Finite Group Databasebeta

← Group #11922545

Character table — Group #11922545

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222223333446666666666888888881212161616161616161618181818242424242424242424242424242424242424242472727272
order12222236662222662222226666366666666636666666222244446666666612121212121212122444
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
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
χ51111-1-111111111-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-11-11-11111-1-1-1-111-1-111-1-11-11-1
χ61111-1-111111111-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1-11-111111-1-1-1-1-1-111-1-111-11-11
χ71111-1-111111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1111-11-1-1-1-1-1111111-1-111-1-1-11-11
χ81111-1-111111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-111-11-11-1-1-1-11111-1-111-1-1111-11-1
χ922222222222222222222222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000000000
χ10222222222222222222-2-2-2-22222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000000000
χ11222222-1-1-1-12222-1-1220000-1-1-1-122222222-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-10000
χ12222222-1-1-1-12222-1-1220000-1-1-1-122222222-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000000111111110000
χ132222-2-222222222-2-2-2-222-2-22222-1-1-1-11111-2-2-1-1-1-1111122-2-20000-1-1-1-11111000000000000
χ142222-2-222222222-2-2-2-2-2-2222222-1-1-1-11111-2-2-1-1-1-11111-2-22200001111-1-1-1-1000000000000
χ152222-2-2-1-1-1-1222211-2-20000-1-1-1-12222-2-2-2-211-1-1-1-1111100002-22-200000000-1-111-1-1110000
χ162222-2-2-1-1-1-1222211-2-20000-1-1-1-12222-2-2-2-211-1-1-1-111110000-22-220000000011-1-111-1-10000
χ1722-2-2002-22-22-22-20000002-22-22-222-2-200000022-2-20000002-20000000022-2-2000000000000
χ1822-2-2002-22-22-22-20000002-22-22-2-1-111−i3−i3i3i300-1-111−i3−i3i3i3002-20000−i3−i3i3i3-1-111000000000000
χ1922-2-2002-22-22-22-20000002-22-22-2-1-111i3i3−i3−i300-1-111i3i3−i3−i3002-20000i3i3−i3−i3-1-111000000000000
χ2022-2-2002-22-22-22-2000000-222-22-222-2-200000022-2-2000000-2200000000-2-222000000000000
χ2122-2-2002-22-22-22-2000000-222-22-2-1-111−i3−i3i3i300-1-111−i3−i3i3i300-220000i3i3−i3−i311-1-1000000000000
χ2222-2-2002-22-22-22-2000000-222-22-2-1-111i3i3−i3−i300-1-111i3i3−i3−i300-220000−i3−i3i3i311-1-1000000000000
χ232-22-2002-2-22-222-200002-2002-2-222-22-20000002-22-200002-20000002-22-20000000000000000
χ242-22-2002-2-22-222-200002-2002-2-22-11-11−i3i3−i3i300-11-11−i3i3−i3i32-2000000-11-11−i3i3−i3i3000000000000
χ252-22-2002-2-22-222-200002-2002-2-22-11-11i3−i3i3−i300-11-11i3−i3i3−i32-2000000-11-11i3−i3i3−i3000000000000
χ262-22-2002-2-22-222-20000-22002-2-222-22-20000002-22-20000-22000000-22-220000000000000000
χ272-22-2002-2-22-222-20000-22002-2-22-11-11−i3i3−i3i300-11-11−i3i3−i3i3-220000001-11-1i3−i3i3−i3000000000000
