Finite Group Databasebeta

← Group #11781185

Character table — Group #11781185

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222222444444444444444444444888888888888888888888818181818242424242424242424242424363636363636484848484848
order12223344446666662234446661212121212121212121212126666666612121212121212121212121212128888888824242424242424248888884412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-11-1-111
χ51111111111111111-1-11-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1
χ61111111111111111-1-11-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ71111111111111111-1-11-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-11-1-111
χ81111111111111111-1-11-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111-111-1-1
χ92222222-22-2222222222-2-2-222222-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-222-2-2-2-2-2-20000000000000000000000000000
χ102222222-22-2222222-2-2222-222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-22222-2-222-2-222220000000000000000000000000000
χ11222222-22-2222222200200-2222-2-222222222-2-2000000000000-2-2-2-2-2-200002222000000000000-2-20000000000
χ12222222-22-2222222200200-2222-2-222222222-2-2000000000000-2-2-2-2-2-20000-2-2-2-2000000000000220000000000
χ13222222-2-2-2-2222222002002222-2-2-2-2-2-2-2-2-2-2-2-200000000000022-2-22200000000000000000000002i2i−2i−2i000000
χ14222222-2-2-2-2222222002002222-2-2-2-2-2-2-2-2-2-2-2-200000000000022-2-2220000000000000000000000−2i−2i2i2i000000
χ1522222-122222-12-12-122-1222-1-1-12-122-1-1-1-1-1-12-122-1-1-1-1-1-122-1-12-1-1-1-1-1-1-1-1-1000000220000-1-1-1-10000000200-1-1
χ1622222-122222-12-12-122-1222-1-1-12-122-1-1-1-1-1-12-122-1-1-1-1-1-122-1-12-1-1-1-1-1-1-1-1-1000000-2-2000011110000000-20011
χ1722222-122222-12-12-1-2-2-1-2-22-1-1-12-122-1-1-1-1-1-12-1-2-2111111-2-2112-1-1-1-1-11111000000220000-1-1-1-10000000-20011
χ1822222-122222-12-12-1-2-2-1-2-22-1-1-12-122-1-1-1-1-1-12-1-2-2111111-2-2112-1-1-1-1-11111000000-2-2000011110000000200-1-1
χ1922222-12-22-22-12-12-122-1-2-2-2-1-1-12-1-2-21111112-122-1-1-1-1-1-1-2-211-21-1-1111111000000000000−i3−i3i3i30000000000−i3i3
χ2022222-12-22-22-12-12-122-1-2-2-2-1-1-12-1-2-21111112-122-1-1-1-1-1-1-2-211-21-1-1111111000000000000i3i3−i3−i30000000000i3−i3
χ2122222-12-22-22-12-12-1-2-2-122-2-1-1-12-1-2-21111112-1-2-211111122-1-1-21-1-111-1-1-1-1000000000000−i3−i3i3i30000000000i3−i3
χ2222222-12-22-22-12-12-1-2-2-122-2-1-1-12-1-2-21111112-1-2-211111122-1-1-21-1-111-1-1-1-1000000000000i3i3−i3−i30000000000−i3i3
χ232222-122222-12-12-1222-1222-1-1-1-12-1-122-1-1-1-1-12-1-122-1-1-1-1-1-122-12-1-1-1-1-1-1-1-100002200-1-1-1-1000000000020-1-100
χ242222-122222-12-12-1222-1222-1-1-1-12-1-122-1-1-1-1-12-1-122-1-1-1-1-1-122-12-1-1-1-1-1-1-1-10000-2-20011110000000000-201100
χ252222-122222-12-12-12-2-2-1-2-22-1-1-1-12-1-122-1-1-1-1-1211-2-2111111-2-2-12-1-1-1-1111100002200-1-1-1-10000000000-201100
χ262222-122222-12-12-12-2-2-1-2-22-1-1-1-12-1-122-1-1-1-1-1211-2-2111111-2-2-12-1-1-1-111110000-2-2001111000000000020-1-100
χ272222-122-22-2-12-12-1222-1-2-2-2-1-1-1-1211-2-21111-12-1-122-1-1-1-111-2-21-2-1-111111100000000−i3−i3i3i3000000000000−i3i300
χ282222-122-22-2-12-12-1222-1-2-2-2-1-1-1-1211-2-21111-12-1-122-1-1-1-111-2-21-2-1-111111100000000i3i3−i3−i3000000000000i3−i300
χ292222-122-22-2-12-12-12-2-2-122-2-1-1-1-1211-2-21111-1211-2-21111-1-1221-2-1-111-1-1-1-100000000−i3−i3i3i3000000000000i3−i300
