Finite Group Databasebeta

← Group #11773474

Character table — Group #11773474

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111111114444444444444444448888888899999999121212121212121212121212121212122424242424242424242424242424242436363636363636363636
order122222223344666666666666661212121212121212222222224444444444444444121212121212121212121212121212124444444444
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
χ51111111111-1-111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1
χ61111111111-1-111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ71111111111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ81111111111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1
χ911-1-1-1-111111-1111-1-1-1-1-1-111-1-111111-1-1-1-11111-1-1-1-1ii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i11-1-111-1-11-1ii−i−iii−i−i
χ1011-1-1-1-111111-1111-1-1-1-1-1-111-1-111111-1-1-1-11111-1-1-1-1ii−i−iii−i−i-1-111-1-111ii−i−iii−i−i-1-111-1-1111-1−i−iii−i−iii
χ1111-1-1-1-111111-1111-1-1-1-1-1-111-1-111111-1-1-1-11111-1-1-1-1−i−iii−i−iii11-1-111-1-1−i−iii−i−iii11-1-111-1-11-1−i−iii−i−iii
χ1211-1-1-1-111111-1111-1-1-1-1-1-111-1-111111-1-1-1-11111-1-1-1-1−i−iii−i−iii-1-111-1-111−i−iii−i−iii-1-111-1-1111-1ii−i−iii−i−i
χ1311-1-1-1-11111-11111-1-1-1-1-1-111-1-11-1-1-1-111111111-1-1-1-1ii−i−i−i−iii11-1-1-1-111ii−i−i−i−iii11-1-1-1-111-11ii−i−i−i−iii
χ1411-1-1-1-11111-11111-1-1-1-1-1-111-1-11-1-1-1-111111111-1-1-1-1ii−i−i−i−iii-1-11111-1-1ii−i−i−i−iii-1-11111-1-1-11−i−iiiii−i−i
χ1511-1-1-1-11111-11111-1-1-1-1-1-111-1-11-1-1-1-111111111-1-1-1-1−i−iiiii−i−i11-1-1-1-111−i−iiiii−i−i11-1-1-1-111-11−i−iiiii−i−i
χ1611-1-1-1-11111-11111-1-1-1-1-1-111-1-11-1-1-1-111111111-1-1-1-1−i−iiiii−i−i-1-11111-1-1−i−iiiii−i−i-1-11111-1-1-11ii−i−i−i−iii
χ172222222222222222222222222222222222-2-2-2-2-2-2-2-200000000000000000000000000000000-2-200000000
χ182222222222-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000002200000000
χ19222-22-2-2-2220022-2222-2-2-2-2-22-2-20000000022-2-222-2-200002-22-20000000000002-22-2000000000000000000
χ20222-22-2-2-2220022-2222-2-2-2-2-22-2-20000000022-2-222-2-20000-22-22000000000000-22-22000000000000000000
χ21222-22-2-2-2220022-2222-2-2-2-2-22-2-200000000-2-222-2-2222i−2i2i−2i0000000000002i−2i2i−2i0000000000000000000000
χ22222-22-2-2-2220022-2222-2-2-2-2-22-2-200000000-2-222-2-222−2i2i−2i2i000000000000−2i2i−2i2i0000000000000000000000
χ2322-22-22-2-2220022-2-2-2-2222-2-2-22-20000000022-2-2-2-22200002i−2i−2i2i0000000000002i−2i−2i2i000000000000000000
χ2422-22-22-2-2220022-2-2-2-2222-2-2-22-20000000022-2-2-2-2220000−2i2i2i−2i000000000000−2i2i2i−2i000000000000000000
χ2522-22-22-2-2220022-2-2-2-2222-2-2-22-200000000-2-22222-2-22-2-220000000000002-2-220000000000000000000000
χ2622-22-22-2-2220022-2-2-2-2222-2-2-22-200000000-2-22222-2-2-222-2000000000000-222-20000000000000000000000
χ2722-2-2-2-222222-2222-2-2-2-2-2-222-2-222222-2-2-2-2-2-2-2-2222200000000000000000000000000000000-2200000000
χ2822-2-2-2-22222-22222-2-2-2-2-2-222-2-22-2-2-2-22222-2-2-2-22222000000000000000000000000000000002-200000000
χ292-222-2-2-222200-2-2222-222-2-2-2-2-22000000002-22-22-22-2000000000000000000000000000000000000002i−2i2i−2i
