Finite Group Databasebeta

← Group #11889765

Character table — Group #11889765

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444444668888888888888881212121212121212121212121212121616161616162424242424242424242424243636363648487272
order1222334466666634466612121212121222246612121212121212121212122224466666688121266612121244468121212242424244488121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1111111111-1-11-1111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-111-1-111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-111111-1-111-1-1-11
χ41111111111111111111111111111-1-1-1-111-1-111111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1111-1-1-11-1-1-1-111-1-1111-1
χ511111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1111111-111-11-1-1-11111-1-1-1-111-1-1
χ611111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111-1-1-1-1-1-111-1-11111111-111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1111-1111111-1-1-1-11-1
χ811111111111111111111111111-1-1-1-1-1-111-1-11111111-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-11111-11
χ9111111111111111-1-1111-1-11111111-111-1-1-1-1-1-1-1-1-111-1111-111111111-1-1111-1-1-1-11-1-1-1-1-1111-1-111111-1-1-1
χ10111111111111111-1-1111-1-11111111-111-1-1-1-1-1-1-1-1-111-1111-1111111-1-1-1-1111-1-1-1-1-11-11-1-11-1-111-1-1-1-1-1111
χ11111111111111111-1-1111-1-1111111-11-1-1-1-111-1-1-1-1-111-1-1-11-111-1-1-1-111-1-1-1-1-11111-11-1-111111-1-1-1-111-111-1
χ12111111111111111-1-1111-1-1111111-11-1-1-1-111-1-1-1-1-111-1-1-11-111-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-11111-1-11-1-11
χ13111111111111111-1-1111-1-11111-1-11-111-1-1-1-1-1-1-1-1-1111-1-1-11-1-1-1-1-1-11111111-1-1-111-11-111-111-1-1-1-1-1-11-111
χ14111111111111111-1-1111-1-11111-1-11-111-1-1-1-1-1-1-1-1-1111-1-1-11-1-1-1-1-1-1-1-111111-1-1-11-111111-1-1-1111111-11-1-1
χ15111111111111111-1-1111-1-11111-1-1-11-1-1-1-111-1-1-1-1-111111-11-1-111111111-1-1-1111-1-111-1-1-1-111-1-111-1-1-11-11
χ16111111111111111-1-1111-1-11111-1-1-11-1-1-1-111-1-1-1-1-111111-11-1-11111-1-111-1-1-1111-11-111-1-1-1-1-111-1-1111-11-1
χ17222222-2-222222222-2222-2-2-2-2-2-22200002200-222-2-2-2-2200-2-222000000-2-20000000002000-2000000000000
χ18222222-2-222222222-2222-2-2-2-2-2-2-2-200002200-222-2-2-2-2-20022-2-200000022000000000-20002000000000000
χ19222222-2-22222222-2222222-2-2-2-2220000-2-2002-2-222-2-2-200-222200000022000000000-2000-2000000000000
χ20222222-2-22222222-2222222-2-2-2-2-2-20000-2-2002-2-222-2-22002-2-2-2000000-2-200000000020002000000000000
χ2122222-1222-12-1-12-122-1-1-1-1-1-1-1222222-1-12-1-1-12-1-1-1-1-1-122222-1-1-1-1-1-100-1-12-1-12-1-1200-10-1-1-1000000000000
χ2222222-1222-12-1-12-122-1-1-1-1-1-1-12222-2-2112-1112-1-1-1-1-1-12-2-222-1-1111100-1-1-211-211-200-1011-1000000000000
χ2322222-1222-12-1-12-122-1-1-1-1-1-1-122-2-222-1-12-1-1-12-1-1-1-1-1-1-2-2-2-2-211111100112-1-12-1-1-20010111000000000000
χ2422222-1222-12-1-12-122-1-1-1-1-1-1-122-2-2-2-2112-1112-1-1-1-1-1-1-222-2-211-1-1-1-10011-211-21120010-1-11000000000000
χ2522222-1222-12-1-12-1-2-2-1-1-111-1-122222-2-1-1-2111-21111-1-1-2222-2-1-1-1-1-1-100112-1-1-211-2001011-1000000000000
χ2622222-1222-12-1-12-1-2-2-1-1-111-1-12222-2211-21-1-1-21111-1-1-2-2-22-2-1-111110011-2112-1-120010-1-1-1000000000000
