Finite Group Databasebeta

← Group #11872770

Character table — Group #11872770

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order1222334466666634466612121212444448121212121212121224242424242424242222448812121212121212121212122466666681224242424244488122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1111111-1-1-111111-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1111111-111-1-1-1-11111-1-1-11-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-111-1-1-11-1-111-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-1111111111111111111-1-1111111-1-1-1-11111111-1111-1-1-1-1-11-1-111-1-1-1-1-1-11-1
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
χ7111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-111-1-11-111-1-1111111-1-1-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-111-1-1-1-1111-111111111-1-11-1
χ9111111111111111-1-1111111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-11-1-1111-111-1-111-1-1-1-111-1-11111-1-1
χ10111111111111111-1-1111111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-11111-1-1-1-111-11-1-1-1-111-1-1-1-111
χ11111111111111111-1-111111111111-11-1-1-1-1-1-11111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-11-111-1-1-1-111-1-111
χ12111111111111111-1-111111111111-11-1-1-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1
χ13111111111111111-1-11111111-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-1-111-1-11111-1-11-1111111-1-1-1-1-11
χ14111111111111111-1-11111111-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111-1-111-11-1-111-1-11111-1-1-1-111111-1
χ15111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1111-1
χ16111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-1111111111111-1-11111-1-1-1-111-1-1-1-1-11-1-1-11111-11-1-111-1-111-1-1-11
χ17222222-2-2222222200222-2-2-2-222-2-200000000-2-20000000000002-20022-2-22200000000000000-20000-22000000
χ18222222-2-2222222200222-2-2-2-222-2-200000000-2-2000000000000-220022-2-2-2-200000000000000200002-2000000
χ19222222-2-2222222200222-2-2-2-2-2-22200000000-2-20000000000002-200-2-2222200000000000000-200002-2000000
χ20222222-2-2222222200222-2-2-2-2-2-22200000000-2-2000000000000-2200-2-222-2-20000000000000020000-22000000
χ2122222-1222-12-1-12-122-1-1-12-1-12222222-1-1-1-122-1-1-1-122-1-1-1-122000000-1-1-1-1002-1-1-1-12000-1-1-1-120-1-10000000000
χ2222222-1222-12-1-12-122-1-1-12-1-122222-2-2-1-11122-1-111-2-2111122000000-1-1-1-100-2-1-111-2000-1-111-20110000000000
χ2322222-1222-12-1-12-122-1-1-12-1-12-2-2-2-222-1-1-1-122-1-1-1-122-1-1-1-1-2-20000001111002-1-1-1-1-20001111-20110000000000
χ2422222-1222-12-1-12-122-1-1-12-1-12-2-2-2-2-2-2-1-11122-1-111-2-21111-2-2000000111100-2-1-111200011-1-120-1-10000000000
χ2522222-1222-12-1-12-1-2-2-1-1-12-1-1222222-211-1-1-2-2-1-111-2-21111-2-2000000-1-1-1-100211-1-1200011-1-1-20110000000000
χ2622222-1222-12-1-12-1-2-2-1-1-12-1-122222-221111-2-2-1-1-1-122-1-1-1-1-2-2000000-1-1-1-100-21111-2000111120-1-10000000000
χ2722222-1222-12-1-12-1-2-2-1-1-12-1-12-2-2-2-22-211-1-1-2-2-1-111-2-2111122000000111100211-1-1-2000-1-11120-1-10000000000
χ2822222-1222-12-1-12-1-2-2-1-1-12-1-12-2-2-2-2-221111-2-2-1-1-1-122-1-1-1-122000000111100-211112000-1-1-1-1-20110000000000
χ292222-1222-12-122-1-122-1-1-1-122-10000222222-1-1-1-122-1-1-1-1-1-1002222220000-1-1-1-1-1-1-102-1-100000-100-1-1000000-10
