Finite Group Databasebeta

← Group #11872776

Character table — Group #11872776

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order12223344666666344666121212124444266812121212121224242424242424242224448812121212121266612124466681212121224242424224488122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111-11-1111-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-111-1-1111-111-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1111-1-111-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-1111111111111111111-1-111111111-1-1-1-1111111-11-1-1-111-1-1-1-111-1-1-1-1-1-11-1
χ6111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11
χ7111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-111-111-1-11111111-1-1-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-11-1-11111111111-1-11-1
χ9111111111111111-1-111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111-1-1111-1-1-1-1-111-1-1-1-1-1-111-1-111
χ10111111111111111-1-111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111-1-1-11-1-1-1-11111-1-11111-1-111-1-1
χ11111111111111111-1-111111111111-1-1-11-1-1-1-11111111111-1-111-1-111111111-1-1-1-1-1-1-11-1-11-1-1-1-11111-1-11111-1-1
χ12111111111111111-1-111111111111-1-1-11-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-1-11-1-1-1-1111-1-111-1-111-1-1-1-111
χ13111111111111111-1-11111111-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111-1-11-11111-1-1-1-111-1-111-1-1111-1
χ14111111111111111-1-11111111-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111-1-1-1-1-111111-1-11111-1-111-1-1-11
χ15111111111111111-1-11111111-1-1-1-1-1-1-11-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-11111-1-1-1-1-11
χ16111111111111111-1-11111111-1-1-1-1-1-1-11-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-11111-1-1-1-1-1-111111-1
χ17222222-2-2222222200222-2-2-2-222-2-200000000-2-200000000002-20000-2-222-2-2000000020000000000000-220000
χ18222222-2-2222222200222-2-2-2-222-2-200000000-2-20000000000-2200002222-2-20000000-200000000000002-20000
χ19222222-2-2222222200222-2-2-2-2-2-22200000000-2-200000000002-20000-2-2-2-2220000000200000000000002-20000
χ20222222-2-2222222200222-2-2-2-2-2-22200000000-2-20000000000-22000022-2-2220000000-20000000000000-220000
χ2122222-122-12-122-1-122-1-1-1-12-1222222-1-12-1-122-1-122-1-1-1-1-1-12200000000-1-1-1-12-1-1-1-1020-1-1200-1-1-1-10000000000
χ2222222-122-12-122-1-122-1-1-1-12-122222-211-2-1-122-1-1-2-21111112200000000-1-1-1-1-211-1-10-20-1-1-20011110000000000
χ2322222-122-12-122-1-122-1-1-1-12-12-2-2-2-22-1-12-1-122-1-122-1-1-1-1-1-1-2-20000000011112-1-1-1-10-2011-20011110000000000
χ2422222-122-12-122-1-122-1-1-1-12-12-2-2-2-2-211-2-1-122-1-1-2-2111111-2-2000000001111-211-1-102011200-1-1-1-10000000000
χ2522222-122-12-122-1-1-2-2-1-1-1-12-1222222-1-1-211-2-2-1-1-2-2111111-2-200000000-1-1-1-12-1-11102011-200-1-1110000000000
χ2622222-122-12-122-1-1-2-2-1-1-1-12-122222-211211-2-2-1-122-1-1-1-1-1-1-2-200000000-1-1-1-1-211110-201120011-1-10000000000
χ2722222-122-12-122-1-1-2-2-1-1-1-12-12-2-2-2-22-1-1-211-2-2-1-1-2-2111111220000000011112-1-1110-20-1-120011-1-10000000000
χ2822222-122-12-122-1-1-2-2-1-1-1-12-12-2-2-2-2-211211-2-2-1-122-1-1-1-1-1-122000000001111-21111020-1-1-200-1-1110000000000
χ292222-12222-12-1-12-122-1-1-12-12-10000222222-1-1-1-1-1-122-1-1-1-100222222-1-10000-1-1-1-1-120-1000-1-10000-1-1000000-10
