Finite Group Databasebeta

← Group #11889156

Character table — Group #11889156

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444444466888888888888121212121212121212121212121212121216161616161616242424242424242424363636364848487272
order12223344666666366688121212122424242422441212121224242424242424444668812121212242424241212121212121222468121224242244661248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-11-1-1-11111-1-111111111111111-11-1-1-1-1-1-1-1-1-1-11-11-1-1
χ3111111111111111111111111111111-1-1-1-111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11
χ4111111111111111111111111111111-1-1-1-111111111-11-1111111-1-1111111-1-1-1-1-1-1-1-11-1-1-111-1-111-1-1-11-11-1
χ51111111111111111111111111111-1-11111111111111-1111-1-1-1-111-1-1-1-1-1-11111111-11-1111111-1-1-1-1-11-1-1-1
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
χ71111111111111111111111111111-1-1-1-1-1-1111111111-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-11111-1-11-111-1
χ81111111111111111111111111111-1-1-1-1-1-111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-111111-11
χ9111111111111111111-1-11111-1-1-1-1111-11111-1-1-1-1-1-11111111-1-11111-1-1-1-11-1-111-1-1-1-111-111-1-1-1-111-1-111-1
χ10111111111111111111-1-11111-1-1-1-1111-11111-1-1-1-1-1-1-11-1-1-111-1-1-1-111-1-1-1-11-1-111-1-1-111-11-1-11111-1-1-111-11
χ11111111111111111111-1-11111-1-1-1-111-11-1-111-1-1-1-1-1-1111-1-111-1-11111-1-1-1-1-111-1-11111-11-1-1-1-1-1111111-1-1-1
χ12111111111111111111-1-11111-1-1-1-111-11-1-111-1-1-1-1-1-1-11-11111-1-1-1-111-1-1-1-1-111-1-1111-1-1-111111-1-1-1-11-1-111
χ13111111111111111111-1-11111-1-1-1-1-1-11-11111-1-1-1-1-1-11-1111-1-11111-1-111111-1-111-1-11-1-11-111-1-111-1-11-1-1-11
χ14111111111111111111-1-11111-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-111-1-111-1-11-1-111-1-11111-11-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-11-11-1-1-1-11111-1-11111-111-1-111-1111-1-1-1-1-1-1-1-1-1-11111
χ16111111111111111111-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-111-1-111-1-11-1111111111-1-11-1-1
χ17222222-2-2222222222200-2-2-2-20000220000-2-20000002-2-2002200-2-2-2-20000000000000020000000-2200000
χ18222222-2-2222222222200-2-2-2-20000220000-2-2000000-2-2200220022-2-200000000000000-200000002-200000
χ19222222-2-2222222222200-2-2-2-20000-2-20000-2-200000022-200-2-200-2-22200000000000000200000002-200000
χ20222222-2-2222222222200-2-2-2-20000-2-20000-2-2000000-22200-2-200222200000000000000-20000000-2200000
χ2122222-12222-1-1-12-1-1-1-1222-1-1222220022-1-1-1-1-1-1-1-1-1-1202220000-1-100000022-1-1-1-1-1020-12-1-1-1-100000-1000
χ2222222-12222-1-1-12-1-1-1-1222-1-1222220022-1-1-1-1-1-1-1-1-1-1-20-2-2-200001100000022-1-1-1-1-10-201-21111000001000
χ2322222-12222-1-1-12-1-1-1-1222-1-12222200-2-211-1-1-1-1-1-1-1-1202-2-20000-1-1000000-2-2111110-20-1211-1-1000001000
χ2422222-12222-1-1-12-1-1-1-1222-1-12222200-2-211-1-1-1-1-1-1-1-1-20-222000011000000-2-2111110201-2-1-11100000-1000
χ2522222-12222-1-1-12-1-1-1-1-2-22-1-12-2-2-2-2002-2-1-1-1-1111111202220000-1-10000002-21-1-1110-20-1-2-1-111000001000
χ2622222-12222-1-1-12-1-1-1-1-2-22-1-12-2-2-2-2002-2-1-1-1-1111111-20-2-2-20000110000002-21-1-1110201211-1-100000-1000
