Finite Group Databasebeta

← Group #11889158

Character table — Group #11889158

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444444466888888888888121212121212121212121212121212121216161616161616242424242424242424363636364848487272
order12223344666666366688121212122424242422441212121224242424242422444668812121212242424241212121212121224466812242424446121228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-11-1111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1
χ3111111111111111111111111111111-1-1-1-11111111111-11-1111111-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-111-1
χ4111111111111111111111111111111-1-1-1-111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11
χ51111111111111111111111111111-1-1111111111111111-11-1-1-1-1-1-111-1-1-1-11111111-1-11111111-1-1-1-1-1-11-1-1
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
χ71111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-1111-11
χ81111111111111111111111111111-1-1-1-1-1-111111111-1-11-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-11111-11-1
χ9111111111111111111-1-11111-1-1-1-1111-1-1-111-1-1-1-1-1-111-11-111-1-111-1-1-1-1-1-11-1111-1-1-11-1111-111-1-1-1-1-11-111
χ10111111111111111111-1-11111-1-1-1-1111-1-1-111-1-1-1-1-1-1-1-111111-1-11111-1-1-1-11-1111-1-1-111-1-1-11-1-11111-111-1-1
χ11111111111111111111-1-11111-1-1-1-111-111111-1-1-1-1-1-11111111-1-11111-1-1-1-1-11-1-1-1111-1-111-11-1-111-1-11-1-11-1
χ12111111111111111111-1-11111-1-1-1-111-111111-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-11-1-1-1111-11-1-11-111-1-1111-11-11
χ13111111111111111111-1-11111-1-1-1-1-1-11-1-1-111-1-1-1-1-1-111-1-1-1-1-111-1-1-1-111111-1111-1-11-1-1111-11111111-1-1-1-1
χ14111111111111111111-1-11111-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1-1-11-11-1-111-1-11111111-1111-1-11-11-1-1-11-1-1-1-1-1-11-1111
χ15111111111111111111-1-11111-1-1-1-1-1-1-111111-1-1-1-1-1-1111-11-1-111-1-1111111-11-1-1-111-11-111-11-1-1-1-111-11-1-11
χ16111111111111111111-1-11111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-1-111-111-1-11-11111-1-1-1111-1
χ17222222-2-2222222222200-2-2-2-20000220000-2-2000000002-2-22200-2-2-2-200000000000000000200-220000000
χ18222222-2-2222222222200-2-2-2-20000220000-2-200000000-2-222200-2-22200000000000000000-2002-20000000
χ19222222-2-2222222222200-2-2-2-20000-2-20000-2-20000000022-2-2-20022-2-2000000000000000002002-20000000
χ20222222-2-2222222222200-2-2-2-20000-2-20000-2-200000000-222-2-200222200000000000000000-200-220000000
χ2122222-1222-1-12-12-1-1-1-1222-12-1-1-1-1-1222222-1-122-1-1-1-100020-1-122-1-100-1-1-1-1-1-12-1-1-1-12200000000000-1-1000
χ2222222-1222-1-12-12-1-1-1-1222-12-1-1-1-1-122-2-2-2-2-1-122-1-1-1-100020-1-122-1-100-1-1-1-111-21111-2-20000000000011000
χ2322222-1222-1-12-12-1-1-1-1222-12-1-1-1-1-1-2-22222-1-122-1-1-1-1000-2011-2-211001111-1-12-1-1-1-1-2-20000000000011000
χ2422222-1222-1-12-12-1-1-1-1222-12-1-1-1-1-1-2-2-2-2-2-2-1-122-1-1-1-1000-2011-2-21100111111-211112200000000000-1-1000
χ2522222-1222-1-12-12-1-1-1-1-2-22-12-11111222-2-2-2-1-1-2-2111100020-1-1-2-2-1-1001111-112-1-111-22000000000001-1000
χ2622222-1222-1-12-12-1-1-1-1-2-22-12-1111122-2222-1-1-2-2111100020-1-1-2-2-1-10011111-1-211-1-12-200000000000-11000
