Finite Group Databasebeta

← Group #11895389

Character table — Group #11895389

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444466666666888888888888121212121212121212121212121212121616161616161618182424242424242424363636363648484872
order122233446666663666881212121224242424444488882412121212242424242424224488121212121212242424246666121212442446612242444488612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-111111111-1-111111111111111-1-1-1-1-1-1-111-1-1-1-1-11111-1-111-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-111111111111111-111111-1-1-1-1-1-1-1-11111111-1-11-1-111111-1-1-1-1-11-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-111-1-1-1111
χ51111111111111111111111111111-1-1111111111111111111-1-11-1-1-1-1-1111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111-1-1111111-1-1-1-111111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-11-1-11
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
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-11-1-111111-1
χ9111111111111111111-1-11111-1-1-1-11111-1-1-1-11-1-1-111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-11111-1-1-11-1-1111-1-111-1-1
χ10111111111111111111-1-11111-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111-1-11111-1-11-1-1-1-1-1-111
χ11111111111111111111-1-11111-1-1-1-111-1-111111-1-1-111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111111111-1-1-1-1-11-11-1-11-1-1-1-1-1111-111
χ12111111111111111111-1-11111-1-1-1-111-1-11111-111111-1-1-1-1-1-111-11-1-111-1-1-1-11111-1-1-1-1111-1-1-11-1111-1-1-11111-11-1-1
χ13111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-11-1-1-111-1-1-1-1-1-1111-111-1-11111-1-1-1-11111-1-1-1-1-1-11-111-111-1-1-111-11-11
χ14111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-1-111111-1-1-1-1-1-1-1-11-111-1-11111-1-1-1-1-1-1-1-1111-1-11-11-1-1-111-111111-11-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-111-1-1111-111111-1-1-1-11-1
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-1111-1-1-1-111-11
χ17222222-2-2222222222200-2-2-2-20000222200000000-2-200000000-2-20022-2-222000000000002200000-200-200000000
χ18222222-2-2222222222200-2-2-2-2000022-2-200000000-2-2000000002-2002222-2-200000000000-2-200000-200200000000
χ19222222-2-2222222222200-2-2-2-20000-2-22200000000-2-200000000-2200-2-2-2-22200000000000-2-200000200200000000
χ20222222-2-2222222222200-2-2-2-20000-2-2-2-200000000-2-2000000002200-2-222-2-2000000000002200000200-200000000
χ2122222-122-1-12-122-1-1-1-122-122-122222200000022-1-1-1-1-1-1-1-1-1-1220222-1-1000000002-1-1-12-1-100200-1-1-1-1-100000-1000
χ2222222-122-1-12-122-1-1-1-122-122-1222222000000-2-211-1-1-1-1-1-1-1-1-2-20222-1-100000000-2111-21100-20011-1-1-1000001000
χ2322222-122-1-12-122-1-1-1-122-122-12222-2-200000022-1-1-1-1-1-1-1-1-1-1-2-20-2-2-211000000002-1-1-12-1-100-20011111000001000
χ2422222-122-1-12-122-1-1-1-122-122-12222-2-2000000-2-211-1-1-1-1-1-1-1-1220-2-2-21100000000-2111-21100200-1-111100000-1000
χ2522222-122-1-12-122-1-1-1-1-2-2-122-1-2-2-2-2220000002-211-1-1111111-2-202-2-2-1-1000000002-1-1-1-2110020011-11100000-1000
χ2622222-122-1-12-122-1-1-1-1-2-2-122-1-2-2-2-222000000-22-1-1-1-11111112202-2-2-1-100000000-21112-1-100-200-1-1-111000001000
χ2722222-122-1-12-122-1-1-1-1-2-2-122-1-2-2-2-2-2-20000002-211-1-1111111220-22211000000002-1-1-1-21100-200-1-11-1-1000001000
χ2822222-122-1-12-122-1-1-1-1-2-2-122-1-2-2-2-2-2-2000000-22-1-1-1-1111111-2-20-2221100000000-21112-1-100200111-1-100000-1000
χ292222-122222-12-1-1-1-1-1-1222-1-12-1-1-1-1002222222222-1-122-1-1-1-100200000-1-1-1-1-1-1-1-1-12-1-1-1-1-10002200000000000-1-10
