Finite Group Databasebeta

← Group #11889214

Character table — Group #11889214

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444444668888888888888881212121212121212121212121212121616161616162424242424242424242424243636363648487272
order12223344666666234666121212121212444466661212121212121212122444488121212121212121212121212121244468121212242424242288121228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1111111111111111-1-11-1111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-11111-1-11-1-11111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1111-1-11111-1-111-1-1-11
χ41111111111111111111111111111-1-11111-1-11-1-11111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1111-11-1-1-1-1-1-111-1-1111-1
χ511111111111111111111111111-1-1111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1111111-111-11-1-1-11111-1-1-1-111-1-1
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
χ711111111111111111111111111-1-1-1-11111-1-11-1-11111-1-1-11111-1-11111-1-1-1-1-1-1-1-11-1-1-11-111111111-1-1-1-11-1
χ811111111111111111111111111-1-1-1-11111-1-11-1-11111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-11111-11
χ911111111111111-11-111111-1-111111-1-1-1-1-1-1-1-11111-1-11-1-11111111111-1-11-111-1-1-11-11-1-1-1-111-1-11111-11-1-1
χ1011111111111111-11-111111-1-111111-1-1-1-1-1-1-1-11111-1-11-1-111-1-1111111-1-11-111-1-1-1-1111-1-1-1-1-111-1-1-1-11-111
χ1111111111111111-11-111111-1-11111-11-1-1-1-111-1-1-111-1-11-1-1-1-11111-1-1-1-1-1-1-11-1-1111-111-1-11111-1-1-1-1111-11-1
χ1211111111111111-11-111111-1-11111-11-1-1-1-111-1-1-111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-11-1-11111-111-111-1-11111-1-1-11-11
χ1311111111111111-11-111111-1-111-1-11-1-1-1-1-1-1-1-11111-1-1-111-1-111-1-1-1-1-1-1111-111-1-111-1-1-111111-1-1-1-1-1-1-1111
χ1411111111111111-11-111111-1-111-1-11-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1111-111-1-11-11-11111-1-11111111-1-1-1
χ1511111111111111-11-111111-1-111-1-1-11-1-1-1-111-1-1-111-1-1-1111111-1-1111111-11-1-111-1-11-1-11-1-111-1-111-1-11-1-11
χ1611111111111111-11-111111-1-111-1-1-11-1-1-1-111-1-1-111-1-1-11111-1-1-1-1111111-11-1-111-11-1-111-1-1-1-111-1-111-111-1
χ17222222-2-222222222-2222-2-2-2-2-2-22200222200-200-2-2-2-2-2-220000220000-2-2000000000-20200000000000000
χ18222222-2-222222222-2222-2-2-2-2-2-2-2-200222200-200-2-2-2-222-20000-2-200002200000000020-200000000000000
χ19222222-2-2222222-222222-2-222-2-22200-2-2-2-200200-2-222-22-2000022000022000000000-20-200000000000000
χ20222222-2-2222222-222222-2-222-2-2-2-200-2-2-2-200200-2-2222-220000-2-20000-2-200000000020200000000000000
χ2122222-12222-1-12-12-12-1-1-1-1-1-1-12222222-1-1-1-1-12-1-1-1-1-1-12222200-1-1-1-1-1-1-1-122-1-1-1-1200-10-1-1-1000000000000
χ2222222-12222-1-12-12-12-1-1-1-1-1-1-12222-2-22-1-1-111211-1-1-1-1222-2-200-1-11111-1-1-2-21111-200-10-111000000000000
