Finite Group Databasebeta

← Group #11889468

Character table — Group #11889468

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444888888888888888888121212121212121212121212121212121616161616181824242424242424242424242424243648727272
order122233446666663446661212121248121212121212121224242424242424242444448888121212121212121212121222444612121212121224242424412448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-11-1-111-1-1-1-1-1-11111111-1-111-1111-1-1-1-111-1-1-11-1-1-1
χ3111111111111111111111111111111111111111111-111-111-1-1111111-1-111111-1-1-1-11-1-1-11111-1-111-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111
χ5111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-111-1-1111-1111111-1-1-1-1-1-11-11-1-1
χ6111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-111-111-1-1-1-11-1-1111-1-111-1-111-1-1-111
χ7111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-1-111-1-1-1-1-111-1-1-111-1-111-1-1-11-111
χ8111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-111-11-1-1-1-1-1-1111111111-1-1
χ9111111111111111-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111111-1-11111-11-11-1-1-1-111-1-1-1-111-11-1
χ10111111111111111-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-11-1-1-1-111-1-1-1-1111-1-111-1-1-1111-1-111-1-1-1-111-111-11
χ11111111111111111-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-11111-1-11111-1-11-1-111-1-11-1-1-111-1-11111-1-1-1-11-11
χ12111111111111111-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-111111-11-11111-1-111111-1-11-1
χ13111111111111111-1-11111111-11-1-1-1-1-1-111111111111111-1-11111111111-1-1-1-1-111-1-1-11-1-1-1-1-1-111111-1-1-11
χ14111111111111111-1-11111111-11-1-1-1-1-1-111111111111-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1
χ15111111111111111-1-11111111-11-1-1-1-1-1-11111111111-111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1111-1
χ16111111111111111-1-11111111-11-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1111111-1-1-1-111-1-11
χ17222222-2-2222222200222-2-2-2-200000000-2-20000000022-2-200000022-2-2-2-200000-2-20002000000000020000
χ18222222-2-2222222200222-2-2-2-200000000-2-2000000002-22-2000000-2-222-2-2000002200020000000000-20000
χ19222222-2-2222222200222-2-2-2-200000000-2-200000000-22-2200000022-2-2220000022000-20000000000-20000
χ20222222-2-2222222200222-2-2-2-200000000-2-200000000-2-222000000-2-2222200000-2-2000-2000000000020000
χ2122222-122-122-1-12-122-1-1-1-12-1222-1-12222-1-122-1-1-1-1-1-120020022000000-1-1-1-1-1-1-100220-1-1-10000-1-1000-1000
χ2222222-122-122-1-12-122-1-1-1-12-1222-1-12222-1-122-1-1-1-1-1-1-200-200-2-200000011-1-1-1-1-100-2-201110000110001000
χ2322222-122-122-1-12-122-1-1-1-12-12-2-2-1-122-2-2-1-1-2-2111111200200-2-2000000-1-11-1-111002-20-1-1-10000110001000
χ2422222-122-122-1-12-122-1-1-1-12-12-2-2-1-122-2-2-1-1-2-2111111-200-20022000000111-1-11100-2201110000-1-1000-1000
χ2522222-122-122-1-12-1-2-2-1-1-1-12-122-211-2-222-1-1-2-2111111200200-2-2000000-1-1-111-1-100-220-111000011000-1000
χ2622222-122-122-1-12-1-2-2-1-1-1-12-122-211-2-222-1-1-2-2111111-200-2002200000011-111-1-1002-201-1-10000-1-10001000
χ2722222-122-122-1-12-1-2-2-1-1-1-12-12-2211-2-2-2-2-1-122-1-1-1-1-1-120020022000000-1-11111100-2-20-1110000-1-10001000
