Finite Group Databasebeta

← Group #11868690

Character table — Group #11868690

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444666666888888888888888888121212121212121212121216161616161818242424242424242424242424242424363636487272
order122233446666663446661212121222444448121212121212121224242424242424242244466121212121212121212444466881212121212242424242241248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-111111111111-111-1-111-1-111-1-1-1-1111-1-1-1-1111-1-1-1
χ31111111111111111111111111111-1-1111111111111111111-1-1-1111111-1-111111-1-11-1-1-11-111-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-1-11-1-1-11-1-1-111-1-111-1-1-1111
χ5111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-11111111-1-1-1111-11-1-11-1-1-1-111-1-1-11-1-1
χ6111111111111111111111111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-111-1-1-1-11-1111-1111-1-111-1-1-1-1-1-111
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
χ8111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-111111111-1-1
χ9111111111111111-1-111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1111111-1-1-1-1111-1-1-1-1-1-1-1-1111-1
χ10111111111111111-1-11111111111111-11-1-1-1-1-1-11111111111-1-11-1-1111111-1-1-1-1-111-1-1-1-111-1-11-1-11111-1-11-1-11
χ11111111111111111-1-111111111111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-11111-1-11-1-111-1-11-111-1111-1-1-1-1-11111-1-1-11
χ12111111111111111-1-111111111111-1-1-11-1-1-1-1-1-1111111111111-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-111-1
χ13111111111111111-1-11111111-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111-1-111-1-1-11-1-11-1-1-111111-1-111-11-11
χ14111111111111111-1-11111111-1-1-1-111-11-1-1-1-1-1-11111111111-1-1111-1-1-1-111-1-1-1-1-1-1-11-1-1-1-1111111-1-11111-1-11-1
χ15111111111111111-1-11111111-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-11-1-11111-1-11111-1-1-1111111-1-11-11-1
χ16111111111111111-1-11111111-1-1-1-1-1-1-11-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1111111-1-111-111-1-1-1-1-1-111-11
χ17222222-2-2222222200222-2-2-2-222-2-22200000000-2-20000000000-20022-2-222000002200000000-200000000-2000
χ18222222-2-2222222200222-2-2-2-222-2-2-2-200000000-2-2000000000020022-2-2-2-200000-2-2000000002000000002000
χ19222222-2-2222222200222-2-2-2-2-2-2222200000000-2-20000000000-200-2-2222200000-2-200000000-2000000002000
χ20222222-2-2222222200222-2-2-2-2-2-222-2-200000000-2-20000000000200-2-222-2-2000002200000000200000000-2000
χ2122222-122-122-1-12-122-1-1-1-12-1200002222-1-12222-1-122-1-1-1-1-1-1222000000-1-1-1-1-1-1-10002-1-10200-10000-1-1000-100
χ2222222-122-122-1-12-122-1-1-1-12-12000022-2-2-1-122-2-2-1-1-2-2111111222000000-1-11-1-111000-2-1-10-200-1000011000100
χ2322222-122-122-1-12-122-1-1-1-12-120000-2-222-1-12222-1-122-1-1-1-1-1-1-2-2-200000011-1-1-1-1-1000-2110-2001000011000100
χ2422222-122-122-1-12-122-1-1-1-12-120000-2-2-2-2-1-122-2-2-1-1-2-2111111-2-2-2000000111-1-111000211020010000-1-1000-100
χ2522222-122-122-1-12-1-2-2-1-1-1-12-120000222-211-2-222-1-1-2-2111111-2-22000000-1-1-111-1-10002110-200-1000011000-100
χ2622222-122-122-1-12-1-2-2-1-1-1-12-12000022-2211-2-2-2-2-1-122-1-1-1-1-1-1-2-22000000-1-111111000-2110200-10000-1-1000100
χ2722222-122-122-1-12-1-2-2-1-1-1-12-120000-2-22-211-2-222-1-1-2-211111122-200000011-111-1-1000-2-1-1020010000-1-1000100
