Finite Group Databasebeta

← Group #11773342

Character table — Group #11773342

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111111114444444444444444448888888899999999121212121212121212121212121212122424242424242424242424242424242436363636363636363636
order1222222222336666666666666666666666222222224444444444444444121212121212121212121212121212122244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ511111111-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1
χ611111111-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ711111111-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ811111111-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1
χ911-1-111-1-11-1111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1ii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i1-1ii−i−iii−i−i
χ1011-1-111-1-11-1111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1−i−iii−i−iii11-1-111-1-1−i−iii−i−iii1-1−i−iii−i−iii
χ1111-1-111-1-11-1111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111ii−i−iii−i−i-1-111-1-111ii−i−iii−i−i1-1−i−iii−i−iii
χ1211-1-111-1-11-1111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111−i−iii−i−iii-1-111-1-111−i−iii−i−iii1-1ii−i−iii−i−i
χ1311-1-111-1-1-11111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111ii−i−i−i−iii11-1-1-1-111ii−i−i−i−iii-11ii−i−i−i−iii
χ1411-1-111-1-1-11111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111−i−iiiii−i−i11-1-1-1-111−i−iiiii−i−i-11−i−iiiii−i−i
χ1511-1-111-1-1-11111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1ii−i−i−i−iii-1-11111-1-1ii−i−i−i−iii-11−i−iiiii−i−i
χ1611-1-111-1-1-11111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1−i−iiiii−i−i-1-11111-1-1−i−iiiii−i−i-11ii−i−i−i−iii
χ172222222222222222222222222222222222-2-2-2-2-2-2-2-200000000000000000000000000000000-2-200000000
χ1822222222-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000002200000000
χ19222-2-2-22-2002222-2-2222-2-2-2-2-22-20000000022-2-22-22-200002i−2i2i−2i0000000000002i−2i2i−2i000000000000000000
χ20222-2-2-22-2002222-2-2222-2-2-2-2-22-20000000022-2-22-22-20000−2i2i−2i2i000000000000−2i2i−2i2i000000000000000000
χ21222-2-2-22-2002222-2-2222-2-2-2-2-22-200000000-2-222-22-222i−2i2i−2i0000000000002i−2i2i−2i0000000000000000000000
χ22222-2-2-22-2002222-2-2222-2-2-2-2-22-200000000-2-222-22-22−2i2i−2i2i000000000000−2i2i−2i2i0000000000000000000000
χ2322-22-2-2-22002222-2-2-2-2-2222-2-2-220000000022-2-2-22-2200002i−2i−2i2i0000000000002i−2i−2i2i000000000000000000
χ2422-22-2-2-22002222-2-2-2-2-2222-2-2-220000000022-2-2-22-220000−2i2i2i−2i000000000000−2i2i2i−2i000000000000000000
χ2522-22-2-2-22002222-2-2-2-2-2222-2-2-2200000000-2-2222-22-22i−2i−2i2i0000000000002i−2i−2i2i0000000000000000000000
χ2622-22-2-2-22002222-2-2-2-2-2222-2-2-2200000000-2-2222-22-2−2i2i2i−2i000000000000−2i2i2i−2i0000000000000000000000
χ2722-2-222-2-22-2222222-2-2-2-2-2-222-2-22222-2-2-2-2-2-2-2-2222200000000000000000000000000000000-2200000000
χ2822-2-222-2-2-22222222-2-2-2-2-2-222-2-2-2-2-2-22222-2-2-2-22222000000000000000000000000000000002-200000000
χ292-2222-2-2-20022-2-22-222-222-22-2-2-2000000002-22-22-2-22000000002i−2i2i−2i0000000000002i−2i2i−2i00000000000000
