Finite Group Databasebeta

← Group #11864597

Character table — Group #11864597

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444446666888888888888888121212121212121212121212161616161616242424242424242424242424242424242436363636363672
order12223344666666234666121212121212224444666612121212121212121222244466881212121212121212246666681212121212242424242222888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-11-1-111-1-11111111111-1-1111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-11111-1-11-1-1111111111111-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1-1-1-11111-1-1-1
χ4111111111111111111111111111111-1-11111-1-11-1-111111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-11-1-11-1-11-1-11111-1-1-1-1111
χ511111111111111111111111111-1-1-1-1111111111111111-111-111-1-111-1-1111111-1-111-1-1-11-1-1-1111111-1-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ711111111111111111111111111-1-1-1-1-1-11111-1-11-1-11111-111-111-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-111-1-1-1-1-1-1-1-1111
χ811111111111111111111111111-1-1-1-1-1-11111-1-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-111111-1-1-111111111-1-1-1
χ911111111111111-11-111111-1-11111111-1-1-1-1-111-1-1-111-1-1-111-1-1-11111111-111-1-1-1111-1-1-1-111-1-1-111-1-111-1-111-1
χ1011111111111111-11-111111-1-11111111-1-1-1-1-111-1-1-111-1-1-1-1-1-11111-1-1111-111-1-1-11-1-1-1-1-1111-111-1-111-1-111-1-11
χ1111111111111111-11-111111-1-1111111-11-1-1-1-1-1-1-11111-1-1-111-1-1-111-1-111-11-1-1111-111-1111-1-1-1-1-1-1-11111-1-1-1-11
χ1211111111111111-11-111111-1-1111111-11-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-11-1-1111-1-1-1-111-1-1-1-11111-1-1-1-11111-1
χ1311111111111111-11-111111-1-111-1-1-1-11-1-1-1-1-111-1-1-111-1-11111-1-1-1-111-1-11-111-1-11-111111-1-1-11-1-111-1-1-1-111-1-11
χ1411111111111111-11-111111-1-111-1-1-1-11-1-1-1-1-111-1-1-111-1-11-1-1111-1-1-1-1-1-11-111-1-11-1-1-11111-1-1111-1-11111-1-111-1
χ1511111111111111-11-111111-1-111-1-1-1-1-11-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-11-1-111-11111-1-11111-1-1-1-111-1-11111-1
χ1611111111111111-11-111111-1-111-1-1-1-1-11-1-1-1-1-1-1-11111-1-11-1-1111-1-111-1-1-11-1-111-11-1-11-1-1-11111111-1-111-1-1-1-11
χ17222222-2-222222222-2222-2-2-2-2-2-222-2-200222200-200-2-2-2-2-2002002200-2-20000000000-20000020000000000000
χ18222222-2-222222222-2222-2-2-2-2-2-2-2-22200222200-200-2-2-2-2200-200-2-200220000000000200000-20000000000000
χ19222222-2-2222222-222222-2-222-2-222-2-200-2-2-2-200200-2-222200-2002200-2-20000000000200000-20000000000000
χ20222222-2-2222222-222222-2-222-2-2-2-22200-2-2-2-200200-2-222-200200-2-200220000000000-20000020000000000000
χ2122222-1222-12-12-12-12-1-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1200200-1-100-1-122-1-1-1-12200-1-1-10-1-1-10000000000000
χ2222222-1222-12-12-12-12-1-1-1-1-122222222-2-22-1-1-111-111-1-1-1-1200200-1-100-1-1-2-21111-2-200-111011-10000000000000
χ2322222-1222-12-12-12-12-1-1-1-1-12222-2-2-2-2222-1-1-1-1-1-1-1-1-1-1-1-1-200-20011001122-1-1-1-1-2-20011101110000000000000
χ2422222-1222-12-12-12-12-1-1-1-1-12222-2-2-2-2-2-22-1-1-111-111-1-1-1-1-200-200110011-2-2111122001-1-10-1-110000000000000
χ2522222-1222-12-12-1-2-1-2-1-1-1-1-1-2-22222222-2-2111-1-1111-1-111-200-200-1-100-1-12-2-1-111-22001110-1-110000000000000
χ2622222-1222-12-12-1-2-1-2-1-1-1-1-1-2-2222222-22-2111111-1-1-1-111-200-200-1-100-1-1-2211-1-12-2001-1-101110000000000000