χ302222-12222-12-1-12-122-1-1-12-12-10000222222-1-1-1-1-1-122-1-1-1-100-2-2-2-2-2-2110000-1-1-1-1-1-2010001100001100000010
χ312222-12222-12-1-12-122-1-1-12-12-10000-2-2-2-222-1-1-1-111-2-21111002222-2-2-1-10000111-1-1-20-1000-1-100001100000010
χ322222-12222-12-1-12-122-1-1-12-12-10000-2-2-2-222-1-1-1-111-2-2111100-2-2-2-222110000111-1-1201000110000-1-1000000-10
χ332222-12222-12-1-12-1-2-2-1-1-12-12-10000222-2-2-211-1-111-2-211110022-2-2-2-2-1-10000-1-1-11120-100011000011000000-10
χ342222-12222-12-1-12-1-2-2-1-1-12-12-10000222-2-2-211-1-111-2-2111100-2-22222110000-1-1-111-201000-1-10000-1-100000010
χ352222-12222-12-1-12-1-2-2-1-1-12-12-10000-2-2-22-2-211-1-1-1-122-1-1-1-10022-2-222-1-1000011111-20-1000110000-1-100000010
χ362222-12222-12-1-12-1-2-2-1-1-12-12-10000-2-2-22-2-211-1-1-1-122-1-1-1-100-2-222-2-211000011111201000-1-1000011000000-10
χ3722-2-2222-222-2-2-2-222i−2i-22-2-2-2222i−2i2i−2i00002i−2i2i−2i2-2000000002-2000000002i−2i2i−2i0002i−2i0002-200000000000000000
χ3822-2-2222-222-2-2-2-222i−2i-22-2-2-222−2i2i−2i2i00002i−2i2i−2i2-200000000-2200000000−2i2i−2i2i0002i−2i000-2200000000000000000
χ3922-2-2222-222-2-2-2-22−2i2i-22-2-2-2222i−2i2i−2i0000−2i2i−2i2i2-200000000-22000000002i−2i2i−2i000−2i2i000-2200000000000000000
χ4022-2-2222-222-2-2-2-22−2i2i-22-2-2-222−2i2i−2i2i0000−2i2i−2i2i2-2000000002-200000000−2i2i−2i2i000−2i2i0002-200000000000000000
χ4122-2-222-2222-2-2-2-2200-22-222-2-22i−2i−2i2i00000000-220000000000002i−2i00002i−2i−2i2i000000000002i−2i0000002-2000000
χ4222-2-222-2222-2-2-2-2200-22-222-2-22i−2i−2i2i00000000-22000000000000−2i2i00002i−2i−2i2i00000000000−2i2i000000-22000000
χ4322-2-222-2222-2-2-2-2200-22-222-2-2−2i2i2i−2i00000000-220000000000002i−2i0000−2i2i2i−2i000000000002i−2i000000-22000000
χ4422-2-222-2222-2-2-2-2200-22-222-2-2−2i2i2i−2i00000000-22000000000000−2i2i0000−2i2i2i−2i00000000000−2i2i0000002-2000000
χ4522-2-22-12-2-121-2-21-12i−2i1-111-2-122i−2i2i−2i0−i3i30−ii2i−2i-11003−333−3−32-200000000−ii−ii0−i3i3−ii000-110003−3−i3i30000000000
χ4622-2-22-12-2-121-2-21-12i−2i1-111-2-122i−2i2i−2i0i3−i30−ii2i−2i-1100−33−3−3332-200000000−ii−ii0i3−i3−ii000-11000−33i3−i30000000000
χ4722-2-22-12-2-121-2-21-12i−2i1-111-2-12−2i2i−2i2i0−i3i30−ii2i−2i-11003−333−3−3-2200000000i−ii−i0−i3i3−ii0001-1000−33i3−i30000000000
χ4822-2-22-12-2-121-2-21-12i−2i1-111-2-12−2i2i−2i2i0i3−i30−ii2i−2i-1100−33−3−333-2200000000i−ii−i0i3−i3−ii0001-10003−3−i3i30000000000
χ4922-2-22-12-2-121-2-21-1−2i2i1-111-2-122i−2i2i−2i0−i3i30i−i−2i2i-1100−33−3−333-2200000000−ii−ii0−i3i3i−i0001-10003−3i3−i30000000000
χ5022-2-22-12-2-121-2-21-1−2i2i1-111-2-122i−2i2i−2i0i3−i30i−i−2i2i-11003−333−3−3-2200000000−ii−ii0i3−i3i−i0001-1000−33−i3i30000000000
χ5122-2-22-12-2-121-2-21-1−2i2i1-111-2-12−2i2i−2i2i0−i3i30i−i−2i2i-1100−33−3−3332-200000000i−ii−i0−i3i3i−i000-11000−33−i3i30000000000
χ5222-2-22-12-2-121-2-21-1−2i2i1-111-2-12−2i2i−2i2i0i3−i30i−i−2i2i-11003−333−3−32-200000000i−ii−i0i3−i3i−i000-110003−3i3−i30000000000
χ5344444-2-4-4-24-244-2-200-2-2-22-42-444-4-40000000022000000000000000000-2-222000000000000000000000000000
χ5444444-2-4-4-24-244-2-200-2-2-22-42-4-4-444000000002200000000000000000022-2-2000000000000000000000000000
χ554444-24-4-44-24-2-24-200-2-2-2-42-420000000000002200000000004-400002200000000000-20000000000000000000