χ2722222-1222-12-1-12-1-2-2-1-1-111-1-122-2-22-2-1-1-2111-21111-1-12-2-2-2211111100-1-12-1-1-211200-10-1-11000000000000
χ2822222-1222-12-1-12-1-2-2-1-1-111-1-122-2-2-2211-21-1-1-21111-1-1222-2211-1-1-1-100-1-1-2112-1-1-200-10111000000000000
χ2922222-1-2-22-12-1-12-12-2-1-1-11111-2-22200−i3i32-1−i3i3-2-1-11111200-2-2-1-1−i3−i3i3i300110−i3i30−i3i3000-10−i3i31000000000000
χ3022222-1-2-22-12-1-12-12-2-1-1-11111-2-22200i3−i32-1i3−i3-2-1-11111200-2-2-1-1i3i3−i3−i300110i3−i30i3−i3000-10i3−i31000000000000
χ3122222-1-2-22-12-1-12-12-2-1-1-11111-2-2-2-200−i3i32-1−i3i3-2-1-11111-2002211i3i3−i3−i300-1-10−i3i30−i3i300010i3−i3-1000000000000
χ3222222-1-2-22-12-1-12-12-2-1-1-11111-2-2-2-200i3−i32-1i3−i3-2-1-11111-2002211−i3−i3i3i300-1-10i3−i30i3−i300010−i3i3-1000000000000
χ3322222-1-2-22-12-1-12-1-22-1-1-1-1-111-2-22200−i3i3-21i3−i3211-1-111-200-22-1-1−i3−i3i3i300-1-10−i3i30i3−i300010i3−i31000000000000
χ3422222-1-2-22-12-1-12-1-22-1-1-1-1-111-2-22200i3−i3-21−i3i3211-1-111-200-22-1-1i3i3−i3−i300-1-10i3−i30−i3i300010−i3i31000000000000
χ3522222-1-2-22-12-1-12-1-22-1-1-1-1-111-2-2-2-200−i3i3-21i3−i3211-1-1112002-211i3i3−i3−i300110−i3i30i3−i3000-10−i3i3-1000000000000
χ3622222-1-2-22-12-1-12-1-22-1-1-1-1-111-2-2-2-200i3−i3-21−i3i3211-1-1112002-211−i3−i3i3i300110i3−i30−i3i3000-10i3−i3-1000000000000
χ372222-1222-12-122-1-122-1-1-12222-1-1002222-1222-1-1-1-1-1-1-1000000000002200-1-1-1-1-1-102202000-1-1-1-10000-1-100
χ382222-1222-12-122-1-122-1-1-12222-1-1002222-1222-1-1-1-1-1-1-100000000000-2-200-1-1-1-1-1-10-2-20-2000111100001100
χ392222-1222-12-122-1-122-1-1-12222-1-100-2-2-2-2-12-2-2-1-1-1-1-1-1-10000000000022001111110-2-202000-1-1-1-100001100
χ402222-1222-12-122-1-122-1-1-12222-1-100-2-2-2-2-12-2-2-1-1-1-1-1-1-100000000000-2-2001111110220-200011110000-1-100
χ412222-1222-12-122-1-1-2-2-1-1-1-2-222-1-1002-2221-2-2-211111-1-1000000000002200-1-1-111102-20-2000-1-1110000-1100
χ422222-1222-12-122-1-1-2-2-1-1-1-2-222-1-1002-2221-2-2-211111-1-100000000000-2-200-1-1-11110-220200011-1-100001-100
χ432222-1222-12-122-1-1-2-2-1-1-1-2-222-1-100-22-2-21-22211111-1-1000000000002200111-1-1-10-220-2000-1-11100001-100
χ442222-1222-12-122-1-1-2-2-1-1-1-2-222-1-100-22-2-21-22211111-1-100000000000-2-200111-1-1-102-20200011-1-10000-1100
χ452-22-2222-2-2-22-22-2200-2-22002-22-20000000000000002-202-200002-22-22i−2i00000000000000002i−2i002i−2i000000
χ462-22-2222-2-2-22-22-2200-2-22002-22-20000000000000002-202-200002-22-2−2i2i0000000000000000−2i2i00−2i2i000000
χ472-22-2222-2-2-22-22-2200-2-22002-22-20000000000000002-20-220000-22-222i−2i00000000000000002i−2i00−2i2i000000
χ482-22-2222-2-2-22-22-2200-2-22002-22-20000000000000002-20-220000-22-22−2i2i0000000000000000−2i2i002i−2i000000
χ494444-24-4-4-24-244-2-24-4-2-2-2-4-4-4-422000000-24002-2-2222200000000000000000000000000000000000000000
χ504444-24-4-4-24-244-2-2-44-2-2-244-4-4220000002-400-222-2-22200000000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-20044-2-2-2-2-2-2-2111111000000000000000-211-21100000000000000000000
χ524444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-200-4-422-2-222-21111110000000000000002-1-12-1-100000000000000000000
χ534444-2-244-2-2-2-2-2-21-4-411122-2-2-2-2004-4-2-222222-1-1-1-111000000000000000-2112-1-100000000000000000000