χ302222-122-22-2-12-12-12-2-2-122-2-1-1-1-1211-2-21111-1211-2-21111-1-1221-2-1-111-1-1-1-100000000i3i3−i3−i3000000000000−i3i300
χ3122-2-22220-2022-2-2-2-22-220002-2-22200000000-2-22-22-222-2-20000002-200000022−2−20000000000002−22−22−2000000
χ3222-2-22220-2022-2-2-2-22-220002-2-22200000000-2-22-22-222-2-20000002-2000000−2−222000000000000−22−22−22000000
χ3322-2-22220-2022-2-2-2-2-2220002-2-22200000000-2-2-22-22-2-2220000002-200000022−2−20000000000002−2−22−22000000
χ3422-2-22220-2022-2-2-2-2-2220002-2-22200000000-2-2-22-22-2-2220000002-2000000−2−222000000000000−222−22−2000000
χ3522-2-222-202022-2-2-2-20022i−2i02-2-2-2-20000000022000000002i−2i2i−2i00-22002i2i−2i−2i22−2−2000000000000−22−i2i2i2−i2000000
χ3622-2-222-202022-2-2-2-20022i−2i02-2-2-2-20000000022000000002i−2i2i−2i00-22002i2i−2i−2i−2−2220000000000002−2i2−i2−i2i2000000
χ3722-2-222-202022-2-2-2-2002−2i2i02-2-2-2-2000000002200000000−2i2i−2i2i00-2200−2i−2i2i2i22−2−2000000000000−22i2−i2−i2i2000000
χ3822-2-222-202022-2-2-2-2002−2i2i02-2-2-2-2000000002200000000−2i2i−2i2i00-2200−2i−2i2i2i−2−2220000000000002−2−i2i2i2−i2000000
χ392-22-2220-202-2-222-2-2002000-2-22002-22-222-2-20000000000000000000000002-22-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000
χ402-22-2220-202-2-222-2-2002000-2-22002-22-222-2-20000000000000000000000002-22-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000
χ412-22-2220-202-2-222-2-2002000-2-22002-22-222-2-2000000000000000000000000-22-22−i2i2i2−i2−i2i2−i2i2i2−i2i2−i2000000000000
χ422-22-2220-202-2-222-2-2002000-2-22002-22-222-2-2000000000000000000000000-22-22i2−i2−i2i2i2−i2i2−i2−i2i2−i2i2000000000000
χ4344444-2-44-444-24-24-200-200-4-2-2-2-4244-2-2-2-2-2-2-42000000000000-42222200000000000000000000000000000000
χ4444444-2-4-4-4-44-24-24-200-2004-2-2-2-42-4-4222222-420000000000004-222-2-200000000000000000000000000000000
χ454444-24-44-44-24-24-2400-200-4-2-2-22-4-2-244-2-2-2-22-40000000000002-4222200000000000000000000000000000000
χ464444-24-4-4-4-4-24-24-2400-2004-2-2-22-422-4-422222-4000000000000-2422-2-200000000000000000000000000000000
χ474444-2-24444-2-2-2-2-2-2441444111-2-2-2-2-2-21111-2-2-2-2-2-21111-2-2-2-2-2-2111111110000000000000000000000000000
χ484444-2-24444-2-2-2-2-2-2-4-41-4-44111-2-2-2-2-2-21111-2-22222-1-1-1-12222-2-21111-1-1-1-10000000000000000000000000000
χ494444-2-24-44-4-2-2-2-2-2-2441-4-4-4111-2-22222-1-1-1-1-2-2-2-2-2-2111122222211-1-1-1-1-1-10000000000000000000000000000
χ504444-2-24-44-4-2-2-2-2-2-2-4-4144-4111-2-22222-1-1-1-1-2-22222-1-1-1-1-2-2-2-22211-1-111110000000000000000000000000000
χ514444-2-2-44-44-2-2-2-2-2-200100-411122-2-2-2-211112200003-33-3000022-1-1-1-13-33-30000000000000000000000000000
χ524444-2-2-44-44-2-2-2-2-2-200100-411122-2-2-2-21111220000-33-33000022-1-1-1-1-33-330000000000000000000000000000
χ534444-2-2-4-4-4-4-2-2-2-2-2-2001004111222222-1-1-1-12200003-33-30000-2-2-1-111-33-330000000000000000000000000000
χ544444-2-2-4-4-4-4-2-2-2-2-2-2001004111222222-1-1-1-1220000-33-330000-2-2-1-1113-33-30000000000000000000000000000
χ5544-4-44-240-404-2-42-424-4-2000-2224-200000000-424-4-22-2-222000000-220000000000000000000000000000000000
χ5644-4-44-240-404-2-42-42-44-2000-2224-200000000-42-442-222-2-2000000-220000000000000000000000000000000000
χ5744-4-44-2-40404-2-42-4200-24i−4i0-222-42000000004-2000000004i−4i−2i2i002-200−2i−2i2i2i0000000000000000000000000000
