Finite Group Databasebeta

← Group #11889291

Character table — Group #11889291

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444444466666688888888888888121212121212121212121212121212161616161616242424242424242424242436364848727272
order12223344666666366688121212122424242444121212124412121212121224242424242422224446688242424241212121212124466681212122424441212248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-11111111111111111-1-1-111-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1111111111-1-111-1-111111111-1-1-1-1-1-1-1-11-1-11-1-111111-1-1-1-11
χ41111111111111111111111111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1
χ51111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-1111-1-111-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-111-1-1-11111-1-11
χ9111111111111111111-1-11111-1-1-1-11111111-1-1-11111-1-1-1-1-1-111111-1-111-1-1-1-1-1-1-11-1-111-11111-1-1-11-1-1111-11-1-1
χ10111111111111111111-1-11111-1-1-1-11111111-1-1-11111-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-11-1-1111-1-1111-1-1-111-1-1-11-111
χ11111111111111111111-1-11111-1-1-1-1111111-1111-1-111-1-1-1-1-1-11-1-1111111-1-1-1-1-1-11-111-1-11-11-1-1-1111-1-111-11-11-1
χ12111111111111111111-1-11111-1-1-1-1111111-1111-1-111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-11-111-1-1-11-1-1-1111-111-1-11-11-11
χ13111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1111111-11-1-111-111-1-1-1111-1-1-1-11-1-111
χ14111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1111111-11-1-1111-1-1-1-1111-11111-111-1-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-11111-1-1-1-11111111-111-1-11-1111-1-1-11-1-1-1-1-111-11
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-111-1-1-1-1-1-11111111-111-1-1-11-1111-1-1-111111-1-11-1
χ17222222-2-2222222222200-2-2-2-20000222222000000-2-2000000-2002-200-2-200000000000000200000-2002-200000
χ18222222-2-2222222222200-2-2-2-20000222222000000-2-2000000-200-2200-2-200000000000000-200000200-2200000
χ19222222-2-2222222222200-2-2-2-20000-2-2-2-2-2-2000000-2-20000002002-2002200000000000000200000-200-2200000
χ20222222-2-2222222222200-2-2-2-20000-2-2-2-2-2-2000000-2-2000000200-22002200000000000000-2000002002-200000
χ2122222-1222-12-1-12-1-1-1-122-12-12-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-12220022-1-122-1-1-1-122-1-1-1-1000-1-10-1-10000000000
χ2222222-1222-12-1-12-1-1-1-122-12-12-1-1-1-122-1-1-1-1-2-21111-1-122-1-1-1-12-2-200-2-2-1-122-1-1-1-1-2-21111000110110000000000
χ2322222-1222-12-1-12-1-1-1-122-12-12-1-1-1-1-2-2111122-1-1-1-1-1-122-1-1-1-1-2-2-200-2-211-2-2111122-1-1-1-1000110110000000000
χ2422222-1222-12-1-12-1-1-1-122-12-12-1-1-1-1-2-21111-2-21111-1-122-1-1-1-1-222002211-2-21111-2-21111000-1-10-1-10000000000
χ2522222-1222-12-1-12-1-1-1-1-2-2-12-12111122-1-1-1-12-211-1-1-1-1-2-2111122200-2-2-1-1-2-21111-2211-1-1000-1-10110000000000
χ2622222-1222-12-1-12-1-1-1-1-2-2-12-12111122-1-1-1-1-22-1-111-1-1-2-211112-2-20022-1-1-2-211112-2-1-111000110-1-10000000000
χ2722222-1222-12-1-12-1-1-1-1-2-2-12-121111-2-211112-211-1-1-1-1-2-21111-2-2-200221122-1-1-1-1-2211-1-1000110-1-10000000000
χ2822222-1222-12-1-12-1-1-1-1-2-2-12-121111-2-21111-22-1-111-1-1-2-21111-22200-2-21122-1-1-1-12-2-1-111000-1-10110000000000
χ292222-1222-12-122-1-1-1-1-1222-12-12222000000222222-1-1-1-1-1-1-1-1000220000000000-1-1-1-1-1-122-100200-1-1-100-1-1000
χ302222-1222-12-122-1-1-1-1-1222-12-12222000000222222-1-1-1-1-1-1-1-1000-2-20000000000-1-1-1-1-1-1-2-2100-2001110011000
