Finite Group Databasebeta

← Group #11884653

Character table — Group #11884653

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444444466888888888888121212121212121212121212121212121216161616161616242424242424242424363636364848487272
order12223344666666366688121212122424242444441212121224242424242422244668812121212242424241212121212121224466812242424446121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-11111-1-11111111111111-111-1-1-1-1-1-1-1-1-1-1-111-1-1
χ3111111111111111111111111111111-1-1-1-111111111111-1-11111-1-1111111-1-1-1-1-1-1-11-1-111-1-1-1-1-111-11-1-11-1
χ4111111111111111111111111111111-1-1-1-1111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-1-1-11
χ51111111111111111111111111111-1-1111111111111-11111-1-1-1-111-1-1-1-1-1-111111111-1-1111111-1-1-1-11-1-1-1-1
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
χ71111111111111111111111111111-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11-1-11111-11
χ81111111111111111111111111111-1-1-1-1-1-111111111-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-111-1-1111-1
χ9111111111111111111-1-11111-1-1-1-1111-11111-1-1-1-1-1-11111111-1-11111-1-1-1-1-11-111-1-1-1-1111-11-1-11-1-11-1-111-1
χ10111111111111111111-1-11111-1-1-1-1111-11111-1-1-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-1-11-111-1-11-11-1-11-111-111-11-11-11
χ11111111111111111111-1-11111-1-1-1-111-11-1-111-1-1-1-1-1-1111-1-111-1-1-1-111-1-1-1-11-11-1-111-11-1111-111-1-1-1-1-11-111
χ12111111111111111111-1-11111-1-1-1-111-11-1-111-1-1-1-1-1-11-1-11111-1-11111-1-1-1-11-11-1-11111-1-1-1-11-1-1111111-1-1-1
χ13111111111111111111-1-11111-1-1-1-1-1-11-11111-1-1-1-1-1-1-11111-1-11111-1-11111-11-111-1-1-11-111-11-1-1-111-1-11-1-11
χ14111111111111111111-1-11111-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-111-1-111-1-1-11-1111-1-1111-11-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111-11-1-111-1-11111-1111111-1-11-1-1
χ16111111111111111111-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-111-1-11111-1-111111-11-1-1111-11-1-1-11-1-1-1-1-1-11-1111
χ17222222-2-2222222222200-2-2-2-20000220000-2-2000000-2002-2-2-200-2-22200000000000000000200200-200000
χ18222222-2-2222222222200-2-2-2-20000220000-2-2000000-200-22-2-200222200000000000000000-200-200200000
χ19222222-2-2222222222200-2-2-2-20000-2-20000-2-20000002002-22200-2-2-2-200000000000000000200-200200000
χ20222222-2-2222222222200-2-2-2-20000-2-20000-2-2000000200-22220022-2-200000000000000000-200200-200000
χ2122222-1222-1-1-122-1-1-1-122-12-1222220022-1-1-1-1-1-1-1-1-1-1022220000-1-1000000-122-1-1-1-1200-1-12-1-1-10000-10000
χ2222222-1222-1-1-122-1-1-1-122-12-1222220022-1-1-1-1-1-1-1-1-1-10-2-2-2-2000011000000-122-1-1-1-1-20011-2111000010000
χ2322222-1222-1-1-122-1-1-1-122-12-12222200-2-211-1-1-1-1-1-1-1-1022-2-20000110000001-2-21111200-1-1-21110000-10000
χ2422222-1222-1-1-122-1-1-1-122-12-12222200-2-211-1-1-1-1-1-1-1-10-2-2220000-1-10000001-2-21111-200112-1-1-1000010000
χ2522222-1222-1-1-122-1-1-1-1-2-2-12-12-2-2-2-2002-2-1-1-1-1111111022220000-1-100000012-2-1-111-200-1-1-2-111000010000
χ2622222-1222-1-1-122-1-1-1-1-2-2-12-12-2-2-2-2002-2-1-1-1-11111110-2-2-2-200001100000012-2-1-1112001121-1-10000-10000