χ5844-4-44-2-40404-2-42-4200-2−4i4i0-222-42000000004-200000000−4i4i2i−2i002-2002i2i−2i−2i0000000000000000000000000000
χ5944-4-4-2440-40-242-42-44-4-2000-222-24000000002-4-224-4-2-222000000-220000000000000000000000000000000000
χ6044-4-4-2440-40-242-42-4-44-2000-222-24000000002-42-2-4422-2-2000000-220000000000000000000000000000000000
χ6144-4-4-24-4040-242-42-400-24i−4i0-2222-400000000-2400000000−2i2i4i−4i002-200−2i−2i2i2i0000000000000000000000000000
χ6244-4-4-24-4040-242-42-400-2−4i4i0-2222-400000000-24000000002i−2i−4i4i002-2002i2i−2i−2i0000000000000000000000000000
χ6344-4-4-2-240-40-2-222224-410001-1-1-2-200003i−3i3i−3i22-22-2211-1-10000001-13i−3i3i−3i−3i3i0000000000000000000000000000
χ6444-4-4-2-240-40-2-222224-410001-1-1-2-20000−3i3i−3i3i22-22-2211-1-10000001-1−3i3i−3i3i3i−3i0000000000000000000000000000
χ6544-4-4-2-240-40-2-22222-4410001-1-1-2-200003i−3i3i−3i222-22-2-1-1110000001-13i−3i−3i3i3i−3i0000000000000000000000000000
χ6644-4-4-2-240-40-2-22222-4410001-1-1-2-20000−3i3i−3i3i222-22-2-1-1110000001-1−3i3i3i−3i−3i3i0000000000000000000000000000
χ6744-4-4-2-2-4040-2-222220014i−4i01-1-12200003i−3i3i−3i-2-200003-3-33−2i2i−2i2i00-11−3i3iii−i−i0000000000000000000000000000
χ6844-4-4-2-2-4040-2-222220014i−4i01-1-1220000−3i3i−3i3i-2-20000-333-3−2i2i−2i2i00-113i−3iii−i−i0000000000000000000000000000
χ6944-4-4-2-2-4040-2-22222001−4i4i01-1-12200003i−3i3i−3i-2-20000-333-32i−2i2i−2i00-11−3i3i−i−iii0000000000000000000000000000
χ7044-4-4-2-2-4040-2-22222001−4i4i01-1-1220000−3i3i−3i3i-2-200003-3-332i−2i2i−2i00-113i−3i−i−iii0000000000000000000000000000
χ714-44-444040-4-4-444-4-4004000-4-4400-44-44-4-4440000000000000000000000000000000000000000000000000000
χ724-44-44-2040-4-424-2-4200-200022-200-442-222-2-20000000000000000000000000000000000006−6−66000000000000
χ734-44-44-2040-4-424-2-4200-200022-200-442-222-2-2000000000000000000000000000000000000−666−6000000000000
χ744-44-44-20-404-424-2-4200-200022-2004-4-22-2-222000000000000000000000000000000−2i22i20000i2−i2i2−i2000000000000
χ754-44-44-20-404-424-2-4200-200022-2004-4-22-2-2220000000000000000000000000000002i2−2i20000−i2i2−i2i2000000000000
χ764-44-4-24040-42-4-242-400-200022-2002-2-4422-2-2000000000000000000000000000000006−6−660000000000000000
χ774-44-4-24040-42-4-242-400-200022-2002-2-4422-2-200000000000000000000000000000000−666−60000000000000000
χ784-44-4-240-4042-4-242-400-200022-200-224-4-2-2220000000000000000000000000000−2i22i200i2−i2i2−i20000000000000000
χ794-44-4-240-4042-4-242-400-200022-200-224-4-2-22200000000000000000000000000002i2−2i200−i2i2−i2i20000000000000000
χ804-4-44440000-4-4-4-444004000-44-4000000000000000000000000000000000022−22−2222000000000000000000000000
χ814-4-44440000-4-4-4-444004000-44-40000000000000000000000000000000000−222222−22000000000000000000000000
χ828-88-8-4-4080-844-4-444002000-2-22004-44-4-2-2220000000000000000000000000000000000000000000000000000
χ838-88-8-4-40-80844-4-444002000-2-2200-44-4422-2-20000000000000000000000000000000000000000000000000000
χ848-8-888-40000-84-848-400-40004-4400000000000000000000000000000000000000000000000000000000000000
χ858-8-88-4800004-84-8-4800-40004-4400000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400004444-4-4002000-22-20000006i−6i−6i6i0000000000000000000000000000000000000000000000000000
χ878-8-88-4-400004444-4-4002000-22-2000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000

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