Finite Group Databasebeta

← Group #11887165

Character table — Group #11887165

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444466666666888888888888121212121212121212121212121212121616161616161618182424242424242424363636363648484872
order1222334466666636668812121212242424242222888844121212122424242424244444666688121224242424121212121212124422412121224242248866124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-11111111111-1-1111111111111-1-1-1-1-1-1-111-1-1-11-1-111-1-1111-1-1-1-1
χ3111111111111111111111111111111-1-111111111111111111-1-1-111-1-1-1-11111111111111-1-11-11-1-1-1-1-1-1-1-1-1-11-11-1
χ4111111111111111111111111111111-1-11111-1-1-1-1111111111-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-11-11
χ51111111111111111111111111111-1-111-1-1-1-1111111111111-1111-1-11111-1-1-1-1-1-11111111-1-1-11-111111-1-1-1-1-1-11-1-1
χ61111111111111111111111111111-1-111-1-1-1-1-1-1-1-111111111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11111-1-1-11-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111-1-1-11
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-1-1-1111111-1
χ9111111111111111111-1-11111-1-1-1-11111-1-1-1-11-1-1-111-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-111-1-11111-11-1-1-1-1111-1-111-1-1
χ10111111111111111111-1-11111-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11-1-11111-1-11111-1-1-1-11-1-1-1-111
χ11111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-11-1-1-111-1-1-1-1-1-11-11111-1-11111-1-1-1-111-111-1-1-1-11-1-1-11111-1-1-1111-1-11
χ12111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-111111-1-1-1-1-1-11-1-1-111-1-11111-1-1-1-1-1-11-1-111-1-1-111-1-1-11111-111-111-1
χ13111111111111111111-1-11111-1-1-1-1-1-11111111-1-1-111-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1111111-111-1-1-1-1-1111-1-1-1-1-1-1-111-1111
χ14111111111111111111-1-11111-1-1-1-1-1-1111111-111111-1-1-1-1-1-1-1111-1-111-1-1-1-11111-1-11-1-111-1-11-1-1111-1-111-1111-1-1-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-111-1-111-1-11-11111111-1-1-1-11-1
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11-1-1111111-1-1-1-111-1-11-1-111-11
χ17222222-2-2222222222200-2-2-2-20000222200000000-2-2000000-2-200222200-2-20000000000022000-2000000-2000000
χ18222222-2-2222222222200-2-2-2-2000022-2-200000000-2-2000000-220022-2-200-2-200000000000-2-200020000002000000
χ19222222-2-2222222222200-2-2-2-20000-2-22200000000-2-20000002-200-2-222002200000000000-2-2000-20000002000000
χ20222222-2-2222222222200-2-2-2-20000-2-2-2-200000000-2-20000002200-2-2-2-2002200000000000220002000000-2000000
χ2122222-12222-1-1-12-1-1-1-1222-1-1222220022000022-1-1-1-1-1-1-1-1-1-1022200-1-1220000002-12-1-1-1-100020-1-1-1-1-1000000-100
χ2222222-12222-1-1-12-1-1-1-1222-1-12222200220000-2-211-1-1-1-1-1-1-1-102-2-200-1-122000000-21-21111000-20-111-1-1000000100
