Finite Group Databasebeta

← Group #11889424

Character table — Group #11889424

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444444466888888888888121212121212121212121212121212121216161616161616242424242424242424363636364848487272
order122233446666663666881212121224242424224412121212242424242424244446666881212242424241212121212121244481212122424444412121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-11-1-1-111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1
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
χ4111111111111111111111111111111-1-1-1-111111111-11-11111-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1111-1-11-1
χ51111111111111111111111111111-1-11111111111111-1111-1-111-1-1-1-1-1-1-1-11111111-1-11111111-1-1-1-11-1-1-1-1
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
χ71111111111111111111111111111-1-1-1-1-1-1111111111-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-111-1111-1
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
χ9111111111111111111-1-11111-1-1-1-1111-11111-1-1-1-1-1-1111111111-1-111-1-1-1-11-1-111-1-11-1-1-1111-1-111-1-1-11-11-1
χ10111111111111111111-1-11111-1-1-1-1111-11111-1-1-1-1-1-1-11-1-1-111-1-1-1-111-1-1-1-11-1-111-1-11-111-1-1-111-1-11111-1-11
χ11111111111111111111-1-11111-1-1-1-111-11-1-111-1-1-1-1-1-1111-1-11111-1-111-1-1-1-1-111-1-111-111-11-1-1-1-111111-11-1-1
χ12111111111111111111-1-11111-1-1-1-111-11-1-111-1-1-1-1-1-1-11-11111-1-1-1-111-1-1-1-1-111-1-111-11-11-11111-1-1-1-1-1-1111
χ13111111111111111111-1-11111-1-1-1-1-1-11-11111-1-1-1-1-1-11-1111-1-11111-1-111111-1-111-1-1-11-1-1111-1-1-1-111-1-11-11
χ14111111111111111111-1-11111-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-111-1-1-1111-1-1-11111-1-11-111-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-11-11-1-1-1-11111-1-11111-111-1-1111-11-11-1-1-1-1-1-1-1-111-111
χ16111111111111111111-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-111-1-1111-1-11-111111111-11-1-1-1
χ17222222-2-2222222222200-2-2-2-20000220000-2-20000002-2-200222200-2-2000000000000000-20000-220000000
χ18222222-2-2222222222200-2-2-2-20000220000-2-2000000-2-220022-2-200-2-2000000000000000200002-20000000
χ19222222-2-2222222222200-2-2-2-20000-2-20000-2-200000022-200-2-2220022000000000000000-200002-20000000
χ20222222-2-2222222222200-2-2-2-20000-2-20000-2-2000000-22200-2-2-2-2002200000000000000020000-220000000
χ2122222-1222-12-1-12-1-1-1-122-122-1-1-1-1-1222222-1-122-1-1-1-102000-1-10022-1-1-1-1-1-1-1-12-1-1-1-122000000000000-1-100
χ2222222-1222-12-1-12-1-1-1-122-122-1-1-1-1-122-2-2-2-2-1-122-1-1-1-102000-1-10022-1-1-1-1-1-111-21111-2-20000000000001100
χ2322222-1222-12-1-12-1-1-1-122-122-1-1-1-1-1-2-22222-1-122-1-1-1-10-20001100-2-2111111-1-12-1-1-1-1-2-20000000000001100
χ2422222-1222-12-1-12-1-1-1-122-122-1-1-1-1-1-2-2-2-2-2-2-1-122-1-1-1-10-20001100-2-211111111-2111122000000000000-1-100
χ2522222-1222-12-1-12-1-1-1-1-2-2-122-11111222-222-1-1-2-2111102000-1-100-2-2-1-11111-11-2-1-1112-2000000000000-1100
χ2622222-1222-12-1-12-1-1-1-1-2-2-122-1111122-22-2-2-1-1-2-2111102000-1-100-2-2-1-111111-1211-1-1-220000000000001-100