χ302222-122222-12-1-1-1-1-1-1222-1-12-1-1-1-100222222-2-2-2-2-1-122-1-1-1-100200000-1-1-1-1-1-1-1-11-211111000-2-200000000000110
χ312222-122222-12-1-1-1-1-1-1222-1-12-1-1-1-100-2-2-2-2-2-22222-1-122-1-1-1-100-20000011111111-12-1-1-1-1-1000-2-200000000000110
χ322222-122222-12-1-1-1-1-1-1222-1-12-1-1-1-100-2-2-2-2-2-2-2-2-2-2-1-122-1-1-1-100-200000111111111-2111110002200000000000-1-10
χ332222-122222-12-1-1-1-1-1-1-2-22-1-1211110022-2-2-2-22-2-2-2-1-1-2-2111100200000-1-1-1-11111-12-1-11110002-200000000000-110
χ342222-122222-12-1-1-1-1-1-1-2-22-1-1211110022-2-2-2-2-2222-1-1-2-2111100200000-1-1-1-111111-211-1-1-1000-22000000000001-10
χ352222-122222-12-1-1-1-1-1-1-2-22-1-12111100-2-222222-2-2-2-1-1-2-2111100-2000001111-1-1-1-1-12-1-1111000-22000000000001-10
χ362222-122222-12-1-1-1-1-1-1-2-22-1-12111100-2-22222-2222-1-1-2-2111100-2000001111-1-1-1-11-211-1-1-10002-200000000000-110
χ3722-2-222-222-2-2-22-22-22-200-22-22000000002i2i−2i−2i0000-220000002-200000000002i2i−2i−2i0000000000002-200002i−2i000000
χ3822-2-222-222-2-2-22-22-22-200-22-22000000002i2i−2i−2i0000-22000000-2200000000002i2i−2i−2i000000000000-220000−2i2i000000
χ3922-2-222-222-2-2-22-22-22-200-22-2200000000−2i−2i2i2i0000-220000002-20000000000−2i−2i2i2i0000000000002-20000−2i2i000000
χ4022-2-222-222-2-2-22-22-22-200-22-2200000000−2i−2i2i2i0000-22000000-220000000000−2i−2i2i2i000000000000-2200002i−2i000000
χ412-22-22200-2-222-2-22-2-222−2000022−2−22-22i−2i−i2i2−i2i20000002−222−2−200002−22-2002i−2i−i2i2−i2i200000002i−2i0000002−2000−i2i20000
χ422-22-22200-2-222-2-22-2-222−2000022−2−22-2−2i2ii2−i2i2−i20000002−222−2−200002−22-200−2i2ii2−i2i2−i20000000−2i2i0000002−2000i2−i20000
χ432-22-22200-2-222-2-22-2-222−2000022−2−2-222i−2i−i2i2−i2i20000002−222−2−20000−22-22002i−2i−i2i2−i2i20000000−2i2i000000−22000i2−i20000
χ442-22-22200-2-222-2-22-2-222−2000022−2−2-22−2i2ii2−i2i2−i20000002−222−2−20000−22-2200−2i2ii2−i2i2−i200000002i−2i000000−22000−i2i20000
χ452-22-22200-2-222-2-22-2-22−220000−2−2222-22i−2ii2−i2i2−i2000000−22−2−2220000−222-2002i−2ii2−i2i2−i200000002i−2i000000−22000i2−i20000
χ462-22-22200-2-222-2-22-2-22−220000−2−2222-2−2i2i−i2i2−i2i2000000−22−2−2220000−222-200−2i2i−i2i2−i2i20000000−2i2i000000−22000−i2i20000
χ472-22-22200-2-222-2-22-2-22−220000−2−222-222i−2ii2−i2i2−i2000000−22−2−22200002−2-22002i−2ii2−i2i2−i20000000−2i2i0000002−2000−i2i20000
χ482-22-22200-2-222-2-22-2-22−220000−2−222-22−2i2i−i2i2−i2i2000000−22−2−22200002−2-2200−2i2i−i2i2−i2i200000002i−2i0000002−2000i2−i20000
χ4944444-2-4-4-2-24-244-2-2-2-2002-4-42000044000000000022000000000-400-2-20000000000000000000000200000000000
χ5044444-2-4-4-2-24-244-2-2-2-2002-4-420000-4-4000000000022000000000400220000000000000000000000-200000000000
χ514444-24-4-444-24-2-2-2-2-2-200-422-400000044000000002200000000-40000022-2-2000000000000000000000000000000
χ524444-24-4-444-24-2-2-2-2-2-200-422-4000000-4-4000000002200000000400000-2-222000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20000000044-2-211-2-211110000000000000000-2-211-2110000000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200000000-4-42211-2-21111000000000000000022-1-12-1-10000000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000004-4221122-1-1-1-10000000000000000-2-2112-1-10000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200000000-44-2-21122-1-1-1-1000000000000000022-1-1-2110000000000000000000
χ5744-4-4444-44-4-4-44-44-44-4004-44-400000000000000004-4000000000000000000000000000000000000000000000000
χ5844-4-44-24-4-22-424-4-22-2200-2-4420000000000000023−23-2200000000000000000000000000023−230000000000000000000
χ5944-4-44-24-4-22-424-4-22-2200-2-44200000000000000−2323-22000000000000000000000000000−23230000000000000000000
