Finite Group Databasebeta

← Group #11884343

Character table — Group #11884343

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444444466888888888888121212121212121212121212121212121216161616161616242424242424242424363636364848487272
order12223344666666366688121212122424242444441212121224242424242422244668812121212242424241212121212121224466812242422246121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-11111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1
χ3111111111111111111111111111111-1-1-1-111111111111-1-11111-1-1111111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-111-1
χ4111111111111111111111111111111-1-1-1-1111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11
χ51111111111111111111111111111-1-1111111111111-11111-1-1-1-111-1-1-1-1-1-11111111-1-11111111-1-1-1-1-1-11-1-1
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
χ71111111111111111111111111111-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-111111-11
χ81111111111111111111111111111-1-1-1-1-1-111111111-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-111-11-1
χ9111111111111111111-1-11111-1-1-1-1111-11111-1-1-1-1-1-11111111-1-11111-1-1-1-11-1-111-1-11-1-111-11-1-1-1-1111-1-11-1
χ10111111111111111111-1-11111-1-1-1-1111-11111-1-1-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-11-1-111-1-11-11-1-11-11111-1-11-11-11
χ11111111111111111111-1-11111-1-1-1-111-11-1-111-1-1-1-1-1-1111-1-111-1-1-1-111-1-1-1-1-111-1-111-11-1111-111-1-1-1-1-11-111
χ12111111111111111111-1-11111-1-1-1-111-11-1-111-1-1-1-1-1-11-1-11111-1-11111-1-1-1-1-111-1-111-111-1-1-11-1-11111-111-1-1
χ13111111111111111111-1-11111-1-1-1-1-1-11-11111-1-1-1-1-1-1-11111-1-11111-1-111111-1-111-1-1-11-111-11-1-111-1-1-11-1-11
χ14111111111111111111-1-11111-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-111-1-1-111-1-11-111-1-111-1111-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-111-1-1111-1-1111-11111111-1-1-1-1
χ16111111111111111111-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-111-1-11111-1-11111-111-1-1111-11-1-1-11-1-1-1-1-1-11-1111
χ17222222-2-2222222222200-2-2-2-20000220000-2-2000000-2002-2-2-200222200000000000000000-200002-200000
χ18222222-2-2222222222200-2-2-2-20000220000-2-2000000-200-22-2-200-2-2220000000000000000020000-2200000
χ19222222-2-2222222222200-2-2-2-20000-2-20000-2-20000002002-2220022-2-200000000000000000-20000-2200000
χ20222222-2-2222222222200-2-2-2-20000-2-20000-2-2000000200-222200-2-2-2-200000000000000000200002-200000
χ2122222-122-122-1-12-1-1-1-122-12-12-1-1-1-1222222-1-122-1-1-1-120000-1-12200-1-1-1-1-1-1-1-12-1-1-1-12200000000000-1-1000
χ2222222-122-122-1-12-1-1-1-122-12-12-1-1-1-122-2-2-2-2-1-122-1-1-1-120000-1-12200-1-1-1-1-1-111-21111-2-20000000000011000
χ2322222-122-122-1-12-1-1-1-122-12-12-1-1-1-1-2-22222-1-122-1-1-1-1-2000011-2-200111111-1-12-1-1-1-1-2-20000000000011000
χ2422222-122-122-1-12-1-1-1-122-12-12-1-1-1-1-2-2-2-2-2-2-1-122-1-1-1-1-2000011-2-20011111111-211112200000000000-1-1000
χ2522222-122-122-1-12-1-1-1-1-2-2-12-121111222-222-1-1-2-2111120000-1-1-2-200-1-11111-11-2-1-1112-200000000000-11000
χ2622222-122-122-1-12-1-1-1-1-2-2-12-12111122-22-2-2-1-1-2-2111120000-1-1-2-200-1-111111-1211-1-1-22000000000001-1000
χ2722222-122-122-1-12-1-1-1-1-2-2-12-121111-2-22-222-1-1-2-21111-2000011220011-1-1-1-1-11-2-1-111-22000000000001-1000
χ2822222-122-122-1-12-1-1-1-1-2-2-12-121111-2-2-22-2-2-1-1-2-21111-2000011220011-1-1-1-11-1211-1-12-200000000000-11000
χ292222-12222-1-122-1-1-1-1-1222-12-122220022-1-1-1-1-1-1-1-1-1-1022220000-1-100000022-1-1-1-1-1002-1-12-1-1-1000000-100
χ302222-12222-1-122-1-1-1-1-1222-12-122220022-1-1-1-1-1-1-1-1-1-10-2-2-2-200001100000022-1-1-1-1-100-211-2111000000100
χ312222-12222-1-122-1-1-1-1-1222-12-1222200-2-211-1-1-1-1-1-1-1-1022-2-2000011000000-2-211111002-1-1-2111000000-100
χ322222-12222-1-122-1-1-1-1-1222-12-1222200-2-211-1-1-1-1-1-1-1-10-2-2220000-1-1000000-2-21111100-2112-1-1-1000000100
χ332222-12222-1-122-1-1-1-1-1-2-22-12-1-2-2-2-2002-2-1-1-1-1111111022220000-1-10000002-21-1-11100-2-1-1-2-111000000100
χ342222-12222-1-122-1-1-1-1-1-2-22-12-1-2-2-2-2002-2-1-1-1-11111110-2-2-2-20000110000002-21-1-1110021121-1-1000000-100