χ2722222-1222-1-1-122-1-1-1-1-2-2-12-12-2-2-2-200-2211-1-1111111022-2-2000011000000-1-2211-1-1-200-1-121-1-1000010000
χ2822222-1222-1-1-122-1-1-1-1-2-2-12-12-2-2-2-200-2211-1-11111110-2-2220000-1-1000000-1-2211-1-120011-2-1110000-10000
χ292222-1222-1222-1-1-1-1-1-1222-12-1-1-1-1-1222222-1-122-1-1-1-120000-1-12200-1-1-1-1-1-12-1-1-1-1-1-102200000000000-1-100
χ302222-1222-1222-1-1-1-1-1-1222-12-1-1-1-1-122-2-2-2-2-1-122-1-1-1-120000-1-12200-1-1-1-1-1-1-21111110-2-2000000000001100
χ312222-1222-1222-1-1-1-1-1-1222-12-1-1-1-1-1-2-22222-1-122-1-1-1-1-2000011-2-2001111112-1-1-1-1-1-10-2-2000000000001100
χ322222-1222-1222-1-1-1-1-1-1222-12-1-1-1-1-1-2-2-2-2-2-2-1-122-1-1-1-1-2000011-2-200111111-211111102200000000000-1-100
χ332222-1222-1222-1-1-1-1-1-1-2-22-12-11111222-222-1-1-2-2111120000-1-1-2-200-1-11111-2-11-1-1110-22000000000001-100
χ342222-1222-1222-1-1-1-1-1-1-2-22-12-1111122-22-2-2-1-1-2-2111120000-1-1-2-200-1-1111121-111-1-102-200000000000-1100
χ352222-1222-1222-1-1-1-1-1-1-2-22-12-11111-2-22-222-1-1-2-21111-2000011220011-1-1-1-1-2-11-1-11102-200000000000-1100
χ362222-1222-1222-1-1-1-1-1-1-2-22-12-11111-2-2-22-2-2-1-1-2-21111-2000011220011-1-1-1-121-111-1-10-22000000000001-100
χ372-2-22222-2-22-2-2-222-2-2200-2-2220000000000-2200000002-200002-2000022-2-200000000002-2000002-2000000
χ382-2-22222-2-22-2-2-222-2-2200-2-2220000000000-2200000002-20000-220000-2-22200000000002-200000-22000000
χ392-2-22222-2-22-2-2-222-2-2200-2-2220000000000-220000000-2200002-2000022-2-20000000000-2200000-22000000
χ402-2-22222-2-22-2-2-222-2-2200-2-2220000000000-220000000-220000-220000-2-2220000000000-22000002-2000000
χ4144444-2-4-44-2-2-244-2-2-2-2002-42-40000000000220000000004-40000220000000000000000000-200000000000
χ4244444-2-4-44-2-2-244-2-2-2-2002-42-4000000000022000000000-440000-2-20000000000000000000200000000000
χ434444-24-4-4-2444-2-2-2-2-2-200-42-42000044000022000000-40000220000-2-200000000000000000000000000000
χ444444-24-4-4-2444-2-2-2-2-2-200-42-420000-4-400002200000040000-2-200002200000000000000000000000000000
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
χ474444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222004-4-2-21122-1-1-1-1000000000000000002-2211-1-1000000000000000000
χ484444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200-44221122-1-1-1-100000000000000000-22-2-1-111000000000000000000
χ4944-4-444004-44-4-4-444-4-422−2200002222−22−220000000022−222222−22−22000000000000000000000000000000000000000000
χ5044-4-444004-44-4-4-444-4-4−22220000−22−22222200000000−2222−22−222222000000000000000000000000000000000000000000
χ5144-4-44-20042-22-4-4-2-22222−2200002222−22−2200000000−22−2−22200000000023−23000000000000000000006−6000000000
χ5244-4-44-20042-22-4-4-2-22222−2200002222−22−2200000000−22−2−222000000000−232300000000000000000000−66000000000
χ5344-4-44-20042-22-4-4-2-222−22220000−22−222222000000002−222−2−200000000023−2300000000000000000000−66000000000
χ5444-4-44-20042-22-4-4-2-222−22220000−22−222222000000002−222−2−2000000000−2323000000000000000000006−6000000000
χ5544-4-4-2400-2-44-422-2-22222−220000−2−2220000000022−22−2−22200000−2i32i3000000i6−i6i6−i60000000000000000000000000