χ302-2222-2-2-20022-2-22-222-222-22-2-2-2000000002-22-22-2-2200000000−2i2i−2i2i000000000000−2i2i−2i2i00000000000000
χ312-2222-2-2-20022-2-22-222-222-22-2-2-200000000-22-22-222-20000000000002i−2i2i−2i0000000000002i−2i2i−2i0000000000
χ322-2222-2-2-20022-2-22-222-222-22-2-2-200000000-22-22-222-2000000000000−2i2i−2i2i000000000000−2i2i−2i2i0000000000
χ332-22-2-22-220022-2-2-2222-2-2-22-22-22000000002-2-2222-2-2000000000000000000000000000000000000002i−2i2i−2i
χ342-22-2-22-220022-2-2-2222-2-2-22-22-22000000002-2-2222-2-200000000000000000000000000000000000000−2i2i−2i2i
χ352-22-2-22-220022-2-2-2222-2-2-22-22-2200000000-222-2-2-22200000000000000000000000000000000002-22-20000
χ362-22-2-22-220022-2-2-2222-2-2-22-22-2200000000-222-2-2-2220000000000000000000000000000000000-22-220000
χ372-2-22-222-20022-2-2-22-2-2222-2-222-2000000002-2-22-2-222000000000000000000000000000000000000002-2-22
χ382-2-22-222-20022-2-2-22-2-2222-2-222-2000000002-2-22-2-22200000000000000000000000000000000000000-222-2
χ392-2-22-222-20022-2-2-22-2-2222-2-222-200000000-222-222-2-200000000000000000000000000000000002i−2i−2i2i0000
χ402-2-22-222-20022-2-2-22-2-2222-2-222-200000000-222-222-2-20000000000000000000000000000000000−2i2i2i−2i0000
χ412-2-2-22-2220022-2-22-2-2-22-2-222-222000000002-22-2-222-2000000002-2-220000000000002-2-2200000000000000
χ422-2-2-22-2220022-2-22-2-2-22-2-222-222000000002-22-2-222-200000000-222-2000000000000-222-200000000000000
χ432-2-2-22-2220022-2-22-2-2-22-2-222-22200000000-22-222-2-220000000000002-2-220000000000002-2-220000000000
χ442-2-2-22-2220022-2-22-2-2-22-2-222-22200000000-22-222-2-22000000000000-222-2000000000000-222-20000000000
χ4544444444441-21-2111-2-21-2-2-2-21111-2-211-2-200000000000000002222222200000000-1-1-1-1-1-1-1-10000000000
χ4644444444441-21-2111-2-21-2-2-2-21111-2-211-2-20000000000000000-2-2-2-2-2-2-2-200000000111111110000000000
χ474444444444-21-21-2-2-211-21111-2-2-2-211-2-211000000002222222200000000-1-1-1-1-1-1-1-1000000000000000000
χ484444444444-21-21-2-2-211-21111-2-2-2-211-2-21100000000-2-2-2-2-2-2-2-20000000011111111000000000000000000
χ4944444444-4-41-21-2111-2-21-2-2-2-211-1-122-1-12200000000000000002222-2-2-2-200000000-1-1-1-111110000000000
χ5044444444-4-41-21-2111-2-21-2-2-2-211-1-122-1-1220000000000000000-2-2-2-22222000000001111-1-1-1-10000000000
χ5144444444-4-4-21-21-2-2-211-21111-2-222-1-122-1-1000000002222-2-2-2-200000000-1-1-1-11111000000000000000000
χ5244444444-4-4-21-21-2-2-211-21111-2-222-1-122-1-100000000-2-2-2-22222000000001111-1-1-1-1000000000000000000
χ53444-4-4-44-400-21-2122-2112-1-1-1-1-22003-3003-3000000002i−2i2i−2i2i−2i2i−2i00000000−ii−ii−ii−ii000000000000000000
χ54444-4-4-44-400-21-2122-2112-1-1-1-1-22003-3003-300000000−2i2i−2i2i−2i2i−2i2i00000000i−ii−ii−ii−i000000000000000000
χ55444-4-4-44-400-21-2122-2112-1-1-1-1-2200-3300-33000000002i−2i2i−2i−2i2i−2i2i00000000−ii−iii−ii−i000000000000000000
χ56444-4-4-44-400-21-2122-2112-1-1-1-1-2200-3300-3300000000−2i2i−2i2i2i−2i2i−2i00000000i−ii−i−ii−ii000000000000000000
χ5744-44-4-4-4400-21-21222-1-1-211-1-12-2003-300-33000000002i−2i−2i2i2i−2i−2i2i00000000−iii−i−iii−i000000000000000000
