Finite Group Databasebeta

← Group #11878590

Character table — Group #11878590

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222244444444444488888888888888812121212121212121212161616161616242424242424242424242424242424242424243636727272
order12223344666666234666121212121212246666661212121212121222446688121266612121224446668121212121212122424242488448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-111111111-111-11-1-1-111-1-1111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-1-1-111-1-11111111-1-11-1111-1-111-1-1-11111-1-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ511111111111111111111111111-1-111-1-111-1-1111111111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-11-1-1111111-1-11
χ611111111111111111111111111-1-111-1-111-1-111111111111-1-111-1-1-1-1-1-11-1-11111-1-1-1111-1-1-1-1-1-1-1-111-1
χ711111111111111111111111111-1-111-1-111-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1111111-1-111-1
χ811111111111111111111111111-1-111-1-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-11111-111-1-1-1-111-1-11
χ911111111111111-11-1111-1-111111-1-1-111-1-1-1-1-111-1-11-11-1111111111-1-1-1-1-111-1-1-1-1-1-111-11111-1-1-1-11-11
χ1011111111111111-11-1111-1-111111-1-1-111-1-1-1-1-111-1-11-11-111-1-111111-1-1-11-11-1-1111-1-1-1-1-111-1-11111-11-1
χ1111111111111111-11-1111-1-111111-1-1-111-1-1-1-1-111-1-1-11-11-1-111-1-1111-1-1-1-11-111-1-1-111111-1-111-1-111-11-1
χ1211111111111111-11-1111-1-111111-1-1-111-1-1-1-1-111-1-1-11-11-1-1-1-1-1-1111-1-1-111-1-1111111-1-11-1-1-1-111-1-11-11
χ1311111111111111-11-1111-1-11111-11-1-1-1-1-1-111-111-1-11-11-1111111-1-1-111111-1-1-111-111-1-1-1-1-111-1-1-1-1-111
χ1411111111111111-11-1111-1-11111-11-1-1-1-1-1-111-111-1-11-11-111-1-111-1-1-1111-11-11-1-1-111111-1-1-1-1-111111-1-1
χ1511111111111111-11-1111-1-11111-11-1-1-1-1-1-111-111-1-1-11-11-1-111-1-1-1-1-11111-11-1111-1-1-1-1-111111-1-1111-1-1
χ1611111111111111-11-1111-1-11111-11-1-1-1-1-1-111-111-1-1-11-11-1-1-1-1-1-1-1-1-1111-1-1111-1-11-1-111111-1-111-1-1-111
χ17222222-2-222222222-2222-2-2-2-2-2-20022002200-2-2-2-2-22-2-222200-2-20000000000-20000000200000000000
χ18222222-2-222222222-2222-2-2-2-2-2-20022002200-2-2-2-2-2-222-2-2-20022000000000020000000-200000000000
χ19222222-2-2222222-22222222-2-2-2-200-2-200-2-2002-2-22222-2-22200-2-2000000000020000000-200000000000
χ20222222-2-2222222-22222222-2-2-2-200-2-200-2-2002-2-222-2-222-2-200220000000000-20000000200000000000
χ2122222-1222-122-1-12-12-1-1-122-1-122222-1-1-1-1-1-1-1-1-1-1-1-12222-1-100-1-12-1-12-1-10220-1000-1-100-1-1-1000000000
χ2222222-1222-122-1-12-12-1-1-122-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21100112-1-12-1-10-2-2010001100111000000000
χ2322222-1222-122-1-12-12-1-1-122-1-122-2-22-111-1-111-1-1-1-1-12222-1-100-1-1-211-2110-2-20-10001100-111000000000
χ2422222-1222-122-1-12-12-1-1-122-1-122-2-22-111-1-111-1-1-1-1-1-2-2-2-2110011-211-21102201000-1-1001-1-1000000000
χ2522222-1222-122-1-1-2-1-2-1-1-1-2-2-1-1222-2-21-1-111111-1-1112-22-2-1-100-1-12-1-1-2110-220100011001-1-1000000000