χ2322222-12222-1-1-12-1-1-1-1222-1-12222200-2-2000022-1-1-1-1-1-1-1-1-1-10-2-2-20011-2-20000002-12-1-1-1-1000-2011111000000100
χ2422222-12222-1-1-12-1-1-1-1222-1-12222200-2-20000-2-211-1-1-1-1-1-1-1-10-2220011-2-2000000-21-21111000201-1-111000000-100
χ2522222-12222-1-1-12-1-1-1-1-2-22-1-12-2-2-2-2002200002-211-1-111111102-2-200-1-1-2-20000002-1-2-1-11100020-11111000000-100
χ2622222-12222-1-1-12-1-1-1-1-2-22-1-12-2-2-2-200220000-22-1-1-1-1111111022200-1-1-2-2000000-21211-1-1000-20-1-1-111000000100
χ2722222-12222-1-1-12-1-1-1-1-2-22-1-12-2-2-2-200-2-200002-211-1-11111110-2220011220000002-1-2-1-111000-201-1-1-1-1000000100
χ2822222-12222-1-1-12-1-1-1-1-2-22-1-12-2-2-2-200-2-20000-22-1-1-1-11111110-2-2-2001122000000-21211-1-100020111-1-1000000-100
χ292222-1222-1-1222-1-1-1-1-122-122-1-1-1-1-1220022222222-1-122-1-1-1-12000-1-10000-1-1-1-1-1-1-12-1-1-1-1-1002020000000000-10-10
χ302222-1222-1-1222-1-1-1-1-122-122-1-1-1-1-122002222-2-2-2-2-1-122-1-1-1-12000-1-10000-1-1-1-1-1-11-21111100-20-200000000001010
χ312222-1222-1-1222-1-1-1-1-122-122-1-1-1-1-1-2-200-2-2-2-22222-1-122-1-1-1-1-2000110000111111-12-1-1-1-1-100-20-200000000001010
χ322222-1222-1-1222-1-1-1-1-122-122-1-1-1-1-1-2-200-2-2-2-2-2-2-2-2-1-122-1-1-1-1-20001100001111111-211111002020000000000-10-10
χ332222-1222-1-1222-1-1-1-1-1-2-2-122-111112200-2-2-2-22-2-2-2-1-1-2-211112000-1-10000-1-11111-121-1-1110020-20000000000-1010
χ342222-1222-1-1222-1-1-1-1-1-2-2-122-111112200-2-2-2-2-2222-1-1-2-211112000-1-10000-1-111111-2-111-1-100-202000000000010-10
χ352222-1222-1-1222-1-1-1-1-1-2-2-122-11111-2-20022222-2-2-2-1-1-2-21111-200011000011-1-1-1-1-121-1-11100-202000000000010-10
χ362222-1222-1-1222-1-1-1-1-1-2-2-122-11111-2-2002222-2222-1-1-2-21111-200011000011-1-1-1-11-2-111-1-10020-20000000000-1010
χ3722-2-222002-22-2-2-22-22-2−i2i20000−i2−i2i2i22-22-2−i2−i2i2i2000000−i2i2−i2−i2i2i200002-22-2−i2i200−i2−i2i2i200000002-2000000−i2i2000−i2i20000
χ3822-2-222002-22-2-2-22-22-2−i2i20000−i2−i2i2i22-2-22−i2−i2i2i2000000−i2i2−i2−i2i2i200002-2-22i2−i200−i2−i2i2i20000000-22000000i2−i2000i2−i20000
χ3922-2-222002-22-2-2-22-22-2−i2i20000−i2−i2i2i2-222-2i2i2−i2−i2000000−i2i2−i2−i2i2i20000-222-2−i2i200i2i2−i2−i20000000-22000000−i2i2000i2−i20000
χ4022-2-222002-22-2-2-22-22-2−i2i20000−i2−i2i2i2-22-22i2i2−i2−i2000000−i2i2−i2−i2i2i20000-22-22i2−i200i2i2−i2−i200000002-2000000i2−i2000−i2i20000
χ4122-2-222002-22-2-2-22-22-2i2−i20000i2i2−i2−i22-22-2i2i2−i2−i2000000i2−i2i2i2−i2−i200002-22-2i2−i200i2i2−i2−i200000002-2000000i2−i2000i2−i20000
χ4222-2-222002-22-2-2-22-22-2i2−i20000i2i2−i2−i22-2-22i2i2−i2−i2000000i2−i2i2i2−i2−i200002-2-22−i2i200i2i2−i2−i20000000-22000000−i2i2000−i2i20000
χ4322-2-222002-22-2-2-22-22-2i2−i20000i2i2−i2−i2-222-2−i2−i2i2i2000000i2−i2i2i2−i2−i20000-222-2i2−i200−i2−i2i2i20000000-22000000i2−i2000−i2i20000