χ2822222-122-122-1-12-1-2-2-1-1-1-12-12-2211-2-2-2-2-1-122-1-1-1-1-1-1-200-200-2-20000001111111002201-1-1000011000-1000
χ292222-12222-1-122-1-122-1-1-12-12-12222-1-1-1-1-1-1-1-122-1-1-1-10220220022-1-1-1-1002-1-1-1-100002000-1-1-1-100-1-100000
χ302222-12222-1-122-1-122-1-1-12-12-12222-1-1-1-1-1-1-1-122-1-1-1-10-2-20-2-200-2-21111002-1-1-1-10000-20001111001100000
χ312222-12222-1-122-1-122-1-1-12-12-1-2-222-1-111-1-111-2-211110220-2-200-2-2-1-1-1-100-2-1-11100002000-1-111001100000
χ322222-12222-1-122-1-122-1-1-12-12-1-2-222-1-111-1-111-2-211110-2-20220022111100-2-1-1110000-200011-1-100-1-100000
χ332222-12222-1-122-1-1-2-2-1-1-12-12-12-2-2-211-1-1-1-111-2-2111102202200-2-2-1-1-1-100211-1-10000-200011-1-1001100000
χ342222-12222-1-122-1-1-2-2-1-1-12-12-12-2-2-211-1-1-1-111-2-211110-2-20-2-20022111100211-1-100002000-1-11100-1-100000
χ352222-12222-1-122-1-1-2-2-1-1-12-12-1-22-2-21111-1-1-1-122-1-1-1-10220-2-20022-1-1-1-100-211110000-2000111100-1-100000
χ362222-12222-1-122-1-1-2-2-1-1-12-12-1-22-2-21111-1-1-1-122-1-1-1-10-2-202200-2-2111100-2111100002000-1-1-1-1001100000
χ372-2-22222-2-2-2-2-22222i−2i2-2-222-2-2002i−2i2i−2i00-220000000000002-2002i−2i00000002i−2i0000000000002-2002i−2i00000
χ382-2-22222-2-2-2-2-22222i−2i2-2-222-2-2002i−2i2i−2i00-22000000000000-2200−2i2i00000002i−2i000000000000-2200−2i2i00000
χ392-2-22222-2-2-2-2-2222−2i2i2-2-222-2-200−2i2i−2i2i00-220000000000002-200−2i2i0000000−2i2i0000000000002-200−2i2i00000
χ402-2-22222-2-2-2-2-2222−2i2i2-2-222-2-200−2i2i−2i2i00-22000000000000-22002i−2i0000000−2i2i000000000000-22002i−2i00000
χ412-2-22-122-2-211-22-1-12i−2i-1112-1-21002i−2i−ii3−31-1−i3i300−i3−i3i3i300002-2002i−2i3−33−3000−ii3−300000000−i3i3-1100−ii00000
χ422-2-22-122-2-211-22-1-12i−2i-1112-1-21002i−2i−ii3−31-1−i3i300−i3−i3i3i30000-2200−2i2i−33−33000−ii3−300000000i3−i31-100i−i00000
χ432-2-22-122-2-211-22-1-12i−2i-1112-1-21002i−2i−ii−331-1i3−i300i3i3−i3−i300002-2002i−2i−33−33000−ii−3300000000i3−i3-1100−ii00000
χ442-2-22-122-2-211-22-1-12i−2i-1112-1-21002i−2i−ii−331-1i3−i300i3i3−i3−i30000-2200−2i2i3−33−3000−ii−3300000000−i3i31-100i−i00000
χ452-2-22-122-2-211-22-1-1−2i2i-1112-1-2100−2i2ii−i3−31-1i3−i300i3i3−i3−i300002-200−2i2i3−33−3000i−i3−300000000i3−i3-1100i−i00000
χ462-2-22-122-2-211-22-1-1−2i2i-1112-1-2100−2i2ii−i3−31-1i3−i300i3i3−i3−i30000-22002i−2i−33−33000i−i3−300000000−i3i31-100−ii00000
χ472-2-22-122-2-211-22-1-1−2i2i-1112-1-2100−2i2ii−i−331-1−i3i300−i3−i3i3i300002-200−2i2i−33−33000i−i−3300000000−i3i3-1100i−i00000
χ482-2-22-122-2-211-22-1-1−2i2i-1112-1-2100−2i2ii−i−331-1−i3i300−i3−i3i3i30000-22002i−2i3−33−3000i−i−3300000000i3−i31-100−ii00000
χ4944444-2-4-4-244-2-24-200-2-2-22-42-4000000002200000000400-40000000000220000000000-2000000000000000
χ5044444-2-4-4-244-2-24-200-2-2-22-42-4000000002200000000-40040000000000-2-200000000002000000000000000
χ514444-24-4-44-2-244-2-200-2-2-2-42-4200000000220000000004-40000000-2-2220000000000000000000000000000
χ524444-24-4-44-2-244-2-200-2-2-2-42-420000000022000000000-44000000022-2-20000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2144111-2-2-2-244-2-2-2-2-2-211-2-2-2-211110000000000000000-21111000000000000000000000