χ2622222-1222-122-1-1-2-1-2-1-1-1-2-2-1-1222-2-21-1-111111-1-111-22-221100112-1-1-21102-20-1000-1-100-111000000000
χ2722222-1222-122-1-1-2-1-2-1-1-1-2-2-1-122-22-211111-1-11-1-1112-22-2-1-100-1-1-2112-1-102-201000-1-100111000000000
χ2822222-1222-122-1-1-2-1-2-1-1-1-2-2-1-122-22-211111-1-11-1-111-22-22110011-2112-1-10-220-10001100-1-1-1000000000
χ2922222-1-2-22-122-1-12-1-2-1-1-1-2-211-2-2002-1−i3i3-1-1−i3i3111112-2-22-1-100110−i3i30−i3i300001000−i3i300-1−i3i3000000000
χ3022222-1-2-22-122-1-12-1-2-1-1-1-2-211-2-2002-1−i3i3-1-1−i3i311111-222-21100-1-10−i3i30−i3i30000-1000i3−i3001i3−i3000000000
χ3122222-1-2-22-122-1-12-1-2-1-1-1-2-211-2-2002-1i3−i3-1-1i3−i3111112-2-22-1-100110i3−i30i3−i300001000i3−i300-1i3−i3000000000
χ3222222-1-2-22-122-1-12-1-2-1-1-1-2-211-2-2002-1i3−i3-1-1i3−i311111-222-21100-1-10i3−i30i3−i30000-1000−i3i3001−i3i3000000000
χ3322222-1-2-22-122-1-1-2-12-1-1-12211-2-200-21−i3i311i3−i3-111-1-122-2-2-1-100110−i3i30i3−i30000-1000i3−i3001−i3i3000000000
χ3422222-1-2-22-122-1-1-2-12-1-1-12211-2-200-21−i3i311i3−i3-111-1-1-2-2221100-1-10−i3i30i3−i300001000−i3i300-1i3−i3000000000
χ3522222-1-2-22-122-1-1-2-12-1-1-12211-2-200-21i3−i311−i3i3-111-1-122-2-2-1-100110i3−i30−i3i30000-1000−i3i3001i3−i3000000000
χ3622222-1-2-22-122-1-1-2-12-1-1-12211-2-200-21i3−i311−i3i3-111-1-1-2-2221100-1-10i3−i30−i3i300001000i3−i300-1−i3i3000000000
χ372222-1222-12-1-1222-12-1-1-1-1-122-1-122-1222-1-1222-1-1-1-10000002200-1-1-1-1-1-120020-1-1200-1-1000-1-1-1-100000
χ382222-1222-12-1-1222-12-1-1-1-1-122-1-122-1222-1-1222-1-1-1-1000000-2-200-1-1-1-1-1-1-200-2011-20011000111100000
χ392222-1222-12-1-1222-12-1-1-1-1-122-1-1-2-2-12-2-2-1-1-2-22-1-1-1-10000002200111111-200-201120011000-1-1-1-100000
χ402222-1222-12-1-1222-12-1-1-1-1-122-1-1-2-2-12-2-2-1-1-2-22-1-1-1-1000000-2-20011111120020-1-1-200-1-1000111100000
χ412222-1222-12-1-122-2-1-2-1-1-11122-1-12-21-22211-2-2-2-1-1110000002200-1-1-1111-2002011-200-1-1000-1-11100000
χ422222-1222-12-1-122-2-1-2-1-1-11122-1-12-21-22211-2-2-2-1-111000000-2-200-1-1-1111200-20-1-12001100011-1-100000
χ432222-1222-12-1-122-2-1-2-1-1-11122-1-1-221-2-2-21122-2-1-1110000002200111-1-1-1200-20-1-1-20011000-1-11100000
χ442222-1222-12-1-122-2-1-2-1-1-11122-1-1-221-2-2-21122-2-1-111000000-2-200111-1-1-1-2002011200-1-100011-1-100000
χ454444-24-4-4-24-2-2444-2-4-2-2-222-4-42200-2400-2-200-422220000000000000000000000000000000000000000
χ464444-24-4-4-24-2-244-4-24-2-2-2-2-2-4-422002-4002200422-2-20000000000000000000000000000000000000000
χ474444-2-244-2-2-2-2-2-2414111-2-2-2-2-2-244-2-2-2-211-2-2-211110000000000-211-211000000000000000000000000
χ484444-2-244-2-2-2-2-2-2414111-2-2-2-2-2-2-4-4-2-2221122-2111100000000002-1-12-1-1000000000000000000000000
χ494444-2-244-2-2-2-2-2-2-41-411122-2-2-2-24-422-2-2-1-122211-1-10000000000-2112-1-1000000000000000000000000
χ504444-2-244-2-2-2-2-2-2-41-411122-2-2-2-2-442222-1-1-2-2211-1-100000000002-1-1-211000000000000000000000000
χ514444-2-2-4-4-2-2-2-2-2-241-411122222200-2-2−2i32i311−2i32i32-1-1-1-100000000000i3−i30i3−i3000000000000000000000000
χ524444-2-2-4-4-2-2-2-2-2-241-411122222200-2-22i3−2i3112i3−2i32-1-1-1-100000000000−i3i30−i3i3000000000000000000000000