χ2322222-12222-1-12-12-12-1-1-1-1-1-1-122-2-2222-1-1-1-1-12-1-1-1-1-1-1-2-2-2-2-2001111111122-1-1-1-1-20010111000000000000
χ2422222-12222-1-12-12-12-1-1-1-1-1-1-122-2-2-2-22-1-1-111211-1-1-1-1-2-2-2220011-1-1-1-111-2-21111200101-1-1000000000000
χ2522222-12222-1-12-1-2-1-2-1-1-1-1-11122222-2-211111-2-1-1-1-1112-2-22200-1-1-1-1-1-1112-2-1-111-200-10111000000000000
χ2622222-12222-1-12-1-2-1-2-1-1-1-1-1112222-22-2111-1-1-211-1-1112-2-2-2-200-1-1111111-2211-1-1200-101-1-1000000000000
χ2722222-12222-1-12-1-2-1-2-1-1-1-1-11122-2-22-2-211111-2-1-1-1-111-222-2-200111111-1-12-2-1-11120010-1-1-1000000000000
χ2822222-12222-1-12-1-2-1-2-1-1-1-1-11122-2-2-22-2111-1-1-211-1-111-222220011-1-1-1-1-1-1-2211-1-1-20010-111000000000000
χ2922222-1-2-222-1-12-12-1-2-1-1-11111-2-222002-1-1-1−i3i3-2−i3i31111-2-220000-1-1−i3−i3i3i31100−i3i3−i3i300010-1−i3i3000000000000
χ3022222-1-2-222-1-12-12-1-2-1-1-11111-2-222002-1-1-1i3−i3-2i3−i31111-2-220000-1-1i3i3−i3−i31100i3−i3i3−i300010-1i3−i3000000000000
χ3122222-1-2-222-1-12-12-1-2-1-1-11111-2-2-2-2002-1-1-1−i3i3-2−i3i3111122-2000011i3i3−i3−i3-1-100−i3i3−i3i3000-101i3−i3000000000000
χ3222222-1-2-222-1-12-12-1-2-1-1-11111-2-2-2-2002-1-1-1i3−i3-2i3−i3111122-2000011−i3−i3i3i3-1-100i3−i3i3−i3000-101−i3i3000000000000
χ3322222-1-2-222-1-12-1-2-12-1-1-111-1-1-2-22200-2111−i3i32i3−i311-1-1-22-20000-1-1i3i3−i3−i3-1-100i3−i3−i3i3000101−i3i3000000000000
χ3422222-1-2-222-1-12-1-2-12-1-1-111-1-1-2-22200-2111i3−i32−i3i311-1-1-22-20000-1-1−i3−i3i3i3-1-100−i3i3i3−i3000101i3−i3000000000000
χ3522222-1-2-222-1-12-1-2-12-1-1-111-1-1-2-2-2-200-2111−i3i32i3−i311-1-12-22000011−i3−i3i3i31100i3−i3−i3i3000-10-1i3−i3000000000000
χ3622222-1-2-222-1-12-1-2-12-1-1-111-1-1-2-2-2-200-2111i3−i32−i3i311-1-12-22000011i3i3−i3−i31100−i3i3i3−i3000-10-1−i3i3000000000000
χ372222-1222-1-122-122-12-1-1-12222-1-10022-12-1-122-122-1-1-1-1000002200000000-1-1-1-1-1-102202000-1-1-1-10000-1-100
χ382222-1222-1-122-122-12-1-1-12222-1-10022-12-1-122-122-1-1-1-100000-2-200000000-1-1-1-1-1-10-2-20-2000111100001100
χ392222-1222-1-122-122-12-1-1-12222-1-100-2-2-12-1-1-2-2-1-2-2-1-1-1-10000022000000001111110-2-202000-1-1-1-100001100
χ402222-1222-1-122-122-12-1-1-12222-1-100-2-2-12-1-1-2-2-1-2-2-1-1-1-100000-2-2000000001111110220-200011110000-1-100
χ412222-1222-1-122-12-2-1-2-1-1-122-2-2-1-1002-21-211-2-2122-1-111000002200000000-11-1-11102-20-2000-1-11100001-100
χ422222-1222-1-122-12-2-1-2-1-1-122-2-2-1-1002-21-211-2-2122-1-11100000-2-200000000-11-1-1110-220200011-1-10000-1100
χ432222-1222-1-122-12-2-1-2-1-1-122-2-2-1-100-221-211221-2-2-1-1110000022000000001-111-1-10-220-2000-1-1110000-1100
χ442222-1222-1-122-12-2-1-2-1-1-122-2-2-1-100-221-211221-2-2-1-11100000-2-2000000001-111-1-102-20200011-1-100001-100
χ452-22-2222-2-2-22-22-2020-2-222-2002-200000000000002-2000002i−2i2i−2i002i−2i2i−2i00000000000000002i−2i002-2000000
