Finite Group Databasebeta

← Group #11864429

Character table — Group #11864429

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444446666888888888888888121212121212121212121212161616161616242424242424242424242424242424242436363636363672
order1222334466666623466666121212122244246666612121212121212122444446688121266612121224666812121212121212242424242244888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-111-1-11111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-11-1-111-1-111111111111111-1-111-1-1-1-1-1-1-1-11-1-1-1-1-111111-1-1-1-11111-1-1-1
χ4111111111111111111111111111111-1-11-1-111-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-11-1-11-1-1-1-11111-1-1-1-1111
χ511111111111111111111111111-1-1-1-1111111111111111-1-11111-1-111-1-1111111-1-1-1-1-11-1-1-111111111-1-1-1-1-1-1-1
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
χ711111111111111111111111111-1-1-1-1-1-11-1-111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-111-111-11111-1-1-1-1-1-1-1-1111
χ811111111111111111111111111-1-1-1-1-1-11-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-111111-1-1-1-1-111111111-1-1-1
χ911111111111111-11-1-1-1111111111111-1-111-1-1-1-1-1-111-1-1-1-111-1-1111111111-1-1-11-1-111-1-1-1-111-1-111-1-1-1-11111-1
χ1011111111111111-11-1-1-1111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111111-1-1-11-1-1111-1-1-1-1-111-1-11111-1-1-1-11
χ1111111111111111-11-1-1-111111111111-11-1-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-1-1111-11-1-1-1111-111-1-1-1-111-1-111-1-11
χ1211111111111111-11-1-1-111111111111-11-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1111-11-1-1-1-111-1-1-11111-1-111-1-111-1
χ1311111111111111-11-1-1-11111111-1-1-1-11-1-111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1111-1-1-1-111-1-1-111111-1-111-1-111-1-1-1-11
χ1411111111111111-11-1-1-11111111-1-1-1-11-1-111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1111-1-1-1-111-1-11111-1-111-1-111-1-11111-1
χ1511111111111111-11-1-1-11111111-1-1-1-1-11-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1111-1-1-1-11111-1-111-1
χ1611111111111111-11-1-1-11111111-1-1-1-1-11-1-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-1-11111-1111-1-1-11-1-11111-1-1-1-111-1-11
χ17222222-2-222222222-222222-2-2-2-222-2-2002002200-2-2-2-2-2-2-2200002200-2-200000000-2000002000000000000000
χ18222222-2-222222222-222222-2-2-2-2-2-222002002200-2-2-2-2-2-22-20000-2-2002200000000200000-2000000000000000
χ19222222-2-2222222-222-2-2222-2-2-2-222-2-200-200-2-20022-2-2222-200002200-2-200000000200000-2000000000000000
χ20222222-2-2222222-222-2-2222-2-2-2-2-2-22200-200-2-20022-2-222-220000-2-2002200000000-2000002000000000000000
χ2122222-12222-1-1-122-1222-1-1-1-1-122222222-1-1-1-1-1-1-1-12-1-1-1-1220000-1-100-1-12-1-12-1-122-1-1-10-1-1-1000000000000000
χ2222222-12222-1-1-122-1222-1-1-1-1-1222222-2-2-111-1-111-12-1-1-1-1220000-1-100-1-1-211-211-2-2-111011-1000000000000000
χ2322222-12222-1-1-122-1222-1-1-1-1-122-2-2-2-222-1-1-1-1-1-1-1-12-1-1-1-1-2-200001100112-1-12-1-1-2-21110111000000000000000
χ2422222-12222-1-1-122-1222-1-1-1-1-122-2-2-2-2-2-2-111-1-111-12-1-1-1-1-2-20000110011-211-211221-1-10-1-11000000000000000
χ2522222-12222-1-1-12-2-1-2-2-2-1-1-1-1-12222222-21-1-111111-2-1-111-2-20000-1-100-1-12-1-1-2112-21-1-10111000000000000000
χ2622222-12222-1-1-12-2-1-2-2-2-1-1-1-1-1222222-2211111-1-11-2-1-111-2-20000-1-100-1-1-2112-1-1-221110-1-11000000000000000
χ2722222-12222-1-1-12-2-1-2-2-2-1-1-1-1-122-2-2-2-22-21-1-111111-2-1-1112200001100112-1-1-211-22-1110-1-1-1000000000000000