χ5844-44-4-4-4400-21-21222-1-1-211-1-12-2003-300-3300000000−2i2i2i−2i−2i2i2i−2i00000000i−i−iii−i−ii000000000000000000
χ5944-44-4-4-4400-21-21222-1-1-211-1-12-200-33003-3000000002i−2i−2i2i−2i2i2i−2i00000000−iii−ii−i−ii000000000000000000
χ6044-44-4-4-4400-21-21222-1-1-211-1-12-200-33003-300000000−2i2i2i−2i2i−2i−2i2i00000000i−i−ii−iii−i000000000000000000
χ6144-4-444-4-44-41-21-211-122-122-2-2-1-111-2-2-1-12200000000000000002i2i−2i−2i2i2i−2i−2i00000000−i−iii−i−iii0000000000
χ6244-4-444-4-44-41-21-211-122-122-2-2-1-111-2-2-1-1220000000000000000−2i−2i2i2i−2i−2i2i2i00000000ii−i−iii−i−i0000000000
χ6344-4-444-4-44-4-21-21-2-22-1-12-1-11122-2-21122-1-10000000022-2-222-2-200000000-1-111-1-111000000000000000000
χ6444-4-444-4-44-4-21-21-2-22-1-12-1-11122-2-21122-1-100000000-2-222-2-2220000000011-1-111-1-1000000000000000000
χ6544-4-444-4-4-441-21-211-122-122-2-2-1-1-1-12211-2-200000000000000002i2i−2i−2i−2i−2i2i2i00000000−i−iiiii−i−i0000000000
χ6644-4-444-4-4-441-21-211-122-122-2-2-1-1-1-12211-2-20000000000000000−2i−2i2i2i2i2i−2i−2i00000000ii−i−i−i−iii0000000000
χ6744-4-444-4-4-44-21-21-2-22-1-12-1-1112222-1-1-2-2110000000022-2-2-2-22200000000-1-11111-1-1000000000000000000
χ6844-4-444-4-4-44-21-21-2-22-1-12-1-1112222-1-1-2-21100000000-2-22222-2-20000000011-1-1-1-111000000000000000000
χ694-4444-4-4-4001-2-121-11-221-22-22-1-13-3003-30000000000000000002i−2i2i−2i2i−2i2i−2i00000000−ii−ii−ii−ii0000000000
χ704-4444-4-4-4001-2-121-11-221-22-22-1-13-3003-3000000000000000000−2i2i−2i2i−2i2i−2i2i00000000i−ii−ii−ii−i0000000000
χ714-4444-4-4-4001-2-121-11-221-22-22-1-1-3300-330000000000000000002i−2i2i−2i−2i2i−2i2i00000000−ii−iii−ii−i0000000000
χ724-4444-4-4-4001-2-121-11-221-22-22-1-1-3300-33000000000000000000−2i2i−2i2i2i−2i2i−2i00000000i−ii−i−ii−ii0000000000
χ734-4-4-44-444001-2-121-1-12-2-12-2-22113-300-330000000000000000002-2-222-2-2200000000-111-1-111-10000000000
χ744-4-4-44-444001-2-121-1-12-2-12-2-22113-300-33000000000000000000-222-2-222-2000000001-1-111-1-110000000000
χ754-4-4-44-444001-2-121-1-12-2-12-2-2211-33003-30000000000000000002-2-22-222-200000000-111-11-1-110000000000
χ764-4-4-44-444001-2-121-1-12-2-12-2-2211-33003-3000000000000000000-222-22-2-22000000001-1-11-111-10000000000
χ77888-8-8-88-8002-42-4-2-22-4-4-244442-20000000000000000000000000000000000000000000000000000000000
χ7888-88-8-8-88002-42-4-2-2-2442-4-444-220000000000000000000000000000000000000000000000000000000000
χ798-8888-8-8-800-424-2-44-42-2-42-22-2440000000000000000000000000000000000000000000000000000000000
χ808-88-8-88-88002-4-24-222-44-24-44-4-220000000000000000000000000000000000000000000000000000000000
χ818-88-8-88-8800-424-24-4-42-24-22-224-40000000000000000000000000000000000000000000000000000000000
χ828-8-88-888-8002-4-24-22-24-42-444-42-20000000000000000000000000000000000000000000000000000000000
χ838-8-88-888-800-424-24-44-22-42-2-22-440000000000000000000000000000000000000000000000000000000000
χ848-8-8-88-88800-424-2-444-224-222-2-4-40000000000000000000000000000000000000000000000000000000000

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