χ2722222-1222-12-12-1-2-1-2-1-1-1-1-1-2-222-2-2-2-22-2-2111-1-1111-1-1112002001100112-2-1-1112-200-1-1-1011-10000000000000
χ2822222-1222-12-12-1-2-1-2-1-1-1-1-1-2-222-2-2-2-2-22-2111111-1-1-1-111200200110011-2211-1-1-2200-1110-1-1-10000000000000
χ2922222-1-2-22-12-12-12-1-2-1-1-111-2-2-2-222-2-2002-1-1-1−i3i31−i3i31111-200200-1-1001100−i3i3−i3i300001−i3i30−i3i3-10000000000000
χ3022222-1-2-22-12-12-12-1-2-1-1-111-2-2-2-222-2-2002-1-1-1i3−i31i3−i31111-200200-1-1001100i3−i3i3−i300001i3−i30i3−i3-10000000000000
χ3122222-1-2-22-12-12-12-1-2-1-1-111-2-2-2-2-2-222002-1-1-1−i3i31−i3i31111200-2001100-1-100−i3i3−i3i30000-1i3−i30i3−i310000000000000
χ3222222-1-2-22-12-12-12-1-2-1-1-111-2-2-2-2-2-222002-1-1-1i3−i31i3−i31111200-2001100-1-100i3−i3i3−i30000-1−i3i30−i3i310000000000000
χ3322222-1-2-22-12-12-1-2-12-1-1-11122-2-222-2-200-2111−i3i3-1i3−i311-1-1200-200-1-1001100−i3i3i3−i30000-1i3−i30−i3i310000000000000
χ3422222-1-2-22-12-12-1-2-12-1-1-11122-2-222-2-200-2111i3−i3-1−i3i311-1-1200-200-1-1001100i3−i3−i3i30000-1−i3i30i3−i310000000000000
χ3522222-1-2-22-12-12-1-2-12-1-1-11122-2-2-2-22200-2111−i3i3-1i3−i311-1-1-2002001100-1-100−i3i3i3−i300001−i3i30i3−i3-10000000000000
χ3622222-1-2-22-12-12-1-2-12-1-1-11122-2-2-2-22200-2111i3−i3-1−i3i311-1-1-2002001100-1-100i3−i3−i3i300001i3−i30−i3i3-10000000000000
χ372222-1222-12-12-122-12-1-1-122-1-1-1-1000022-12-1-122222-1-1-1-1022022002200-1-1-1-1-1-100-1-10002000-1-1-1-1-1-10000000
χ382222-1222-12-12-122-12-1-1-122-1-1-1-1000022-12-1-122222-1-1-1-10-2-20-2-200-2-200-1-1-1-1-1-10011000-20001111110000000
χ392222-1222-12-12-122-12-1-1-122-1-1-1-10000-2-2-12-1-1-2-22-2-2-1-1-1-102202200-2-20011111100-1-1000-2000-1-111110000000
χ402222-1222-12-12-122-12-1-1-122-1-1-1-10000-2-2-12-1-1-2-22-2-2-1-1-1-10-2-20-2-20022001111110011000200011-1-1-1-10000000
χ412222-1222-12-12-12-2-1-2-1-1-12211-1-100002-21-21122-2-2-2-1-1110220-2-2002200-11-1-11100-1-1000-200011-1-1110000000
χ422222-1222-12-12-12-2-1-2-1-1-12211-1-100002-21-21122-2-2-2-1-1110-2-202200-2-200-11-1-11100110002000-1-111-1-10000000
χ432222-1222-12-12-12-2-1-2-1-1-12211-1-10000-221-211-2-2-222-1-1110220-2-200-2-2001-111-1-100-1-100020001111-1-10000000
χ442222-1222-12-12-12-2-1-2-1-1-12211-1-10000-221-211-2-2-222-1-1110-2-20220022001-111-1-10011000-2000-1-1-1-1110000000
χ452-2-22222-2-2-2-2-222020-2-222-2002-22-22-2000000000002-20000002-22-2002-2000000000000000002-20000002-2000
χ462-2-22222-2-2-2-2-222020-2-222-2002-22-22-2000000000002-2000000-222-2002-200000000000000000-22000000-22000
χ472-2-22222-2-2-2-2-222020-2-222-2002-2-22-22000000000002-20000002-2-2200-22000000000000000002-2000000-22000
χ482-2-22222-2-2-2-2-222020-2-222-2002-2-22-22000000000002-2000000-22-2200-2200000000000000000-220000002-2000
χ492-2-2222-22-2-2-2-222020-2-22-2200-222-2-2200000000000-220002-20002-200-22000000002-200000000000002-200000
χ502-2-2222-22-2-2-2-222020-2-22-2200-222-2-2200000000000-22000-220002-200-2200000000-220000000000000-2200000
χ512-2-2222-22-2-2-2-222020-2-22-2200-22-222-200000000000-220002-2000-22002-2000000002-20000000000000-2200000
χ522-2-2222-22-2-2-2-222020-2-22-2200-22-222-200000000000-22000-22000-22002-200000000-2200000000000002-200000
χ534444-24-4-4-24-24-244-2-4-2-2-2-4-42222000000-24-2-200-4002222000000000000000000000000000000000000000000
χ544444-24-4-4-24-24-24-4-24-2-2-2-4-4-2-2220000002-4220040022-2-2000000000000000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2414111-2-2-2-2-2-2000044-2-211-2-2-2-2-21111000000000000-2-21111000000000000000000000000
