Finite Group Databasebeta

← Group #11889756

Character table — Group #11889756

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444444668888888888888881212121212121212121212121212121616161616162424242424242424242424243636363648487272
order1222334466666623466612121212121222246666661212121212121222444666666881212666121212444812121212242424244488121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-111-1-111111-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-11111-1-111-1-1-11
χ41111111111111111111111111111-1-111-1-111-1-111111-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-111-111-1-1-1-1-1-111-1-1111-1
χ511111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1111-1-1-1-11111-1-1-1-111-1-1
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
χ711111111111111111111111111-1-1-1-111-1-111-1-11111111-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-11-1-111111111-1-1-1-11-1
χ811111111111111111111111111-1-1-1-111-1-111-1-11111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-11111-11
χ911111111111111-11-1111111-1-11111-1-1-111-1-1-1-1-111-1-111-11-111111111-1-1111-1-1-1-1-11-1-11-1-111-1-111111-1-1-1
χ1011111111111111-11-1111111-1-11111-1-1-111-1-1-1-1-111-1-111-11-1111111-1-1-1-1111-1-1-1-11-11-11-1-1-1-111-1-1-1-1-1111
χ1111111111111111-11-1111111-1-1111-11-1-1-1-1-1-111-111-1-1-1-1-11-111-1-1-1-111-1-1-1-1-111111-1-1-111111-1-1-1-111-111-1
χ1211111111111111-11-1111111-1-1111-11-1-1-1-1-1-111-111-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-11111-111-1111-1-11111-1-11-1-11
χ1311111111111111-11-1111111-1-11-1-11-1-1-111-1-1-1-1-111-1-1-1-11-11-1-1-1-1-1-11111111-1-1-11-11-11-11111-1-1-1-1-1-11-111
χ1411111111111111-11-1111111-1-11-1-11-1-1-111-1-1-1-1-111-1-1-1-11-11-1-1-1-1-1-1-1-111111-1-1-111-111-111-1-1111111-11-1-1
χ1511111111111111-11-1111111-1-11-1-1-11-1-1-1-1-1-111-111-1-1111-11-1-111111111-1-1-1111-11-1-11-1-1-111-1-111-1-1-11-11
χ1611111111111111-11-1111111-1-11-1-1-11-1-1-1-1-1-111-111-1-1111-11-1-11111-1-111-1-1-1111-1-1111-1-1-1-1-111-1-1111-11-1
χ17222222-2-222222222-2222-2-2-2-2-2-2220022002200-2-2-2-2-2002-2-222000000-2-200000000002-200000000000000
χ18222222-2-222222222-2222-2-2-2-2-2-2-2-20022002200-2-2-2-2-200-222-2-2000000220000000000-2200000000000000
χ19222222-2-2222222-222222-2-2-222-22200-2-200-2-2002-2-22200-2-2222000000220000000000-2-200000000000000
χ20222222-2-2222222-222222-2-2-222-2-2-200-2-200-2-2002-2-2220022-2-2-2000000-2-200000000002200000000000000
χ2122222-1222-1-122-12-12-1-1-12-1-1-1-1222222-1-1-1-1-1-1-12-1-1-1-122222-1-1-1-1-1-100-1-12-1-12-1-12000-1-1-1-1000000000000
χ2222222-1222-1-122-12-12-1-1-12-1-1-1-1222-2-22-111-1-1112-1-1-1-1-2-2222-1-1111100-1-1-211-211-2000-1-111000000000000
χ2322222-1222-1-122-12-12-1-1-12-1-1-1-12-2-2222-1-1-1-1-1-1-12-1-1-1-1-2-2-2-2-211111100112-1-12-1-1-20001111000000000000
χ2422222-1222-1-122-12-12-1-1-12-1-1-1-12-2-2-2-22-111-1-1112-1-1-1-122-2-2-211-1-1-1-10011-211-211200011-1-1000000000000
χ2522222-1222-1-122-1-2-1-2-1-1-12-1-1112222-2-21-1-11111-2-1-11122-22-2-1-1-1-1-1-100112-1-1-211-20001-111000000000000
χ2622222-1222-1-122-1-2-1-2-1-1-12-1-111222-22-211111-1-1-2-1-111-2-2-22-2-1-111110011-2112-1-120001-1-1-1000000000000
