Finite Group Databasebeta

← Group #11884808

Character table — Group #11884808

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444444466888888888888121212121212121212121212121212121216161616161616242424242424242424363636364848487272
order1222334466666636668812121212242424242244121212122424242424244444466881212121224242424121212121212122448121212242424446121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-11-1-11111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1
χ3111111111111111111111111111111-1-1-1-111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11
χ4111111111111111111111111111111-1-1-1-111111111-1-11111111-1-1111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-111-1
χ51111111111111111111111111111-1-111111111111111-111-1-1-1-111-1-1-1-1-1-11111111-1-11111111-1-1-1-1-1-11-1-1
χ61111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-111
χ71111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-11111-11-1
χ81111111111111111111111111111-1-1-1-1-1-111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-111-1-1111-11
χ9111111111111111111-1-11111-1-1-1-1111-11111-1-1-1-1-1-11111111-1-11111-1-1-1-11-1-111-1-11-1-1-1111-1-111-1-11-1-11-1
χ10111111111111111111-1-11111-1-1-1-1111-11111-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-1-1-11-1-111-1-11-111-1-1-111-1-1111-11-11
χ11111111111111111111-1-11111-1-1-1-111-11-1-111-1-1-1-1-1-1111-1-111-1-11111-1-1-1-1-111-1-111-111-11-1-1-1-11111-111-1-1
χ12111111111111111111-1-11111-1-1-1-111-11-1-111-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-111-1-111-11-11-11111-1-1-1-1-11-111
χ13111111111111111111-1-11111-1-1-1-1-1-11-11111-1-1-1-1-1-111-111-1-11111-1-111111-1-111-1-1-11-1-1111-1-1-1-111-11-1-11
χ14111111111111111111-1-11111-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-111-1-1-1111-1-1-11111-1-1-1111-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-111-1-1-1-1-11111-1-11111-111-1-1111-11-11-1-1-1-1-1-1-1-11-1111
χ16111111111111111111-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-111-1-1111-1-11-1111111111-1-1-1-1
χ17222222-2-2222222222200-2-2-2-20000220000-2-20000002-2-2002200-2-2-2-2000000000000000200002-20000000
χ18222222-2-2222222222200-2-2-2-20000220000-2-2000000-22-200220022-2-2000000000000000-20000-220000000
χ19222222-2-2222222222200-2-2-2-20000-2-20000-2-20000002-2200-2-200-2-22200000000000000020000-220000000
χ20222222-2-2222222222200-2-2-2-20000-2-20000-2-2000000-22200-2-2002222000000000000000-200002-20000000
χ2122222-122-122-1-12-1-1-1-122-12-12-1-1-1-1222222-1-122-1-1-1-100200-1-12200-1-1-1-1-1-1-1-12-1-1-1-12200000000000-1-1000
χ2222222-122-122-1-12-1-1-1-122-12-12-1-1-1-122-2-2-2-2-1-122-1-1-1-100200-1-12200-1-1-1-1-1-111-21111-2-20000000000011000
χ2322222-122-122-1-12-1-1-1-122-12-12-1-1-1-1-2-22222-1-122-1-1-1-100-20011-2-200111111-1-12-1-1-1-1-2-20000000000011000
χ2422222-122-122-1-12-1-1-1-122-12-12-1-1-1-1-2-2-2-2-2-2-1-122-1-1-1-100-20011-2-20011111111-211112200000000000-1-1000
χ2522222-122-122-1-12-1-1-1-1-2-2-12-121111222-222-1-1-2-2111100200-1-1-2-200-1-11111-11-2-1-1112-200000000000-11000
χ2622222-122-122-1-12-1-1-1-1-2-2-12-12111122-22-2-2-1-1-2-2111100200-1-1-2-200-1-111111-1211-1-1-22000000000001-1000
