Finite Group Databasebeta

← Group #11876984

Character table — Group #11876984

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446666888888888888888812121212121212121212161616161616181818182424242424242424242424242424363648487272
order12223344666666366688121212124444226666121224242424242424242488881212121266666644444444612121212122424242488121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1
χ6111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1
χ9111111111111111111-1-1111111111-111-1-111-1-1-1-1-1-1-1-111-1-1-1-111111-111-1-111111-11-11111-1-1-1-1-1-1-1-11-11-1
χ10111111111111111111-1-1111111111-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111111-111-1-1-1-1-1-11-1-11-1-111-1-1-1-11111-11-11
χ11111111111111111111-1-111111111-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-1111111-11-1111-1-111-1-1-1-1-1-1-11-11
χ12111111111111111111-1-111111111-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-11-1-111-1-1-1-1-111-1-1-1-1-111-1-111111-11-1
χ13111111111111111111-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-11-111-1-1-1-1-1-1-111-111-1-11111-1-1111-1-11
χ14111111111111111111-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-11111-11-11-1-1-1-1111111-1-1-111-1
χ15111111111111111111-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-11-1-111-1-1-1-11-1-111111-1-111-1-111-111-1
χ16111111111111111111-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-11111111-11-1-1-111-1-11111-1-11-1-11
χ17222222-2-2222222222200-2-2-2-222-2-2000000-2-2000000002-2000022-2-200000022-2-200002-200000000000000
χ18222222-2-2222222222200-2-2-2-222-2-2000000-2-200000000-22000022-2-2000000-2-2220000-2200000000000000
χ19222222-2-2222222222200-2-2-2-2-2-222000000-2-2000000002-20000-2-222000000-2-22200002-200000000000000
χ20222222-2-2222222222200-2-2-2-2-2-222000000-2-200000000-220000-2-22200000022-2-20000-2200000000000000
χ2122222-1222-1-1-122-1-1-1-122-122-10000222222-1-122-1-1-1-1-1-12222000000-1-1-1-1-1-100000022-1-1000000-1-100-1-100
χ2222222-1222-1-1-122-1-1-1-122-122-10000222222-1-122-1-1-1-1-1-1-2-2-2-2000000-1-1-1-1-1-1000000-2-21100000011001100
χ2322222-1222-1-1-122-1-1-1-122-122-10000-2-2-2-2-2-2-1-122-1-1-1-1-1-12222000000111111000000-2-2-1-1000000-1-1001100
χ2422222-1222-1-1-122-1-1-1-122-122-10000-2-2-2-2-2-2-1-122-1-1-1-1-1-1-2-2-2-200000011111100000022110000001100-1-100
χ2522222-1222-1-1-122-1-1-1-1-2-2-122-100002-222-2-2-1-1-2-211111122-2-2000000-11-1-1110000002-2-1-10000001100-1100
χ2622222-1222-1-1-122-1-1-1-1-2-2-122-100002-222-2-2-1-1-2-2111111-2-222000000-11-1-111000000-2211000000-1-1001-100
χ2722222-1222-1-1-122-1-1-1-1-2-2-122-10000-22-2-222-1-1-2-211111122-2-20000001-111-1-1000000-22-1-100000011001-100
χ2822222-1222-1-1-122-1-1-1-1-2-2-122-10000-22-2-222-1-1-2-2111111-2-2220000001-111-1-10000002-211000000-1-100-1100
χ292222-1222-1222-1-1-1-1-1-1222-1-12222222-1-1-1-1-1-1-1-122-1-1-1-1000022-1-1-1-122-1-1-1-10000220000-1-1-1-1-1-100000000
χ302222-1222-1222-1-1-1-1-1-1222-1-122222-2-21111-1-1-1-122-1-1-1-1000022-1-1-1-1-2-211110000-2-200001111-1-100000000