χ2722222-12222-1-1-12-1-1-1-1-2-22-1-12-2-2-2-200-2211-1-1111111202-2-20000-1-1000000-22-111-1-1020-1-2111100000-1000
χ2822222-12222-1-1-12-1-1-1-1-2-22-1-12-2-2-2-200-2211-1-1111111-20-222000011000000-22-111-1-10-2012-1-1-1-1000001000
χ292222-1222-1-1222-1-1-1-1-122-122-1-1-1-1-1222222-1-122-1-1-1-102000-1-12200-1-1-1-1-1-1-1-12-1-1-1-12020000000000-10-100
χ302222-1222-1-1222-1-1-1-1-122-122-1-1-1-1-122-2-2-2-2-1-122-1-1-1-102000-1-12200-1-1-1-1-1-111-21111-20-2000000000010100
χ312222-1222-1-1222-1-1-1-1-122-122-1-1-1-1-1-2-22222-1-122-1-1-1-10-200011-2-200111111-1-12-1-1-1-1-20-2000000000010100
χ322222-1222-1-1222-1-1-1-1-122-122-1-1-1-1-1-2-2-2-2-2-2-1-122-1-1-1-10-200011-2-20011111111-211112020000000000-10-100
χ332222-1222-1-1222-1-1-1-1-1-2-2-122-11111222-222-1-1-2-2111102000-1-1-2-200-1-11111-11-2-1-111-202000000000010-100
χ342222-1222-1-1222-1-1-1-1-1-2-2-122-1111122-22-2-2-1-1-2-2111102000-1-1-2-200-1-111111-1211-1-120-20000000000-10100
χ352222-1222-1-1222-1-1-1-1-1-2-2-122-11111-2-22-222-1-1-2-211110-200011220011-1-1-1-1-11-2-1-11120-20000000000-10100
χ362222-1222-1-1222-1-1-1-1-1-2-2-122-11111-2-2-22-2-2-1-1-2-211110-200011220011-1-1-1-11-1211-1-1-202000000000010-100
χ372-22-2222-2-2-2-22-2222-2-2002-22-200000000002-20000000002i−2i002i−2i00002i2i−2i−2i0000000000002i−2i002-20000000
χ382-22-2222-2-2-2-22-2222-2-2002-22-200000000002-20000000002i−2i00−2i2i0000−2i−2i2i2i0000000000002i−2i00-220000000
χ392-22-2222-2-2-2-22-2222-2-2002-22-200000000002-2000000000−2i2i002i−2i00002i2i−2i−2i000000000000−2i2i00-220000000
χ402-22-2222-2-2-2-22-2222-2-2002-22-200000000002-2000000000−2i2i00−2i2i0000−2i−2i2i2i000000000000−2i2i002-20000000
χ4144444-2-4-444-2-2-24-2-2-2-200-422-400000000002200000040-4000000220000000000000000-200000000000000
χ4244444-2-4-444-2-2-24-2-2-2-200-422-4000000000022000000-404000000-2-20000000000000000200000000000000
χ434444-24-4-4-2-2444-2-2-2-2-2002-4-420000440000220000000-4000-2-200002200000000000000000000000000000
χ444444-24-4-4-2-2444-2-2-2-2-2002-4-420000-4-400002200000004000220000-2-200000000000000000000000000000
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
χ4944-4-444004-44-4-4-44-44-4−2i22i20000−2i2−2i22i22i200000000−2i22i2−2i2−2i22i22i2000000000000000000000000000000000000000000
χ5044-4-444004-44-4-4-44-44-42i2−2i200002i22i2−2i2−2i2000000002i2−2i22i22i2−2i2−2i2000000000000000000000000000000000000000000
χ5144-4-44-2004-4-222-4-22-22−2i22i20000−2i2−2i22i22i200000000i2−i2i2i2−i2−i200000000023−2300000000000000000000i6−i6000000000
χ5244-4-44-2004-4-222-4-22-22−2i22i20000−2i2−2i22i22i200000000i2−i2i2i2−i2−i2000000000−232300000000000000000000−i6i6000000000
χ5344-4-44-2004-4-222-4-22-222i2−2i200002i22i2−2i2−2i200000000−i2i2−i2−i2i2i200000000023−2300000000000000000000−i6i6000000000
χ5444-4-44-2004-4-222-4-22-222i2−2i200002i22i2−2i2−2i200000000−i2i2−i2−i2i2i2000000000−232300000000000000000000i6−i6000000000
χ5544-4-4-2400-224-4-42-22-22−2i22i20000i2i2−i2−i200000000−2i22i2i2i2−i2−i20000000000023−23i6−i6i6−i60000000000000000000000000
χ5644-4-4-2400-224-4-42-22-22−2i22i20000i2i2−i2−i200000000−2i22i2i2i2−i2−i200000000000−2323−i6i6−i6i60000000000000000000000000
