Finite Group Databasebeta

← Group #11897583

Character table — Group #11897583

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444444466888888888888121212121212121212121212121212121216161616161616242424242424242424363636364848487272
order12223344666666366688121212122424242444441212121224242424242422444881212121212122424242412121212121212444668122424224412121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-11-1-111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1
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
χ4111111111111111111111111111111-1-1-1-111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11
χ51111111111111111111111111111-1-111111111111111-111-1-111-1-1-1-1-1-1-1-11111111-1-11111111-1-1-1-1-1-11-1-1
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
χ71111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-111111-11
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
χ9111111111111111111-1-11111-1-1-1-1111-11111-1-1-1-1-1-111111-1-1111111-1-1-1-11-1-111-1-11-1-111-11-1-1-1-1111-1-11-1
χ10111111111111111111-1-11111-1-1-1-1111-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-11-1-111-1-11-11-1-11-11111-1-11-11-11
χ11111111111111111111-1-11111-1-1-1-111-11-1-111-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1-111-1-111-11-1111-111-1-1-1-1-11-111
χ12111111111111111111-1-11111-1-1-1-111-11-1-111-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-1-111-1-111-111-1-1-11-1-11111-111-1-1
χ13111111111111111111-1-11111-1-1-1-1-1-11-11111-1-1-1-1-1-111-1111111-1-1-1-111111-1-111-1-1-11-111-11-1-111-1-1-11-1-11
χ14111111111111111111-1-11111-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111-1-111-1-1-111-1-11-111-1-111-1111-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-111-1-1-111-1-1-1-1-1-11111-111-1-1111-1-1111-11111111-1-1-1-1
χ16111111111111111111-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-111-1-1111-11-1-1-11-1-1-1-1-1-11-1111
χ17222222-2-2222222222200-2-2-2-20000220000-2-200000000-22-2002222-2-200000000000000000-200002-200000
χ18222222-2-2222222222200-2-2-2-20000220000-2-200000000-2-2200-2-222-2-20000000000000000020000-2200000
χ19222222-2-2222222222200-2-2-2-20000-2-20000-2-20000000022-20022-2-22200000000000000000-20000-2200000
χ20222222-2-2222222222200-2-2-2-20000-2-20000-2-2000000002-2200-2-2-2-22200000000000000000200002-200000
χ2122222-1222-1-122-1-1-1-1-122-122-122220022-1-1-1-1-1-1-1-1-1-12202200-1-10000000022-1-1-1-1-1002-1-12-1-1-1000000-100
χ2222222-1222-1-122-1-1-1-1-122-122-122220022-1-1-1-1-1-1-1-1-1-1-2-20-2-200110000000022-1-1-1-1-100-211-2111000000100
χ2322222-1222-1-122-1-1-1-1-122-122-1222200-2-211-1-1-1-1-1-1-1-1220-2-2001100000000-2-211111002-1-1-2111000000-100
χ2422222-1222-1-122-1-1-1-1-122-122-1222200-2-211-1-1-1-1-1-1-1-1-2-202200-1-100000000-2-21111100-2112-1-1-1000000100
χ2522222-1222-1-122-1-1-1-1-1-2-2-122-1-2-2-2-2002-2-1-1-1-11111112202200-1-1000000002-21-1-11100-2-1-1-2-111000000100
χ2622222-1222-1-122-1-1-1-1-1-2-2-122-1-2-2-2-2002-2-1-1-1-1111111-2-20-2-20011000000002-21-1-1110021121-1-1000000-100
