Finite Group Databasebeta

← Group #11884475

Character table — Group #11884475

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444444668888888888888881212121212121212121212121212121616161616162424242424242424242424243636363648487272
order12223344666666344666121212121212442466121212121212121212121222224666666881212666121212224681212122424242444886648
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-111111111-1-111-1111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1111-1-111111111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-111111-1-111-1-1-11
χ41111111111111111111111111111-1-1-1-1111-1-111111111-1-1111-1-1-1-1-1-111-1-1-1-1-1-111-11-1-1-11-1-1-1-111-1-1111-1
χ511111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-11-1-1-11111-1-1-1-111-1-1
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
χ711111111111111111111111111-1-1-1-1-1-1111-1-1111111-1-111-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1111-1111111-1-1-1-11-1
χ811111111111111111111111111-1-1-1-1-1-1111-1-1111111-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-11111-11
χ9111111111111111-1-1111-1-11111111-111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111111-1-1-11-111-111-111-1-1-1-1111-11-1
χ10111111111111111-1-1111-1-11111111-111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-11111-1-1-11-11
χ11111111111111111-1-1111-1-1111111-11-1-1-1-1-111-1-1-1-1111-111-1-1-111111111-1-1-1111-11-11-1-1-1-111-1-11111-11-1-1
χ12111111111111111-1-1111-1-1111111-11-1-1-1-1-111-1-1-1-1111-111-1-1-11111-1-111-1-1-11111-1-111-1-1-1-1-111-1-1-1-11-111
χ13111111111111111-1-1111-1-11111-1-11-111-1-1-1-1-1-1-1-1-111-1111111111111-1-1111-1-1-11-1-1-1-1-1-1111-1-111-1-11-1-11
χ14111111111111111-1-1111-1-11111-1-11-111-1-1-1-1-1-1-1-1-111-11111111111-1-1-1-1111-1-1-1-11-1-11-1-11-1-111-1-111-111-1
χ15111111111111111-1-1111-1-11111-1-1-11-1-1-1-1-111-1-1-1-111-11-1-1111-1-1-1-111-1-1-1-1-1111-111-1-111111-1-1-1-1-1-1-1111
χ16111111111111111-1-1111-1-11111-1-1-11-1-1-1-1-111-1-1-1-111-11-1-1111-1-1-1-1-1-1-1-1-1-1-11111-11-11111-1-11111111-1-1-1
χ17222222-2-222222222-2222-2-2-2-2-2-222000022-20022-2-2-2-2-2-2002-2-200000022000000000-20002000000000000
χ18222222-2-222222222-2222-2-2-2-2-2-2-2-2000022-20022-2-2-2-22200-222000000-2-20000000002000-2000000000000
χ19222222-2-22222222-2222222-2-2-2-2220000-2-2200-2-222-2-2-2200-22200000022000000000-2000-2000000000000
χ20222222-2-22222222-2222222-2-2-2-2-2-20000-2-2200-2-222-2-22-2002-2-2000000-2-200000000020002000000000000
χ2122222-12222-12-1-1-122-1-1-1-1-1-1-1222222-1-12-12-1-1-1-1-1-1-1-122222-1-1-1-1-1-100-1-12-1-12-1-1002-10-1-1-1000000000000
χ2222222-12222-12-1-1-122-1-1-1-1-1-1-12222-2-2112-1211-1-1-1-1-1-122-2-22-1-1111100-1-1-211-21100-2-1011-1000000000000
χ2322222-12222-12-1-1-122-1-1-1-1-1-1-122-2-222-1-12-12-1-1-1-1-1-1-1-1-2-2-2-2-211111100112-1-12-1-100-210111000000000000
χ2422222-12222-12-1-1-122-1-1-1-1-1-1-122-2-2-2-2112-1211-1-1-1-1-1-1-2-222-211-1-1-1-10011-211-21100210-1-11000000000000
χ2522222-12222-12-1-1-1-2-2-1-1-111-1-122222-2-1-1-21-2111111-1-12-2-2-2-211111100-1-12-1-1-211002-10-1-11000000000000
χ2622222-12222-12-1-1-1-2-2-1-1-111-1-12222-2211-21-2-1-11111-1-12-222-211-1-1-1-100-1-1-2112-1-100-2-10111000000000000
