Finite Group Databasebeta

← Group #11872772

Character table — Group #11872772

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order1222334466666634466612121212444448121212121212121224242424242424242224448812121212121212121212122266666812122424242422448864
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-111111-1-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-1111111-111-1-1-1-1111-1-1-111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-111-1-1-11-111-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-1111111111111111111-1-111111111-1-1-1-111111-111-1-1-1-1-111-1-111-1-1-1-1-1-11-1
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
χ7111111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-111-1-11-11-1-11111111-1-1-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-111-1-1-1111-1-111111111-1-11-1
χ9111111111111111-1-1111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-111111-1-111-1-1-1-1-1-1-1-1-111-1-111
χ10111111111111111-1-1111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1111-1-1-1-111-111-1-11111-1-111-1-1
χ11111111111111111-1-111111111111-11-1-1-1-1-1-11111111111-1-111-1-111111111-1-1-1-1-1-1-11-1-1-1-11-1-11111-1-11111-1-1
χ12111111111111111-1-111111111111-11-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-111111-1-111-1-1-1-111
χ13111111111111111-1-11111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11-1-111-11111-1-11-1-111-1-111-1-1111-1
χ14111111111111111-1-11111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11-1-111-1-1-111-1-11111111-1-111-1-1-11
χ15111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-11111-1-1-1-1-11
χ16111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-111-1-1-1-1-1-111111-1
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
χ2122222-122-122-1-12-122-1-1-1-12-1222222222-1-1-1-1-1-122-1-1-1-1-1-12200000000-1-1-1-12-1-1-1-1200-1-1-1-1200-1-10000000000
χ2222222-122-122-1-12-122-1-1-1-12-122222-2-222-1-111-1-1-2-21111112200000000-1-1-1-1-2-1-111-200-1-111-200110000000000
χ2322222-122-122-1-12-122-1-1-1-12-12-2-2-2-22222-1-1-1-1-1-122-1-1-1-1-1-1-2-20000000011112-1-1-1-1-2001111-200110000000000
χ2422222-122-122-1-12-122-1-1-1-12-12-2-2-2-2-2-222-1-111-1-1-2-2111111-2-2000000001111-2-1-11120011-1-1200-1-10000000000
χ2522222-122-122-1-12-1-2-2-1-1-1-12-1222222-2-2-211-1-1-1-1-2-2111111-2-200000000-1-1-1-1211-1-120011-1-1-200110000000000
χ2622222-122-122-1-12-1-2-2-1-1-1-12-122222-22-2-21111-1-122-1-1-1-1-1-1-2-200000000-1-1-1-1-21111-2001111200-1-10000000000
χ2722222-122-122-1-12-1-2-2-1-1-1-12-12-2-2-2-22-2-2-211-1-1-1-1-2-211111122000000001111211-1-1-200-1-111200-1-10000000000
χ2822222-122-122-1-12-1-2-2-1-1-1-12-12-2-2-2-2-22-2-21111-1-122-1-1-1-1-1-122000000001111-21111200-1-1-1-1-200110000000000
χ292222-12222-1-122-1-122-1-1-12-12-1000022-1-12222-1-1-1-122-1-1-1-100222222-1-10000-1-1-1-1-102-100000-1-100-1-1000000-10
χ302222-12222-1-122-1-122-1-1-12-12-1000022-1-12222-1-1-1-122-1-1-1-100-2-2-2-2-2-2110000-1-1-1-1-10-210000011001100000010
χ312222-12222-1-122-1-122-1-1-12-12-10000-2-2-1-122-2-2-1-111-2-21111002222-2-2-1-100001-1-1110-2-100000-1-1001100000010
χ322222-12222-1-122-1-122-1-1-12-12-10000-2-2-1-122-2-2-1-111-2-2111100-2-2-2-2221100001-1-111021000001100-1-1000000-10
