Finite Group Databasebeta

← Group #11895792

Character table — Group #11895792

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444488888888888888881212121212121212121212121616161616161818242424242424242424242424242436363648487272
order12223344666666366688121212122466121212122424242424242424224444441212121266612121244246688121212122424242448861224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-11-11111111111-1-1-1-1111-1-111-111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-11-11-1-1-1-1111111-1-111-1-1-111-1-11-1-111-1-1-111-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111
χ5111111111111111111111111-1-1-1-1-1-111111111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111-1-111-1-1-1-1-111
χ6111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-1-111111-1-1
χ7111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111-1-111111111-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-11-11-11111-1-1-1-1-1-1-1-111-1-11-1-1-1-1-111-1-1-1-1-11111
χ9111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-111-1-1-11-11-1-1-1-1111-1-1-1-1-11-1111-11-1-1111-1-1-1111-1-11
χ10111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-1-111-111111-1-1-1-111111-1-1-111-1
χ11111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1111-1-1-1-1-11111-1-1-1-11-1-11-11-1
χ12111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-1111-11-11111111-1-1-1-1-1-11-1-1-11-111-1-1-111-111-11-11
χ13111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-111111-1111-1-11-1-11-1-1-1-11-1-1-11-11
χ14111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-111-1-11-11-11111-1-1-1111-1-11-111-11-1-1-1-1-1-111-1111-11-1
χ15111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-111-11-11-1-1-1-1-1-1-1111-1-1-11-1-11-1111111-1-1-111-111-1
χ16111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-111-111111-1-11-1-11
χ17222222-2-2222222222200-2-2-2-2000000-2-200000000000022-2-2-2-22200000022000000-20020000-2000000
χ18222222-2-2222222222200-2-2-2-2000000-2-20000000000002-2-22-2-222000000-2-2000000200-200002000000
χ19222222-2-2222222222200-2-2-2-2000000-2-2000000000000-222-222-2-2000000-2-2000000-200200002000000
χ20222222-2-2222222222200-2-2-2-2000000-2-2000000000000-2-22222-2-200000022000000200-20000-2000000
χ2122222-1222-12-12-1-1-1-1-1222-12-1222222-1-122-1-1-1-1-1-1000002020000-1-1-1-1-1-100220002-100-100-1-1000-1-100
χ2222222-1222-12-12-1-1-1-1-1222-12-1222222-1-122-1-1-1-1-1-100000-20-20000-1-1-1-1-1-100-2-2000-2100100110001100
χ2322222-1222-12-12-1-1-1-1-1222-12-1-2-2-2-2-2-2-1-122-1-1-1-1-1-100000202000011111100-2-20002-100-100-1-10001100
χ2422222-1222-12-12-1-1-1-1-1222-12-1-2-2-2-2-2-2-1-122-1-1-1-1-1-100000-20-200001111110022000-210010011000-1-100
χ2522222-1222-12-12-1-1-1-1-1-2-22-12-12-222-2-2-1-1-2-2111111000002020000-1-1-1111002-2000-2-100-10011000-1100
χ2622222-1222-12-12-1-1-1-1-1-2-22-12-12-222-2-2-1-1-2-211111100000-20-20000-1-1-111100-220002100100-1-10001-100
χ2722222-1222-12-12-1-1-1-1-1-2-22-12-1-22-2-222-1-1-2-2111111000002020000111-1-1-100-22000-2-100-100110001-100