χ2722222-1222-1-122-1-1-1-1-1-2-2-122-1-2-2-2-200-2211-1-1111111220-2-2001100000000-22-111-1-100-2-1-121-1-1000000100
χ2822222-1222-1-122-1-1-1-1-1-2-2-122-1-2-2-2-200-2211-1-1111111-2-202200-1-100000000-22-111-1-100211-2-111000000-100
χ292222-1222-122-1-12-1-1-1-1222-1-12-1-1-1-1222222-1-122-1-1-1-1002002200-1-1-1-1-1-1-1-1-1-12-1-1-1-12200000000000-1-1000
χ302222-1222-122-1-12-1-1-1-1222-1-12-1-1-1-122-2-2-2-2-1-122-1-1-1-1002002200-1-1-1-1-1-1-1-111-21111-2-20000000000011000
χ312222-1222-122-1-12-1-1-1-1222-1-12-1-1-1-1-2-22222-1-122-1-1-1-100-200-2-20011111111-1-12-1-1-1-1-2-20000000000011000
χ322222-1222-122-1-12-1-1-1-1222-1-12-1-1-1-1-2-2-2-2-2-2-1-122-1-1-1-100-200-2-2001111111111-211112200000000000-1-1000
χ332222-1222-122-1-12-1-1-1-1-2-22-1-121111222-222-1-1-2-2111100200-2-200-1-1-1-11111-11-2-1-1112-200000000000-11000
χ342222-1222-122-1-12-1-1-1-1-2-22-1-12111122-22-2-2-1-1-2-2111100200-2-200-1-1-1-111111-1211-1-1-22000000000001-1000
χ352222-1222-122-1-12-1-1-1-1-2-22-1-121111-2-22-222-1-1-2-2111100-20022001111-1-1-1-1-11-2-1-111-22000000000001-1000
χ362222-1222-122-1-12-1-1-1-1-2-22-1-121111-2-2-22-2-2-1-1-2-2111100-20022001111-1-1-1-11-1211-1-12-200000000000-11000
χ3722-2-2222-222-2-2-2-222-2-2002-22-200000000002-20000002-20002-200000022-2-200000000002-200002-20000000
χ3822-2-2222-222-2-2-2-222-2-2002-22-200000000002-20000002-2000-22000000-2-22200000000002-20000-220000000
χ3922-2-2222-222-2-2-2-222-2-2002-22-200000000002-2000000-220002-200000022-2-20000000000-220000-220000000
χ4022-2-2222-222-2-2-2-222-2-2002-22-200000000002-2000000-22000-22000000-2-2220000000000-2200002-20000000
χ4144444-2-4-44-2-244-2-2-2-2-2002-4-420000000000220000000004-400-2-2000000000000000000000200000000000
χ4244444-2-4-44-2-244-2-2-2-2-2002-4-42000000000022000000000-440022000000000000000000000-200000000000
χ434444-24-4-4-244-2-24-2-2-2-200-422-400004400002200000000-4000000-2-22200000000000000000000000000000
χ444444-24-4-4-244-2-24-2-2-2-200-422-40000-4-400002200000000400000022-2-200000000000000000000000000000
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
χ4944-4-444-4444-4-4-4-444-4-400-44-440000000000-44000000000000000000000000000000000000000000000000
χ5044-4-44-24-44-22-4-42-2-22200-2-4420000000000-220000004-40000000000000000000000000-220000000000000
χ5144-4-44-24-44-22-4-42-2-22200-2-4420000000000-22000000-4400000000000000000000000002-20000000000000
χ5244-4-44-2-444-22-4-42-2-2220024-4-20000000023−232-20000000000000000000000000023−2300000000000000000000
χ5344-4-44-2-444-22-4-42-2-2220024-4-200000000−23232-200000000000000000000000000−232300000000000000000000
χ5444-4-4-244-4-24-422-4-2-2220042-2-40000000000-22000000000004-4000000-2-2220000000000000000000000000
χ5544-4-4-244-4-24-422-4-2-2220042-2-40000000000-2200000000000-4400000022-2-20000000000000000000000000
χ5644-4-4-24-44-24-422-4-2-22200-4-224−2i3−2i32i32i30000002-200−2i3−2i32i32i3000000000000000000000000000000000000000000
χ5744-4-4-24-44-24-422-4-2-22200-4-2242i32i3−2i3−2i30000002-2002i32i3−2i3−2i3000000000000000000000000000000000000000000