χ302222-1222-12-122-1-122-1-1-1-122-10000222222-1-1-1-122-1-1-1-1-1-100-2-2-2-2-2-2000011-1-1-1-1-10-211000001001100000010
χ312222-1222-12-122-1-122-1-1-1-122-10000-2-222-2-2-1-1-1-1-2-2111111002222-2-20000-1-11-1-1110-2-1-100000-1001100000010
χ322222-1222-12-122-1-122-1-1-1-122-10000-2-222-2-2-1-1-1-1-2-211111100-2-2-2-2220000111-1-111021100000100-1-1000000-10
χ332222-1222-12-122-1-1-2-2-1-1-1-122-100002-2-2-22211-1-1-2-21111110022-2-222000011-111-1-10-2-1-100000100-1-100000010
χ342222-1222-12-122-1-1-2-2-1-1-1-122-100002-2-2-22211-1-1-2-211111100-2-222-2-20000-1-1-111-1-1021100000-10011000000-10
χ352222-1222-12-122-1-1-2-2-1-1-1-122-10000-22-2-2-2-211-1-122-1-1-1-1-1-10022-2-2-2-20000111111102-1-10000010011000000-10
χ362222-1222-12-122-1-1-2-2-1-1-1-122-10000-22-2-2-2-211-1-122-1-1-1-1-1-100-2-222220000-1-1111110-21100000-100-1-100000010
χ3722-2-2222-222-2-2-2-222i−2i2-2-2-22-222i−2i2i−2i002i−2i002i−2i-22000000002-20000002i−2i2i−2i0002i−2i0000002-20000000000000000
χ3822-2-2222-222-2-2-2-222i−2i2-2-2-22-22−2i2i−2i2i002i−2i002i−2i-2200000000-22000000−2i2i−2i2i0002i−2i000000-220000000000000000
χ3922-2-2222-222-2-2-2-22−2i2i2-2-2-22-222i−2i2i−2i00−2i2i00−2i2i-2200000000-220000002i−2i2i−2i000−2i2i000000-220000000000000000
χ4022-2-2222-222-2-2-2-22−2i2i2-2-2-22-22−2i2i−2i2i00−2i2i00−2i2i-22000000002-2000000−2i2i−2i2i000−2i2i0000002-20000000000000000
χ4122-2-222-2222-2-2-2-22002-2-22-22-22i−2i−2i2i000000002-200000000002-200002i−2i−2i2i0000000002-20000000000002i−2i0000
χ4222-2-222-2222-2-2-2-22002-2-22-22-22i−2i−2i2i000000002-20000000000-2200002i−2i−2i2i000000000-22000000000000−2i2i0000
χ4322-2-222-2222-2-2-2-22002-2-22-22-2−2i2i2i−2i000000002-200000000002-20000−2i2i2i−2i0000000002-2000000000000−2i2i0000
χ4422-2-222-2222-2-2-2-22002-2-22-22-2−2i2i2i−2i000000002-20000000000-220000−2i2i2i−2i000000000-220000000000002i−2i0000
χ4522-2-22-12-22-1-211-2-12i−2i-111-2-1122i−2i2i−2i00−ii3−32i−2i1-1−i3i300−i3−i3i3i32-2000000−ii−ii000−ii3−30000-11−i3i3003−30000000000
χ4622-2-22-12-22-1-211-2-12i−2i-111-2-1122i−2i2i−2i00−ii−332i−2i1-1i3−i300i3i3−i3−i32-2000000−ii−ii000−ii−330000-11i3−i300−330000000000
χ4722-2-22-12-22-1-211-2-12i−2i-111-2-112−2i2i−2i2i00−ii3−32i−2i1-1−i3i300−i3−i3i3i3-22000000i−ii−i000−ii3−300001-1i3−i300−330000000000
χ4822-2-22-12-22-1-211-2-12i−2i-111-2-112−2i2i−2i2i00−ii−332i−2i1-1i3−i300i3i3−i3−i3-22000000i−ii−i000−ii−3300001-1−i3i3003−30000000000
χ4922-2-22-12-22-1-211-2-1−2i2i-111-2-1122i−2i2i−2i00i−i3−3−2i2i1-1i3−i300i3i3−i3−i3-22000000−ii−ii000i−i3−300001-1−i3i300−330000000000
χ5022-2-22-12-22-1-211-2-1−2i2i-111-2-1122i−2i2i−2i00i−i−33−2i2i1-1−i3i300−i3−i3i3i3-22000000−ii−ii000i−i−3300001-1i3−i3003−30000000000
χ5122-2-22-12-22-1-211-2-1−2i2i-111-2-112−2i2i−2i2i00i−i3−3−2i2i1-1i3−i300i3i3−i3−i32-2000000i−ii−i000i−i3−30000-11i3−i3003−30000000000
χ5222-2-22-12-22-1-211-2-1−2i2i-111-2-112−2i2i−2i2i00i−i−33−2i2i1-1−i3i300−i3−i3i3i32-2000000i−ii−i000i−i−330000-11−i3i300−330000000000
χ5344444-2-4-44-24-2-24-200-2-2-2-422-444-4-400000000220000000000000000-2-22200000000000000000000000000000
χ5444444-2-4-44-24-2-24-200-2-2-2-422-4-4-4440000000022000000000000000022-2-200000000000000000000000000000
χ554444-24-4-4-24-244-2-200-2-2-22-4-42000000000000220000000000004-4000000-2-2000000000000002000000000000