χ6044-4-44-2-44-22-424-4-22-220024-4-200000000000000002-20000004-400000000000000000000000000-22000000000000
χ6144-4-44-2-44-22-424-4-22-220024-4-200000000000000002-2000000-44000000000000000000000000002-2000000000000
χ6244-4-4-244-44-42-4-22-22-220042-2-423−2323−23000000000000-220023−2323−23000000000000000000000000000000000000000000
χ6344-4-4-244-44-42-4-22-22-220042-2-4−2323−2323000000000000-2200−2323−2323000000000000000000000000000000000000000000
χ6444-4-4-24-444-42-4-22-22-2200-4-224000000004i4i−4i−4i00002-2000000000000000000−2i−2i2i2i00000000000000000000000000
χ6544-4-4-24-444-42-4-22-22-2200-4-22400000000−4i−4i4i4i00002-20000000000000000002i2i−2i−2i00000000000000000000000000
χ6644-4-4-2-24-4-2222-221-11-100-22-2223−2323−23000000000023−231-100−33−330000000000000000003-30−330000000000000000000
χ6744-4-4-2-24-4-2222-221-11-100-22-2223−2323−230000000000−23231-100−33−33000000000000000000-3303−30000000000000000000
χ6844-4-4-2-24-4-2222-221-11-100-22-22−2323−2323000000000023−231-1003−33−3000000000000000000-330−330000000000000000000
χ6944-4-4-2-24-4-2222-221-11-100-22-22−2323−23230000000000−23231-1003−33−30000000000000000003-303−30000000000000000000
χ704-44-44-200224-2-4-4-222-222−2200002222−22−224-4000000000000−22−2−222000022−22-2200000000000000000000000−22000000000
χ714-44-44-200224-2-4-4-222-222−2200002222−22−22-44000000000000−22−2−2220000−22222-2000000000000000000000002−2000000000
χ724-44-44-200224-2-4-4-222-2−22220000−22−2222224-40000000000002−222−2−20000−2222-22000000000000000000000002−2000000000
χ734-44-44-200224-2-4-4-222-2−22220000−22−222222-440000000000002−222−2−2000022−222-200000000000000000000000−22000000000
χ744-44-4-2400-4-4-2422-222-222−220000−2−222004i−4i−2i22i2−2i22i200000022−22−2−2220000000000−2i2ii2−i2i2−i200000000000000000000000000
χ754-44-4-2400-4-4-2422-222-222−220000−2−22200−4i4i2i2−2i22i2−2i200000022−22−2−22200000000002i−2i−i2i2−i2i200000000000000000000000000
χ764-44-4-2400-4-4-2422-222-2−2222000022−2−2004i−4i2i2−2i22i2−2i2000000−222222−2−20000000000−2i2i−i2i2−i2i200000000000000000000000000
χ774-44-4-2400-4-4-2422-222-2−2222000022−2−200−4i4i−2i22i2−2i22i2000000−222222−2−200000000002i−2ii2−i2i2−i200000000000000000000000000
χ784-4-444400-44-4-4-4444-4-40000000000000022−22−222200000000000000000000000022−22−222200000000000000000000000000
χ794-4-444400-44-4-4-4444-4-400000000000000−222222−22000000000000000000000000−222222−2200000000000000000000000000
χ804-4-44-2400-442-42-2-2-2220000006−6−66000022−22−2222000000006−6−660000000023−2300−222−200000000000000000000000000
χ814-4-44-2400-442-42-2-2-2220000006−6−660000−222222−22000000006−6−6600000000−2323002−2−2200000000000000000000000000
χ824-4-44-2400-442-42-2-2-222000000−666−6000022−22−222200000000−666−600000000−232300−222−200000000000000000000000000
χ834-4-44-2400-442-42-2-2-222000000−666−60000−222222−2200000000−666−60000000023−23002−2−2200000000000000000000000000
χ848888-4-4-8-8-4-4-4-4-4-422220044440000000000000000-2-2000000000000000000000000000000000000000000000000
χ8588-8-8-4-4-88-4444-442-22-2004-44-40000000000000000-22000000000000000000000000000000000000000000000000
χ868-88-8-4-40044-4-4442-2-2242−420000−22−22222200000000000000−222222−2−2000000000000000000000000000000000000000000
χ878-88-8-4-40044-4-4442-2-22−424200002222−22−220000000000000022−22−2−222000000000000000000000000000000000000000000
χ888-8-888-4004-4-84-88-4-444000000000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-4004-4444-422-2-200000026−26−26260000000000000000−666−6000000000000000000000000000000000000000000
χ908-8-88-4-4004-4444-422-2-2000000−262626−2600000000000000006−6−66000000000000000000000000000000000000000000

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