χ2822222-1222-12-12-1-1-1-1-1-2-22-12-1-22-2-222-1-1-2-211111100000-20-20000111-1-1-1002-20002100100-1-1000-1100
χ292222-1222-12-12-12-1-1-1-122-12-1222-1-1-1-1-1-1-1-122-1-1-1-122222020-1-1-1-12-1-12-1-10000-1-1200-1-10-1-1000000000
χ302222-1222-12-12-12-1-1-1-122-12-1222-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2-20-2011112-1-12-1-1000011-20011011000000000
χ312222-1222-12-12-12-1-1-1-122-12-12-2-21111-1-1-1-122-1-1-1-12222-20-201111-211-2110000-1-1-200-1-1011000000000
χ322222-1222-12-12-12-1-1-1-122-12-12-2-21111-1-1-1-122-1-1-1-1-2-2-2-22020-1-1-1-1-211-211000011200110-1-1000000000
χ332222-1222-12-12-12-1-1-1-1-2-2-12-122-2-1-111-1-111-2-2111122-2-2-20-2011112-1-1-2110000-1-1200110-1-1000000000
χ342222-1222-12-12-12-1-1-1-1-2-2-12-122-2-1-111-1-111-2-21111-2-2222020-1-1-1-12-1-1-211000011-200-1-1011000000000
χ352222-1222-12-12-12-1-1-1-1-2-2-12-12-2211-1-1-1-111-2-2111122-2-22020-1-1-1-1-2112-1-10000-1-1-20011011000000000
χ362222-1222-12-12-12-1-1-1-1-2-2-12-12-2211-1-1-1-111-2-21111-2-222-20-201111-2112-1-1000011200-1-10-1-1000000000
χ3722-2-222-2222-2-2-2-22-22-22i−2i-2-2220000002-22i−2i2i−2i2i2i−2i−2i2-22i−2i0000000000000000002-20002i−2i000000000000
χ3822-2-222-2222-2-2-2-22-22-22i−2i-2-2220000002-22i−2i2i−2i2i2i−2i−2i-22−2i2i000000000000000000-22000−2i2i000000000000
χ3922-2-222-2222-2-2-2-22-22-2−2i2i-2-2220000002-2−2i2i−2i2i−2i−2i2i2i2-2−2i2i0000000000000000002-2000−2i2i000000000000
χ4022-2-222-2222-2-2-2-22-22-2−2i2i-2-2220000002-2−2i2i−2i2i−2i−2i2i2i-222i−2i000000000000000000-220002i−2i000000000000
χ4122-2-2-12-22-121-21-2-11-112i−2i1-2-1200−i3i33−3-11−ii2i−2i−i−iii2-22i−2i00003−33−30−i3i303−30000-11000−ii0−i3i3000000000
χ4222-2-2-12-22-121-21-2-11-112i−2i1-2-1200−i3i33−3-11−ii2i−2i−i−iii-22−2i2i0000−33−330−i3i303−300001-1000i−i0i3−i3000000000
χ4322-2-2-12-22-121-21-2-11-112i−2i1-2-1200i3−i3−33-11−ii2i−2i−i−iii2-22i−2i0000−33−330i3−i30−330000-11000−ii0i3−i3000000000
χ4422-2-2-12-22-121-21-2-11-112i−2i1-2-1200i3−i3−33-11−ii2i−2i−i−iii-22−2i2i00003−33−30i3−i30−3300001-1000i−i0−i3i3000000000
χ4522-2-2-12-22-121-21-2-11-11−2i2i1-2-1200−i3i3−33-11i−i−2i2iii−i−i2-2−2i2i0000−33−330−i3i30−330000-11000i−i0−i3i3000000000
χ4622-2-2-12-22-121-21-2-11-11−2i2i1-2-1200−i3i3−33-11i−i−2i2iii−i−i-222i−2i00003−33−30−i3i30−3300001-1000−ii0i3−i3000000000
χ4722-2-2-12-22-121-21-2-11-11−2i2i1-2-1200i3−i33−3-11i−i−2i2iii−i−i2-2−2i2i00003−33−30i3−i303−30000-11000i−i0i3−i3000000000
χ4822-2-2-12-22-121-21-2-11-11−2i2i1-2-1200i3−i33−3-11i−i−2i2iii−i−i-222i−2i0000−33−330i3−i303−300001-1000−ii0−i3i3000000000
χ4944444-2-4-44-24-24-2-2-2-2-200-42-4200000022000000000000040-4000000000000000000200-200000000000
χ5044444-2-4-44-24-24-2-2-2-2-200-42-42000000220000000000000-404000000000000000000-200200000000000
χ514444-24-4-4-24-24-24-2-2-2-2002-42-40000002200000000000040-4022-2-200000000000000000000000000000