χ2722222-1222-1-12-12-1-1-1-1-2-22-12-11111-2-22-2-2-2-1-1-2-21111000-2011221100-1-1-1-1-112-1-1112-200000000000-11000
χ2822222-1222-1-12-12-1-1-1-1-2-22-12-11111-2-2-2222-1-1-2-21111000-2011221100-1-1-1-11-1-211-1-1-22000000000001-1000
χ292222-1222-122-12-1-1-1-1-122-12-1222220022-1-1-1-1-1-1-1-1-1-122202000000-1-1000022-1-1-1-1-1002-1-12-1-1-1000000-100
χ302222-1222-122-12-1-1-1-1-122-12-1222220022-1-1-1-1-1-1-1-1-1-1-2-2-20-200000011000022-1-1-1-1-100-211-2111000000100
χ312222-1222-122-12-1-1-1-1-122-12-12222200-2-211-1-1-1-1-1-1-1-122-20-2000000110000-2-211111002-1-1-2111000000-100
χ322222-1222-122-12-1-1-1-1-122-12-12222200-2-211-1-1-1-1-1-1-1-1-2-2202000000-1-10000-2-21111100-2112-1-1-1000000100
χ332222-1222-122-12-1-1-1-1-1-2-2-12-12-2-2-2-2002-211-1-111111122-20-20000001100002-2-1-1-11100-2-1-121-1-1000000100
χ342222-1222-122-12-1-1-1-1-1-2-2-12-12-2-2-2-2002-211-1-1111111-2-2202000000-1-100002-2-1-1-11100211-2-111000000-100
χ352222-1222-122-12-1-1-1-1-1-2-2-12-12-2-2-2-200-22-1-1-1-111111122202000000-1-10000-22111-1-100-2-1-1-2-111000000100
χ362222-1222-122-12-1-1-1-1-1-2-2-12-12-2-2-2-200-22-1-1-1-1111111-2-2-20-2000000110000-22111-1-10021121-1-1000000-100
χ372-22-222-222-2-2-22-222-2-20022-2-200000000002-20000002-2000002i−2i00002i2i−2i−2i00000000002-20000002i−2i00000
χ382-22-222-222-2-2-22-222-2-20022-2-200000000002-20000002-200000−2i2i0000−2i−2i2i2i00000000002-2000000−2i2i00000
χ392-22-222-222-2-2-22-222-2-20022-2-200000000002-2000000-22000002i−2i00002i2i−2i−2i0000000000-22000000−2i2i00000
χ402-22-222-222-2-2-22-222-2-20022-2-200000000002-2000000-2200000−2i2i0000−2i−2i2i2i0000000000-220000002i−2i00000
χ4144444-2-4-44-2-24-24-2-2-2-200-42-42000044000022000000000-40-2-200220000000000000000000000000000000
χ4244444-2-4-44-2-24-24-2-2-2-200-42-420000-4-4000022000000000402200-2-20000000000000000000000000000000
χ434444-24-4-4-244-24-2-2-2-2-2002-42-40000000000220000000040-40000002200000000000000000-200000000000
χ444444-24-4-4-244-24-2-2-2-2-2002-42-400000000002200000000-404000000-2-200000000000000000200000000000
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
χ474444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222004-4221122-1-1-1-100000000000000000-22-211-1-1000000000000000000
χ484444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200-44-2-21122-1-1-1-1000000000000000002-22-1-111000000000000000000
χ4944-4-44400-44-44-4-44-44-4−2i22i20000−2i2−2i22i22i200000000−2i22i2−2i2−2i22i22i2000000000000000000000000000000000000000000
χ5044-4-44400-44-44-4-44-44-42i2−2i200002i22i2−2i2−2i2000000002i2−2i22i22i2−2i2−2i2000000000000000000000000000000000000000000
χ5144-4-44-200-4-2242-4-22-22−2i22i20000i2i2−i2−i200000000−2i22i2i2i2−i2−i200000000023−2300i6−i6i6−i60000000000000000000000000
χ5244-4-44-200-4-2242-4-22-22−2i22i20000i2i2−i2−i200000000−2i22i2i2i2−i2−i2000000000−232300−i6i6−i6i60000000000000000000000000
χ5344-4-44-200-4-2242-4-22-222i2−2i20000−i2−i2i2i2000000002i2−2i2−i2−i2i2i200000000023−2300−i6i6−i6i60000000000000000000000000
χ5444-4-44-200-4-2242-4-22-222i2−2i20000−i2−i2i2i2000000002i2−2i2−i2−i2i2i2000000000−232300i6−i6i6−i60000000000000000000000000
χ5544-4-4-240024-4-2-42-22-22−2i22i20000−2i2−2i22i22i200000000i2−i2i2i2−i2−i20000000000023−23000000000000000000i6−i6000000000