χ5744-4-4-2400-224-4-42-22-222i2−2i20000−i2−i2i2i2000000002i2−2i2−i2−i2i2i20000000000023−23−i6i6−i6i60000000000000000000000000
χ5844-4-4-2400-224-4-42-22-222i2−2i20000−i2−i2i2i2000000002i2−2i2−i2−i2i2i200000000000−2323i6−i6i6−i60000000000000000000000000
χ594-44-444-44-4-4-44-4444-4-400-44-440000000000-44000000000000000000000000000000000000000000000000
χ604-44-44-24-4-4-42-224-2-2220042-2-40000000000-220000000004i−4i000000000000000000000000−2i2i00000000000
χ614-44-44-24-4-4-42-224-2-2220042-2-40000000000-22000000000−4i4i0000000000000000000000002i−2i00000000000
χ624-44-44-2-44-4-42-224-2-22200-4-2240000000023−232-20000000000000000000000000023−2300000000000000000000
χ634-44-44-2-44-4-42-224-2-22200-4-22400000000−23232-200000000000000000000000000−232300000000000000000000
χ644-44-4-244-422-44-4-2-2-22200-2-4420000000000-2200000000000004i−4i0000−2i−2i2i2i0000000000000000000000000
χ654-44-4-244-422-44-4-2-2-22200-2-4420000000000-220000000000000−4i4i00002i2i−2i−2i0000000000000000000000000
χ664-44-4-24-4422-44-4-2-2-2220024-4-2−2i32i3−2i32i30000002-200−2i32i3−2i32i3000000000000000000000000000000000000000000
χ674-44-4-24-4422-44-4-2-2-2220024-4-22i3−2i32i3−2i30000002-2002i3−2i32i3−2i3000000000000000000000000000000000000000000
χ684-44-4-2-2-44222-22-211-1-1002-22-2−2i32i3−2i32i3000023−23-1100i3−i3i3−i300000000000000000000−333i−3i000000000000000000
χ694-44-4-2-2-44222-22-211-1-1002-22-2−2i32i3−2i32i30000−2323-1100i3−i3i3−i3000000000000000000003−3−3i3i000000000000000000
χ704-44-4-2-2-44222-22-211-1-1002-22-22i3−2i32i3−2i3000023−23-1100−i3i3−i3i300000000000000000000−33−3i3i000000000000000000
χ714-44-4-2-2-44222-22-211-1-1002-22-22i3−2i32i3−2i30000−2323-1100−i3i3−i3i3000000000000000000003−33i−3i000000000000000000
χ724-4-444400-44-4-44-44-4-4400000000004-4000000000000000004-400000000000000000000000000000000000
χ734-4-444400-44-4-44-44-4-440000000000-4400000000000000000-4400000000000000000000000000000000000
χ744-4-44-24002-2-4-442-222-20000006−6−664-4000000006−6−6600000-220000006−6−660000000000000000000000000
χ754-4-44-24002-2-4-442-222-20000006−6−66-44000000006−6−66000002-2000000−666−60000000000000000000000000
χ764-4-44-24002-2-4-442-222-2000000−666−64-400000000−666−600000-22000000−666−60000000000000000000000000
χ774-4-44-24002-2-4-442-222-2000000−666−6-4400000000−666−6000002-20000006−6−660000000000000000000000000
χ788888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000
χ7988-8-8-4-400-44-44442-22-2−4i24i200002i22i2−2i2−2i2000000002i2−2i2−i2−i2i2i2000000000000000000000000000000000000000000
χ8088-8-8-4-400-44-44442-22-24i2−4i20000−2i2−2i22i22i200000000−2i22i2i2i2−i2−i2000000000000000000000000000000000000000000
χ818-88-8-4-48-8444-44-422-2-200-44-4400000000002-2000000000000000000000000000000000000000000000000
χ828-8-888-400-8844-4-8-444-4000000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-4004-444-442-2-2200000026−26−26260000000000−666−6000000000000000000000000000000000000000000
χ848-8-88-4-4004-444-442-2-22000000−262626−2600000000006−6−66000000000000000000000000000000000000000000

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