Finite Group Databasebeta

← Group #11872454

Character table — Group #11872454

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444444488888888888888812121212121212121212121216161616161618181818242424242424242424242424242436363636484872
order122233446666662236668812121212466661212242424242424242424444444121212126612121212444444688121212121224242424448812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1111-1-1-1-1-111111111-1-1-1-11-11-11-1-1-11111-1-1-1-1-1-1-11-1
χ311111111111111111111111111111111111111111-11-1-1-111111-1-1111111-1-1-1-1-11-11-1111-1-1-1-111-1-1-1-11-1-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ511111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-11-1-111111-1-1-1-111-1-1-1-1-1
χ611111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-11-1111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-111-1-1111-11
χ711111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-11-1-1-111111-1-111-1-1-1-1-1-1-1-11-1-1-11111-1-111-1-1-1-111-111
χ811111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-111-1-1-1-1-1111111-1-111-1
χ911111111111111-1-11111111111-1-1-1-1-11111111111111-1-11-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-1-1
χ1011111111111111-1-11111111111-1-1-1-1-111111111111-11-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-111-11-111-1-111-1-111-1-11-11
χ1111111111111111-1-11111111111-1-1-1-1-11111111111-11-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-11-1-111-1-11111-1-1-111
χ1211111111111111-1-11111111111-1-1-1-1-11111111111-1-1-111-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1
χ1311111111111111-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1111-1-11-1-11111-1-111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1111
χ1411111111111111-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-11-11-1-1-111-1-111-1-11111-1-1-1-11-111-1-111-1-1-1-1111111-11-1
χ1511111111111111-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-11-1111-1-111-1-1-1-11111-1-1-1-1-11-1-111-1-11111-1-111111-1-1
χ1611111111111111-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-111111111-1-1-111-111111111-1-1-1-1-1-11
χ17222222-2-222222200222200-2-2-2-200000-2-20000000022-200-200-2-2-2-2000000-2-222002002000000000000000
χ18222222-2-222222200222200-2-2-2-200000-2-2000000002-2-20020022-2-200000022-2-200200-2000000000000000
χ19222222-2-222222200222200-2-2-2-200000-2-200000000-22200-200-2-22200000022-2-200-2002000000000000000
χ20222222-2-222222200222200-2-2-2-200000-2-200000000-2-22002002222000000-2-22200-200-2000000000000000
χ2122222-122-12-122-122-1-1-1-1222-1-12222-1-1-1-1-1-122-1-1-1-12022200000-1-1-1-1-12-1-1000020-102000-1-1-1-10000000-10
χ2222222-122-12-122-122-1-1-1-1222-1-12222-1-1-1-1-1-122-1-1-1-1-20-2-2-20000011-1-1-12-1-10000-2010-20001111000000010
χ2322222-122-12-122-122-1-1-1-1-2-22-1-12-222-1-1-1-111-2-211112022200000-1-1-1-11-2110000-20-10-2000-1-111000000010
χ2422222-122-12-122-122-1-1-1-1-2-22-1-12-222-1-1-1-111-2-21111-20-2-2-20000011-1-11-21100002010200011-1-10000000-10
χ2522222-122-12-122-1-2-2-1-1-1-1222-1-12-2-2-211-1-1-1-122-1-1-1-1202-2-200000-1-1111-2110000-20-10200011-1-1000000010
χ2622222-122-12-122-1-2-2-1-1-1-1222-1-12-2-2-211-1-1-1-122-1-1-1-1-20-2220000011111-21100002010-2000-1-1110000000-10