χ2722222-1222-12-1-12-1-1-1-1-2-2-122-11111-2-22-222-1-1-2-211110-200011002211-1-1-1-1-11-2-1-111-220000000000001-100
χ2822222-1222-12-1-12-1-1-1-1-2-2-122-11111-2-2-22-2-2-1-1-2-211110-200011002211-1-1-1-11-1211-1-12-2000000000000-1100
χ292222-1222-12-122-1-1-1-1-1222-1-1222220022-1-1-1-1-1-1-1-1-1-12022200-1-10000000022-1-1-1-1-10022-1-1-1-1-10000-10000
χ302222-1222-12-122-1-1-1-1-1222-1-1222220022-1-1-1-1-1-1-1-1-1-1-20-2-2-200110000000022-1-1-1-1-100-2-211111000010000
χ312222-1222-12-122-1-1-1-1-1222-1-12222200-2-211-1-1-1-1-1-1-1-1202-2-200-1-100000000-2-21111100-22-111-1-1000010000
χ322222-1222-12-122-1-1-1-1-1222-1-12222200-2-211-1-1-1-1-1-1-1-1-20-222001100000000-2-211111002-21-1-1110000-10000
χ332222-1222-12-122-1-1-1-1-1-2-22-1-12-2-2-2-2002-2-1-1-1-11111112022200-1-1000000002-21-1-11100-2-2-1-1-111000010000
χ342222-1222-12-122-1-1-1-1-1-2-22-1-12-2-2-2-2002-2-1-1-1-1111111-20-2-2-20011000000002-21-1-1110022111-1-10000-10000
χ352222-1222-12-122-1-1-1-1-1-2-22-1-12-2-2-2-200-2211-1-1111111202-2-200-1-100000000-22-111-1-1002-2-111110000-10000
χ362222-1222-12-122-1-1-1-1-1-2-22-1-12-2-2-2-200-2211-1-1111111-20-222001100000000-22-111-1-100-221-1-1-1-1000010000
χ372-2-22222-2-2-2-22-222-2-22002-22-200000000002-20000000002-200002i−2i002i2i−2i−2i0000000000002-200002i−2i00000
χ382-2-22222-2-2-2-22-222-2-22002-22-200000000002-20000000002-20000−2i2i00−2i−2i2i2i0000000000002-20000−2i2i00000
χ392-2-22222-2-2-2-22-222-2-22002-22-200000000002-2000000000-2200002i−2i002i2i−2i−2i000000000000-220000−2i2i00000
χ402-2-22222-2-2-2-22-222-2-22002-22-200000000002-2000000000-220000−2i2i00−2i−2i2i2i000000000000-2200002i−2i00000
χ4144444-2-4-44-24-2-24-2-2-2-2002-4-420000440000220000000-4000-2-200002200000000000000000000000000000
χ4244444-2-4-44-24-2-24-2-2-2-2002-4-420000-4-400002200000004000220000-2-200000000000000000000000000000
χ434444-24-4-4-24-244-2-2-2-2-200-422-400000000002200000040-40000-2-2000000000000000000020000000000000
χ444444-24-4-4-24-244-2-2-2-2-200-422-4000000000022000000-4040000220000000000000000000-20000000000000
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
χ4944-4-444004-4-4-44-444-4-422−2200002222−22−220000000022−222222−22−22000000000000000000000000000000000000000000
χ5044-4-444004-4-4-44-444-4-4−22220000−22−22222200000000−2222−22−222222000000000000000000000000000000000000000000
χ5144-4-44-20042-42-2-4-2-22222−220000−2−2220000000022−22−2−2220000000000023−236−66−60000000000000000000000000
χ5244-4-44-20042-42-2-4-2-22222−220000−2−2220000000022−22−2−22200000000000−2323−66−660000000000000000000000000
χ5344-4-44-20042-42-2-4-2-222−2222000022−2−200000000−222222−2−20000000000023−23−66−660000000000000000000000000
χ5444-4-44-20042-42-2-4-2-222−2222000022−2−200000000−222222−2−200000000000−23236−66−60000000000000000000000000
χ5544-4-4-2400-2-42-442-2-22222−2200002222−22−2200000000−22−2−2220000000−2i32i30000000000000000000000i6−i6000000000
χ5644-4-4-2400-2-42-442-2-22222−2200002222−22−2200000000−22−2−22200000002i3−2i30000000000000000000000−i6i6000000000