χ302-222-2-2-222200-2-2222-222-2-2-2-2-22000000002-22-22-22-200000000000000000000000000000000000000−2i2i−2i2i
χ312-222-2-2-222200-2-2222-222-2-2-2-2-2200000000-22-22-22-2200000000000000000000000000000000002i−2i2i−2i0000
χ322-222-2-2-222200-2-2222-222-2-2-2-2-2200000000-22-22-22-220000000000000000000000000000000000−2i2i−2i2i0000
χ332-22-2-222-22200-2-2-222-2-2-2222-22-2000000002-2-222-2-22000000002i−2i2i−2i0000000000002i−2i2i−2i00000000000000
χ342-22-2-222-22200-2-2-222-2-2-2222-22-2000000002-2-222-2-2200000000−2i2i−2i2i000000000000−2i2i−2i2i00000000000000
χ352-22-2-222-22200-2-2-222-2-2-2222-22-200000000-222-2-222-20000000000002i−2i2i−2i0000000000002i−2i2i−2i0000000000
χ362-22-2-222-22200-2-2-222-2-2-2222-22-200000000-222-2-222-2000000000000−2i2i−2i2i000000000000−2i2i−2i2i0000000000
χ372-2-222-22-22200-2-2-2-2-2222-2222-2-2000000002-2-22-222-2000000002i−2i−2i2i0000000000002i−2i−2i2i00000000000000
χ382-2-222-22-22200-2-2-2-2-2222-2222-2-2000000002-2-22-222-200000000−2i2i2i−2i000000000000−2i2i2i−2i00000000000000
χ392-2-222-22-22200-2-2-2-2-2222-2222-2-200000000-222-22-2-220000000000002i−2i−2i2i0000000000002i−2i−2i2i0000000000
χ402-2-222-22-22200-2-2-2-2-2222-2222-2-200000000-222-22-2-22000000000000−2i2i2i−2i000000000000−2i2i2i−2i0000000000
χ412-2-2-222-222200-2-22-2-22-2-22-2-2222000000002-22-2-22-22000000000000000000000000000000000000002-2-22
χ422-2-2-222-222200-2-22-2-22-2-22-2-2222000000002-22-2-22-2200000000000000000000000000000000000000-222-2
χ432-2-2-222-222200-2-22-2-22-2-22-2-222200000000-22-222-22-200000000000000000000000000000000002-2-220000
χ442-2-2-222-222200-2-22-2-22-2-22-2-222200000000-22-222-22-20000000000000000000000000000000000-222-20000
χ45444444441-2441-211-2-21-2-21-211-211-2-211-2-2000000002222222200000000-1-1-1-1-1-1-1-1000000000000000000
χ46444444441-2441-211-2-21-2-21-211-211-2-211-2-200000000-2-2-2-2-2-2-2-20000000011111111000000000000000000
χ47444444441-2-4-41-211-2-21-2-21-211-2-1-122-1-122000000002222-2-2-2-200000000-1-1-1-11111000000000000000000
χ48444444441-2-4-41-211-2-21-2-21-211-2-1-122-1-12200000000-2-2-2-22222000000001111-1-1-1-1000000000000000000
χ4944444444-2144-21-2-211-211-21-2-21-2-211-2-21100000000000000002222222200000000-1-1-1-1-1-1-1-10000000000
χ5044444444-2144-21-2-211-211-21-2-21-2-211-2-2110000000000000000-2-2-2-2-2-2-2-200000000111111110000000000
χ5144444444-21-4-4-21-2-211-211-21-2-2122-1-122-1-100000000000000002222-2-2-2-200000000-1-1-1-111110000000000
χ5244444444-21-4-4-21-2-211-211-21-2-2122-1-122-1-10000000000000000-2-2-2-22222000000001111-1-1-1-10000000000
χ53444-44-4-4-41-2001-2-11-2-2-122-121-123i−3i003i−3i00000000002i−2i2i−2i2-22-200000000−ii−ii-11-11000000000000000000
χ54444-44-4-4-41-2001-2-11-2-2-122-121-123i−3i003i−3i0000000000−2i2i−2i2i-22-2200000000i−ii−i1-11-1000000000000000000
χ55444-44-4-4-41-2001-2-11-2-2-122-121-12−3i3i00−3i3i00000000002i−2i2i−2i-22-2200000000−ii−ii1-11-1000000000000000000
χ56444-44-4-4-41-2001-2-11-2-2-122-121-12−3i3i00−3i3i0000000000−2i2i−2i2i2-22-200000000i−ii−i-11-11000000000000000000
χ5744-44-44-4-41-2001-2-1-1221-2-2-12-1123i−3i00−3i3i00000000002-2-22−2i2i2i−2i00000000-111-1i−i−ii000000000000000000