χ312222-1222-12-122-1-1-1-1-1222-12-12222000000-2-2-2-2-2-2-1-1-1-1-1-1-1-1000220000000000111111-2-2-100200-1-1-10011000
χ322222-1222-12-122-1-1-1-1-1222-12-12222000000-2-2-2-2-2-2-1-1-1-1-1-1-1-1000-2-2000000000011111122100-20011100-1-1000
χ332222-1222-12-122-1-1-1-1-1-2-22-12-1-2-2-2-20000002-2-2-222-1-11111110002200000000001-111-1-1-22-100-200-11100-11000
χ342222-1222-12-122-1-1-1-1-1-2-22-12-1-2-2-2-20000002-2-2-222-1-1111111000-2-200000000001-111-1-12-21002001-1-1001-1000
χ352222-1222-12-122-1-1-1-1-1-2-22-12-1-2-2-2-2000000-2222-2-2-1-1111111000220000000000-11-1-1112-2-100-200-111001-1000
χ362222-1222-12-122-1-1-1-1-1-2-22-12-1-2-2-2-2000000-2222-2-2-1-1111111000-2-20000000000-11-1-111-221002001-1-100-11000
χ3722-2-222-22-2-2-22-222-2-222i−2i22-2-22i2i−2i−2i0000000000002-22i−2i2i2i−2i−2i02-2002i−2i000000000000000002-202i−2i0000000000
χ3822-2-222-22-2-2-22-222-2-222i−2i22-2-22i2i−2i−2i0000000000002-22i−2i2i2i−2i−2i0-2200−2i2i00000000000000000-220−2i2i0000000000
χ3922-2-222-22-2-2-22-222-2-22−2i2i22-2-2−2i−2i2i2i0000000000002-2−2i2i−2i−2i2i2i02-200−2i2i000000000000000002-20−2i2i0000000000
χ4022-2-222-22-2-2-22-222-2-22−2i2i22-2-2−2i−2i2i2i0000000000002-2−2i2i−2i−2i2i2i0-22002i−2i00000000000000000-2202i−2i0000000000
χ4122-2-22-1-22-21-2-112-111-12i−2i-121-2−i−iii00−i3−i3i3i3003−3−i3i3-112i−2i−i−iii02-2002i−2i−i3i30033−3−3003−3−i3i3000-110−ii0000000000
χ4222-2-22-1-22-21-2-112-111-12i−2i-121-2−i−iii00−i3−i3i3i300−33i3−i3-112i−2i−i−iii0-2200−2i2i−i3i30033−3−300−33i3−i30001-10i−i0000000000
χ4322-2-22-1-22-21-2-112-111-12i−2i-121-2−i−iii00i3i3−i3−i3003−3−i3i3-112i−2i−i−iii0-2200−2i2ii3−i300−3−333003−3−i3i30001-10i−i0000000000
χ4422-2-22-1-22-21-2-112-111-12i−2i-121-2−i−iii00i3i3−i3−i300−33i3−i3-112i−2i−i−iii02-2002i−2ii3−i300−3−33300−33i3−i3000-110−ii0000000000
χ4522-2-22-1-22-21-2-112-111-1−2i2i-121-2ii−i−i00−i3−i3i3i3003−3i3−i3-11−2i2iii−i−i0-22002i−2i−i3i300−3−333003−3i3−i30001-10−ii0000000000
χ4622-2-22-1-22-21-2-112-111-1−2i2i-121-2ii−i−i00−i3−i3i3i300−33−i3i3-11−2i2iii−i−i02-200−2i2i−i3i300−3−33300−33−i3i3000-110i−i0000000000
χ4722-2-22-1-22-21-2-112-111-1−2i2i-121-2ii−i−i00i3i3−i3−i3003−3i3−i3-11−2i2iii−i−i02-200−2i2ii3−i30033−3−3003−3i3−i3000-110i−i0000000000
χ4822-2-22-1-22-21-2-112-111-1−2i2i-121-2ii−i−i00i3i3−i3−i300−33−i3i3-11−2i2iii−i−i0-22002i−2ii3−i30033−3−300−33−i3i30001-10−ii0000000000
χ4944444-2-4-44-24-2-24-2-2-2-2002-42-4000044-2-2-2-200000022000000-400000022000000000000000000000000000000
χ5044444-2-4-44-24-2-24-2-2-2-2002-42-40000-4-42222000000220000004000000-2-2000000000000000000000000000000
χ514444-24-4-4-24-244-2-2-2-2-200-42-420000000000000000220000000004-4000000000000000000-2000002000000000
χ524444-24-4-4-24-244-2-2-2-2-200-42-42000000000000000022000000000-44000000000000000000200000-2000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200000044-2-2-2-211-2-21111000000000000000-2-21111000000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-2000000-4-4222211-2-2111100000000000000022-1-1-1-1000000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-222220000004-422-2-21122-1-1-1-10000000000000002-2-1-111000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000-44-2-2221122-1-1-1-1000000000000000-2211-1-1000000000000000000
χ5744-4-4444-4-4-4-44-444-4-4400-4-4440000000000000000-44000000000000000000000000000000000000000000000
χ5844-4-44-24-4-42-4-224-222-2002-4-24000000−2i3−2i32i32i30000002-200000000000002i3−2i3000000000000000000000000000000