χ2722222-1222-1-122-1-2-1-2-1-1-12-1-1112-2-22-2-21-1-11111-2-1-111-2-22-2211111100-1-12-1-1-2112000-11-1-1000000000000
χ2822222-1222-1-122-1-2-1-2-1-1-12-1-1112-2-2-22-211111-1-1-2-1-111222-2211-1-1-1-100-1-1-2112-1-1-2000-1111000000000000
χ2922222-1-2-22-1-122-12-1-2-1-1-1-21111-222002-1−i3i3-1-1−i3i3-21111002-2-2-1-1−i3−i3i3i300110−i3i30−i3i30000-11−i3i3000000000000
χ3022222-1-2-22-1-122-12-1-2-1-1-1-21111-222002-1i3−i3-1-1i3−i3-21111002-2-2-1-1i3i3−i3−i300110i3−i30i3−i30000-11i3−i3000000000000
χ3122222-1-2-22-1-122-12-1-2-1-1-1-21111-2-2-2002-1−i3i3-1-1−i3i3-2111100-22211i3i3−i3−i300-1-10−i3i30−i3i300001-1i3−i3000000000000
χ3222222-1-2-22-1-122-12-1-2-1-1-1-21111-2-2-2002-1i3−i3-1-1i3−i3-2111100-22211−i3−i3i3i300-1-10i3−i30i3−i300001-1−i3i3000000000000
χ3322222-1-2-22-1-122-1-2-12-1-1-1-211-1-1-22200-21−i3i311i3−i3211-1-100-2-22-1-1−i3−i3i3i300-1-10−i3i30i3−i3000011i3−i3000000000000
χ3422222-1-2-22-1-122-1-2-12-1-1-1-211-1-1-22200-21i3−i311−i3i3211-1-100-2-22-1-1i3i3−i3−i300-1-10i3−i30−i3i3000011−i3i3000000000000
χ3522222-1-2-22-1-122-1-2-12-1-1-1-211-1-1-2-2-200-21−i3i311i3−i3211-1-10022-211i3i3−i3−i300110−i3i30i3−i30000-1-1−i3i3000000000000
χ3622222-1-2-22-1-122-1-2-12-1-1-1-211-1-1-2-2-200-21i3−i311−i3i3211-1-10022-211−i3−i3i3i300110i3−i30−i3i30000-1-1i3−i3000000000000
χ372222-1222-122-1-122-12-1-1-1-12222-10022-1222-1-122-1-1-1-1-1000000000002200-1-1-1-1-1-102220000-1-1-1-10000-1-100
χ382222-1222-122-1-122-12-1-1-1-12222-10022-1222-1-122-1-1-1-1-100000000000-2-200-1-1-1-1-1-10-2-2-20000111100001100
χ392222-1222-122-1-122-12-1-1-1-12222-100-2-2-12-2-2-1-1-2-2-1-1-1-1-10000000000022001111110-2-220000-1-1-1-100001100
χ402222-1222-122-1-122-12-1-1-1-12222-100-2-2-12-2-2-1-1-2-2-1-1-1-1-100000000000-2-200111111022-2000011110000-1-100
χ412222-1222-122-1-12-2-1-2-1-1-1-122-2-2-1002-21-22211-2-21-1-111000000000002200-1-1-11110-22-20000-1-1110000-1100
χ422222-1222-122-1-12-2-1-2-1-1-1-122-2-2-1002-21-22211-2-21-1-11100000000000-2-200-1-1-111102-22000011-1-100001-100
χ432222-1222-122-1-12-2-1-2-1-1-1-122-2-2-100-221-2-2-211221-1-111000000000002200111-1-1-102-2-20000-1-11100001-100
χ442222-1222-122-1-12-2-1-2-1-1-1-122-2-2-100-221-2-2-211221-1-11100000000000-2-200111-1-1-10-222000011-1-10000-1100
χ452-22-2222-2-2-2-22-22020-22-222-200-200000000000002-2002-2000002-22-22i−2i00000000000000002i−2i002i−2i000000
χ462-22-2222-2-2-2-22-22020-22-222-200-200000000000002-2002-2000002-22-2−2i2i0000000000000000−2i2i00−2i2i000000
χ472-22-2222-2-2-2-22-22020-22-222-200-200000000000002-200-2200000-22-222i−2i00000000000000002i−2i00−2i2i000000
χ482-22-2222-2-2-2-22-22020-22-222-200-200000000000002-200-2200000-22-22−2i2i0000000000000000−2i2i002i−2i000000
χ494444-24-4-4-244-2-244-2-4-2-2-22-4-4-4-420000-2400-2-2002222200000000000000000000000000000000000000000
χ504444-24-4-4-244-2-24-4-24-2-2-22-4-444200002-4002200-222-2-200000000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2414111-2-2-2-2-2-20044-2-2-2-211-2-2-21111000000000000000-211-21100000000000000000000
χ524444-2-244-2-2-2-2-2-2414111-2-2-2-2-2-200-4-4-2-2221122-211110000000000000002-1-12-1-100000000000000000000
χ534444-2-244-2-2-2-2-2-2-41-4111-2-2-222-2004-422-2-2-1-122211-1-1000000000000000-2112-1-100000000000000000000