χ5844-44-44-4-41-2001-2-1-1221-2-2-12-1123i−3i00−3i3i0000000000-222-22i−2i−2i2i000000001-1-11−iii−i000000000000000000
χ5944-44-44-4-41-2001-2-1-1221-2-2-12-112−3i3i003i−3i00000000002-2-222i−2i−2i2i00000000-111-1−iii−i000000000000000000
χ6044-44-44-4-41-2001-2-1-1221-2-2-12-112−3i3i003i−3i0000000000-222-2−2i2i2i−2i000000001-1-11i−i−ii000000000000000000
χ6144-4-4-4-4441-24-41-21-122-1221-2-1-1-211-2-2-1-122000000002i2i−2i−2i2i2i−2i−2i00000000−i−iii−i−iii000000000000000000
χ6244-4-4-4-4441-24-41-21-122-1221-2-1-1-211-2-2-1-12200000000−2i−2i2i2i−2i−2i2i2i00000000ii−i−iii−i−i000000000000000000
χ6344-4-4-4-4441-2-441-21-122-1221-2-1-1-2-1-12211-2-2000000002i2i−2i−2i−2i−2i2i2i00000000−i−iiiii−i−i000000000000000000
χ6444-4-4-4-4441-2-441-21-122-1221-2-1-1-2-1-12211-2-200000000−2i−2i2i2i2i2i−2i−2i00000000ii−i−i−i−iii000000000000000000
χ6544-4-4-4-444-214-4-21-22-1-12-1-1-21221-2-21122-1-1000000000000000022-2-222-2-200000000-1-111-1-1110000000000
χ6644-4-4-4-444-214-4-21-22-1-12-1-1-21221-2-21122-1-10000000000000000-2-222-2-2220000000011-1-111-1-10000000000
χ6744-4-4-4-444-21-44-21-22-1-12-1-1-2122122-1-1-2-211000000000000000022-2-2-2-22200000000-1-11111-1-10000000000
χ6844-4-4-4-444-21-44-21-22-1-12-1-1-2122122-1-1-2-2110000000000000000-2-22222-2-20000000011-1-1-1-1110000000000
χ694-44-4-444-4-21002-12-21-12-11-212-2-1003-3003-300000000000000002i−2i2i−2i2i−2i2i−2i00000000−ii−ii−ii−ii0000000000
χ704-44-4-444-4-21002-12-21-12-11-212-2-1003-3003-30000000000000000−2i2i−2i2i−2i2i−2i2i00000000i−ii−ii−ii−i0000000000
χ714-44-4-444-4-21002-12-21-12-11-212-2-100-3300-3300000000000000002i−2i2i−2i−2i2i−2i2i00000000−ii−iii−ii−i0000000000
χ724-44-4-444-4-21002-12-21-12-11-212-2-100-3300-330000000000000000−2i2i−2i2i2i−2i2i−2i00000000i−ii−i−ii−ii0000000000
χ734-4-444-44-4-21002-122-11-21-1-21-22-1003-300-3300000000000000002i−2i−2i2i2i−2i−2i2i00000000−iii−i−iii−i0000000000
χ744-4-444-44-4-21002-122-11-21-1-21-22-1003-300-330000000000000000−2i2i2i−2i−2i2i2i−2i00000000i−i−iii−i−ii0000000000
χ754-4-444-44-4-21002-122-11-21-1-21-22-100-33003-300000000000000002i−2i−2i2i−2i2i2i−2i00000000−iii−ii−i−ii0000000000
χ764-4-444-44-4-21002-122-11-21-1-21-22-100-33003-30000000000000000−2i2i2i−2i2i−2i−2i2i00000000i−i−ii−iii−i0000000000
χ77888-88-8-8-8-4200-424-4224-2-24-2-44-20000000000000000000000000000000000000000000000000000000000
χ7888-88-88-8-8-4200-4244-2-2-4224-24-4-20000000000000000000000000000000000000000000000000000000000
χ798-888-8-8-882-400-2422-442-44-24-2-2-40000000000000000000000000000000000000000000000000000000000
χ808-888-8-8-88-42004-2-4-42-2-42-24-24420000000000000000000000000000000000000000000000000000000000
χ818-88-8-888-82-400-24-22-44-24-42-4-2240000000000000000000000000000000000000000000000000000000000
χ828-8-888-88-82-400-24-2-24-42-442-42-240000000000000000000000000000000000000000000000000000000000
χ838-8-8-888-882-400-242-24-4-24-4-2422-40000000000000000000000000000000000000000000000000000000000
χ848-8-8-888-88-42004-2-44-224-224-2-4-420000000000000000000000000000000000000000000000000000000000

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