Finite Group Databasebeta

← Group #11889368

Character table — Group #11889368

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444444668888888888888881212121212121212121212121212121616161616162424242424242424242424243636363648487272
order1222334466666623466612121212121222446666121212121212121212444446688121212121212121212121212444812121212242424244488121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-11111111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-11111-1-11-1-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-111-1-1-11
χ41111111111111111111111111111-1-11111-1-11-1-111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-111-11-1-11-1-1-1-111-1-1111-1
χ511111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1111-1-1-1-11111-1-1-1-111-1-1
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
χ711111111111111111111111111-1-1-1-11111-1-11-1-11111-111-1-1-1-111-1-11111-1-1-1-1-1-11-1-11-111-1111111-1-1-1-11-1
χ811111111111111111111111111-1-1-1-11111-1-11-1-11111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-11111-11
χ911111111111111-11-111111-1-111111-1-1-1-1-1-1-1-11111-1-1-111-111111-1-111111-111-1-1-1-11-11-1-1-111-1-11111-11-1-1
χ1011111111111111-11-111111-1-111111-1-1-1-1-1-1-1-11111-1-1-111-1111-1-1-1-111111-111-1-1-11-111-1-1-1-1-111-1-1-1-11-111
χ1111111111111111-11-111111-1-11111-11-1-1-1-111-1-1-111-1-1-1-1-1-111111-1-1-1-1-1-1-11-1-11111-1-1111-111-1-1-1-1111-11-1
χ1211111111111111-11-111111-1-11111-11-1-1-1-111-1-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11-1-1111-111111-1-1-11111-1-1-11-11
χ1311111111111111-11-111111-1-111-1-11-1-1-1-1-1-1-1-11111-1-11-1-11-1-1-11111-1-1-1-11-111-1-11-11-1-111111-1-1-1-1-1-1-1111
χ1411111111111111-11-111111-1-111-1-11-1-1-1-1-1-1-1-11111-1-11-1-11-1-1-1-1-111-1-1-1-11-111-1-111-11-1111-1-11111111-1-1-1
χ1511111111111111-11-111111-1-111-1-1-11-1-1-1-111-1-1-111-1-11111-1-1-111111111-11-1-111-11-1-1-1-1-1111-1-111-1-11-1-11
χ1611111111111111-11-111111-1-111-1-1-11-1-1-1-111-1-1-111-1-11111-1-1-1-1-1111111-11-1-111-1-111-1-1-11-1-111-1-111-111-1
χ17222222-2-222222222-2222-2-2-2-2-2-22200222200-200-2-2-2-2200-2-22200-2-200000000000000-2002000000000000
χ18222222-2-222222222-2222-2-2-2-2-2-2-2-200222200-200-2-2-2-2-20022-2-2002200000000000000200-2000000000000
χ19222222-2-2222222-222222-2-222-2-22200-2-2-2-200200-2-222-2002-222002200000000000000-200-2000000000000
χ20222222-2-2222222-222222-2-222-2-2-2-200-2-2-2-200200-2-222200-22-2-200-2-2000000000000002002000000000000
χ2122222-12222-1-12-12-12-1-1-1-1-1-1-12222222-1-1-1-1-12-1-1-1-1-1-122222-1-100-1-1-1-1-1-122-1-1-1-12000-1-1-1-1000000000000
χ2222222-12222-1-12-12-12-1-1-1-1-1-1-12222-2-22-1-1-111211-1-1-1-12-2-222-1-100-1-11111-2-21111-2000-111-1000000000000
χ2322222-12222-1-12-12-12-1-1-1-1-1-1-122-2-2222-1-1-1-1-12-1-1-1-1-1-1-2-2-2-2-2110011111122-1-1-1-1-20001111000000000000
χ2422222-12222-1-12-12-12-1-1-1-1-1-1-122-2-2-2-22-1-1-111211-1-1-1-1-222-2-2110011-1-1-1-1-2-2111120001-1-11000000000000
χ2522222-12222-1-12-1-2-1-2-1-1-1-1-11122222-2-211111-2-1-1-1-111-222-22-1-10011-1-1-1-12-2-1-111-2000-1111000000000000
χ2622222-12222-1-12-1-2-1-2-1-1-1-1-1112222-22-2111-1-1-211-1-111-2-2-2-22-1-100111111-2211-1-12000-1-1-11000000000000
