Finite Group Databasebeta

← Group #11884340

Character table — Group #11884340

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444444466888888888888121212121212121212121212121212121216161616161616242424242424242424363636364848487272
order12223344666666366688121212122424242444246612122424242424242222466668812122424242466612121212444668122424224412121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1
χ3111111111111111111111111111111-1-1-1-111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-111-1
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
χ51111111111111111111111111111-1-1111111111111-11111-1-111-1-1-1-1-1-1-1-11111111-1-11111111-1-1-1-1-1-11-1-1
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
χ81111111111111111111111111111-1-1-1-1-1-111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-111-11-1
χ9111111111111111111-1-11111-1-1-1-1111-11111-1-1-1-1-1-1111111111-1-111-1-1-1-1111-1-1-1-11-1-111-11-1-1-1-1111-1-11-1
χ10111111111111111111-1-11111-1-1-1-1111-11111-1-1-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-1111-1-1-1-11-11-1-11-11111-1-11-11-11
χ11111111111111111111-1-11111-1-1-1-111-11-1-111-1-1-1-1-1-1111-1-111-1-1-1-111-1-1-1-1-1-1-11111-11-1111-111-1-1-1-1-11-111
χ12111111111111111111-1-11111-1-1-1-111-11-1-111-1-1-1-1-1-11-1-1111111-1-111-1-1-1-1-1-1-11111-111-1-1-11-1-11111-111-1-1
χ13111111111111111111-1-11111-1-1-1-1-1-11-11111-1-1-1-1-1-1-11111-1-11111-1-11111111-1-1-1-1-11-111-11-1-111-1-1-11-1-11
χ14111111111111111111-1-11111-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-1-1-1-111-1-11-111-1-111-1111-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-111111-1-1111-11111111-1-1-1-1
χ16111111111111111111-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-111111-11-1-1-11-1-1-1-1-1-11-1111
χ17222222-2-2222222222200-2-2-2-20000220000-2-2000000-2002-2-2-222002200000000000000000-20000-2200000
χ18222222-2-2222222222200-2-2-2-20000220000-2-2000000-200-22-2-2-2-2002200000000000000000200002-200000
χ19222222-2-2222222222200-2-2-2-20000-2-20000-2-20000002002-2222200-2-200000000000000000-200002-200000
χ20222222-2-2222222222200-2-2-2-20000-2-20000-2-2000000200-2222-2-200-2-20000000000000000020000-2200000
χ2122222-122-12-122-1-1-1-1-1222-1-1222220022-1-1-1-1-1-1-1-1-1-10222200-1-1000000002-1-12-1-1-1002-1-12-1-1-1000000-100
χ2222222-122-12-122-1-1-1-1-1222-1-1222220022-1-1-1-1-1-1-1-1-1-10-2-2-2-20011000000002-1-12-1-1-100-211-2111000000100
χ2322222-122-12-122-1-1-1-1-1222-1-12222200-2-211-1-1-1-1-1-1-1-1022-2-2001100000000-211-2111002-1-1-2111000000-100
χ2422222-122-12-122-1-1-1-1-1222-1-12222200-2-211-1-1-1-1-1-1-1-10-2-22200-1-100000000-211-211100-2112-1-1-1000000100
χ2522222-122-12-122-1-1-1-1-1-2-22-1-12-2-2-2-2002-2-1-1-1-11111110222200-1-1000000002-1-1-211100-2-1-1-2-111000000100
χ2622222-122-12-122-1-1-1-1-1-2-22-1-12-2-2-2-2002-2-1-1-1-11111110-2-2-2-20011000000002-1-1-21110021121-1-1000000-100
χ2722222-122-12-122-1-1-1-1-1-2-22-1-12-2-2-2-200-2211-1-1111111022-2-2001100000000-2112-1-1-100-2-1-121-1-1000000100
χ2822222-122-12-122-1-1-1-1-1-2-22-1-12-2-2-2-200-2211-1-11111110-2-22200-1-100000000-2112-1-1-100211-2-111000000-100
