Finite Group Databasebeta

← Group #11883993

Character table — Group #11883993

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444444668888888888888881212121212121212121212121212121616161616162424242424242424242424243636363648487272
order1222334466666623466612121212121222446666121212121212121212444446688121212121212121212121212224668121224242424228861228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-11111111111111-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111111-1-1-1-11111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-11
χ41111111111111111111111111111-1-111111-1-1-1-11111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-111-1-1111-1
χ511111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-111-1-11-1-11111-1-1-1-111-1-1
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
χ711111111111111111111111111-1-1-1-111111-1-1-1-11111-1-1-111-1-111-1-11111-1-1-1-1-1-11-1-1111-1-1111111-1-1-1-11-1
χ811111111111111111111111111-1-1-1-111111-1-1-1-11111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-11111-11
χ911111111111111-11-1111111-1-11111-1-1-1-1-1-111-1-111-1-1-1-11-1-11111-1-1-1-1-1-1-1111-1-11-1111-1-1111-1-1-1-111-111-1
χ1011111111111111-11-1111111-1-11111-1-1-1-1-1-111-1-111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1111-1-111-1111-11-1-11111-1-11-1-11
χ1111111111111111-11-1111111-1-1111-11-1-1-1-1-1-1-11111-1-1-1-11111111-1-111111-1-1-111-11-1-1-1-1-1111-1-111111-1-1-1
χ1211111111111111-11-1111111-1-1111-11-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-111111-1-1-111-1-11-1-11-11-1-111-1-1-1-1-1111
χ1311111111111111-11-1111111-1-11-1-11-1-1-1-1-1-111-1-111-1-111-111-1-111111111-1111-1-1-1-11-1-1-11-111-1-111-1-1-11-11
χ1411111111111111-11-1111111-1-11-1-11-1-1-1-1-1-111-1-111-1-111-111-1-1-1-1111111-1111-1-1-11-1-1-111-1-1-111-1-1111-11-1
χ1511111111111111-11-1111111-1-11-1-1-11-1-1-1-1-1-1-11111-1-111-1-1-1-1-11111-1-1-1-11-1-1-11111-111-11-111-1-1-1-1-1-11-111
χ1611111111111111-11-1111111-1-11-1-1-11-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-111-1-1-1-11-1-1-1111-111111-1-1-1111111-11-1-1
χ17222222-2-222222222-2222-2-2-2-2-2-222002222-20000-2-2-2-2-22-2002200-2-200000000000000002-2000000000000
χ18222222-2-222222222-2222-2-2-2-2-2-2-2-2002222-20000-2-2-2-22-2200-2-200220000000000000000-22000000000000
χ19222222-2-2222222-222222-2-2-222-22200-2-2-2-220000-2-2222-2-2002200220000000000000000-2-2000000000000
χ20222222-2-2222222-222222-2-2-222-2-2-200-2-2-2-220000-2-222-22200-2-200-2-2000000000000000022000000000000
χ2122222-1222-12-12-12-12-1-1-12-1-1-1-1222222-1-1-12-1-1-1-1-1-1-1-122222-1-100-1-1-1-1-1-122-1-1-1-1200-1-10-1-1000000000000
χ2222222-1222-12-12-12-12-1-1-12-1-1-1-1222-2-22-1-1-121111-1-1-1-1222-2-2-1-100-1-11111-2-21111-200110-1-1000000000000
χ2322222-1222-12-12-12-12-1-1-12-1-1-1-12-2-2222-1-1-12-1-1-1-1-1-1-1-1-2-2-2-2-2110011111122-1-1-1-1-20011011000000000000
χ2422222-1222-12-12-12-12-1-1-12-1-1-1-12-2-2-2-22-1-1-121111-1-1-1-1-2-2-222110011-1-1-1-1-2-21111200-1-1011000000000000
χ2522222-1222-12-12-1-2-1-2-1-1-12-1-1112222-2-2111-2-1-111-1-111-2-22-2-2-1-100111111-22-1-111200-1-101-1000000000000
χ2622222-1222-12-12-1-2-1-2-1-1-12-1-111222-22-2111-211-1-1-1-111-2-2222-1-10011-1-1-1-12-211-1-1-2001101-1000000000000