χ564444-24-4-44-24-2-24-200-2-2-2-42-42000000000000220000000000-440000-2-20000000000020000000000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-200004-2-24-2-2-2-211-2-2-2-2111100000000000000-211110000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-20000-422-4-2-2-2-2112222-1-1-1-1000000000000002-1-1110000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200004-2-2-42222112222-1-1-1-100000000000000-211-1-10000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000-4224222211-2-2-2-21111000000000000002-1-1-1-10000000000000000000000
χ6144-4-44-2-44-242-4-42-2002-22-242-44i−4i−4i4i000000002-2000000000000000000−2i2i2i−2i000000000000000000000000000
χ6244-4-44-2-44-242-4-42-2002-22-242-4−4i4i4i−4i000000002-20000000000000000002i−2i−2i2i000000000000000000000000000
χ6344-4-4-244-44-2-422-4-24i−4i2-22-424-2000000004i−4i−2i2i-220000000000000000000000000−2i2i0000000000000000000000
χ6444-4-4-244-44-2-422-4-2−4i4i2-22-424-200000000−4i4i2i−2i-2200000000000000000000000002i−2i0000000000000000000000
χ6544-4-4-24-444-2-422-4-2002-224-2-420000000000002-20000000000004i−4i0000000000000000000−2i2i00000000000000
χ6644-4-4-24-444-2-422-4-2002-224-2-420000000000002-2000000000000−4i4i00000000000000000002i−2i00000000000000
χ6744-4-4-2-24-4-2-2222214i−4i-11-122-2-200000−2i32i30−2i2i−2i2i1-10023−23−3−333000000000000000i3−i3i−i0000000000000000000000
χ6844-4-4-2-24-4-2-2222214i−4i-11-122-2-2000002i3−2i30−2i2i−2i2i1-100−232333−3−3000000000000000−i3i3i−i0000000000000000000000
χ6944-4-4-2-24-4-2-222221−4i4i-11-122-2-200000−2i32i302i−2i2i−2i1-100−232333−3−3000000000000000i3−i3−ii0000000000000000000000
χ7044-4-4-2-24-4-2-222221−4i4i-11-122-2-2000002i3−2i302i−2i2i−2i1-10023−23−3−333000000000000000−i3i3−ii0000000000000000000000
χ714-44-44400-4-44-44-4400-4-4400000000000000000000000000000000000000000000000000000000000000022−2200
χ724-44-44400-4-44-44-4400-4-44000000000000000000000000000000000000000000000000000000000000000−222200
χ734-4-444400-4-4-44-444004-4-40000000000000000000000000000000022−220000000000000000000000022−2200000000
χ744-4-444400-4-4-44-444004-4-400000000000000000000000000000000−222200000000000000000000000−222200000000
χ754-4-44-2400-42-4-224-200-2220000000000000000006−6006−66−600000022−2223−23000000000000000000000−2200000000
χ764-4-44-2400-42-4-224-200-2220000000000000000006−6006−66−6000000−2222−23230000000000000000000002−200000000
χ774-4-44-2400-42-4-224-200-222000000000000000000−6600−66−6600000022−22−2323000000000000000000000−2200000000
χ784-4-44-2400-42-4-224-200-222000000000000000000−6600−66−66000000−222223−230000000000000000000002−200000000
χ798888-4-4-8-8-4-4-4-4-4-42002224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-8-4-4-88-4-44444200-22-2-4-444000000000000-220000000000000000000000000000000000000000000000000
χ818-88-88-4004-8-4-884-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4800-8484-4-8-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ838-88-8-4-40044-44-44200-2-22000000000000000000000032−32−323200000000000000000000000000000000000000000
χ848-88-8-4-40044-44-44200-2-220000000000000000000000−323232−3200000000000000000000000000000000000000000
χ858-8-888-4004-848-8-4-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400444-44-42002-2-200000000000000000026−2600−66−6600000000000000000000000000000000000000000
χ878-8-88-4-400444-44-42002-2-2000000000000000000−2626006−66−600000000000000000000000000000000000000000

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