χ524444-24-4-4-24-24-24-2-2-2-2002-42-400000022000000000000-4040-2-22200000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-244-2-2-2-211-2-2-2-21111000000000000-211-21100000000000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-2-4-4222211-2-2-2-211110000000000002-1-12-1-100000000000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-24-4-2-222112222-1-1-1-1000000000000-2112-1-100000000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2-4422-2-2112222-1-1-1-10000000000002-1-1-21100000000000000000000000
χ5744-4-4444-444-4-4-4-44-44-40044-4-4000000-440000000000000000000000000000000000000000000000000
χ5844-4-44-24-44-2-42-42-22-22004-2-420000002-2000000000000000000000000000000000000000023−230000000
χ5944-4-44-24-44-2-42-42-22-22004-2-420000002-20000000000000000000000000000000000000000−23230000000
χ6044-4-44-2-444-2-42-42-22-224i−4i-424-2000000-224i−4i−2i2i−2i−2i2i2i00000000000000000000000000000000000000000
χ6144-4-44-2-444-2-42-42-22-22−4i4i-424-2000000-22−4i4i2i−2i2i2i−2i−2i00000000000000000000000000000000000000000
χ6244-4-4-244-4-242-42-4-22-2200-242-40000002-2000000000000000023−23−232300000000000000000000000000000
χ6344-4-4-244-4-242-42-4-22-2200-242-40000002-20000000000000000−232323−2300000000000000000000000000000
χ6444-4-4-2-2-44-2-222221-11-14i−4i22-2-200−2i32i323−231-1−2i2i−2i2iii−i−i0000000000000i3−i30−3300000000000000000000000
χ6544-4-4-2-2-44-2-222221-11-14i−4i22-2-2002i3−2i3−23231-1−2i2i−2i2iii−i−i0000000000000−i3i303−300000000000000000000000
χ6644-4-4-2-2-44-2-222221-11-1−4i4i22-2-200−2i32i3−23231-12i−2i2i−2i−i−iii0000000000000i3−i303−300000000000000000000000
χ6744-4-4-2-2-44-2-222221-11-1−4i4i22-2-2002i3−2i323−231-12i−2i2i−2i−i−iii0000000000000−i3i30−3300000000000000000000000
χ684-44-44400-4-4-4-44444-4-400000000000000000000000000000000000000004-4000000000000000000000
χ694-44-44400-4-4-4-44444-4-40000000000000000000000000000000000000000-44000000000000000000000
χ704-4-444400-4-444-4-44-4-4400000000000000000000000000000000000000000000000000000000022−220000
χ714-4-444400-4-444-4-44-4-44000000000000000000000000000000000000000000000000000000000−22220000
χ728888-4-4-8-8-4-4-4-4-4-42222004444000000-2-20000000000000000000000000000000000000000000000000
χ7388-8-8-4-48-8-4-444442-22-200-4-444000000-220000000000000000000000000000000000000000000000000
χ748-88-88-400-84-848-4-4-444000000000000000000000000000000000000000000000000000000000000000
χ758-88-8-48004-84-8-48-4-444000000000000000000000000000000000000000000000000000000000000000
χ768-88-8-4-4004444-4-422-2-2000000000000000000−3i23i2−3i23i200000000000000000000000000000000000000000
χ778-88-8-4-4004444-4-422-2-20000000000000000003i2−3i23i2−3i200000000000000000000000000000000000000000
χ788-8-888-400-848-4-84-444-4000000000000000000000000000000000000000000000000000000000000000
χ798-8-88-48004-8-484-8-444-4000000000000000000000000000000000000000000000000000000000000000
χ808-8-88-4-40044-4-4442-2-2200000000000000000032−32−323200000000000000000000000000000000000000000
χ818-8-88-4-40044-4-4442-2-22000000000000000000−323232−3200000000000000000000000000000000000000000

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