χ2722222-1222-12-12-1-2-1-2-1-1-12-1-1112-2-22-2-2111-2-1-111-1-11122-2221100-1-1-1-1-1-1-22-1-111-200110-11000000000000
χ2822222-1222-12-12-1-2-1-2-1-1-12-1-1112-2-2-22-2111-211-1-1-1-11122-2-2-21100-1-111112-211-1-1200-1-10-11000000000000
χ2922222-1-2-22-12-12-12-1-2-1-1-1-21111-222002-1-1-1-2−i3i3−i3i31111-22-200-1-10011−i3−i3i3i300−i3i3−i3i3000−i3i30-11000000000000
χ3022222-1-2-22-12-12-12-1-2-1-1-1-21111-222002-1-1-1-2i3−i3i3−i31111-22-200-1-10011i3i3−i3−i300i3−i3i3−i3000i3−i30-11000000000000
χ3122222-1-2-22-12-12-12-1-2-1-1-1-21111-2-2-2002-1-1-1-2−i3i3−i3i311112-22001100-1-1i3i3−i3−i300−i3i3−i3i3000i3−i301-1000000000000
χ3222222-1-2-22-12-12-12-1-2-1-1-1-21111-2-2-2002-1-1-1-2i3−i3i3−i311112-22001100-1-1−i3−i3i3i300i3−i3i3−i3000−i3i301-1000000000000
χ3322222-1-2-22-12-12-1-2-12-1-1-1-211-1-1-22200-21112−i3i3i3−i311-1-12-2-200-1-100-1-1i3i3−i3−i300−i3i3i3−i3000−i3i3011000000000000
χ3422222-1-2-22-12-12-1-2-12-1-1-1-211-1-1-22200-21112i3−i3−i3i311-1-12-2-200-1-100-1-1−i3−i3i3i300i3−i3−i3i3000i3−i3011000000000000
χ3522222-1-2-22-12-12-1-2-12-1-1-1-211-1-1-2-2-200-21112−i3i3i3−i311-1-1-22200110011−i3−i3i3i300−i3i3i3−i3000i3−i30-1-1000000000000
χ3622222-1-2-22-12-12-1-2-12-1-1-1-211-1-1-2-2-200-21112i3−i3−i3i311-1-1-22200110011i3i3−i3−i300i3−i3−i3i3000−i3i30-1-1000000000000
χ372222-1222-12-12-122-12-1-1-1-12222-10022-12-1-1-12222-1-1-1-1000000022000000-1-1-1-1-1-102200200-1-1-1-10000-1-100
χ382222-1222-12-12-122-12-1-1-1-12222-10022-12-1-1-12222-1-1-1-10000000-2-2000000-1-1-1-1-1-10-2-200-200111100001100
χ392222-1222-12-12-122-12-1-1-1-12222-100-2-2-12-1-1-1-2-2-2-2-1-1-1-10000000220000001111110-2-200200-1-1-1-100001100
χ402222-1222-12-12-122-12-1-1-1-12222-100-2-2-12-1-1-1-2-2-2-2-1-1-1-10000000-2-200000011111102200-20011110000-1-100
χ412222-1222-12-12-12-2-1-2-1-1-1-122-2-2-1002-21-211122-2-2-1-1110000000220000001-1-1-1110-2200-200-1-11100001-100
χ422222-1222-12-12-12-2-1-2-1-1-1-122-2-2-1002-21-211122-2-2-1-1110000000-2-20000001-1-1-11102-20020011-1-10000-1100
χ432222-1222-12-12-12-2-1-2-1-1-1-122-2-2-100-221-2111-2-222-1-111000000022000000-1111-1-102-200-200-1-1110000-1100
χ442222-1222-12-12-12-2-1-2-1-1-1-122-2-2-100-221-2111-2-222-1-1110000000-2-2000000-1111-1-10-220020011-1-100001-100
χ452-2-2222-22-2-22-2-22020-2-22-22-200200000000000002-2000002-2002-2002-22-2000000000000002-2002-2000000
χ462-2-2222-22-2-22-2-22020-2-22-22-200200000000000002-2000002-200-22002-22-200000000000000-2200-22000000
χ472-2-2222-22-2-22-2-22020-2-22-22-200200000000000002-200000-22002-200-22-22000000000000002-200-22000000
χ482-2-2222-22-2-22-2-22020-2-22-22-200200000000000002-200000-2200-2200-22-2200000000000000-22002-2000000
χ494444-24-4-4-24-24-244-2-4-2-2-22-4-4-4-420000-24-2-220000222200000000000000000000000000000000000000000
χ504444-24-4-4-24-24-24-4-24-2-2-22-4-444200002-422-2000022-2-200000000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2414111-2-2-2-2-2-20044-2-211-2-2-2-2-21111000000000000000-2-2111100000000000000000000
χ524444-2-244-2-2-2-2-2-2414111-2-2-2-2-2-200-4-4-2-211-22222111100000000000000022-1-1-1-100000000000000000000
χ534444-2-244-2-2-2-2-2-2-41-4111-2-2-222-2004-422-1-12-2-22211-1-10000000000000002-211-1-100000000000000000000