χ2722222-12222-12-1-1-1-2-2-1-1-111-1-122-2-22-2-1-1-21-2111111-1-1-22222-1-1-1-1-1-100112-1-1-21100-21011-1000000000000
χ2822222-12222-12-1-1-1-2-2-1-1-111-1-122-2-2-2211-21-2-1-11111-1-1-22-2-22-1-111110011-2112-1-100210-1-1-1000000000000
χ2922222-1-2-222-12-1-1-12-2-1-1-11111-2-22200−i3i32-1-2−i3i3-1-11111-2-200211−i3−i3i3i300-1-10−i3i30−i3i300010−i3i3-1000000000000
χ3022222-1-2-222-12-1-1-12-2-1-1-11111-2-22200i3−i32-1-2i3−i3-1-11111-2-200211i3i3−i3−i300-1-10i3−i30i3−i300010i3−i3-1000000000000
χ3122222-1-2-222-12-1-1-12-2-1-1-11111-2-2-2-200−i3i32-1-2−i3i3-1-111112200-2-1-1i3i3−i3−i300110−i3i30−i3i3000-10i3−i31000000000000
χ3222222-1-2-222-12-1-1-12-2-1-1-11111-2-2-2-200i3−i32-1-2i3−i3-1-111112200-2-1-1−i3−i3i3i300110i3−i30i3−i3000-10−i3i31000000000000
χ3322222-1-2-222-12-1-1-1-22-1-1-1-1-111-2-22200−i3i3-212i3−i311-1-111-2200-2-1-1i3i3−i3−i300-1-10−i3i30i3−i300010−i3i31000000000000
χ3422222-1-2-222-12-1-1-1-22-1-1-1-1-111-2-22200i3−i3-212−i3i311-1-111-2200-2-1-1−i3−i3i3i300-1-10i3−i30−i3i300010i3−i31000000000000
χ3522222-1-2-222-12-1-1-1-22-1-1-1-1-111-2-2-2-200−i3i3-212i3−i311-1-1112-200211−i3−i3i3i300110−i3i30i3−i3000-10i3−i3-1000000000000
χ3622222-1-2-222-12-1-1-1-22-1-1-1-1-111-2-2-2-200i3−i3-212−i3i311-1-1112-200211i3i3−i3−i300110i3−i30−i3i3000-10−i3i3-1000000000000
χ372222-1222-1-12-122-122-1-1-12222-1-1002222-12-122-1-1-1-1-1-1000000000002200-1-1-1-1-1-122002000-1-1-1-10000-1-100
χ382222-1222-1-12-122-122-1-1-12222-1-1002222-12-122-1-1-1-1-1-100000000000-2-200-1-1-1-1-1-1-2-200-2000111100001100
χ392222-1222-1-12-122-122-1-1-12222-1-100-2-2-2-2-12-1-2-2-1-1-1-1-1-1000000000002200111111-2-2002000-1-1-1-100001100
χ402222-1222-1-12-122-122-1-1-12222-1-100-2-2-2-2-12-1-2-2-1-1-1-1-1-100000000000-2-2001111112200-200011110000-1-100
χ412222-1222-1-12-122-1-2-2-1-1-1-2-222-1-1002-2221-21-2-21111-1-1000000000002200-1-1-11112-200-2000-1-1110000-1100
χ422222-1222-1-12-122-1-2-2-1-1-1-2-222-1-1002-2221-21-2-21111-1-100000000000-2-200-1-1-1111-2200200011-1-100001-100
χ432222-1222-1-12-122-1-2-2-1-1-1-2-222-1-100-22-2-21-21221111-1-1000000000002200111-1-1-1-2200-2000-1-11100001-100
χ442222-1222-1-12-122-1-2-2-1-1-1-2-222-1-100-22-2-21-21221111-1-100000000000-2-200111-1-1-12-200200011-1-10000-1100
χ452-2-2222-22-2-2-22-22200-2-22002-22-20000000000000002-2002-20002-22-22-200000000000000002-2002-2000000
χ462-2-2222-22-2-2-22-22200-2-22002-22-20000000000000002-2002-20002-22-2-220000000000000000-2200-22000000
χ472-2-2222-22-2-2-22-22200-2-22002-22-20000000000000002-200-22000-22-222-200000000000000002-200-22000000
χ482-2-2222-22-2-2-22-22200-2-22002-22-20000000000000002-200-22000-22-22-220000000000000000-22002-2000000
χ494444-24-4-4-2-24-244-24-4-2-2-2-4-4-4-422000000-24200-2-2222200000000000000000000000000000000000000000
χ504444-24-4-4-2-24-244-2-44-2-2-244-4-4220000002-4-20022-2-22200000000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-20044-2-2-2-2-2-2-2111111000000000000000-211-21100000000000000000000
χ524444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-200-4-422-2-2-2221111110000000000000002-1-12-1-100000000000000000000
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