χ4422-2-222002-22-2-2-22-22-2i2−i20000i2i2−i2−i2-22-22−i2−i2i2i2000000i2−i2i2i2−i2−i20000-22-22−i2i200−i2−i2i2i200000002-2000000−i2i2000i2−i20000
χ452-22-2222-2-2-2-22-2222-2-2002-22-2000000002i−2i2i−2i00002-2000000002i−2i000000002i−2i2i−2i00000000000002i−2i002-20000000
χ462-22-2222-2-2-2-22-2222-2-2002-22-2000000002i−2i2i−2i00002-200000000−2i2i000000002i−2i2i−2i0000000000000−2i2i00-220000000
χ472-22-2222-2-2-2-22-2222-2-2002-22-200000000−2i2i−2i2i00002-2000000002i−2i00000000−2i2i−2i2i00000000000002i−2i00-220000000
χ482-22-2222-2-2-2-22-2222-2-2002-22-200000000−2i2i−2i2i00002-200000000−2i2i00000000−2i2i−2i2i0000000000000−2i2i002-20000000
χ4944444-2-4-444-2-2-24-2-2-2-200-422-40000004400000000220000000-40000-2-20000000000000000000020000000000000
χ5044444-2-4-444-2-2-24-2-2-2-200-422-4000000-4-400000000220000000400002200000000000000000000-20000000000000
χ514444-24-4-4-2-2444-2-2-2-2-2002-4-42000044000000000022000000-4000-2-2000022000000000000000000000000000000
χ524444-24-4-4-2-2444-2-2-2-2-2002-4-420000-4-40000000000220000004000220000-2-2000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20000000044-2-211-2-211110000000000000000-2-2-211110000000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200000000-4-42211-2-211110000000000000000222-1-1-1-10000000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000004-4221122-1-1-1-10000000000000000-2-2211-1-10000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200000000-44-2-21122-1-1-1-1000000000000000022-2-1-1110000000000000000000
χ5744-4-44-2004-4-222-4-22-22−2i22i20000−2i2−2i22i22i2004-40000000000i2−i2i2i2−i2−i2000000-22−2i22i2000000000000000000000i2−i2000000000
χ5844-4-44-2004-4-222-4-22-22−2i22i20000−2i2−2i22i22i200-440000000000i2−i2i2i2−i2−i20000002-22i2−2i2000000000000000000000−i2i2000000000
χ5944-4-44-2004-4-222-4-22-222i2−2i200002i22i2−2i2−2i2004-40000000000−i2i2−i2−i2i2i2000000-222i2−2i2000000000000000000000−i2i2000000000
χ6044-4-44-2004-4-222-4-22-222i2−2i200002i22i2−2i2−2i200-440000000000−i2i2−i2−i2i2i20000002-2−2i22i2000000000000000000000i2−i2000000000
χ6144-4-4-2400-224-4-42-22-22−2i22i20000i2i2−i2−i24-400−2i2−2i22i22i2000000−2i22i2i2i2−i2−i20000-22000000i2i2−i2−i200000000000000000000000000
χ6244-4-4-2400-224-4-42-22-22−2i22i20000i2i2−i2−i2-44002i22i2−2i2−2i2000000−2i22i2i2i2−i2−i200002-2000000−i2−i2i2i200000000000000000000000000
χ6344-4-4-2400-224-4-42-22-222i2−2i20000−i2−i2i2i24-4002i22i2−2i2−2i20000002i2−2i2−i2−i2i2i20000-22000000−i2−i2i2i200000000000000000000000000
χ6444-4-4-2400-224-4-42-22-222i2−2i20000−i2−i2i2i2-4400−2i2−2i22i22i20000002i2−2i2−i2−i2i2i200002-2000000i2i2−i2−i200000000000000000000000000
χ654-44-444-44-4-4-44-4444-4-400-44-440000000000000000-44000000000000000000000000000000000000000000000000
χ664-44-44-24-4-4-42-224-2-2220042-2-40000000000000000-22000000004i−4i0000000000000000000000000−2i2i00000000000