χ312222-1222-1222-1-1-1-1-1-1222-1-12-2-2-2-222-1-1-1-1-1-1-1-122-1-1-1-10000-2-2111122-1-1-1-10000-2-2000011111100000000
χ322222-1222-1222-1-1-1-1-1-1222-1-12-2-2-2-2-2-21111-1-1-1-122-1-1-1-10000-2-21111-2-211110000220000-1-1-1-11100000000
χ332222-1222-1222-1-1-1-1-1-1-2-22-1-1222222-2-1-111-1-111-2-211110000-2-2-1-1-1-12-2-1-11100002-20000-1-1111100000000
χ342222-1222-1222-1-1-1-1-1-1-2-22-1-122222-2211-1-1-1-111-2-211110000-2-2-1-1-1-1-2211-1-10000-22000011-1-11100000000
χ352222-1222-1222-1-1-1-1-1-1-2-22-1-12-2-2-2-22-2-1-111-1-111-2-2111100002211112-2-1-1110000-22000011-1-1-1-100000000
χ362222-1222-1222-1-1-1-1-1-1-2-22-1-12-2-2-2-2-2211-1-1-1-111-2-211110000221111-2211-1-100002-20000-1-111-1-100000000
χ3722-2-2222-222-2-2-2-22-2-222-2-22-222i−2i2i−2i000000-222-22-222-2-200002i−2i2i−2i2i−2i000000000000000000002i−2i00000000
χ3822-2-2222-222-2-2-2-22-2-222-2-22-22−2i2i−2i2i000000-222-22-222-2-20000−2i2i−2i2i−2i2i00000000000000000000−2i2i00000000
χ3922-2-2222-222-2-2-2-22-2-22-22-22-222i−2i2i−2i000000-22-22-22-2-2220000−2i2i2i−2i2i−2i00000000000000000000−2i2i00000000
χ4022-2-2222-222-2-2-2-22-2-22-22-22-22−2i2i−2i2i000000-22-22-22-2-22200002i−2i−2i2i−2i2i000000000000000000002i−2i00000000
χ4122-2-222-2222-2-2-2-22-2-22002-22-22i−2i−2i2i0000002-200000000002i−2i002i−2i−2i2i00000000000000000000002i−2i2-20000
χ4222-2-222-2222-2-2-2-22-2-22002-22-22i−2i−2i2i0000002-20000000000−2i2i002i−2i−2i2i0000000000000000000000−2i2i-220000
χ4322-2-222-2222-2-2-2-22-2-22002-22-2−2i2i2i−2i0000002-200000000002i−2i00−2i2i2i−2i00000000000000000000002i−2i-220000
χ4422-2-222-2222-2-2-2-22-2-22002-22-2−2i2i2i−2i0000002-20000000000−2i2i00−2i2i2i−2i0000000000000000000000−2i2i2-20000
χ4522-2-2-122-2-12-2-211-111-12-2-2-1122i−2i2i−2i00−i3i3−i3i31-1-112-2-1-11100002i−2i−ii−ii00−i3i3−i3i300000000003−33−3−ii00000000
χ4622-2-2-122-2-12-2-211-111-12-2-2-1122i−2i2i−2i00i3−i3i3−i31-1-112-2-1-11100002i−2i−ii−ii00i3−i3i3−i30000000000−33−33−ii00000000
χ4722-2-2-122-2-12-2-211-111-12-2-2-112−2i2i−2i2i00−i3i3−i3i31-1-112-2-1-1110000−2i2ii−ii−i00−i3i3−i3i30000000000−33−33i−i00000000
χ4822-2-2-122-2-12-2-211-111-12-2-2-112−2i2i−2i2i00i3−i3i3−i31-1-112-2-1-1110000−2i2ii−ii−i00i3−i3i3−i300000000003−33−3i−i00000000
χ4922-2-2-122-2-12-2-211-111-1-22-2-1122i−2i2i−2i00−i3i3i3−i31-11-1-2211-1-10000−2i2i−ii−ii00−i3i3i3−i300000000003−3−33i−i00000000
χ5022-2-2-122-2-12-2-211-111-1-22-2-1122i−2i2i−2i00i3−i3−i3i31-11-1-2211-1-10000−2i2i−ii−ii00i3−i3−i3i30000000000−333−3i−i00000000
χ5122-2-2-122-2-12-2-211-111-1-22-2-112−2i2i−2i2i00−i3i3i3−i31-11-1-2211-1-100002i−2ii−ii−i00−i3i3i3−i30000000000−333−3−ii00000000
χ5222-2-2-122-2-12-2-211-111-1-22-2-112−2i2i−2i2i00i3−i3−i3i31-11-1-2211-1-100002i−2ii−ii−i00i3−i3−i3i300000000003−3−33−ii00000000
χ5344444-2-4-44-2-2-244-2-2-2-2002-4-42000000000022000000004-40000000000000000000000-2200000000000000
χ5444444-2-4-44-2-2-244-2-2-2-2002-4-4200000000002200000000-4400000000000000000000002-200000000000000
χ554444-24-4-4-2444-2-2-2-2-2-200-422-444-4-40000002200000000000000-2-222000000000000000000000000000000