χ332222-12222-1-122-1-1-2-2-1-1-12-12-100002-211-2-222-1-111-2-211110022-2-2-2-2-1-10000-111-1-102-100000110011000000-10
χ342222-12222-1-122-1-1-2-2-1-1-12-12-100002-211-2-222-1-111-2-2111100-2-22222110000-111-1-10-2100000-1-100-1-100000010
χ352222-12222-1-122-1-1-2-2-1-1-12-12-10000-2211-2-2-2-2-1-1-1-122-1-1-1-10022-2-222-1-10000111110-2-1000001100-1-100000010
χ362222-12222-1-122-1-1-2-2-1-1-12-12-10000-2211-2-2-2-2-1-1-1-122-1-1-1-100-2-222-2-21100001111102100000-1-10011000000-10
χ3722-2-2222-22-22-2-2-22002-2-2-2-2222i−2i2i−2i000000002-20000000000002i−2i00002i−2i2i−2i00000000000002i−2i00002-2000000
χ3822-2-2222-22-22-2-2-22002-2-2-2-2222i−2i2i−2i000000002-2000000000000−2i2i00002i−2i2i−2i0000000000000−2i2i0000-22000000
χ3922-2-2222-22-22-2-2-22002-2-2-2-222−2i2i−2i2i000000002-20000000000002i−2i0000−2i2i−2i2i00000000000002i−2i0000-22000000
χ4022-2-2222-22-22-2-2-22002-2-2-2-222−2i2i−2i2i000000002-2000000000000−2i2i0000−2i2i−2i2i0000000000000−2i2i00002-2000000
χ4122-2-222-222-22-2-2-222i−2i2-2-222-2-22i−2i−2i2i002i−2i2i−2i00-22000000002-2000000002i−2i−2i2i02i−2i000002-200000000000000000
χ4222-2-222-222-22-2-2-222i−2i2-2-222-2-2−2i2i2i−2i002i−2i2i−2i00-2200000000-2200000000−2i2i2i−2i02i−2i00000-2200000000000000000
χ4322-2-222-222-22-2-2-22−2i2i2-2-222-2-22i−2i−2i2i00−2i2i−2i2i00-2200000000-22000000002i−2i−2i2i0−2i2i00000-2200000000000000000
χ4422-2-222-222-22-2-2-22−2i2i2-2-222-2-2−2i2i2i−2i00−2i2i−2i2i00-22000000002-200000000−2i2i2i−2i0−2i2i000002-200000000000000000
χ4522-2-22-1-22-1-2211-2-12i−2i-111-121-22i−2i−2i2i002i−2i−ii3−31-100−i3i3−i3−i3i3i32-200000000−iii−i0−ii3−3000-11−i3i30003−30000000000
χ4622-2-22-1-22-1-2211-2-12i−2i-111-121-22i−2i−2i2i002i−2i−ii−331-100i3−i3i3i3−i3−i32-200000000−iii−i0−ii−33000-11i3−i3000−330000000000
χ4722-2-22-1-22-1-2211-2-12i−2i-111-121-2−2i2i2i−2i002i−2i−ii3−31-100−i3i3−i3−i3i3i3-2200000000i−i−ii0−ii3−30001-1i3−i3000−330000000000
χ4822-2-22-1-22-1-2211-2-12i−2i-111-121-2−2i2i2i−2i002i−2i−ii−331-100i3−i3i3i3−i3−i3-2200000000i−i−ii0−ii−330001-1−i3i30003−30000000000
χ4922-2-22-1-22-1-2211-2-1−2i2i-111-121-22i−2i−2i2i00−2i2ii−i3−31-100i3−i3i3i3−i3−i3-2200000000−iii−i0i−i3−30001-1−i3i3000−330000000000
χ5022-2-22-1-22-1-2211-2-1−2i2i-111-121-22i−2i−2i2i00−2i2ii−i−331-100−i3i3−i3−i3i3i3-2200000000−iii−i0i−i−330001-1i3−i30003−30000000000
χ5122-2-22-1-22-1-2211-2-1−2i2i-111-121-2−2i2i2i−2i00−2i2ii−i3−31-100i3−i3i3i3−i3−i32-200000000i−i−ii0i−i3−3000-11i3−i30003−30000000000
χ5222-2-22-1-22-1-2211-2-1−2i2i-111-121-2−2i2i2i−2i00−2i2ii−i−331-100−i3i3−i3−i3i3i32-200000000i−i−ii0i−i−33000-11−i3i3000−330000000000
χ5344444-2-4-4-244-2-24-200-2-2-22-42-444-4-40000000022000000000000000000-2-222000000000000000000000000000
χ5444444-2-4-4-244-2-24-200-2-2-22-42-4-4-444000000002200000000000000000022-2-2000000000000000000000000000
χ554444-24-4-44-2-244-2-200-2-2-2-42-420000000000002200000000004-400002200000000000-20000000000000000000