χ292222-12222-12-1-12-1-1-1-122-122-1-1-1-1-1222222-1-122-1-1-1-120000-1-10022-1-1-1-1-1-1-1-1-1-12-1-12200000000000-1-1000
χ302222-12222-12-1-12-1-1-1-122-122-1-1-1-1-122-2-2-2-2-1-122-1-1-1-120000-1-10022-1-1-1-1-1-11111-211-2-20000000000011000
χ312222-12222-12-1-12-1-1-1-122-122-1-1-1-1-1-2-22222-1-122-1-1-1-1-200001100-2-2111111-1-1-1-12-1-1-2-20000000000011000
χ322222-12222-12-1-12-1-1-1-122-122-1-1-1-1-1-2-2-2-2-2-2-1-122-1-1-1-1-200001100-2-21111111111-2112200000000000-1-1000
χ332222-12222-12-1-12-1-1-1-1-2-2-122-11111222-222-1-1-2-2111120000-1-100-2-2-1-11111-1-1-11-2112-200000000000-11000
χ342222-12222-12-1-12-1-1-1-1-2-2-122-1111122-22-2-2-1-1-2-2111120000-1-100-2-2-1-11111111-12-1-1-22000000000001-1000
χ352222-12222-12-1-12-1-1-1-1-2-2-122-11111-2-22-222-1-1-2-21111-2000011002211-1-1-1-1-1-1-11-211-22000000000001-1000
χ362222-12222-12-1-12-1-1-1-1-2-2-122-11111-2-2-22-2-2-1-1-2-21111-2000011002211-1-1-1-1111-12-1-12-200000000000-11000
χ372-2-2222-22-2-2-2-2222-22-200-22-220000000000-2200000002-20000002-20022-2-200000000002-200002-20000000
χ382-2-2222-22-2-2-2-2222-22-200-22-220000000000-2200000002-2000000-2200-2-22200000000002-20000-220000000
χ392-2-2222-22-2-2-2-2222-22-200-22-220000000000-220000000-220000002-20022-2-20000000000-220000-220000000
χ402-2-2222-22-2-2-2-2222-22-200-22-220000000000-220000000-22000000-2200-2-2220000000000-2200002-20000000
χ4144444-2-4-4-24-244-2-2-2-2-200-422-40000000000220000000004-400-2-2000000000000000000000200000000000
χ4244444-2-4-4-24-244-2-2-2-2-200-422-4000000000022000000000-440022000000000000000000000-200000000000
χ434444-24-4-44-24-2-24-2-2-2-2002-4-42000044000022000000-40000220000-2-200000000000000000000000000000
χ444444-24-4-44-24-2-24-2-2-2-2002-4-420000-4-400002200000040000-2-200002200000000000000000000000000000
χ454444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20044-2-211-2-2111100000000000000000-211-2-211000000000000000000
χ464444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200-4-42211-2-21111000000000000000002-1-122-1-1000000000000000000
χ474444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222004-4-2-21122-1-1-1-100000000000000000-21122-1-1000000000000000000
χ484444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200-44221122-1-1-1-1000000000000000002-1-1-2-211000000000000000000
χ4944-4-44400-444-4-4-44-4-4400000000004i−4i000000000000000000000004i−4i00000000000000000000000000000
χ5044-4-44400-444-4-4-44-4-440000000000−4i4i00000000000000000000000−4i4i00000000000000000000000000000
χ5144-4-4-2400-4-2422-4-222-2000000i6i6−i6−i64i−4i00000000i6i6−i6−i600000000000−2i2i6−66−60000000000000000000000000
χ5244-4-4-2400-4-2422-4-222-2000000i6i6−i6−i6−4i4i00000000i6i6−i6−i6000000000002i−2i−66−660000000000000000000000000
χ5344-4-4-2400-4-2422-4-222-2000000−i6−i6i6i64i−4i00000000−i6−i6i6i600000000000−2i2i−66−660000000000000000000000000
χ5444-4-4-2400-4-2422-4-222-2000000−i6−i6i6i6−4i4i00000000−i6−i6i6i6000000000002i−2i6−66−60000000000000000000000000
χ554-44-444004-4-44-4-444-4-4−2i22i20000−2i22i2−2i22i200000000−2i22i2−2i22i2−2i22i2000000000000000000000000000000000000000000
χ564-44-444004-4-44-4-444-4-42i2−2i200002i2−2i22i2−2i2000000002i2−2i22i2−2i22i2−2i2000000000000000000000000000000000000000000