χ5644-4-4-240024-4-2-42-22-22−2i22i20000−2i2−2i22i22i200000000i2−i2i2i2−i2−i200000000000−2323000000000000000000−i6i6000000000
χ5744-4-4-240024-4-2-42-22-222i2−2i200002i22i2−2i2−2i200000000−i2i2−i2−i2i2i20000000000023−23000000000000000000−i6i6000000000
χ5844-4-4-240024-4-2-42-22-222i2−2i200002i22i2−2i2−2i200000000−i2i2−i2−i2i2i200000000000−2323000000000000000000i6−i6000000000
χ594-44-4444-44-4-4-44-444-4-400-4-4440000000000-44000000000000000000000000000000000000000000000000
χ604-44-44-24-4422-4-2-4-2-22200-424-2−2i32i3−2i32i30000002-200−2i32i3−2i32i3000000000000000000000000000000000000000000
χ614-44-44-24-4422-4-2-4-2-22200-424-22i3−2i32i3−2i30000002-2002i3−2i32i3−2i3000000000000000000000000000000000000000000
χ624-44-44-2-44422-4-2-4-2-222004-2-420000000000-2200000000000004i−4i0000−2i−2i2i2i0000000000000000000000000
χ634-44-44-2-44422-4-2-4-2-222004-2-420000000000-220000000000000−4i4i00002i2i−2i−2i0000000000000000000000000
χ644-44-4-244-4-2-4-4242-2-222002-4-240000000023−232-2000000000000000000000000000023−23000000000000000000
χ654-44-4-244-4-2-4-4242-2-222002-4-2400000000−23232-20000000000000000000000000000−2323000000000000000000
χ664-44-4-24-44-2-4-4242-2-22200-242-40000000000-220000004-40000000000000000000000000-220000000000000
χ674-44-4-24-44-2-4-4242-2-22200-242-40000000000-22000000-4400000000000000000000000002-20000000000000
χ684-44-4-2-24-4-2222-2211-1-10022-2-2−2i32i3−2i32i3000023−23-1100i3−i3i3−i3000000000000000000003i−3i−33000000000000000000
χ694-44-4-2-24-4-2222-2211-1-10022-2-2−2i32i3−2i32i30000−2323-1100i3−i3i3−i300000000000000000000−3i3i3−3000000000000000000
χ704-44-4-2-24-4-2222-2211-1-10022-2-22i3−2i32i3−2i3000023−23-1100−i3i3−i3i300000000000000000000−3i3i−33000000000000000000
χ714-44-4-2-24-4-2222-2211-1-10022-2-22i3−2i32i3−2i30000−2323-1100−i3i3−i3i3000000000000000000003i−3i3−3000000000000000000
χ724-4-444400-4-44-4-444-4-4400000000004-4000000000000000004-400000000000000000000000000000000000
χ734-4-444400-4-44-4-444-4-440000000000-4400000000000000000-4400000000000000000000000000000000000
χ744-4-444-200-42-2-424-222-20000006−6−664-4000000006−6−6600000-220000006−6−660000000000000000000000000
χ754-4-444-200-42-2-424-222-20000006−6−66-44000000006−6−66000002-2000000−666−60000000000000000000000000
χ764-4-444-200-42-2-424-222-2000000−666−64-400000000−666−600000-22000000−666−60000000000000000000000000
χ774-4-444-200-42-2-424-222-2000000−666−6-4400000000−666−6000002-20000006−6−660000000000000000000000000
χ788888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000
χ7988-8-8-4-4004-44-4442-22-2−4i24i200002i22i2−2i2−2i2000000002i2−2i2−i2−i2i2i2000000000000000000000000000000000000000000
χ8088-8-8-4-4004-44-4442-22-24i2−4i20000−2i2−2i22i22i200000000−2i22i2i2i2−i2−i2000000000000000000000000000000000000000000
χ818-88-8-4-4-88-4444-4422-2-200-4-44400000000002-2000000000000000000000000000000000000000000000000
χ828-8-88-48004-884-8-4-444-4000000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-40044-444-42-2-2200000026−26−26260000000000−666−6000000000000000000000000000000000000000000
χ848-8-88-4-40044-444-42-2-22000000−262626−2600000000006−6−66000000000000000000000000000000000000000000

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