χ544444-2-244-2-2-2-2-2-21-4-411122-2-2-2-200-4422222-2-2-1-1-1-1110000000000000002-1-1-21100000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-214-41112222220000−2i32i3-2-22−2i32i311-1-1-1-10000000000000000i3−i30i3−i300000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-214-411122222200002i3−2i3-2-222i3−2i311-1-1-1-10000000000000000−i3i30−i3i300000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-21-44111-2-222220000−2i32i322-22i3−2i3-1-111-1-10000000000000000i3−i30−i3i300000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-21-44111-2-2222200002i3−2i322-2−2i32i3-1-111-1-10000000000000000−i3i30i3−i300000000000000000000
χ5944-4-444004-44-4-4-44004-4-40000004i−4i00000000000000000000000000004i−4i00000000000000000000000000
χ6044-4-444004-44-4-4-44004-4-4000000−4i4i0000000000000000000000000000−4i4i00000000000000000000000000
χ6144-4-44-2004-4-2-422-200-22223−2300004i−4i0000000000023−230000000−2i32i3000000−2i2i00000000000000000000000000
χ6244-4-44-2004-4-2-422-200-22223−230000−4i4i0000000000023−2300000002i3−2i30000002i−2i00000000000000000000000000
χ6344-4-44-2004-4-2-422-200-222−232300004i−4i00000000000−232300000002i3−2i3000000−2i2i00000000000000000000000000
χ6444-4-44-2004-4-2-422-200-222−23230000−4i4i00000000000−23230000000−2i32i30000002i−2i00000000000000000000000000
χ654-44-44400-44-4-44-4400-44-4000000000000000000000000000000000000000000000000000000000022−220000
χ664-44-44400-44-4-44-4400-44-40000000000000000000000000000000000000000000000000000000000−22220000
χ674-4-44444-4-4-4-44-44400-4-4400-44-44000000000000000-4400000000000000000000000000000000000000000
χ684-4-444-24-4-4-4242-2-20022-2002-2-440000000000000002-20000000−2i32i32i3−2i3000000000000000000000000000000
χ694-4-444-24-4-4-4242-2-20022-2002-2-440000000000000002-200000002i3−2i3−2i32i3000000000000000000000000000000
χ704-4-444-2-44-4-4242-2-20022-200-224-4000000000000000-22004-4000-22-22000000000000000000000000000000
χ714-4-444-2-44-4-4242-2-20022-200-224-4000000000000000-2200-440002-22-2000000000000000000000000000000
χ724-4-44-244-422-4-2-44-20022-200-442-20000000000000002-20000000000000000000000000000000−2i32i300000000
χ734-4-44-244-422-4-2-44-20022-200-442-20000000000000002-200000000000000000000000000000002i3−2i300000000
χ744-4-44-24-4422-4-2-44-20022-2004-4-22000000000000000-22000000000004-40000000000000000-220000000000
χ754-4-44-24-4422-4-2-44-20022-2004-4-22000000000000000-2200000000000-4400000000000000002-20000000000
χ7688-8-8-4800-4484-8-8-400-4440000000000000000000000000000000000000000000000000000000000000000
χ7788-8-8-4-400-44-44442002-2-243−4300000000000000000−23230000000000000000000000000000000000000000000
χ7888-8-8-4-400-44-44442002-2-2−43430000000000000000023−230000000000000000000000000000000000000000000
χ798-88-88-400-884-8-44-4004-440000000000000000000000000000000000000000000000000000000000000000
χ808-88-8-48004-4-848-8-4004-440000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4-4004-444-44200-22-2000000000000000006i−6i000000000000000000000000000000000000000000000
χ828-88-8-4-4004-444-44200-22-200000000000000000−6i6i000000000000000000000000000000000000000000000
χ838-8-88-4-48-8444-44-4200-2-22004-44-4000000000000000-2200000000000000000000000000000000000000000
χ848-8-88-4-4-88444-44-4200-2-2200-44-440000000000000002-200000000000000000000000000000000000000000

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