χ574-44-44-200-2-424-42-2-222−2i22i20000−2i22i2−2i22i200000000i2−i2i2−i2i2−i20000000−2i32i300000000000000000000006−6000000000
χ584-44-44-200-2-424-42-2-222−2i22i20000−2i22i2−2i22i200000000i2−i2i2−i2i2−i200000002i3−2i30000000000000000000000−66000000000
χ594-44-44-200-2-424-42-2-2222i2−2i200002i2−2i22i2−2i200000000−i2i2−i2i2−i2i20000000−2i32i30000000000000000000000−66000000000
χ604-44-44-200-2-424-42-2-2222i2−2i200002i2−2i22i2−2i200000000−i2i2−i2i2−i2i200000002i3−2i300000000000000000000006−6000000000
χ614-44-4-240042-4-22-4-2-222−2i22i20000i2−i2i2−i200000000−2i22i2i2−i2i2−i200000−2i32i30000006−6−660000000000000000000000000
χ624-44-4-240042-4-22-4-2-222−2i22i20000i2−i2i2−i200000000−2i22i2i2−i2i2−i2000002i3−2i3000000−666−60000000000000000000000000
χ634-44-4-240042-4-22-4-2-2222i2−2i20000−i2i2−i2i2000000002i2−2i2−i2i2−i2i200000−2i32i3000000−666−60000000000000000000000000
χ644-44-4-240042-4-22-4-2-2222i2−2i20000−i2i2−i2i2000000002i2−2i2−i2i2−i2i2000002i3−2i30000006−6−660000000000000000000000000
χ654-4-44444-4-4-4-4-4444-44-4004-44-400000000004-4000000000000000000000000000000000000000000000000
χ664-4-444-24-42-42-44-2-22-220042-2-400000000−2i32i3-22000000000000000000000000−2i32i30000000000000000000000
χ674-4-444-24-42-42-44-2-22-220042-2-4000000002i3−2i3-220000000000000000000000002i3−2i30000000000000000000000
χ684-4-444-2-442-42-44-2-22-2200-4-22400000000002-200000004-4000000000000000000000000-220000000000000
χ694-4-444-2-442-42-44-2-22-2200-4-22400000000002-20000000-440000000000000000000000002-20000000000000
χ704-4-44-244-4-42-42-24-22-2200-2-44223−23−2323000000-220023−23−2323000000000000000000000000000000000000000000
χ714-4-44-244-4-42-42-24-22-2200-2-442−232323−23000000-2200−232323−23000000000000000000000000000000000000000000
χ724-4-44-24-44-42-42-24-22-220024-4-200000000002-20000000000000004-400-2-2220000000000000000000000000
χ734-4-44-24-44-42-42-24-22-220024-4-200000000002-2000000000000000-440022-2-20000000000000000000000000
χ744-4-44-2-24-42222-2-21-11-100-22-2223−23−23230000−2i32i31-100−333−3000000000000000000i3−i3003i−3i000000000000000000
χ754-4-44-2-24-42222-2-21-11-100-22-2223−23−232300002i3−2i31-100−333−3000000000000000000−i3i300−3i3i000000000000000000
χ764-4-44-2-24-42222-2-21-11-100-22-22−232323−230000−2i32i31-1003−3−33000000000000000000i3−i300−3i3i000000000000000000
χ774-4-44-2-24-42222-2-21-11-100-22-22−232323−2300002i3−2i31-1003−3−33000000000000000000−i3i3003i−3i000000000000000000
χ788888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000
χ7988-8-88-40048-4-8-84-444-4000000000000000000000000000000000000000000000000000000000000000000
χ8088-8-8-4-4004-4-44442-2-220000002i62i6−2i6−2i60000000000−i6−i6i6i6000000000000000000000000000000000000000000
χ8188-8-8-4-4004-4-44442-2-22000000−2i6−2i62i62i60000000000i6i6−i6−i6000000000000000000000000000000000000000000
χ828-88-8-4-400-444-44422-2-2−4i24i200002i2−2i22i2−2i2000000002i2−2i2−i2i2−i2i2000000000000000000000000000000000000000000
χ838-88-8-4-400-444-44422-2-24i2−4i20000−2i22i2−2i22i200000000−2i22i2i2−i2i2−i2000000000000000000000000000000000000000000
χ848-8-88-4-4-884444-4-42-22-2004-44-40000000000-22000000000000000000000000000000000000000000000000

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