χ2722222-122-12-122-1-2-2-1-1-1-1-2-22-1-122-2-211-1-111-2-21111202-2-200000-1-111-12-1-1000020-10-200011110000000-10
χ2822222-122-12-122-1-2-2-1-1-1-1-2-22-1-122-2-211-1-111-2-21111-20-222000001111-12-1-10000-20102000-1-1-1-1000000010
χ292222-12222-12-1-1222-1-1-1-122-122-12-1-122-1-122-1-1-1-1-1-102000222-1-100-1-12-1-1-1000002020-1-1-10000-1-10000-100
χ302222-12222-12-1-1222-1-1-1-122-122-12-1-122-1-122-1-1-1-1-1-10-2000-2-2-21100-1-12-1-1-100000-20-201110000110000100
χ312222-12222-12-1-1222-1-1-1-1-2-2-122-1-2-1-122-1-1-2-211111102000222-1-100-1-1-211100000-20-20-1-1-10000110000100
χ322222-12222-12-1-1222-1-1-1-1-2-2-122-1-2-1-122-1-1-2-21111110-2000-2-2-21100-1-1-21110000020201110000-1-10000-100
χ332222-12222-12-1-12-2-2-1-1-1-122-122-1-211-2-2-1-122-1-1-1-1-1-1020002-2-2-1-10011-211100000-2020-1110000-1-10000100
χ342222-12222-12-1-12-2-2-1-1-1-122-122-1-211-2-2-1-122-1-1-1-1-1-10-2000-222110011-21110000020-201-1-10000110000-100
χ352222-12222-12-1-12-2-2-1-1-1-1-2-2-122-1211-2-2-1-1-2-2111111020002-2-2-1-100112-1-1-10000020-20-1110000110000-100
χ362222-12222-12-1-12-2-2-1-1-1-1-2-2-122-1211-2-2-1-1-2-21111110-2000-2221100112-1-1-100000-20201-1-10000-1-10000100
χ372-22-2222-2-22-2-2-22002-22-200-22-2200000-22000000000002-202i−2i00000000002i−2i2i−2i0000002i−2i2-200000000000
χ382-22-2222-2-22-2-2-22002-22-200-22-2200000-22000000000002-20−2i2i0000000000−2i2i−2i2i000000−2i2i2-200000000000
χ392-22-2222-2-22-2-2-22002-22-200-22-2200000-2200000000000-2202i−2i0000000000−2i2i−2i2i0000002i−2i-2200000000000
χ402-22-2222-2-22-2-2-22002-22-200-22-2200000-2200000000000-220−2i2i00000000002i−2i2i−2i000000−2i2i-2200000000000
χ412-22-222-22-22-2-2-222-22-22-2002-22-202-22-22-2000000000000000000002-200002i−2i−2i2i000000000000002i−2i00000
χ422-22-222-22-22-2-2-222-22-22-2002-22-202-22-22-2000000000000000000002-20000−2i2i2i−2i00000000000000−2i2i00000
χ432-22-222-22-22-2-2-22-222-22-2002-22-20-22-222-200000000000000000000-2200002i−2i−2i2i00000000000000−2i2i00000
χ442-22-222-22-22-2-2-22-222-22-2002-22-20-22-222-200000000000000000000-220000−2i2i2i−2i000000000000002i−2i00000
χ4544444-2-4-4-24-244-200-2-2-2-200-422-400000220000000040-4000000022000000000000-2000000000000000000
χ4644444-2-4-4-24-244-200-2-2-2-200-422-4000002200000000-4040000000-2-20000000000002000000000000000000
χ474444-24-4-44-24-2-2400-2-2-2-2002-4-4200000220000000004000-4002200000000000000000-2000000000000000
χ484444-24-4-44-24-2-2400-2-2-2-2002-4-420000022000000000-4000400-2-2000000000000000002000000000000000
χ494444-2-244-2-2-2-2-2-244111144-2-2-2-24-2-2-2-211-2-2-2-2111100000000000011-2-2110000000000000000000000000
χ504444-2-244-2-2-2-2-2-2441111-4-4-2-2-2-2-4-2-2-2-2112222-1-1-1-10000000000001122-1-10000000000000000000000000
χ514444-2-244-2-2-2-2-2-2-4-4111144-2-2-2-2-4222211-2-2-2-21111000000000000-1-122-1-10000000000000000000000000
χ524444-2-244-2-2-2-2-2-2-4-41111-4-4-2-2-2-242222112222-1-1-1-1000000000000-1-1-2-2110000000000000000000000000
χ5344-4-44400-4-444-4-4004-4-4422−220000000000022−2222−222222−22−220000000000000000000000000000000000000000000
χ5444-4-44400-4-444-4-4004-4-44−222200000000000−2222−2222−22−2222220000000000000000000000000000000000000000000