χ544444-2-244-2-2-2-2-2-2-41-4111-2-2-222-200-442222-1-1-2-2211-1-10000000000000002-1-1-21100000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-241-41112222220000-2-2−2i32i311−2i32i32-1-1-1-10000000000000000i3−i30i3−i300000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-241-41112222220000-2-22i3−2i3112i3−2i32-1-1-1-10000000000000000−i3i30−i3i300000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-2-414111222-2-22000022−2i32i3-1-12i3−2i3-2-1-1110000000000000000i3−i30−i3i300000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-2-414111222-2-220000222i3−2i3-1-1−2i32i3-2-1-1110000000000000000−i3i30i3−i300000000000000000000
χ5944-4-4440044-4-4-4-40404-4-40000004-4000000000000000000004-40000000000000000000000000000000000
χ6044-4-4440044-4-4-4-40404-4-4000000-4400000000000000000000-440000000000000000000000000000000000
χ6144-4-44-2004-22-4-420-20-22200023−2304-4000000000000023−2300000-2200000023−2300000000000000000000000000
χ6244-4-44-2004-22-4-420-20-22200023−230-44000000000000023−23000002-2000000−232300000000000000000000000000
χ6344-4-44-2004-22-4-420-20-222000−232304-40000000000000−232300000-22000000−232300000000000000000000000000
χ6444-4-44-2004-22-4-420-20-222000−23230-440000000000000−2323000002-200000023−2300000000000000000000000000
χ654-44-444-44-4-4-44-44040-44-4-4-440040000000000000-440000000000000000000000000000000000000000000
χ664-44-44-24-4-4224-4-20-202-224-2200-40000000000000-22004-400000-22-22000000000000000000000000000000
χ674-44-44-24-4-4224-4-20-202-224-2200-40000000000000-2200-44000002-22-2000000000000000000000000000000
χ684-44-44-2-44-4224-4-20-202-22-42-200400000000000002-2000000000−2i32i32i3−2i3000000000000000000000000000000
χ694-44-44-2-44-4224-4-20-202-22-42-200400000000000002-20000000002i3−2i3−2i32i3000000000000000000000000000000
χ704-44-4-244-42-4-4-2240-202-22-24-40020000000000000-2200000000000004i−4i0000000000000000−2i2i0000000000
χ714-44-4-244-42-4-4-2240-202-22-24-40020000000000000-220000000000000−4i4i00000000000000002i−2i0000000000
χ724-44-4-24-442-4-4-2240-202-222-4400-200000000000002-2000000000000000000000000000000000−2i32i300000000
χ734-44-4-24-442-4-4-2240-202-222-4400-200000000000002-20000000000000000000000000000000002i3−2i300000000
χ744-4-444400-4-44-44-4040-4-44000000000000000000000000000000000000000000000000000000000022−220000
χ754-4-444400-4-44-44-4040-4-440000000000000000000000000000000000000000000000000000000000−22220000
χ7688-8-8-4800-48-844-80-40-4440000000000000000000000000000000000000000000000000000000000000000
χ7788-8-8-4-400-4-444440202-2-200043−430000000000000000−232300000000000000000000000000000000000000000
χ7888-8-8-4-400-4-444440202-2-2000−4343000000000000000023−2300000000000000000000000000000000000000000
χ798-88-8-4-48-8444-44-4020-22-2-4-4400400000000000002-20000000000000000000000000000000000000000000
χ808-88-8-4-4-88444-44-4020-22-244-400-40000000000000-220000000000000000000000000000000000000000000
χ818-8-888-400-84-4-8840-4044-40000000000000000000000000000000000000000000000000000000000000000
χ828-8-88-48004-884-4-80-4044-40000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-40044-44-44020-2-22000000000000006-6000000000000000000000000000000000000000000000000
χ848-8-88-4-40044-44-44020-2-2200000000000000-66000000000000000000000000000000000000000000000000

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