χ564444-2-244-2-2-2-2-2-2414111-2-2-2-2-2-20000-4-4-2-21122-222111100000000000022-1-1-1-1000000000000000000000000
χ574444-2-244-2-2-2-2-2-2-41-4111-2-222-2-200004-422-1-1-2-222211-1-1000000000000-2211-1-1000000000000000000000000
χ584444-2-244-2-2-2-2-2-2-41-4111-2-222-2-20000-4422-1-1222-2-211-1-10000000000002-2-1-111000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-241-4111222222000000-2-211−2i32i32−2i32i3-1-1-1-100000000000000i3−i3i3−i3000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-241-4111222222000000-2-2112i3−2i322i3−2i3-1-1-1-100000000000000−i3i3−i3i3000000000000000000000000
χ614444-2-2-4-4-2-2-2-2-2-2-41411122-2-22200000022-1-1−2i32i3-22i3−2i3-1-11100000000000000i3−i3−i3i3000000000000000000000000
χ624444-2-2-4-4-2-2-2-2-2-2-41411122-2-22200000022-1-12i3−2i3-2−2i32i3-1-11100000000000000−i3i3i3−i3000000000000000000000000
χ6344-4-4440044-4-4-4-40404-4-40000000000000000000000000000000000000000000000000000000000000000−2i22i20
χ6444-4-4440044-4-4-4-40404-4-400000000000000000000000000000000000000000000000000000000000000002i2−2i20
χ654-44-44400-4-444-4-4040-44-400000000000000000000000000000000022−2200000000000000000000022−22000000000
χ664-44-44400-4-444-4-4040-44-4000000000000000000000000000000000−2222000000000000000000000−2222000000000
χ674-44-4-24002-4-242-40-202-220023−23000000000000000000023−230000000022−22000000000000000000000−226−60000000
χ684-44-4-24002-4-242-40-202-220023−23000000000000000000023−2300000000−22220000000000000000000002−2−660000000
χ694-44-4-24002-4-242-40-202-2200−23230000000000000000000−23230000000022−22000000000000000000000−22−660000000
χ704-44-4-24002-4-242-40-202-2200−23230000000000000000000−232300000000−22220000000000000000000002−26−60000000
χ714-4-444-24-4-42-424-20-2022-2-22004-44-44-400000000000-2200000000-2200-22000000000000000000000000000000
χ724-4-444-24-4-42-424-20-2022-2-22004-4-44-4400000000000-22000000002-2002-2000000000000000000000000000000
χ734-4-444-2-44-42-424-20-2022-22-200-444-4-44000000000002-200000000-22002-2000000000000000000000000000000
χ744-4-444-2-44-42-424-20-2022-22-200-44-444-4000000000002-2000000002-200-22000000000000000000000000000000
χ754-4-44-244-42-42-4-240-2022-24-400-22000000000000000-220000004-400000000000000000000000-2200000000000
χ764-4-44-244-42-42-4-240-2022-24-400-22000000000000000-22000000-44000000000000000000000002-200000000000
χ774-4-44-24-442-42-4-240-2022-2-44002-20000000000000002-20004-400000000000000000-2200000000000000000000
χ784-4-44-24-442-42-4-240-2022-2-44002-20000000000000002-2000-44000000000000000002-200000000000000000000
χ7988-8-88-4008-4-84-840-40-4440000000000000000000000000000000000000000000000000000000000000000000
χ8088-8-8-4800-484-84-80-40-4440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-4-444440202-2-2000000000000006-6000000000000000000000000000000000000000000000000000
χ8288-8-8-4-400-4-444440202-2-200000000000000-66000000000000000000000000000000000000000000000000000
χ838-88-88-400-848-4-840-404-440000000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-4-40044-4-444020-22-20043−430000000000000000000−2323000000000000000000000000000000000000000000
χ858-88-8-4-40044-4-444020-22-200−4343000000000000000000023−23000000000000000000000000000000000000000000
χ868-8-88-4-48-84444-4-4020-2-22-4400-440000000000000002-200000000000000000000000000000000000000000000
χ878-8-88-4-4-884444-4-4020-2-224-4004-4000000000000000-2200000000000000000000000000000000000000000000

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