χ2822222-122-122-1-12-1-2-2-1-1-1-12-120000-2-2-2211-2-2-2-2-1-122-1-1-1-1-1-122-200000011111110002-1-10-2001000011000-100
χ292222-12222-1-122-1-122-1-1-12-12-12222002222-1-1-1-1-1-1-1-122-1-1-1-100022-1-1-1-1002-1-1-1-100200020-1-10-1-1-1-100000000
χ302222-12222-1-122-1-122-1-1-12-12-1222200-2-222-1-111-1-111-2-2111100022-1-1-1-100-2-1-11100-2000-20110-1-11100000000
χ312222-12222-1-122-1-122-1-1-12-12-1-2-2-2-2002222-1-1-1-1-1-1-1-122-1-1-1-1000-2-21111002-1-1-1-100-2000-20110111100000000
χ322222-12222-1-122-1-122-1-1-12-12-1-2-2-2-200-2-222-1-111-1-111-2-21111000-2-2111100-2-1-11100200020-1-1011-1-100000000
χ332222-12222-1-122-1-1-2-2-1-1-12-12-12222002-2-2-211-1-1-1-111-2-21111000-2-2-1-1-1-100211-1-1002000-20-1-10111100000000
χ342222-12222-1-122-1-1-2-2-1-1-12-12-1222200-22-2-21111-1-1-1-122-1-1-1-1000-2-2-1-1-1-100-2111100-20002011011-1-100000000
χ352222-12222-1-122-1-1-2-2-1-1-12-12-1-2-2-2-2002-2-2-211-1-1-1-111-2-2111100022111100211-1-100-200020110-1-1-1-100000000
χ362222-12222-1-122-1-1-2-2-1-1-12-12-1-2-2-2-200-22-2-21111-1-1-1-122-1-1-1-100022111100-21111002000-20-1-10-1-11100000000
χ3722-2-2222-222-2-2-2-2200-22-222-2-22-22-200000000002-2000000002-20002-22-2000000000002-2000000000002-20000
χ3822-2-2222-222-2-2-2-2200-22-222-2-22-22-200000000002-200000000-220002-22-200000000000-2200000000000-220000
χ3922-2-2222-222-2-2-2-2200-22-222-2-2-22-2200000000002-2000000002-2000-22-22000000000002-200000000000-220000
χ4022-2-2222-222-2-2-2-2200-22-222-2-2-22-2200000000002-200000000-22000-22-2200000000000-22000000000002-20000
χ4122-2-222-2222-2-2-2-222i−2i-22-2-2-2222-2-2200002i−2i2i−2i00-22000000000002i−2i2-2-220002i−2i00000000000002i−2i0000000000
χ4222-2-222-2222-2-2-2-222i−2i-22-2-2-222-222-200002i−2i2i−2i00-2200000000000−2i2i-222-20002i−2i0000000000000−2i2i0000000000
χ4322-2-222-2222-2-2-2-22−2i2i-22-2-2-2222-2-220000−2i2i−2i2i00-2200000000000−2i2i2-2-22000−2i2i0000000000000−2i2i0000000000
χ4422-2-222-2222-2-2-2-22−2i2i-22-2-2-222-222-20000−2i2i−2i2i00-22000000000002i−2i-222-2000−2i2i00000000000002i−2i0000000000
χ4522-2-2-12-222-11-2-21-12i−2i1-11-212-12-2-2200002i−2i−ii3−31-1−i3i300−i3−i3i3i30002i−2i-111-1000−ii3−3000000003−30−ii−i3i300000000
χ4622-2-2-12-222-11-2-21-12i−2i1-11-212-12-2-2200002i−2i−ii−331-1i3−i300i3i3−i3−i30002i−2i-111-1000−ii−3300000000−330−iii3−i300000000
χ4722-2-2-12-222-11-2-21-12i−2i1-11-212-1-222-200002i−2i−ii3−31-1−i3i300−i3−i3i3i3000−2i2i1-1-11000−ii3−300000000−330i−ii3−i300000000
χ4822-2-2-12-222-11-2-21-12i−2i1-11-212-1-222-200002i−2i−ii−331-1i3−i300i3i3−i3−i3000−2i2i1-1-11000−ii−33000000003−30i−i−i3i300000000
χ4922-2-2-12-222-11-2-21-1−2i2i1-11-212-12-2-220000−2i2ii−i3−31-1i3−i300i3i3−i3−i3000−2i2i-111-1000i−i3−3000000003−30i−ii3−i300000000
χ5022-2-2-12-222-11-2-21-1−2i2i1-11-212-12-2-220000−2i2ii−i−331-1−i3i300−i3−i3i3i3000−2i2i-111-1000i−i−3300000000−330i−i−i3i300000000
χ5122-2-2-12-222-11-2-21-1−2i2i1-11-212-1-222-20000−2i2ii−i3−31-1i3−i300i3i3−i3−i30002i−2i1-1-11000i−i3−300000000−330−ii−i3i300000000
χ5222-2-2-12-222-11-2-21-1−2i2i1-11-212-1-222-20000−2i2ii−i−331-1−i3i300−i3−i3i3i30002i−2i1-1-11000i−i−33000000003−30−iii3−i300000000
χ5344444-2-4-4-244-2-24-200-2-2-22-42-400004400000000220000000000-4000000-2-20000000000000002000000000000