χ352222-12222-1-122-1-1-1-1-1-2-22-12-1-2-2-2-200-2211-1-1111111022-2-2000011000000-22-111-1-100-2-1-121-1-1000000100
χ362222-12222-1-122-1-1-1-1-1-2-22-12-1-2-2-2-200-2211-1-11111110-2-2220000-1-1000000-22-111-1-100211-2-111000000-100
χ372-2-22222-2-2-2-22-222-2-2200-2-2220000000000-2200000002-200002-2000022-2-200000000002-200002-20000000
χ382-2-22222-2-2-2-22-222-2-2200-2-2220000000000-2200000002-20000-220000-2-22200000000002-20000-220000000
χ392-2-22222-2-2-2-22-222-2-2200-2-2220000000000-220000000-2200002-2000022-2-20000000000-220000-220000000
χ402-2-22222-2-2-2-22-222-2-2200-2-2220000000000-220000000-220000-220000-2-2220000000000-2200002-20000000
χ4144444-2-4-4-244-2-24-2-2-2-2002-42-4000044000022000000-40000220000-2-200000000000000000000000000000
χ4244444-2-4-4-244-2-24-2-2-2-2002-42-40000-4-400002200000040000-2-200002200000000000000000000000000000
χ434444-24-4-44-2-244-2-2-2-2-200-42-420000000000220000000004-40000-2-20000000000000000000200000000000
χ444444-24-4-44-2-244-2-2-2-2-200-42-42000000000022000000000-440000220000000000000000000-200000000000
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
χ4944-4-444004-44-4-4-44-44-4−2i22i20000−2i2−2i22i22i200000000−2i22i2−2i2−2i22i22i2000000000000000000000000000000000000000000
χ5044-4-444004-44-4-4-44-44-42i2−2i200002i22i2−2i2−2i2000000002i2−2i22i22i2−2i2−2i2000000000000000000000000000000000000000000
χ5144-4-44-200-2-4422-4-22-22−2i22i20000i2i2−i2−i200000000−2i22i2i2i2−i2−i200000−2i32i30000006−66−60000000000000000000000000
χ5244-4-44-200-2-4422-4-22-22−2i22i20000i2i2−i2−i200000000−2i22i2i2i2−i2−i2000002i3−2i3000000−66−660000000000000000000000000
χ5344-4-44-200-2-4422-4-22-222i2−2i20000−i2−i2i2i2000000002i2−2i2−i2−i2i2i200000−2i32i3000000−66−660000000000000000000000000
χ5444-4-44-200-2-4422-4-22-222i2−2i20000−i2−i2i2i2000000002i2−2i2−i2−i2i2i2000002i3−2i30000006−66−60000000000000000000000000
χ5544-4-4-240042-2-4-42-22-22−2i22i20000−2i2−2i22i22i200000000i2−i2i2i2−i2−i2000000000−2i32i3000000000000000000006−6000000000
χ5644-4-4-240042-2-4-42-22-22−2i22i20000−2i2−2i22i22i200000000i2−i2i2i2−i2−i20000000002i3−2i300000000000000000000−66000000000
χ5744-4-4-240042-2-4-42-22-222i2−2i200002i22i2−2i2−2i200000000−i2i2−i2−i2i2i2000000000−2i32i300000000000000000000−66000000000
χ5844-4-4-240042-2-4-42-22-222i2−2i200002i22i2−2i2−2i200000000−i2i2−i2−i2i2i20000000002i3−2i3000000000000000000006−6000000000
χ594-44-44400-44-4-44-444-4-400000000004i−4i000000000000000000000004i−4i00000000000000000000000000000
χ604-44-44400-44-4-44-444-4-40000000000−4i4i00000000000000000000000−4i4i00000000000000000000000000000
χ614-44-44-20024-42-2-4-2-222000000i6−i6i6−i64i−4i00000000i6−i6i6−i600000000000−2i2i6−6−660000000000000000000000000
χ624-44-44-20024-42-2-4-2-222000000i6−i6i6−i6−4i4i00000000i6−i6i6−i6000000000002i−2i−666−60000000000000000000000000
χ634-44-44-20024-42-2-4-2-222000000−i6i6−i6i64i−4i00000000−i6i6−i6i600000000000−2i2i−666−60000000000000000000000000
χ644-44-44-20024-42-2-4-2-222000000−i6i6−i6i6−4i4i00000000−i6i6−i6i6000000000002i−2i6−6−660000000000000000000000000
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
χ704-4-44-244-4-4224-4-2-222-200-424-200000000002-200000004-4000000000000000000000000-220000000000000
χ714-4-44-244-4-4224-4-2-222-200-424-200000000002-20000000-440000000000000000000000002-20000000000000
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
χ7988-8-8-4-400-44-44442-22-2−4i24i200002i22i2−2i2−2i2000000002i2−2i2−i2−i2i2i2000000000000000000000000000000000000000000
χ8088-8-8-4-400-44-44442-22-24i2−4i20000−2i2−2i22i22i200000000−2i22i2i2i2−i2−i2000000000000000000000000000000000000000000
χ818-88-8-4800-8-44-884-4-444000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-4004-444-4422-2-20000002i6−2i62i6−2i60000000000−i6i6−i6i6000000000000000000000000000000000000000000
χ838-88-8-4-4004-444-4422-2-2000000−2i62i6−2i62i60000000000i6−i6i6−i6000000000000000000000000000000000000000000
χ848-8-88-4-48-8444-44-42-2-220044-4-40000000000-22000000000000000000000000000000000000000000000000

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