χ564444-24-4-4-24-244-2-200-2-2-22-4-4200000000000022000000000000-440000002200000000000000-2000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-2000044-2-2-2-2-2-211-2-2-2-2111100000000000000-211110000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-20000-4-4-2-222-2-2112222-1-1-1-100000000000000211-1-10000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200004-422-2-222112222-1-1-1-100000000000000-2-1-1110000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000-4422222211-2-2-2-21111000000000000002-1-1-1-10000000000000000000000
χ6144-4-44-2-444-2-422-4-200-22242-2-44i−4i−4i4i00000000-220000000000000000−2i2i2i−2i00000000000000000000000000000
χ6244-4-44-2-444-2-422-4-200-22242-2-4−4i4i4i−4i00000000-2200000000000000002i−2i−2i2i00000000000000000000000000000
χ6344-4-4-244-4-242-4-42-24i−4i-22224-4-20000004i−4i00−2i2i2-200000000000000000000000−2i2i000000000000000000000000
χ6444-4-4-244-4-242-4-42-2−4i4i-22224-4-2000000−4i4i002i−2i2-2000000000000000000000002i−2i000000000000000000000000
χ6544-4-4-24-44-242-4-42-200-222-2-442000000000000-2200000000004-400000000000000000-22000000000000000000
χ6644-4-4-24-44-242-4-42-200-222-2-442000000000000-220000000000-44000000000000000002-2000000000000000000
χ6744-4-4-2-24-4-2-2222214i−4i1-1-12-22-2000000−2i2i23−23−2i2i-11−2i32i300i3i3−i3−i3000000000000000i−i−330000000000000000000000
χ6844-4-4-2-24-4-2-2222214i−4i1-1-12-22-2000000−2i2i−2323−2i2i-112i3−2i300−i3−i3i3i3000000000000000i−i3−30000000000000000000000
χ6944-4-4-2-24-4-2-222221−4i4i1-1-12-22-20000002i−2i23−232i−2i-112i3−2i300−i3−i3i3i3000000000000000−ii−330000000000000000000000
χ7044-4-4-2-24-4-2-222221−4i4i1-1-12-22-20000002i−2i−23232i−2i-11−2i32i300i3i3−i3−i3000000000000000−ii3−30000000000000000000000
χ714-44-44400-4-4-44-44400-44-400000000000000000000000000000000000000000000000000000000000000022−2200
χ724-44-44400-4-4-44-44400-44-4000000000000000000000000000000000000000000000000000000000000000−222200
χ734-4-444400-4-44-44-4400-4-440000000000000000000000000000000022−220000000000000000000000022−2200000000
χ744-4-444400-4-44-44-4400-4-4400000000000000000000000000000000−222200000000000000000000000−222200000000
χ754-4-44-24002-4-2-442-20022-2000000000000000000006−66−66−600000022−22000023−2300000000000000000−2200000000
χ764-4-44-24002-4-2-442-20022-2000000000000000000006−66−66−6000000−22220000−2323000000000000000002−200000000
χ774-4-44-24002-4-2-442-20022-200000000000000000000−66−66−6600000022−220000−232300000000000000000−2200000000
χ784-4-44-24002-4-2-442-20022-200000000000000000000−66−66−66000000−2222000023−23000000000000000002−200000000
χ798888-4-4-8-8-4-4-4-4-4-42002224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-8-4-4-88-4-444442002-2-2-44-440000000000002-20000000000000000000000000000000000000000000000000
χ818-88-88-400-84-8-448-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-48004-848-8-4-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ838-88-8-4-400444-44-4200-22-20000000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ848-88-8-4-400444-44-4200-22-200000000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000
χ858-8-888-400-8484-4-8-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-40044-44-44200-2-220000000000000000000026−26−66−6600000000000000000000000000000000000000000
χ878-8-88-4-40044-44-44200-2-2200000000000000000000−26266−66−600000000000000000000000000000000000000000

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