χ2722222-122-122-1-12-1-1-1-1-2-2-12-121111-2-22-222-1-1-2-2111100-20011220011-1-1-1-1-11-2-1-111-22000000000001-1000
χ2822222-122-122-1-12-1-1-1-1-2-2-12-121111-2-2-22-2-2-1-1-2-2111100-20011220011-1-1-1-11-1211-1-12-200000000000-11000
χ292222-12222-1-122-1-1-1-1-1222-12-122220022-1-1-1-1-1-1-1-1-1-1220220000-1-100000022-1-1-1-1-10022-1-1-1-1-1000000-100
χ302222-12222-1-122-1-1-1-1-1222-12-122220022-1-1-1-1-1-1-1-1-1-1-2-20-2-200001100000022-1-1-1-1-100-2-211111000000100
χ312222-12222-1-122-1-1-1-1-1222-12-1222200-2-211-1-1-1-1-1-1-1-1220-2-20000-1-1000000-2-21111100-22-111-1-1000000100
χ322222-12222-1-122-1-1-1-1-1222-12-1222200-2-211-1-1-1-1-1-1-1-1-2-2022000011000000-2-211111002-21-1-111000000-100
χ332222-12222-1-122-1-1-1-1-1-2-22-12-1-2-2-2-2002-2-1-1-1-1111111220220000-1-10000002-21-1-11100-2-2-1-1-111000000100
χ342222-12222-1-122-1-1-1-1-1-2-22-12-1-2-2-2-2002-2-1-1-1-1111111-2-20-2-20000110000002-21-1-1110022111-1-1000000-100
χ352222-12222-1-122-1-1-1-1-1-2-22-12-1-2-2-2-200-2211-1-1111111220-2-20000-1-1000000-22-111-1-1002-2-11111000000-100
χ362222-12222-1-122-1-1-1-1-1-2-22-12-1-2-2-2-200-2211-1-1111111-2-2022000011000000-22-111-1-100-221-1-1-1-1000000100
χ372-2-22222-2-2-2-22-222-2-2200-2-2220000000000-220000000002-2002-2000022-2-20000000000002-200002-200000
χ382-2-22222-2-2-2-22-222-2-2200-2-2220000000000-220000000002-200-220000-2-2220000000000002-20000-2200000
χ392-2-22222-2-2-2-22-222-2-2200-2-2220000000000-22000000000-22002-2000022-2-2000000000000-220000-2200000
χ402-2-22222-2-2-2-22-222-2-2200-2-2220000000000-22000000000-2200-220000-2-222000000000000-2200002-200000
χ4144444-2-4-4-244-2-24-2-2-2-2002-42-400004400002200000000-400-2-200002200000000000000000000000000000
χ4244444-2-4-4-244-2-24-2-2-2-2002-42-40000-4-400002200000000400220000-2-200000000000000000000000000000
χ434444-24-4-44-2-244-2-2-2-2-200-42-420000000000220000004-400000002200000000000000000-20000000000000
χ444444-24-4-44-2-244-2-2-2-2-200-42-42000000000022000000-440000000-2-20000000000000000020000000000000
χ454444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20044-2-211-2-2111100000000000000000-2-2-21111000000000000000000
χ464444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200-4-42211-2-2111100000000000000000222-1-1-1-1000000000000000000
χ474444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222004-4-2-21122-1-1-1-100000000000000000-22211-1-1000000000000000000
χ484444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200-44221122-1-1-1-1000000000000000002-2-2-1-111000000000000000000
χ4944-4-444004-44-4-4-44-44-400000000004-4000000000000000004-400000000000000000000000000000000000
χ5044-4-444004-44-4-4-44-44-40000000000-4400000000000000000-4400000000000000000000000000000000000
χ5144-4-44-200-2-4422-4-22-2200000066−6−64-40000000066−6−600000-220000006−66−60000000000000000000000000
χ5244-4-44-200-2-4422-4-22-2200000066−6−6-440000000066−6−6000002-2000000−66−660000000000000000000000000
χ5344-4-44-200-2-4422-4-22-22000000−6−6664-400000000−6−66600000-22000000−66−660000000000000000000000000
χ5444-4-44-200-2-4422-4-22-22000000−6−666-4400000000−6−666000002-20000006−66−60000000000000000000000000
χ554-44-44400-44-4-44-444-4-422−22000022−2222−220000000022−2222−2222−22000000000000000000000000000000000000000000