χ5744-4-4-2400-2-42-442-2-222−22220000−22−222222000000002−222−2−20000000−2i32i30000000000000000000000−i6i6000000000
χ5844-4-4-2400-2-42-442-2-222−22220000−22−222222000000002−222−2−200000002i3−2i30000000000000000000000i6−i6000000000
χ594-44-44400-444-4-4-44-44-400000000004-4000000000000000004-400000000000000000000000000000000000
χ604-44-44400-444-4-4-44-44-40000000000-4400000000000000000-4400000000000000000000000000000000000
χ614-44-44-200-4-2422-4-22-22000000i6−i6i6−i64-400000000i6−i6i6−i600000-22000000i6−i6−i6i60000000000000000000000000
χ624-44-44-200-4-2422-4-22-22000000i6−i6i6−i6-4400000000i6−i6i6−i6000002-2000000−i6i6i6−i60000000000000000000000000
χ634-44-44-200-4-2422-4-22-22000000−i6i6−i6i64-400000000−i6i6−i6i600000-22000000−i6i6i6−i60000000000000000000000000
χ644-44-44-200-4-2422-4-22-22000000−i6i6−i6i6-4400000000−i6i6−i6i6000002-2000000i6−i6−i6i60000000000000000000000000
χ654-4-4444-44-4-4-44-444-4-4400-44-440000000000-44000000000000000000000000000000000000000000000000
χ664-4-444-24-4-42-4-224-222-200-2-4420000000000-220000000000000004i−4i00−2i−2i2i2i0000000000000000000000000
χ674-4-444-24-4-42-4-224-222-200-2-4420000000000-22000000000000000−4i4i002i2i−2i−2i0000000000000000000000000
χ684-4-444-2-44-42-4-224-222-20024-4-2−2i32i32i3−2i30000002-200−2i32i32i3−2i3000000000000000000000000000000000000000000
χ694-4-444-2-44-42-4-224-222-20024-4-22i3−2i3−2i32i30000002-2002i3−2i3−2i32i3000000000000000000000000000000000000000000
χ704-4-44-244-42-424-4-2-222-20042-2-40000000000-220000000004-4000000000000000000000000-2200000000000
χ714-4-44-244-42-424-4-2-222-20042-2-40000000000-22000000000-440000000000000000000000002-200000000000
χ724-4-44-24-442-424-4-2-222-200-4-22400000000−2i32i32-200000000000000000000000000−2i32i300000000000000000000
χ734-4-44-24-442-424-4-2-222-200-4-224000000002i3−2i32-2000000000000000000000000002i3−2i300000000000000000000
χ744-4-44-2-2-44222-22-21-1-11002-22-2−2i32i32i3−2i30000−2i32i3-1100i3−i3−i3i300000000000000000000i3−i33-3000000000000000000
χ754-4-44-2-2-44222-22-21-1-11002-22-2−2i32i32i3−2i300002i3−2i3-1100i3−i3−i3i300000000000000000000−i3i3-33000000000000000000
χ764-4-44-2-2-44222-22-21-1-11002-22-22i3−2i3−2i32i30000−2i32i3-1100−i3i3i3−i300000000000000000000i3−i3-33000000000000000000
χ774-4-44-2-2-44222-22-21-1-11002-22-22i3−2i3−2i32i300002i3−2i3-1100−i3i3i3−i300000000000000000000−i3i33-3000000000000000000
χ788888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000
χ7988-8-8-4-400-4444-4422-2-242−420000−22−22222200000000−222222−2−2000000000000000000000000000000000000000000
χ8088-8-8-4-400-4444-4422-2-2−424200002222−22−220000000022−22−2−222000000000000000000000000000000000000000000
χ818-88-8-480048-4-8-84-44-44000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-4004-4-44442-22-20000002i6−2i62i6−2i60000000000−i6i6−i6i6000000000000000000000000000000000000000000
χ838-88-8-4-4004-4-44442-22-2000000−2i62i6−2i62i60000000000i6−i6i6−i6000000000000000000000000000000000000000000
χ848-8-88-4-48-8444-44-42-2-2200-44-4400000000002-2000000000000000000000000000000000000000000000000

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