χ2822222-12222-1-1-12-2-1-2-2-2-1-1-1-1-122-2-2-2-2-2211111-1-11-2-1-111220000110011-2112-1-12-2-1-1-1011-1000000000000000
χ2922222-1-2-222-1-1-122-1-222-1-1-111-2-222-2-200-1−i3i3-1-1−i3i31-21111-220000-1-100110−i3i30−i3i3001−i3i30−i3i3-1000000000000000
χ3022222-1-2-222-1-1-122-1-222-1-1-111-2-222-2-200-1i3−i3-1-1i3−i31-21111-220000-1-100110i3−i30i3−i3001i3−i30i3−i3-1000000000000000
χ3122222-1-2-222-1-1-122-1-222-1-1-111-2-2-2-22200-1−i3i3-1-1−i3i31-211112-200001100-1-10−i3i30−i3i300-1i3−i30i3−i31000000000000000
χ3222222-1-2-222-1-1-122-1-222-1-1-111-2-2-2-22200-1i3−i3-1-1i3−i31-211112-200001100-1-10i3−i30i3−i300-1−i3i30−i3i31000000000000000
χ3322222-1-2-222-1-1-12-2-12-2-2-1-1-111-2-222-2-2001−i3i311i3−i3-1211-1-12-20000-1-100110−i3i30i3−i300-1−i3i30i3−i31000000000000000
χ3422222-1-2-222-1-1-12-2-12-2-2-1-1-111-2-222-2-2001i3−i311−i3i3-1211-1-12-20000-1-100110i3−i30−i3i300-1i3−i30−i3i31000000000000000
χ3522222-1-2-222-1-1-12-2-12-2-2-1-1-111-2-2-2-222001−i3i311i3−i3-1211-1-1-2200001100-1-10−i3i30i3−i3001i3−i30−i3i3-1000000000000000
χ3622222-1-2-222-1-1-12-2-12-2-2-1-1-111-2-2-2-222001i3−i311−i3i3-1211-1-1-2200001100-1-10i3−i30−i3i3001−i3i30i3−i3-1000000000000000
χ372222-1222-1-1222-12-12-1-1-1-1-122-1-1000022222-1-1222-1-1-1-1-1002222002200-1-1-1-1-1-1000002000-1-1-1-1-1-1-1-10000000
χ382222-1222-1-1222-12-12-1-1-1-1-122-1-1000022222-1-1222-1-1-1-1-100-2-2-2-200-2-200-1-1-1-1-1-100000-2000111111110000000
χ392222-1222-1-1222-12-12-1-1-1-1-122-1-10000-2-22-2-2-1-1-2-22-1-1-1-1-100222200-2-20011111100000-2000-1-1-1-111110000000
χ402222-1222-1-1222-12-12-1-1-1-1-122-1-10000-2-22-2-2-1-1-2-22-1-1-1-1-100-2-2-2-20022001111110000020001111-1-1-1-10000000
χ412222-1222-1-1222-1-2-1-211-1-1-122-1-100002-2-22211-2-2-21-1-1110022-2-2002200-1-1-111100000-2000-1-111-1-1110000000
χ422222-1222-1-1222-1-2-1-211-1-1-122-1-100002-2-22211-2-2-21-1-11100-2-22200-2-200-1-1-111100000200011-1-111-1-10000000
χ432222-1222-1-1222-1-2-1-211-1-1-122-1-10000-22-2-2-21122-21-1-1110022-2-200-2-200111-1-1-1000002000-1-11111-1-10000000
χ442222-1222-1-1222-1-2-1-211-1-1-122-1-10000-22-2-2-21122-21-1-11100-2-222002200111-1-1-100000-200011-1-1-1-1110000000
χ452-2-22222-2-2-2-2-22202000-22-22-22-22-22-2000000000002-20000002-22-2002-2000000000000000002-200002-200000
χ462-2-22222-2-2-2-2-22202000-22-22-22-22-22-2000000000002-2000000-222-2002-200000000000000000-220000-2200000
χ472-2-22222-2-2-2-2-22202000-22-22-22-2-22-22000000000002-20000002-2-2200-22000000000000000002-20000-2200000
χ482-2-22222-2-2-2-2-22202000-22-22-22-2-22-22000000000002-2000000-22-2200-2200000000000000000-2200002-200000
χ492-2-2222-22-2-2-2-22202000-22-2-22-222-2-2200000000000-2200002-2002-200-220000000000000002-2000000002-2000
χ502-2-2222-22-2-2-2-22202000-22-2-22-222-2-2200000000000-220000-22002-200-22000000000000000-2200000000-22000
χ512-2-2222-22-2-2-2-22202000-22-2-22-22-222-200000000000-2200002-200-22002-20000000000000002-200000000-22000
χ522-2-2222-22-2-2-2-22202000-22-2-22-22-222-200000000000-220000-2200-22002-2000000000000000-22000000002-2000
χ534444-24-4-4-2-2444-24-2-4-2-2-2-2-2-4-422000000400-2-200-422222000000000000000000000000000000000000000000
χ544444-24-4-4-2-2444-2-4-2422-2-2-2-4-422000000-40022004-222-2-2000000000000000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2000044-2-2-211-2-2-2-21111000000000000-211-211000000000000000000000000
χ564444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-20000-4-4-2221122-2-211110000000000002-1-12-1-1000000000000000000000000