χ5844-4-4-2-2-44-2-2222211-1-1002-22-2−2i3−2i32i32i3000023−23-1100i3i3−i3−i300000000000000000000−333i−3i000000000000000000
χ5944-4-4-2-2-44-2-2222211-1-1002-22-2−2i3−2i32i32i30000−2323-1100i3i3−i3−i3000000000000000000003−3−3i3i000000000000000000
χ6044-4-4-2-2-44-2-2222211-1-1002-22-22i32i3−2i3−2i3000023−23-1100−i3−i3i3i300000000000000000000−33−3i3i000000000000000000
χ6144-4-4-2-2-44-2-2222211-1-1002-22-22i32i3−2i3−2i30000−2323-1100−i3−i3i3i3000000000000000000003−33i−3i000000000000000000
χ624-44-44400-4-444-4-44-44-4−2i22i20000−2i22i2−2i22i200000000−2i22i2−2i22i2−2i22i2000000000000000000000000000000000000000000
χ634-44-44400-4-444-4-44-44-42i2−2i200002i2−2i22i2−2i2000000002i2−2i22i2−2i22i2−2i2000000000000000000000000000000000000000000
χ644-44-44-200-42-24-42-22-22−2i22i20000−2i22i2−2i22i200000000i2−i2i2−i2i2−i20000000−2i32i300000000000000000000006−6000000000
χ654-44-44-200-42-24-42-22-22−2i22i20000−2i22i2−2i22i200000000i2−i2i2−i2i2−i200000002i3−2i30000000000000000000000−66000000000
χ664-44-44-200-42-24-42-22-222i2−2i200002i2−2i22i2−2i200000000−i2i2−i2i2−i2i20000000−2i32i30000000000000000000000−66000000000
χ674-44-44-200-42-24-42-22-222i2−2i200002i2−2i22i2−2i200000000−i2i2−i2i2−i2i200000002i3−2i300000000000000000000006−6000000000
χ684-44-4-24002-44-22-4-22-22−2i22i20000i2−i2i2−i200000000−2i22i2i2−i2i2−i200000000000−2i32i36−66−60000000000000000000000000
χ694-44-4-24002-44-22-4-22-22−2i22i20000i2−i2i2−i200000000−2i22i2i2−i2i2−i2000000000002i3−2i3−66−660000000000000000000000000
χ704-44-4-24002-44-22-4-22-222i2−2i20000−i2i2−i2i2000000002i2−2i2−i2i2−i2i200000000000−2i32i3−66−660000000000000000000000000
χ714-44-4-24002-44-22-4-22-222i2−2i20000−i2i2−i2i2000000002i2−2i2−i2i2−i2i2000000000002i3−2i36−66−60000000000000000000000000
χ724-4-444400-4-4-4-4444-4-4400000000004-40000000000000000000004-40000000000000000000000000000000
χ734-4-444400-4-4-4-4444-4-440000000000-44000000000000000000000-440000000000000000000000000000000
χ744-4-44-24002-4-42-24-222-20000006−6−664-4000000006−6−66000000000-22006−6−660000000000000000000000000
χ754-4-44-24002-4-42-24-222-20000006−6−66-44000000006−6−660000000002-200−666−60000000000000000000000000
χ764-4-44-24002-4-42-24-222-2000000−666−64-400000000−666−6000000000-2200−666−60000000000000000000000000
χ774-4-44-24002-4-42-24-222-2000000−666−6-4400000000−666−60000000002-2006−6−660000000000000000000000000
χ788888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000
χ7988-8-8-4-48-8-4-4444422-2-200-44-4400000000002-2000000000000000000000000000000000000000000000000
χ808-88-8-4-40044-4-4442-22-2−4i24i200002i2−2i22i2−2i2000000002i2−2i2−i2i2−i2i2000000000000000000000000000000000000000000
χ818-88-8-4-40044-4-4442-22-24i2−4i20000−2i22i2−2i22i200000000−2i22i2i2−i2i2−i2000000000000000000000000000000000000000000
χ828-8-888-400-844-88-4-444-4000000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-4004444-4-42-2-2200000026−26−26260000000000−666−6000000000000000000000000000000000000000000
χ848-8-88-4-4004444-4-42-2-22000000−262626−2600000000006−6−66000000000000000000000000000000000000000000

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