χ5944-4-44-24-4-42-4-224-222-2002-4-240000002i32i3−2i3−2i30000002-20000000000000−2i32i3000000000000000000000000000000
χ6044-4-4-244-42-424-4-2-222-200-424-200000000000000002-2000000000000000000000000000000000000−2i32i30000000
χ6144-4-4-244-42-424-4-2-222-200-424-200000000000000002-20000000000000000000000000000000000002i3−2i30000000
χ6244-4-4-24-442-424-4-2-222-24i−4i4-2-424i4i−4i−4i000000000000-22−2i2i−2i−2i2i2i000000000000000000000000000000000000000
χ6344-4-4-24-442-424-4-2-222-2−4i4i4-2-42−4i−4i4i4i000000000000-222i−2i2i2i−2i−2i000000000000000000000000000000000000000
χ6444-4-4-2-2-44222-22-21-1-114i−4i-2-222−2i−2i2i2i0000000023−23−2i32i31-1−2i2iii−i−i00000000000000000−33i3−i3000000000000000000
χ6544-4-4-2-2-44222-22-21-1-114i−4i-2-222−2i−2i2i2i00000000−23232i3−2i31-1−2i2iii−i−i000000000000000003−3−i3i3000000000000000000
χ6644-4-4-2-2-44222-22-21-1-11−4i4i-2-2222i2i−2i−2i0000000023−232i3−2i31-12i−2i−i−iii00000000000000000−33−i3i3000000000000000000
χ6744-4-4-2-2-44222-22-21-1-11−4i4i-2-2222i2i−2i−2i00000000−2323−2i32i31-12i−2i−i−iii000000000000000003−3i3−i3000000000000000000
χ684-44-44400-4-44-44-444-4-4000000000000000000000000000000000000000−2i22i2−2i22i2−2i22i2000000000000000000000000
χ694-44-44400-4-44-44-444-4-40000000000000000000000000000000000000002i2−2i22i2−2i22i2−2i2000000000000000000000000
χ704-44-44-200-4242-2-4-2-222000000i6−i6i6−i60023−2323−230000000000i6−i6i6−i6000000000−2i22i2i2−i2i2−i2000000000000000000000000
χ714-44-44-200-4242-2-4-2-222000000i6−i6i6−i600−2323−23230000000000i6−i6i6−i60000000002i2−2i2−i2i2−i2i2000000000000000000000000
χ724-44-44-200-4242-2-4-2-222000000−i6i6−i6i60023−2323−230000000000−i6i6−i6i60000000002i2−2i2−i2i2−i2i2000000000000000000000000
χ734-44-44-200-4242-2-4-2-222000000−i6i6−i6i600−2323−23230000000000−i6i6−i6i6000000000−2i22i2i2−i2i2−i2000000000000000000000000
χ744-4-44440044-4-4-4-44-44-400000000004i−4i4i−4i−4i4i00000000000000000000000000000000000000000000000000000
χ754-4-44440044-4-4-4-44-44-40000000000−4i4i−4i4i4i−4i00000000000000000000000000000000000000000000000000000
χ764-4-444-2004-2-422-4-22-220000006−6−664i−4i−2i2i2i−2i00000000006−6−6600000000000i6−i6−i6i6000000000000000000000000
χ774-4-444-2004-2-422-4-22-220000006−6−66−4i4i2i−2i−2i2i00000000006−6−6600000000000−i6i6i6−i6000000000000000000000000
χ784-4-444-2004-2-422-4-22-22000000−666−64i−4i−2i2i2i−2i0000000000−666−600000000000−i6i6i6−i6000000000000000000000000
χ794-4-444-2004-2-422-4-22-22000000−666−6−4i4i2i−2i−2i2i0000000000−666−600000000000i6−i6−i6i6000000000000000000000000
χ808888-4-4-8-8-4-4-4-4-4-422220044440000000000000000-2-2000000000000000000000000000000000000000000000
χ8188-8-8-4-48-8444-44-42-2-220044-4-40000000000000000-22000000000000000000000000000000000000000000000
χ828-88-8-48004-8-4-884-4-444000000000000000000000000000000000000000000000000000000000000000000000
χ838-88-8-4-40044-44-4422-2-20000002i6−2i62i6−2i60000000000000000−i6i6−i6i6000000000000000000000000000000000000000
χ848-88-8-4-40044-44-4422-2-2000000−2i62i6−2i62i60000000000000000i6−i6i6−i6000000000000000000000000000000000000000
χ858-8-88-4800-484-8-84-44-44000000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400-4-444442-22-200000026−26−26260000000000000000−666−6000000000000000000000000000000000000000
χ878-8-88-4-400-4-444442-22-2000000−262626−2600000000000000006−6−66000000000000000000000000000000000000000

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