χ5644-4-4-2400-2-44-422-2-22222−220000−2−2220000000022−22−2−222000002i3−2i3000000−i6i6−i6i60000000000000000000000000
χ5744-4-4-2400-2-44-422-2-222−2222000022−2−200000000−222222−2−200000−2i32i3000000−i6i6−i6i60000000000000000000000000
χ5844-4-4-2400-2-44-422-2-222−2222000022−2−200000000−222222−2−2000002i3−2i3000000i6−i6i6−i60000000000000000000000000
χ594-44-44400-4-4-444-44-44-400000000004i−4i000000000000000000000004i−4i00000000000000000000000000000
χ604-44-44400-4-4-444-44-44-40000000000−4i4i00000000000000000000000−4i4i00000000000000000000000000000
χ614-44-4-24002-4-44-22-22-220000006−66−64i−4i000000006−66−600000000000−2i2ii6−i6−i6i60000000000000000000000000
χ624-44-4-24002-4-44-22-22-220000006−66−6−4i4i000000006−66−6000000000002i−2i−i6i6i6−i60000000000000000000000000
χ634-44-4-24002-4-44-22-22-22000000−66−664i−4i00000000−66−6600000000000−2i2i−i6i6i6−i60000000000000000000000000
χ644-44-4-24002-4-44-22-22-22000000−66−66−4i4i00000000−66−66000000000002i−2ii6−i6−i6i60000000000000000000000000
χ654-4-4444-44-44-4-4-444-4-440044-4-400000000004-4000000000000000000000000000000000000000000000000
χ664-4-444-24-4-4-222-44-222-2002-4-2400000000002-200000004-4000000000000000000000000-220000000000000
χ674-4-444-24-4-4-222-44-222-2002-4-2400000000002-20000000-440000000000000000000000002-20000000000000
χ684-4-444-2-44-4-222-44-222-200-242-40000000023−23-220000000000000000000000000023−2300000000000000000000
χ694-4-444-2-44-4-222-44-222-200-242-400000000−2323-2200000000000000000000000000−232300000000000000000000
χ704-4-44-244-424-4-42-2-222-200-424-200000000002-200000000000004-40000-2-2220000000000000000000000000
χ714-4-44-244-424-4-42-2-222-200-424-200000000002-20000000000000-44000022-2-20000000000000000000000000
χ724-4-44-24-4424-4-42-2-222-2004-2-4223−23−2323000000-220023−23−2323000000000000000000000000000000000000000000
χ734-4-44-24-4424-4-42-2-222-2004-2-42−232323−23000000-2200−232323−23000000000000000000000000000000000000000000
χ744-4-44-2-2-442-2222-21-1-1100-2-22223−23−2323000023−231-100−333−300000000000000000000−333-3000000000000000000
χ754-4-44-2-2-442-2222-21-1-1100-2-22223−23−23230000−23231-100−333−3000000000000000000003−3-33000000000000000000
χ764-4-44-2-2-442-2222-21-1-1100-2-222−232323−23000023−231-1003−3−3300000000000000000000−33-33000000000000000000
χ774-4-44-2-2-442-2222-21-1-1100-2-222−232323−230000−23231-1003−3−33000000000000000000003−33-3000000000000000000
χ788888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000
χ7988-8-8-4-400-44-444422-2-242−420000−22−22222200000000−222222−2−2000000000000000000000000000000000000000000
χ8088-8-8-4-400-44-444422-2-2−424200002222−22−220000000022−22−2−222000000000000000000000000000000000000000000
χ818-88-88-400-844-48-8-44-44000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-400444-4-442-22-200000026−2626−260000000000−66−66000000000000000000000000000000000000000000
χ838-88-8-4-400444-4-442-22-2000000−2626−262600000000006−66−6000000000000000000000000000000000000000000
χ848-8-88-4-48-84-4444-42-2-220044-4-40000000000-22000000000000000000000000000000000000000000000000

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