χ2722222-12222-1-12-1-2-1-2-1-1-1-1-11122-2-22-2-211111-2-1-1-1-1112-2-22-21100-1-111112-2-1-11120001-1-1-1000000000000
χ2822222-12222-1-12-1-2-1-2-1-1-1-1-11122-2-2-22-2111-1-1-211-1-1112222-21100-1-1-1-1-1-1-2211-1-1-2000111-1000000000000
χ2922222-1-2-222-1-12-12-1-2-1-1-11111-2-222002-1-1-1−i3i3-2−i3i31111200-2-2-1-10011−i3−i3i3i300−i3i3−i3i300001−i3i3-1000000000000
χ3022222-1-2-222-1-12-12-1-2-1-1-11111-2-222002-1-1-1i3−i3-2i3−i31111200-2-2-1-10011i3i3−i3−i300i3−i3i3−i300001i3−i3-1000000000000
χ3122222-1-2-222-1-12-12-1-2-1-1-11111-2-2-2-2002-1-1-1−i3i3-2−i3i31111-200221100-1-1i3i3−i3−i300−i3i3−i3i30000-1i3−i31000000000000
χ3222222-1-2-222-1-12-12-1-2-1-1-11111-2-2-2-2002-1-1-1i3−i3-2i3−i31111-200221100-1-1−i3−i3i3i300i3−i3i3−i30000-1−i3i31000000000000
χ3322222-1-2-222-1-12-1-2-12-1-1-111-1-1-2-22200-2111−i3i32i3−i311-1-1-2002-2-1-100-1-1i3i3−i3−i300i3−i3−i3i300001−i3i31000000000000
χ3422222-1-2-222-1-12-1-2-12-1-1-111-1-1-2-22200-2111i3−i32−i3i311-1-1-2002-2-1-100-1-1−i3−i3i3i300−i3i3i3−i300001i3−i31000000000000
χ3522222-1-2-222-1-12-1-2-12-1-1-111-1-1-2-2-2-200-2111−i3i32i3−i311-1-1200-22110011−i3−i3i3i300i3−i3−i3i30000-1i3−i3-1000000000000
χ3622222-1-2-222-1-12-1-2-12-1-1-111-1-1-2-2-2-200-2111i3−i32−i3i311-1-1200-22110011i3i3−i3−i300−i3i3i3−i30000-1−i3i3-1000000000000
χ372222-1222-1-122-122-12-1-1-12222-1-10022-12-1-122-122-1-1-1-1000000022000000-1-1-1-1-1-102220000-1-1-1-10000-1-100
χ382222-1222-1-122-122-12-1-1-12222-1-10022-12-1-122-122-1-1-1-10000000-2-2000000-1-1-1-1-1-10-2-2-20000111100001100
χ392222-1222-1-122-122-12-1-1-12222-1-100-2-2-12-1-1-2-2-1-2-2-1-1-1-10000000220000001111110-2-220000-1-1-1-100001100
χ402222-1222-1-122-122-12-1-1-12222-1-100-2-2-12-1-1-2-2-1-2-2-1-1-1-10000000-2-2000000111111022-2000011110000-1-100
χ412222-1222-1-122-12-2-1-2-1-1-122-2-2-1-1002-21-211-2-2122-1-111000000022000000-11-1-1110-22-20000-1-11100001-100
χ422222-1222-1-122-12-2-1-2-1-1-122-2-2-1-1002-21-211-2-2122-1-1110000000-2-2000000-11-1-11102-22000011-1-10000-1100
χ432222-1222-1-122-12-2-1-2-1-1-122-2-2-1-100-221-211221-2-2-1-1110000000220000001-111-1-102-2-20000-1-1110000-1100
χ442222-1222-1-122-12-2-1-2-1-1-122-2-2-1-100-221-211221-2-2-1-1110000000-2-20000001-111-1-10-222000011-1-100001-100
χ452-2-22222-2-2-22-22-2020-2-222-2002-200000000000002-20002i−2i00002i−2i002i−2i2i−2i000000000000002i−2i002-2000000
χ462-2-22222-2-2-22-22-2020-2-222-2002-200000000000002-20002i−2i0000−2i2i002i−2i2i−2i00000000000000−2i2i00-22000000
χ472-2-22222-2-2-22-22-2020-2-222-2002-200000000000002-2000−2i2i00002i−2i00−2i2i−2i2i000000000000002i−2i00-22000000
χ482-2-22222-2-2-22-22-2020-2-222-2002-200000000000002-2000−2i2i0000−2i2i00−2i2i−2i2i00000000000000−2i2i002-2000000
χ494444-24-4-4-2-244-244-2-4-2-2-2-4-4-4-4220000-24-2-200200222200000000000000000000000000000000000000000
χ504444-24-4-4-2-244-24-4-24-2-2-2-4-4442200002-42200-20022-2-200000000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2414111-2-2-2-2-2-20044-2-211-2-2-2-2-21111000000000000000-2-2111100000000000000000000
χ524444-2-244-2-2-2-2-2-2414111-2-2-2-2-2-200-4-4-2-21122-222111100000000000000022-1-1-1-100000000000000000000
χ534444-2-244-2-2-2-2-2-2-41-4111-2-222-2-2004-422-1-1222-2-211-1-1000000000000000-2211-1-100000000000000000000