χ544444-2-244-2-2-2-2-2-21-4-411122-2-2-2-200-442222-2-22-1-1-1-1110000000000000002-1-1-21100000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-214-41112222220000−2i32i3-2-2−2i32i3211-1-1-1-10000000000000000i3−i30i3−i300000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-214-411122222200002i3−2i3-2-22i3−2i3211-1-1-1-10000000000000000−i3i30−i3i300000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-21-44111-2-222220000−2i32i3222i3−2i3-2-1-111-1-10000000000000000i3−i30−i3i300000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-21-44111-2-2222200002i3−2i322−2i32i3-2-1-111-1-10000000000000000−i3i30i3−i300000000000000000000
χ5944-4-4440044-4-4-4-44004-4-40000004-4000000000000000000004-40000000000000000000000000000000000
χ6044-4-4440044-4-4-4-44004-4-4000000-4400000000000000000000-440000000000000000000000000000000000
χ6144-4-44-2004-2-422-4-200-22223−2300004-40000000000023−230000000-2200000023−2300000000000000000000000000
χ6244-4-44-2004-2-422-4-200-22223−230000-440000000000023−2300000002-2000000−232300000000000000000000000000
χ6344-4-44-2004-2-422-4-200-222−232300004-400000000000−23230000000-22000000−232300000000000000000000000000
χ6444-4-44-2004-2-422-4-200-222−23230000-4400000000000−232300000002-200000023−2300000000000000000000000000
χ654-44-444-44-4-44-44-4400-4-4400-44-44000000000000000-4400000000000000000000000000000000000000000
χ664-44-44-24-4-4242-2-4-20022-200-224-4000000000000000-2204-40000-22-22000000000000000000000000000000
χ674-44-44-24-4-4242-2-4-20022-200-224-4000000000000000-220-4400002-22-2000000000000000000000000000000
χ684-44-44-2-44-4242-2-4-20022-2002-2-440000000000000002-20000000−2i32i32i3−2i3000000000000000000000000000000
χ694-44-44-2-44-4242-2-4-20022-2002-2-440000000000000002-200000002i3−2i3−2i32i3000000000000000000000000000000
χ704-44-4-244-42-4-2-442-20022-2004-4-22000000000000000-22000000000004i−4i0000000000000000−2i2i0000000000
χ714-44-4-244-42-4-2-442-20022-2004-4-22000000000000000-2200000000000−4i4i00000000000000002i−2i0000000000
χ724-44-4-24-442-4-2-442-20022-200-442-20000000000000002-2000000000000000000000000000000023−2300000000
χ734-44-4-24-442-4-2-442-20022-200-442-20000000000000002-20000000000000000000000000000000−232300000000
χ744-4-444400-4-4-44-44400-44-4000000000000000000000000000000000000000000000000000000000022−220000
χ754-4-444400-4-4-44-44400-44-40000000000000000000000000000000000000000000000000000000000−22220000
χ7688-8-8-4800-484-8-84-400-4440000000000000000000000000000000000000000000000000000000000000000
χ7788-8-8-4-400-4-444442002-2-243−4300000000000000000−23230000000000000000000000000000000000000000000
χ7888-8-8-4-400-4-444442002-2-2−43430000000000000000023−230000000000000000000000000000000000000000000
χ798-88-8-4-48-844-44-44200-2-2200-44-440000000000000002-200000000000000000000000000000000000000000
χ808-88-8-4-4-8844-44-44200-2-22004-44-4000000000000000-2200000000000000000000000000000000000000000
χ818-8-888-400-84-8-448-4004-440000000000000000000000000000000000000000000000000000000000000000
χ828-8-88-48004-848-8-4-4004-440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-400444-44-4200-22-2000000000000000006i−6i000000000000000000000000000000000000000000000
χ848-8-88-4-400444-44-4200-22-200000000000000000−6i6i000000000000000000000000000000000000000000000

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