000000000000000000
χ6844-4-4-2-2-44222-22-214-4-1-1122-2-200000000-22-222i3−2i3-11002i3−2i3−i3−i3i3i30000000000001-1−i3i300000000000000000000000
χ6944-4-4-2-2-44222-22-21-44-1-1122-2-2000000002-22-2−2i32i3-11002i3−2i3−i3−i3i3i3000000000000-11i3−i300000000000000000000000
χ7044-4-4-2-2-44222-22-21-44-1-1122-2-2000000002-22-22i3−2i3-1100−2i32i3i3i3−i3−i3000000000000-11−i3i300000000000000000000000
χ714-44-444004-4-4-44-44004-4-4000000004i−4i00000000000000000000000004i−4i000000000000000000000000000000
χ724-44-444004-4-4-44-44004-4-400000000−4i4i0000000000000000000000000−4i4i000000000000000000000000000000
χ734-44-4-24004-422-2-4-200-222000000004i−4i0000000000i6−i600i6−i6i6−i60000000−2i2i00000000000000000000006−6000000
χ744-44-4-24004-422-2-4-200-222000000004i−4i0000000000−i6i600−i6i6−i6i60000000−2i2i0000000000000000000000−66000000
χ754-44-4-24004-422-2-4-200-22200000000−4i4i0000000000i6−i600i6−i6i6−i600000002i−2i0000000000000000000000−66000000
χ764-44-4-24004-422-2-4-200-22200000000−4i4i0000000000−i6i600−i6i6−i6i600000002i−2i00000000000000000000006−6000000
χ774-4-444400-444-4-4-4400-44-4000000000000000000000000000000000000000000004i−4i000000000000000000000
χ784-4-444400-444-4-4-4400-44-400000000000000000000000000000000000000000000−4i4i000000000000000000000
χ798888-4-4-8-8-4-4-4-4-4-4200222444400000000000000-2-200000000000000000000000000000000000000000000000
χ8088-8-8-4-48-8444-44-4200-2-22-4-444000000000000002-200000000000000000000000000000000000000000000000
χ818-88-88-400-44-8-884-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-400-4444-442002-2-2000000000000000000002i6−2i600−i6i6−i6i6000000000000000000000000000000000000000
χ838-88-8-4-400-4444-442002-2-200000000000000000000−2i62i600i6−i6i6−i6000000000000000000000000000000000000000
χ848-8-888-4004-48-8-84-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-4800-88-444-8-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-4004-4-4444200-22-200000000000000000000000032−32−3232000000000000000000000000000000000000000
χ878-8-88-4-4004-4-4444200-22-2000000000000000000000000−323232−32000000000000000000000000000000000000000

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