χ544444-2-244-2-2-2-2-2-2-41-4111-2-222-2-200-4422-1-1-2-222211-1-10000000000000002-2-1-11100000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-241-41112222220000-2-211−2i32i32−2i32i3-1-1-1-100000000000000000i3−i3i3−i300000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-241-41112222220000-2-2112i3−2i322i3−2i3-1-1-1-100000000000000000−i3i3−i3i300000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-2-41411122-2-222000022-1-1−2i32i3-22i3−2i3-1-11100000000000000000−i3i3i3−i300000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-2-41411122-2-222000022-1-12i3−2i3-2−2i32i3-1-11100000000000000000i3−i3−i3i300000000000000000000
χ5944-4-444004-4-4-4-44040-44-40000004-4000000000000000000004-40000000000000000000000000000000000
χ6044-4-444004-4-4-4-44040-44-4000000-4400000000000000000000-440000000000000000000000000000000000
χ6144-4-44-2004-422-4-20-202-220023−23004-4000000000000023−2300000-220023−23000000000000000000000000000000
χ6244-4-44-2004-422-4-20-202-220023−2300-44000000000000023−23000002-200−2323000000000000000000000000000000
χ6344-4-44-2004-422-4-20-202-2200−2323004-40000000000000−232300000-2200−2323000000000000000000000000000000
χ6444-4-44-2004-422-4-20-202-2200−232300-440000000000000−2323000002-20023−23000000000000000000000000000000
χ654-44-44400-44-44-4-40404-4-4000000000000000000000000000000000000000000000000000000000022−220000
χ664-44-44400-44-44-4-40404-4-40000000000000000000000000000000000000000000000000000000000−22220000
χ674-4-4444-44-4-44-44-4040-4-44-4400-440000000000000-440000000000000000000000000000000000000000000
χ684-4-444-24-4-4-4-22420-2022-2-22004-40000000000000-220004i−4i00000000−2i2i−2i2i00000000000000000000000000
χ694-4-444-24-4-4-4-22420-2022-2-22004-40000000000000-22000−4i4i000000002i−2i2i−2i00000000000000000000000000
χ704-4-444-2-44-4-4-22420-2022-22-200-4400000000000002-2000000000000023−23−232300000000000000000000000000
χ714-4-444-2-44-4-4-22420-2022-22-200-4400000000000002-20000000000000−232323−2300000000000000000000000000
χ724-4-44-244-4224-4-2-40-2022-24-400-220000000000000-220000000004i−4i00000000000000000000−2i2i0000000000
χ734-4-44-244-4224-4-2-40-2022-24-400-220000000000000-22000000000−4i4i000000000000000000002i−2i0000000000
χ744-4-44-24-44224-4-2-40-2022-2-44002-200000000000002-2000000000000000000000000000000000−2i32i300000000
χ754-4-44-24-44224-4-2-40-2022-2-44002-200000000000002-20000000000000000000000000000000002i3−2i300000000
χ7688-8-8-4800-44-8-8480-404-440000000000000000000000000000000000000000000000000000000000000000
χ7788-8-8-4-400-44444-4020-22-20043−4300000000000000000−232300000000000000000000000000000000000000000
χ7888-8-8-4-400-44444-4020-22-200−43430000000000000000023−2300000000000000000000000000000000000000000
χ798-88-88-400-884-4-840-40-4440000000000000000000000000000000000000000000000000000000000000000
χ808-88-8-48004-4-884-80-40-4440000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4-4004-44-4440202-2-20000000000006-600000000000000000000000000000000000000000000000000
χ828-88-8-4-4004-44-4440202-2-2000000000000-6600000000000000000000000000000000000000000000000000
χ838-8-88-4-48-844-44-44020-2-22-4400-4400000000000002-20000000000000000000000000000000000000000000
χ848-8-88-4-4-8844-44-44020-2-224-4004-40000000000000-220000000000000000000000000000000000000000000

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