χ5544-4-44-2002-4-24-4200-222-222−2200000000000−2222−22−2−222000000000023−23000000000000000000006−6000000000
χ5644-4-44-2002-4-24-4200-222-222−2200000000000−2222−22−2−2220000000000−232300000000000000000000−66000000000
χ5744-4-44-2002-4-24-4200-222-2−2222000000000002−2−222222−2−2000000000023−2300000000000000000000−66000000000
χ5844-4-44-2002-4-24-4200-222-2−2222000000000002−2−222222−2−20000000000−2323000000000000000000006−6000000000
χ5944-4-4-2400-424-22-400-222-222−220000000000022−22−22−2−2220000000023−230000000000000000000000006−60000000
χ6044-4-4-2400-424-22-400-222-222−220000000000022−22−22−2−22200000000−2323000000000000000000000000−660000000
χ6144-4-4-2400-424-22-400-222-2−222200000000000−22222−222−2−20000000023−23000000000000000000000000−660000000
χ6244-4-4-2400-424-22-400-222-2−222200000000000−22222−222−2−200000000−23230000000000000000000000006−60000000
χ634-44-44-24-4242-4-4-200-22-2200-4-224000002-2000000000004-40000000000000000000000000-2200000000000
χ644-44-44-24-4242-4-4-200-22-2200-4-224000002-200000000000-4400000000000000000000000002-200000000000
χ654-44-44-2-44242-4-4-24-4-22-220042-2-404-4-22-2200000000000000000000-2200000000000000000000000000000
χ664-44-44-2-44242-4-4-2-44-22-220042-2-40-442-2-22000000000000000000002-200000000000000000000000000000
χ674-44-4-244-4-4-2-422400-22-220024-4-2000002-2000000000000004i−4i00000000000000000000−2i2i0000000000000
χ684-44-4-244-4-4-2-422400-22-220024-4-2000002-200000000000000−4i4i000000000000000000002i−2i0000000000000
χ694-44-4-24-44-4-2-42244-4-22-2200-2-4420-224-4-2200000000000000000000-2200000000000000000000000000000
χ704-44-4-24-44-4-2-4224-44-22-2200-2-44202-2-44-22000000000000000000002-200000000000000000000000000000
χ714-44-4-2-2-442-2222-24-41-11-100-22-220-22-221-100003i−3i3i−3i0000000000001-1003i−3i0000000000000000000000000
χ724-44-4-2-2-442-2222-24-41-11-100-22-220-22-221-10000−3i3i−3i3i0000000000001-100−3i3i0000000000000000000000000
χ734-44-4-2-2-442-2222-2-441-11-100-22-2202-22-21-100003i−3i3i−3i000000000000-1100−3i3i0000000000000000000000000
χ744-44-4-2-2-442-2222-2-441-11-100-22-2202-22-21-10000−3i3i−3i3i000000000000-11003i−3i0000000000000000000000000
χ754-4-4444004-4-4-44-40044-4-400000000000000000000000000000000000000000000000000000000000−2i22i2000
χ764-4-4444004-4-4-44-40044-4-4000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ778888-4-4-8-8-4-4-4-4-4-400222200444400000-2-2000000000000000000000000000000000000000000000000000
χ7888-8-8-4-40044-4-444002-2-2242−4200000000000−2222−222222−2−20000000000000000000000000000000000000000000
χ7988-8-8-4-40044-4-444002-2-22−42420000000000022−2222−22−2−2220000000000000000000000000000000000000000000
χ808-88-8-4-48-84-4444-4002-22-2004-44-400000-22000000000000000000000000000000000000000000000000000
χ818-8-888-400-4-84-88400-4-4440000000000000000000000000000000000000000000000000000000000000000
χ828-8-88-480084-84-4-800-4-4440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-400-4444-440022-2-200000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000000
χ848-8-88-4-400-4444-440022-2-2000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000000

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