χ5444444-2-4-4-244-2-24-200-2-2-22-42-40000-4-400000000220000000000400000022000000000000000-2000000000000
χ554444-24-4-44-2-244-2-200-2-2-2-42-4244-4-40000000000220000000000000-2-222000000000000000000000000000000
χ564444-24-4-44-2-244-2-200-2-2-2-42-42-4-444000000000022000000000000022-2-2000000000000000000000000000000
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
χ6144-4-44-24-4-24-422-4-2002-22-242-400000000000000-22000000004-4000000000000000000-2200000000000000000
χ6244-4-44-24-4-24-422-4-2002-22-242-400000000000000-2200000000-440000000000000000002-200000000000000000
χ6344-4-44-2-44-24-422-4-24i−4i2-222-4-2400000000−2i2i4i−4i002-200000000000000000000−2i2i0000000000000000000000000
χ6444-4-44-2-44-24-422-4-2−4i4i2-222-4-24000000002i−2i−4i4i002-2000000000000000000002i−2i0000000000000000000000000
χ6544-4-4-244-44-22-4-42-2002-224-2-424-44-40000000000-220000000000000-22-22000000000000000000000000000000
χ6644-4-4-244-44-22-4-42-2002-224-2-42-44-440000000000-2200000000000002-22-2000000000000000000000000000000
χ6744-4-4-2-2-44-2-2222214i−4i-11-122-2-200000000−2i2i−2i2i23−23-11−2i32i300i3i3−i3−i3000000000000i−i−3300000000000000000000000
χ6844-4-4-2-2-44-2-2222214i−4i-11-122-2-200000000−2i2i−2i2i−2323-112i3−2i300−i3−i3i3i3000000000000i−i3−300000000000000000000000
χ6944-4-4-2-2-44-2-222221−4i4i-11-122-2-2000000002i−2i2i−2i23−23-112i3−2i300−i3−i3i3i3000000000000−ii−3300000000000000000000000
χ7044-4-4-2-2-44-2-222221−4i4i-11-122-2-2000000002i−2i2i−2i−2323-11−2i32i300i3i3−i3−i3000000000000−ii3−300000000000000000000000
χ714-44-44400-4-44-44-44004-4-4000000004i−4i0000000000000000000000000004i−4i0000000000000000000000000000
χ724-44-44400-4-44-44-44004-4-400000000−4i4i000000000000000000000000000−4i4i0000000000000000000000000000
χ734-44-44-2002-442-2-4-200-222000000004i−4i000000000000i6−i6i6−i6i6−i6000000000−2i2i000000000000000000006−6000000
χ744-44-44-2002-442-2-4-200-222000000004i−4i000000000000−i6i6−i6i6−i6i6000000000−2i2i00000000000000000000−66000000
χ754-44-44-2002-442-2-4-200-22200000000−4i4i000000000000i6−i6i6−i6i6−i60000000002i−2i00000000000000000000−66000000
χ764-44-44-2002-442-2-4-200-22200000000−4i4i000000000000−i6i6−i6i6−i6i60000000002i−2i000000000000000000006−6000000
χ774-4-444400-4-4-44-44400-4-44000000000000000000000000000000000000000000004-4000000000000000000000
χ784-4-444400-4-4-44-44400-4-4400000000000000000000000000000000000000000000-44000000000000000000000
χ798888-4-4-8-8-4-4-4-4-4-4200222444400000000000000-2-200000000000000000000000000000000000000000000000
χ8088-8-8-4-48-8-4-44444200-22-2-4-444000000000000002-200000000000000000000000000000000000000000000000
χ818-88-8-4800-84-4-884-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-40044-44-442002-2-200000000000000000000002i6−2i6−i6i6−i6i6000000000000000000000000000000000000000
χ838-88-8-4-40044-44-442002-2-20000000000000000000000−2i62i6i6−i6i6−i6000000000000000000000000000000000000000
χ848-8-888-4004-8-8-448-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-4800-8448-8-4-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400444-44-4200-2-2200000000000000000000000032−32−3232000000000000000000000000000000000000000
χ878-8-88-4-400444-44-4200-2-22000000000000000000000000−323232−32000000000000000000000000000000000000000

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