χ574444-2-244-2-2-2-2-2-2-41-422111-2-2-2-200004-42-2-2-1-1222211-1-1000000000000-2112-1-1000000000000000000000000
χ584444-2-244-2-2-2-2-2-2-41-422111-2-2-2-20000-44222-1-1-2-22211-1-10000000000002-1-1-211000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-241-4-2-21112222000000-2−2i32i311−2i32i322-1-1-1-10000000000000i3−i30i3−i3000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-241-4-2-21112222000000-22i3−2i3112i3−2i322-1-1-1-10000000000000−i3i30−i3i3000000000000000000000000
χ614444-2-2-4-4-2-2-2-2-2-2-4142211122220000002−2i32i3-1-12i3−2i3-2-2-1-1110000000000000i3−i30−i3i3000000000000000000000000
χ624444-2-2-4-4-2-2-2-2-2-2-41422111222200000022i3−2i3-1-1−2i32i3-2-2-1-1110000000000000−i3i30i3−i3000000000000000000000000
χ6344-4-44400-444-4-4-404000-4-440000000000000000000000000000000−2i22i2000000000000000000000−2i22i2000000000
χ6444-4-44400-444-4-4-404000-4-4400000000000000000000000000000002i2−2i20000000000000000000002i2−2i2000000000
χ6544-4-4-24002-24-4-420-20−2i32i322-20000000000000−2i32i30000000000000000−2i22i2000000000000000000000i2−i26−60000000
χ6644-4-4-24002-24-4-420-20−2i32i322-20000000000000−2i32i300000000000000002i2−2i2000000000000000000000−i2i2−660000000
χ6744-4-4-24002-24-4-420-202i3−2i322-200000000000002i3−2i30000000000000000−2i22i2000000000000000000000i2−i2−660000000
χ6844-4-4-24002-24-4-420-202i3−2i322-200000000000002i3−2i300000000000000002i2−2i2000000000000000000000−i2i26−60000000
χ694-44-444004-4-44-4-4040004-4-400000000000000000000000000000000000000000000000000000000000000−2i22i20
χ704-44-444004-4-44-4-4040004-4-4000000000000000000000000000000000000000000000000000000000000002i2−2i20
χ714-4-444-24-4-4-422-240-20002-22-224-44-44-400000000000-2200000000-2200-22000000000000000000000000000000
χ724-4-444-24-4-4-422-240-20002-22-224-4-44-4400000000000-22000000002-2002-2000000000000000000000000000000
χ734-4-444-2-44-4-422-240-20002-222-2-444-4-44000000000002-200000000-22002-2000000000000000000000000000000
χ744-4-444-2-44-4-422-240-20002-222-2-44-444-4000000000002-2000000002-200-22000000000000000000000000000000
χ754-4-44-244-422-4-44-20-20002-224-4-22000000000000000-220000004-400000000000000000000000-2200000000000
χ764-4-44-244-422-4-44-20-20002-224-4-22000000000000000-22000000-44000000000000000000000002-200000000000
χ774-4-44-24-4422-4-44-20-20002-22-442-20000000000000002-200004-400000000000000000000000-220000000000000
χ784-4-44-24-4422-4-44-20-20002-22-442-20000000000000002-20000-44000000000000000000000002-20000000000000
χ7988-8-88-400-88-444-80-400044-400000000000000000000000000000000000000000000000000000000000000000
χ8088-8-8-4-4004-4-4444020−4i34i3-2-2200000000000002i3−2i300000000000000000000000000000000000000000000000000
χ8188-8-8-4-4004-4-44440204i3−4i3-2-220000000000000−2i32i300000000000000000000000000000000000000000000000000
χ828-88-88-4008-84-44-80-4000-44400000000000000000000000000000000000000000000000000000000000000000
χ838-88-8-4800-44-88-840-4000-44400000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-4-400-444-444020002-2-20000000000000000000006i−6i000000000000000000000000000000000000000000
χ858-88-8-4-400-444-444020002-2-2000000000000000000000−6i6i000000000000000000000000000000000000000000
χ868-8-88-4-48-84444-4-402000-22-2-44-440000000000000002-200000000000000000000000000000000000000000000
χ878-8-88-4-4-884444-4-402000-22-24-44-4000000000000000-2200000000000000000000000000000000000000000000

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