χ544444-2-244-2-2-2-2-2-2144111-2-2-2-2-4-4-2-2-2-222112222-1-1-1-10000000000000000211-1-1000000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-4111-2-2-2-24-42222-2-2112222-1-1-1-10000000000000000-2-1-111000000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2-4422222211-2-2-2-2111100000000000000002-1-1-1-1000000000000000000000
χ5744-4-44400-44-44-4-4400-44-4000000000000000000000000000022−22000000000000000000000000022−220000000
χ5844-4-44400-44-44-4-4400-44-40000000000000000000000000000−22220000000000000000000000000−22220000000
χ5944-4-44-20024-4-22-4-2002-2200000000000000006−66−66−600000022−2200000023−2300000000000000000−220000000
χ6044-4-44-20024-4-22-4-2002-2200000000000000006−66−66−6000000−2222000000−2323000000000000000002−20000000
χ6144-4-44-20024-4-22-4-2002-220000000000000000−66−66−6600000022−22000000−232300000000000000000−220000000
χ6244-4-44-20024-4-22-4-2002-220000000000000000−66−66−66000000−222200000023−23000000000000000002−20000000
χ634-44-444004-44-4-4-4400-4-4400000000000000000000000000000000000000000004-40000000000000000000
χ644-44-444004-44-4-4-4400-4-440000000000000000000000000000000000000000000-440000000000000000000
χ654-4-4444-44-4-4-4-4444004-4-4-4-444000000004-400000000000000000000000000000000000000000000000000
χ664-4-444-24-42-4-42-24-24i−4i-222-242-400−2i2i4i−4i002-20000000000000000000000000−2i2i00000000000000000000000
χ674-4-444-24-42-4-42-24-2−4i4i-222-242-4002i−2i−4i4i002-200000000000000000000000002i−2i00000000000000000000000
χ684-4-444-2-442-4-42-24-200-2222-4-2400000000-220000000000000000000000000000000000023−230000000000000
χ694-4-444-2-442-4-42-24-200-2222-4-2400000000-2200000000000000000000000000000000000−23230000000000000
χ704-4-44-24-44-422-44-2-200-222-424-200000000-2200000000000000000023−23−23230000000000000000000000000000
χ714-4-44-24-44-422-44-2-200-222-424-200000000-22000000000000000000−232323−230000000000000000000000000000
χ724-4-44-2-24-42222-2-214i−4i1-1-1-2-22200−2i2i−2i2i23−23-11−2i32i300i3i3−i3−i300000000000000000i−i−33000000000000000000000
χ734-4-44-2-24-42222-2-214i−4i1-1-1-2-22200−2i2i−2i2i−2323-112i3−2i300−i3−i3i3i300000000000000000i−i3−3000000000000000000000
χ744-4-44-2-24-42222-2-21−4i4i1-1-1-2-222002i−2i2i−2i23−23-112i3−2i300−i3−i3i3i300000000000000000−ii−33000000000000000000000
χ754-4-44-2-24-42222-2-21−4i4i1-1-1-2-222002i−2i2i−2i−2323-11−2i32i300i3i3−i3−i300000000000000000−ii3−3000000000000000000000
χ768888-4-4-8-8-4-4-4-4-4-4200222444400000000-2-200000000000000000000000000000000000000000000000000
χ7788-8-8-4800-8-448-84-4004-440000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4-4004-44-444200-22-2000000000000000026−26−66−66000000000000000000000000000000000000000000
χ7988-8-8-4-4004-44-444200-22-20000000000000000−26266−66−6000000000000000000000000000000000000000000
χ808-88-88-400-4-8844-8-40044-40000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-480084-4-8-84-40044-40000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-400-44-4444200-2-22000000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000000
χ838-88-8-4-400-44-4444200-2-220000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000000
χ848-8-88-4-4-884444-4-42002-2-244-4-4000000002-200000000000000000000000000000000000000000000000000

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