Finite Group Databasebeta

← Group #11922543

Character table — Group #11922543

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222223333446666666666888888881212161616161616161618181818242424242424242424242424242424242424242472727272
order122222366622226622222266663666666666366666662222244466666666661212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-11111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ4111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-111111111-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-11-11-1111111-1-1-1-1-1-111-1-11-11-1
χ61111-1-111111111-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1-11-11-1-11111-1-1-1-111-1-111-11-11
χ71111-1-111111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1111-11-111-1-1-1-11111-1-111-1-1-11-11
χ81111-1-111111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-111-11-11-1-1-1-1-1-1111111-1-1111-11-1
χ922222222222222222222222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222000000-1-1-1-1-1-1-1-10000000000
χ10222222222222222222-2-2-2-22222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2000000111111110000000000
χ11222222-1-1-1-12222-1-1220000-1-1-1-122222222-1-1-1-1-1-1-1-1-1-100002222-1-100000000-1-1-1-1-1-10000
χ12222222-1-1-1-12222-1-1220000-1-1-1-122222222-1-1-1-1-1-1-1-1-1-10000-2-2-2-211000000001111110000
χ132222-2-222222222-2-2-2-222-2-22222-1-1-1-11111-2-2-1-1-1-1111122-2-2000000-1-1-1-111110000000000
χ142222-2-222222222-2-2-2-2-2-2222222-1-1-1-11111-2-2-1-1-1-11111-2-2220000001111-1-1-1-10000000000
χ152222-2-2-1-1-1-1222211-2-20000-1-1-1-12222-2-2-2-211-1-1-1-1111100002-22-2-1-10000000011-1-1110000
χ162222-2-2-1-1-1-1222211-2-20000-1-1-1-12222-2-2-2-211-1-1-1-111110000-22-221100000000-1-111-1-10000
χ1722-2-22-22-2-2222-2-22-22-20000-2-22222-2-222-2-22-222-2-222-2-20000000000000000000000000000
χ1822-2-22-22-2-2222-2-22-22-20000-2-222-1-111-1-1112-2-1-111-1-1110000000000i3i3−i3−i3i3i3−i3−i30000000000
χ1922-2-22-22-2-2222-2-22-22-20000-2-222-1-111-1-1112-2-1-111-1-1110000000000−i3−i3i3i3−i3−i3i3i30000000000
χ2022-2-22-2-111-122-2-2-112-2000011-1-122-2-222-2-2-11-1-111-1-11100000000i3−i300000000i3−i3i3−i3i3−i30000
χ2122-2-22-2-111-122-2-2-112-2000011-1-122-2-222-2-2-11-1-111-1-11100000000−i3i300000000−i3i3−i3i3−i3i30000
χ2222-2-2-222-2-2222-2-2-22-220000-2-22222-2-2-2-222-2222-2-2-2-2220000000000000000000000000000
χ2322-2-2-222-2-2222-2-2-22-220000-2-222-1-11111-1-1-22-1-11111-1-10000000000i3i3−i3−i3−i3−i3i3i30000000000
χ2422-2-2-222-2-2222-2-2-22-220000-2-222-1-11111-1-1-22-1-11111-1-10000000000−i3−i3i3i3i3i3−i3−i30000000000
χ2522-2-2-22-111-122-2-21-1-22000011-1-122-2-2-2-2221-1-1-11111-1-100000000i3−i300000000−i3i3i3−i3−i3i30000
χ2622-2-2-22-111-122-2-21-1-22000011-1-122-2-2-2-2221-1-1-11111-1-100000000−i3i300000000i3−i3−i3i3i3−i30000
χ272-22-20022-2-22-22-20000002-22-22-22-22-20000002-22-20000002-200000000002-22-20000000000
χ282-22-20022-2-22-22-20000002-22-22-2-11-11i3−i3i3−i300-11-11i3−i3i3−i3002-2000000i3−i3i3−i3-11-110000000000
χ292-22-20022-2-22-22-20000002-22-22-2-11-11−i3i3−i3i300-11-11−i3i3−i3i3002-2000000−i3i3−i3i3-11-110000000000
χ302-22-20022-2-22-22-2000000-222-22-22-22-20000002-22-2000000-220000000000-22-220000000000
χ312-22-20022-2-22-22-2000000-222-22-2-11-11i3−i3i3−i300-11-11i3−i3i3−i300-22000000−i3i3−i3i31-11-10000000000
χ322-22-20022-2-22-22-2000000-222-22-2-11-11−i3i3−i3i300-11-11−i3i3−i3i300-22000000i3−i3i3−i31-11-10000000000
χ332-2-22002-22-22-2-2200002-200-222-22-2-220000002-2-2200002-2000000002-2-2200000000000000
χ342-2-22002-22-22-2-2200002-200-222-2-111-1i3−i3−i3i300-111-1i3−i3−i3i32-200000000-111-1i3−i3−i3i30000000000
χ352-2-22002-22-22-2-2200002-200-222-2-111-1−i3i3i3−i300-111-1−i3i3i3−i32-200000000-111-1−i3i3i3−i30000000000