χ462-22-2222-2-2-22-22-2020-2-222-2002-200000000000002-2000002i−2i−2i2i002i−2i2i−2i0000000000000000−2i2i00-22000000
χ472-22-2222-2-2-22-22-2020-2-222-2002-200000000000002-200000−2i2i2i−2i00−2i2i−2i2i00000000000000002i−2i00-22000000
χ482-22-2222-2-2-22-22-2020-2-222-2002-200000000000002-200000−2i2i−2i2i00−2i2i−2i2i0000000000000000−2i2i002-2000000
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
χ5944-4-444004-4-4-4-44040-44-40000004i−4i00000000000000000000004i−4i00000000000000000000000000000000
χ6044-4-444004-4-4-4-44040-44-4000000−4i4i0000000000000000000000−4i4i00000000000000000000000000000000
χ6144-4-44-2004-422-4-20-202-220023−23004i−4i000000000000023−230000000−2i2i0000−2i32i300000000000000000000000000
χ6244-4-44-2004-422-4-20-202-220023−2300−4i4i000000000000023−2300000002i−2i00002i3−2i300000000000000000000000000
χ6344-4-44-2004-422-4-20-202-2200−2323004i−4i0000000000000−23230000000−2i2i00002i3−2i300000000000000000000000000
χ6444-4-44-2004-422-4-20-202-2200−232300−4i4i0000000000000−232300000002i−2i0000−2i32i300000000000000000000000000
χ654-44-444-44-4-44-44-4040-4-44-4400-440000000000000-440000000000000000000000000000000000000000000
χ664-44-44-24-4-4-4-22420-2022-2-22004-40000000000000-22000004i−4i0000−2i2i−2i2i0000000000000000000000000000
χ674-44-44-24-4-4-4-22420-2022-2-22004-40000000000000-2200000−4i4i00002i−2i2i−2i0000000000000000000000000000
χ684-44-44-2-44-4-4-22420-2022-22-200-4400000000000002-20000000000023−23−23230000000000000000000000000000
χ694-44-44-2-44-4-4-22420-2022-22-200-4400000000000002-200000000000−232323−230000000000000000000000000000
χ704-44-4-244-4224-4-2-40-2022-24-400-220000000000000-2200000004i−4i0000000000000000000000−2i2i0000000000
χ714-44-4-244-4224-4-2-40-2022-24-400-220000000000000-220000000−4i4i00000000000000000000002i−2i0000000000
χ724-44-4-24-44224-4-2-40-2022-2-44002-200000000000002-2000000000000000000000000000000000−2i32i300000000
χ734-44-4-24-44224-4-2-40-2022-2-44002-200000000000002-20000000000000000000000000000000002i3−2i300000000
χ744-4-444400-44-44-4-40404-4-40000000000000000000000000000000000000000000000000000000000−2i22i20000
χ754-4-444400-44-44-4-40404-4-400000000000000000000000000000000000000000000000000000000002i2−2i20000
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
χ798-88-8-4-48-844-44-44020-2-22-4400-4400000000000002-20000000000000000000000000000000000000000000
χ808-88-8-4-4-8844-44-44020-2-224-4004-40000000000000-220000000000000000000000000000000000000000000
χ818-8-888-400-884-4-840-40-4440000000000000000000000000000000000000000000000000000000000000000
χ828-8-88-48004-4-884-80-40-4440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-4004-44-4440202-2-20000000000006-600000000000000000000000000000000000000000000000000
χ848-8-88-4-4004-44-4440202-2-2000000000000-6600000000000000000000000000000000000000000000000000

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