χ544444-2-244-2-2-2-2-2-2-41-4111-2-2-222-200-4422-1-1222-2-211-1-1000000000000000-22-1-11100000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-241-41112222220000-2-2112−2i32i3−2i32i3-1-1-1-100000000000000000i3−i3i3−i300000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-241-41112222220000-2-21122i3−2i32i3−2i3-1-1-1-100000000000000000−i3i3−i3i300000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-2-414111222-2-22000022-1-1-2−2i32i32i3−2i3-1-11100000000000000000i3−i3−i3i300000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-2-414111222-2-22000022-1-1-22i3−2i3−2i32i3-1-11100000000000000000−i3i3i3−i300000000000000000000
χ5944-4-4440044-4-4-4-40404-4-40000000000000000000000000000000000000000000000000000000000−2i22i20000
χ6044-4-4440044-4-4-4-40404-4-400000000000000000000000000000000000000000000000000000000002i2−2i20000
χ614-44-44400-4-4-444-4040-44-40000004-4000000000000000000004-40000000000000000000000000000000000
χ624-44-44400-4-4-444-4040-44-4000000-4400000000000000000000-440000000000000000000000000000000000
χ634-44-44-200-42-4-2420-202-2200023−2304-4000000000000023−2300000-220023−23000000000000000000000000000000
χ644-44-44-200-42-4-2420-202-2200023−230-44000000000000023−23000002-200−2323000000000000000000000000000000
χ654-44-44-200-42-4-2420-202-22000−232304-40000000000000−232300000-2200−2323000000000000000000000000000000
χ664-44-44-200-42-4-2420-202-22000−23230-440000000000000−2323000002-20023−23000000000000000000000000000000
χ674-4-44444-4-4-44-4-44040-4-444-4400-40000000000000-440000000000000000000000000000000000000000000
χ684-4-444-24-4-4242-4-20-2022-242-200-400000000000002-20000000000000−2i32i32i3−2i300000000000000000000000000
χ694-4-444-24-4-4242-4-20-2022-242-200-400000000000002-200000000000002i3−2i3−2i32i300000000000000000000000000
χ704-4-444-2-44-4242-4-20-2022-2-4-220040000000000000-22000004-4000000-22-2200000000000000000000000000
χ714-4-444-2-44-4242-4-20-2022-2-4-220040000000000000-2200000-440000002-22-200000000000000000000000000
χ724-4-44-244-42-4-2-4240-2022-2-2-4400200000000000002-200000000000000000000000000000000023−2300000000
χ734-4-44-244-42-4-2-4240-2022-2-2-4400200000000000002-2000000000000000000000000000000000−232300000000
χ744-4-44-24-442-4-2-4240-2022-224-400-20000000000000-220000000004-400000000000000000000-220000000000
χ754-4-44-24-442-4-2-4240-2022-224-400-20000000000000-22000000000-44000000000000000000002-20000000000
χ7688-8-88-4008-4-84-840-40-4440000000000000000000000000000000000000000000000000000000000000000
χ7788-8-8-4800-484-84-80-40-4440000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4-400-4-444440202-2-20000000000006-600000000000000000000000000000000000000000000000000
χ7988-8-8-4-400-4-444440202-2-2000000000000-6600000000000000000000000000000000000000000000000000
χ808-88-8-48004-848-4-80-404-440000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4-400444-4-44020-22-200043−430000000000000000−232300000000000000000000000000000000000000000
χ828-88-8-4-400444-4-44020-22-2000−4343000000000000000023−2300000000000000000000000000000000000000000
χ838-8-88-4-48-844-444-4020-2-22-44-40040000000000000-220000000000000000000000000000000000000000000
χ848-8-88-4-4-8844-444-4020-2-224-4400-400000000000002-20000000000000000000000000000000000000000000

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