χ534444-2-2-4-4-2-2-2-2-2-2-414111-2-222220022−2i32i3-1-12i3−2i3-2-1-11100000000000i3−i30−i3i3000000000000000000000000
χ544444-2-2-4-4-2-2-2-2-2-2-414111-2-2222200222i3−2i3-1-1−2i32i3-2-1-11100000000000−i3i30i3−i3000000000000000000000000
χ5544-4-44400-4-44-44-4040-44-400000000000000000000000000000000000000000000000000000000−2i22i2000
χ5644-4-44400-4-44-44-4040-44-4000000000000000000000000000000000000000000000000000000002i2−2i2000
χ574-44-4444-4-4-4-44-44040-4-44004-44-4000000000004-4000000000000000000000000000000000000000000
χ584-44-444-44-4-4-44-44040-4-4400-44-4400000000000-44000000000000000000000000000000000000000000
χ594-44-44-24-4-42-442-20-2022-200-224-400000000000-22000000−2i32i300−2i32i3000000000000000000000000000000
χ604-44-44-24-4-42-442-20-2022-200-224-400000000000-220000002i3−2i3002i3−2i3000000000000000000000000000000
χ614-44-44-2-44-42-442-20-2022-2002-2-44000000000002-2000000−2i32i3002i3−2i3000000000000000000000000000000
χ624-44-44-2-44-42-442-20-2022-2002-2-44000000000002-20000002i3−2i300−2i32i3000000000000000000000000000000
χ634-44-4-244-42-42-2-440-2022-2004-4-2200000000000-220000000000000000000000000000−2i32i3000000000000
χ644-44-4-244-42-42-2-440-2022-2004-4-2200000000000-2200000000000000000000000000002i3−2i3000000000000
χ654-44-4-24-442-42-2-440-2022-200-442-2000000000002-200000000000000000000000−2i32i300000000000000000
χ664-44-4-24-442-42-2-440-2022-200-442-2000000000002-2000000000000000000000002i3−2i300000000000000000
χ674-4-44440044-4-4-4-40404-4-4000000000000000000000000000−2i22i200000000000000000000000−2i22i20000000
χ684-4-44440044-4-4-4-40404-4-40000000000000000000000000002i2−2i2000000000000000000000002i2−2i20000000
χ694-4-44-2400-2422-4-40-20-22223−230000000000000000023−23000000−2i22i200000000000000000000000i2−i2i6−i600000
χ704-4-44-2400-2422-4-40-20-22223−230000000000000000023−230000002i2−2i200000000000000000000000−i2i2−i6i600000
χ714-4-44-2400-2422-4-40-20-222−232300000000000000000−2323000000−2i22i200000000000000000000000i2−i2−i6i600000
χ724-4-44-2400-2422-4-40-20-222−232300000000000000000−23230000002i2−2i200000000000000000000000−i2i2i6−i600000
χ7388-8-88-400-848-8-440-404-440000000000000000000000000000000000000000000000000000000000000
χ7488-8-8-48004-8-448-80-404-440000000000000000000000000000000000000000000000000000000000000
χ7588-8-8-4-40044-44-44020-22-20000000000006-600000000000000000000000000000000000000000000000
χ7688-8-8-4-40044-44-44020-22-2000000000000-6600000000000000000000000000000000000000000000000
χ778-88-8-4-48-8444-44-4020-2-2200-44-44000000000002-2000000000000000000000000000000000000000000
χ788-88-8-4-4-88444-44-4020-2-22004-44-400000000000-22000000000000000000000000000000000000000000
χ798-8-888-4008-4-8-8440-40-4440000000000000000000000000000000000000000000000000000000000000
χ808-8-88-4-400-4-444440202-2-243−4300000000000000000−23230000000000000000000000000000000000000000
χ818-8-88-4-400-4-444440202-2-2−43430000000000000000023−230000000000000000000000000000000000000000

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