χ564-44-44400-44-4-44-444-4-4−22220000−2222−222200000000−2222−2222−2222000000000000000000000000000000000000000000
χ574-44-44-20024-42-2-4-2-22222−220000−22−220000000022−22−22−220000000000023−236−6−660000000000000000000000000
χ584-44-44-20024-42-2-4-2-22222−220000−22−220000000022−22−22−2200000000000−2323−666−60000000000000000000000000
χ594-44-44-20024-42-2-4-2-222−222200002−22−200000000−22222−22−20000000000023−23−666−60000000000000000000000000
χ604-44-44-20024-42-2-4-2-222−222200002−22−200000000−22222−22−200000000000−23236−6−660000000000000000000000000
χ614-44-4-2400-4-22-442-2-22222−22000022−2222−2200000000−22−22−22000000000−2i32i300000000000000000000i6−i6000000000
χ624-44-4-2400-4-22-442-2-22222−22000022−2222−2200000000−22−22−220000000002i3−2i300000000000000000000−i6i6000000000
χ634-44-4-2400-4-22-442-2-222−22220000−2222−2222000000002−22−22−2000000000−2i32i300000000000000000000−i6i6000000000
χ644-44-4-2400-4-22-442-2-222−22220000−2222−2222000000002−22−22−20000000002i3−2i300000000000000000000i6−i6000000000
χ654-4-4444-44-4-4-44-444-4-440044-4-400000000004-4000000000000000000000000000000000000000000000000
χ664-4-444-24-42-4-4-224-222-2002-4-2400000000002-200000000000004-40000-2-2220000000000000000000000000
χ674-4-444-24-42-4-4-224-222-2002-4-2400000000002-20000000000000-44000022-2-20000000000000000000000000
χ684-4-444-2-442-4-4-224-222-200-242-423−23−2323000000-220023−23−2323000000000000000000000000000000000000000000
χ694-4-444-2-442-4-4-224-222-200-242-4−232323−23000000-2200−232323−23000000000000000000000000000000000000000000
χ704-4-44-244-4-4224-4-2-222-200-424-200000000002-20000000004-4000000000000000000000000-2200000000000
χ714-4-44-244-4-4224-4-2-222-200-424-200000000002-2000000000-440000000000000000000000002-200000000000
χ724-4-44-24-44-4224-4-2-222-2004-2-420000000023−23-220000000000000000000000000023−2300000000000000000000
χ734-4-44-24-44-4224-4-2-222-2004-2-4200000000−2323-2200000000000000000000000000−232300000000000000000000
χ744-4-44-2-2-44222-22-21-1-1100-2-22223−23−2323000023−231-100−333−300000000000000000000−333-3000000000000000000
χ754-4-44-2-2-44222-22-21-1-1100-2-22223−23−23230000−23231-100−333−3000000000000000000003−3-33000000000000000000
χ764-4-44-2-2-44222-22-21-1-1100-2-222−232323−23000023−231-1003−3−3300000000000000000000−33-33000000000000000000
χ774-4-44-2-2-44222-22-21-1-1100-2-222−232323−230000−23231-1003−3−33000000000000000000003−33-3000000000000000000
χ788888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000
χ7988-8-8-480084-4-8-84-44-44000000000000000000000000000000000000000000000000000000000000000000
χ8088-8-8-4-400-44-44442-22-20000002626−26−260000000000−6−666000000000000000000000000000000000000000000
χ8188-8-8-4-400-44-44442-22-2000000−26−262626000000000066−6−6000000000000000000000000000000000000000000
χ828-88-8-4-4004-444-4422-2-242−420000−2222−222200000000−22222−22−2000000000000000000000000000000000000000000
χ838-88-8-4-4004-444-4422-2-2−4242000022−2222−220000000022−22−22−22000000000000000000000000000000000000000000
χ848-8-88-4-48-8444-44-42-2-220044-4-40000000000-22000000000000000000000000000000000000000000000000

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