χ564444-24-4-44-2-244-2-200-2-2-2-42-42000000000000220000000000-440000-2-20000000000020000000000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-2000044-2-2-2-2-2-211-2-2-2-2111100000000000000-211110000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-20000-4-4-2-2-2-222112222-1-1-1-100000000000000211-1-10000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200004-42222-2-2112222-1-1-1-100000000000000-2-1-1110000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000-4422222211-2-2-2-21111000000000000002-1-1-1-10000000000000000000000
χ6144-4-44-24-4-2-4422-4-200-2222-4-244i−4i4i−4i00000000-22000000000000000000−2i2i−2i2i000000000000000000000000000
χ6244-4-44-24-4-2-4422-4-200-2222-4-24−4i4i−4i4i00000000-220000000000000000002i−2i2i−2i000000000000000000000000000
χ6344-4-4-244-442-2-4-42-200-222-424-2000000000000-220000000000004i−4i000000000000000000000−2i2i000000000000
χ6444-4-4-244-442-2-4-42-200-222-424-2000000000000-22000000000000−4i4i0000000000000000000002i−2i000000000000
χ6544-4-4-24-4442-2-4-42-24i−4i-2224-2-42000000−2i2i4i−4i002-200000000000000000000000−2i2i000000000000000000000000
χ6644-4-4-24-4442-2-4-42-2−4i4i-2224-2-420000002i−2i−4i4i002-2000000000000000000000002i−2i000000000000000000000000
χ6744-4-4-2-2-44-22-222214i−4i1-1-1-2-222000000−2i2i−2i2i23−23-1100−2i32i3i3i3−i3−i3000000000000000i−i−330000000000000000000000
χ6844-4-4-2-2-44-22-222214i−4i1-1-1-2-222000000−2i2i−2i2i−2323-11002i3−2i3−i3−i3i3i3000000000000000i−i3−30000000000000000000000
χ6944-4-4-2-2-44-22-22221−4i4i1-1-1-2-2220000002i−2i2i−2i23−23-11002i3−2i3−i3−i3i3i3000000000000000−ii−330000000000000000000000
χ7044-4-4-2-2-44-22-22221−4i4i1-1-1-2-2220000002i−2i2i−2i−2323-1100−2i32i3i3i3−i3−i3000000000000000−ii3−30000000000000000000000
χ714-44-44400-4-4-44-44400-44-400000000000000000000000000000000000000000000000000000000000000022−2200
χ724-44-44400-4-4-44-44400-44-4000000000000000000000000000000000000000000000000000000000000000−222200
χ734-4-444400-44-4-44-4400-4-440000000000000000000000000000000022−220000000000000000000000022−2200000000
χ744-4-444400-44-4-44-4400-4-4400000000000000000000000000000000−222200000000000000000000000−222200000000
χ754-4-44-2400-4-22-442-20022-20000000000000000006−6006−66−600000022−2223−23000000000000000000000−2200000000
χ764-4-44-2400-4-22-442-20022-20000000000000000006−6006−66−6000000−2222−23230000000000000000000002−200000000
χ774-4-44-2400-4-22-442-20022-2000000000000000000−6600−66−6600000022−22−2323000000000000000000000−2200000000
χ784-4-44-2400-4-22-442-20022-2000000000000000000−6600−66−66000000−222223−230000000000000000000002−200000000
χ798888-4-4-8-8-4-4-4-4-4-42002224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-8-4-48-8-44-44442002-2-244-4-40000000000002-20000000000000000000000000000000000000000000000000
χ818-88-88-4004-8-8-448-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4800-8448-8-4-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ838-88-8-4-400444-44-4200-22-20000000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ848-88-8-4-400444-44-4200-22-200000000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000
χ858-8-888-40048-84-4-8-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-4004-444-44200-2-2200000000000000000026−2600−66−6600000000000000000000000000000000000000000
χ878-8-88-4-4004-444-44200-2-22000000000000000000−2626006−66−600000000000000000000000000000000000000000

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