χ362-2-22002-22-22-2-220000-2200-222-22-2-220000002-2-220000-2200000000-222-200000000000000
χ372-2-22002-22-22-2-220000-2200-222-2-111-1i3−i3−i3i300-111-1i3−i3−i3i3-22000000001-1-11−i3i3i3−i30000000000
χ382-2-22002-22-22-2-220000-2200-222-2-111-1−i3i3i3−i300-111-1−i3i3i3−i3-22000000001-1-11i3−i3−i3i30000000000
χ393333333333-1-1-1-133-1-13333-1-1-1-100000000-1-100000000-1-1-1-111-1-1110000000011-1-1-1-111-1-1
χ403333333333-1-1-1-133-1-13333-1-1-1-100000000-1-100000000-1-1-1-1-1-111-1-100000000-1-11111-1-111
χ413333333333-1-1-1-133-1-1-3-3-3-3-1-1-1-100000000-1-100000000111111-1-1110000000011-1-1-1-1-1-111
χ423333333333-1-1-1-133-1-1-3-3-3-3-1-1-1-100000000-1-1000000001111-1-111-1-100000000-1-1111111-1-1
χ433333-3-33333-1-1-1-1-3-31133-3-3-1-1-1-1000000001100000000-1-1111-1-111100000000-1-1-1-1111-1-11
χ443333-3-33333-1-1-1-1-3-31133-3-3-1-1-1-1000000001100000000-1-111-111-1-1-1000000001111-1-1-111-1
χ453333-3-33333-1-1-1-1-3-311-3-333-1-1-1-100000000110000000011-1-11-1-111100000000-1-1-1-111-111-1
χ463333-3-33333-1-1-1-1-3-311-3-333-1-1-1-100000000110000000011-1-1-111-1-1-1000000001111-1-11-1-11
χ47444444-2-2-2-24444-2-2440000-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111110000000000000000000000000000
χ484444-4-4-2-2-2-2444422-4-40000-2-2-2-2-2-2-2-22222221111-1-1-1-10000000000000000000000000000
χ4944-4-44-4-222-244-4-4-224-4000022-2-2-2-222-2-222-2211-1-111-1-10000000000000000000000000000
χ5044-4-4-44-222-244-4-42-2-44000022-2-2-2-22222-2-22-211-1-1-1-1110000000000000000000000000000
χ514-44-400-2-2224-44-400000000-22-224-44-4000000-22-2200000000000000000000000000000000
χ524-44-400-2-2224-44-400000000-22-22-22-222i3−2i32i3−2i3001-11-1−i3i3−i3i30000000000000000000000000000
χ534-44-400-2-2224-44-400000000-22-22-22-22−2i32i3−2i32i3001-11-1i3−i3i3−i30000000000000000000000000000
χ544-4-4400-22-224-4-44000000002-2-224-4-44000000-222-200000000000000000000000000000000
χ554-4-4400-22-224-4-44000000002-2-22-222-22i3−2i3−2i32i3001-1-11−i3i3i3−i30000000000000000000000000000
χ564-4-4400-22-224-4-44000000002-2-22-222-2−2i32i32i3−2i3001-1-11i3−i3−i3i30000000000000000000000000000
χ57666666-3-3-3-3-2-2-2-2-3-3-2-200001111000000001100000000000022-2-2-1-100000000-1-111110000
χ58666666-3-3-3-3-2-2-2-2-3-3-2-2000011110000000011000000000000-2-222110000000011-1-1-1-10000
χ596666-6-6-3-3-3-3-2-2-2-233220000111100000000-1-10000000000002-2-22-1-1000000001111-1-10000
χ606666-6-6-3-3-3-3-2-2-2-233220000111100000000-1-1000000000000-222-21100000000-1-1-1-1110000
χ6166-6-66-66-6-66-2-2226-6-22000022-2-200000000-22000000000000000000000000000000000000
χ6266-6-66-6-333-3-2-222-33-220000-1-111000000001-10000000000000000i3−i300000000i3−i3−i3i3−i3i30000
χ6366-6-66-6-333-3-2-222-33-220000-1-111000000001-10000000000000000−i3i300000000−i3i3i3−i3i3−i30000
χ6466-6-6-666-6-66-2-222-662-2000022-2-2000000002-2000000000000000000000000000000000000
χ6566-6-6-66-333-3-2-2223-32-20000-1-11100000000-110000000000000000i3−i300000000−i3i3−i3i3i3−i30000
χ6666-6-6-66-333-3-2-2223-32-20000-1-11100000000-110000000000000000−i3i300000000i3−i3i3−i3−i3i30000
χ676-66-60066-6-6-22-220000006-6-22-2200000000000000000000-22000000000000000000000000
χ686-66-60066-6-6-22-22000000-66-22-22000000000000000000002-2000000000000000000000000
χ696-6-66006-66-6-222-200006-6002-2-22000000000000000000-2200000000000000000000000000
χ706-6-66006-66-6-222-20000-66002-2-220000000000000000002-200000000000000000000000000
χ7112-1212-1200-6-666-44-44000000002-22-20000000000000000000000000000000000000000000000
χ7212-12-121200-66-66-444-400000000-222-20000000000000000000000000000000000000000000000

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