χ674-44-44-24-4-4-42-224-2-2220042-2-40000000000000000-2200000000−4i4i00000000000000000000000002i−2i00000000000
χ684-44-44-2-44-4-42-224-2-22200-4-2240000000000000023−232-200000000000000000000000000023−230000000000000000000
χ694-44-44-2-44-4-42-224-2-22200-4-22400000000000000−23232-2000000000000000000000000000−23230000000000000000000
χ704-44-4-244-422-44-4-2-2-22200-2-442000000004i−4i4i−4i0000-22000000000000000000−2i2i−2i2i00000000000000000000000000
χ714-44-4-244-422-44-4-2-2-22200-2-44200000000−4i4i−4i4i0000-220000000000000000002i−2i2i−2i00000000000000000000000000
χ724-44-4-24-4422-44-4-2-2-2220024-4-2−2i32i3−2i32i30000000000002-200−2i32i3−2i32i3000000000000000000000000000000000000000000
χ734-44-4-24-4422-44-4-2-2-2220024-4-22i3−2i32i3−2i30000000000002-2002i3−2i32i3−2i3000000000000000000000000000000000000000000
χ744-44-4-2-2-44222-22-211-1-1002-22-2−2i32i3−2i32i3000000000023−23-1100i3−i3i3−i300000000000000000003i−3i−330000000000000000000
χ754-44-4-2-2-44222-22-211-1-1002-22-2−2i32i3−2i32i30000000000−2323-1100i3−i3i3−i30000000000000000000−3i3i3−30000000000000000000
χ764-44-4-2-2-44222-22-211-1-1002-22-22i3−2i32i3−2i3000000000023−23-1100−i3i3−i3i30000000000000000000−3i3i−330000000000000000000
χ774-44-4-2-2-44222-22-211-1-1002-22-22i3−2i32i3−2i30000000000−2323-1100−i3i3−i3i300000000000000000003i−3i3−30000000000000000000
χ784-4-444400-44-4-44-44-4-440000000000000022−22−222200000000000000000000000022−22−222200000000000000000000000000
χ794-4-444400-44-4-44-44-4-4400000000000000−222222−22000000000000000000000000−222222−2200000000000000000000000000
χ804-4-44-24002-2-4-442-222-20000006−6−66000022−22−2222000000006−6−66000000000023−23−222−200000000000000000000000000
χ814-4-44-24002-2-4-442-222-20000006−6−660000−222222−22000000006−6−660000000000−23232−2−2200000000000000000000000000
χ824-4-44-24002-2-4-442-222-2000000−666−6000022−22−222200000000−666−60000000000−2323−222−200000000000000000000000000
χ834-4-44-24002-2-4-442-222-2000000−666−60000−222222−2200000000−666−6000000000023−232−2−2200000000000000000000000000
χ848888-4-4-8-8-4-4-4-4-4-422220044440000000000000000-2-2000000000000000000000000000000000000000000000000
χ8588-8-8-4-400-44-44442-22-2−4i24i200002i22i2−2i2−2i2000000000000002i2−2i2−i2−i2i2i2000000000000000000000000000000000000000000
χ8688-8-8-4-400-44-44442-22-24i2−4i20000−2i2−2i22i22i200000000000000−2i22i2i2i2−i2−i2000000000000000000000000000000000000000000
χ878-88-8-4-48-8444-44-422-2-200-44-4400000000000000002-2000000000000000000000000000000000000000000000000
χ888-8-888-400-8844-4-8-444-4000000000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-4004-444-442-2-2200000026−26−26260000000000000000−666−6000000000000000000000000000000000000000000
χ908-8-88-4-4004-444-442-2-22000000−262626−2600000000000000006−6−66000000000000000000000000000000000000000000

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