χ564444-24-4-4-2444-2-2-2-2-2-200-422-4-4-444000000220000000000000022-2-2000000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2111144-2-2-2-2000044-2-2-2-211-2-2-2-211110000000000-2-21111000000000000000000000000
χ584444-2-244-2-2-2-2-2-2111144-2-2-2-20000-4-4222211-2-2-2-21111000000000022-1-1-1-1000000000000000000000000
χ594444-2-244-2-2-2-2-2-21111-4-4-2-2-2-200004-4-2-222112222-1-1-1-10000000000-2211-1-1000000000000000000000000
χ604444-2-244-2-2-2-2-2-21111-4-4-2-2-2-20000-4422-2-2112222-1-1-1-100000000002-2-1-111000000000000000000000000
χ6144-4-44-24-44-222-4-4-222-24-424-4-200000000002-24-4-22-2-2220000000000000000000000000000000000000000
χ6244-4-44-24-44-222-4-4-222-2-4424-4-200000000002-2-442-222-2-20000000000000000000000000000000000000000
χ6344-4-44-2-444-222-4-4-222-200-2-4420000000000-2200000000004i−4i0000000000000000000000000000−2i2i000000
χ6444-4-44-2-444-222-4-4-222-200-2-4420000000000-220000000000−4i4i00000000000000000000000000002i−2i000000
χ6544-4-4-24-44-24-4-422-222-20042-2-44i−4i−4i4i000000-2200000000000000−2i2i2i−2i000000000000000000000000000000
χ6644-4-4-24-44-24-4-422-222-20042-2-4−4i4i4i−4i000000-22000000000000002i−2i−2i2i000000000000000000000000000000
χ6744-4-4-2-24-4-2-222221-1-114-42-22-2000000−2i32i3−2i32i3-11-22-2211-1-1000000000000i3−i3i3−i3000000000000000000000000
χ6844-4-4-2-24-4-2-222221-1-114-42-22-20000002i3−2i32i3−2i3-11-22-2211-1-1000000000000−i3i3−i3i3000000000000000000000000
χ6944-4-4-2-24-4-2-222221-1-11-442-22-2000000−2i32i32i3−2i3-112-22-2-1-111000000000000i3−i3−i3i3000000000000000000000000
χ7044-4-4-2-24-4-2-222221-1-11-442-22-20000002i3−2i3−2i32i3-112-22-2-1-111000000000000−i3i3i3−i3000000000000000000000000
χ714-44-44400-4-44-44-444-4-40000000000000000000000000000000000000000004-40000000000000000000000
χ724-44-44400-4-44-44-444-4-4000000000000000000000000000000000000000000-440000000000000000000000
χ734-4-444400-4-4-44-444-44-4000000000000000000000000000000000000000000004-400000000000000000000
χ744-4-444400-4-4-44-444-44-400000000000000000000000000000000000000000000-4400000000000000000000
χ758888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000
χ7688-8-8-4-4-88-4-444442-2-2200-44-4400000000002-2000000000000000000000000000000000000000000000000
χ778-88-88-400-84-448-8-4-444000000000000000000000000000000000000000000000000000000000000000000
χ788-88-8-48004-88-8-44-4-444000000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-40044-44-4422-2-2000000000000000000000032−3232−320000000000000000000000000000000000000000
χ808-88-8-4-40044-44-4422-2-20000000000000000000000−3232−32320000000000000000000000000000000000000000
χ818-8-888-400-844-4-88-44-44000000000000000000000000000000000000000000000000000000000000000000
χ828-8-88-48004-8-884-4-44-44000000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-400444-44-42-22-2000000000000000000000032−32−32320000000000000000000000000000000000000000
χ848-8-88-4-400444-44-42-22-20000000000000000000000−323232−320000000000000000000000000000000000000000

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