χ282-22-2002-2-22-222-20000-22002-2-22-11-11i3−i3i3−i300-11-11i3−i3i3−i3-220000001-11-1−i3i3−i3i3000000000000
χ292-2-222-222-2-2-2-2222-22-2000022-2-22-2-222-2-222-22-2-222-2-220000000000000000000000000000
χ302-2-222-222-2-2-2-2222-22-2000022-2-2-111-1-111-12-2-111-1-111-100000000−i3i3i3−i3−i3i3i3−i3000000000000
χ312-2-222-222-2-2-2-2222-22-2000022-2-2-111-1-111-12-2-111-1-111-100000000i3−i3−i3i3i3−i3−i3i3000000000000
χ322-2-222-2-1-111-2-222-112-20000-1-1112-2-222-2-22-11-111-1-111-100000000000000003−33−33−33−30000
χ332-2-222-2-1-111-2-222-112-20000-1-1112-2-222-2-22-11-111-1-111-10000000000000000−33−33−33−330000
χ342-2-22-2222-2-2-2-222-22-22000022-2-22-2-22-222-2-222-2-22-222-20000000000000000000000000000
χ352-2-22-2222-2-2-2-222-22-22000022-2-2-111-11-1-11-22-111-11-1-1100000000−i3i3i3−i3i3−i3−i3i3000000000000
χ362-2-22-2222-2-2-2-222-22-22000022-2-2-111-11-1-11-22-111-11-1-1100000000i3−i3−i3i3−i3i3i3−i3000000000000
χ372-2-22-22-1-111-2-2221-1-220000-1-1112-2-22-222-21-1-111-11-1-1100000000000000003−3−333−3−330000
χ382-2-22-22-1-111-2-2221-1-220000-1-1112-2-22-222-21-1-111-11-1-110000000000000000−333−3−333−30000
χ393333333333-1-1-1-133-1-13333-1-1-1-100000000-1-100000000-1-1-1-111-1-1000000001111-1-1-1-111-1-1
χ403333333333-1-1-1-133-1-13333-1-1-1-100000000-1-100000000-1-1-1-1-1-11100000000-1-1-1-11111-1-111
χ413333333333-1-1-1-133-1-1-3-3-3-3-1-1-1-100000000-1-100000000111111-1-1000000001111-1-1-1-1-1-111
χ423333333333-1-1-1-133-1-1-3-3-3-3-1-1-1-100000000-1-1000000001111-1-11100000000-1-1-1-1111111-1-1
χ433333-3-33333-1-1-1-1-3-31133-3-3-1-1-1-1000000001100000000-1-1111-1-110000000011-1-1-1-1111-1-11
χ443333-3-33333-1-1-1-1-3-31133-3-3-1-1-1-1000000001100000000-1-111-111-100000000-1-11111-1-1-111-1
χ453333-3-33333-1-1-1-1-3-311-3-333-1-1-1-100000000110000000011-1-11-1-110000000011-1-1-1-111-111-1
χ463333-3-33333-1-1-1-1-3-311-3-333-1-1-1-100000000110000000011-1-1-111-100000000-1-11111-1-11-1-11
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
χ4944-4-400-22-224-44-400000000-22-2244-4-4000000-2-22200000000000000000000000000000000
χ5044-4-400-22-224-44-400000000-22-22-2-222−2i3−2i32i32i30011-1-1i3i3−i3−i30000000000000000000000000000
χ5144-4-400-22-224-44-400000000-22-22-2-2222i32i3−2i3−2i30011-1-1−i3−i3i3i30000000000000000000000000000
χ524-44-400-222-2-444-400000000-222-24-44-4000000-22-2200000000000000000000000000000000
χ534-44-400-222-2-444-400000000-222-2-22-22−2i32i3−2i32i3001-11-1i3−i3i3−i30000000000000000000000000000
χ544-44-400-222-2-444-400000000-222-2-22-222i3−2i32i3−2i3001-11-1−i3i3−i3i30000000000000000000000000000
χ554-4-444-4-2-222-4-444-224-40000-2-222-222-2-222-2-221-1-111-1-110000000000000000000000000000
χ564-4-44-44-2-222-4-4442-2-440000-2-222-222-22-2-222-21-1-11-111-10000000000000000000000000000
χ57666666-3-3-3-3-2-2-2-2-3-3-2-200001111000000001100000000000022-2-200000000-1-1-1-111110000
χ58666666-3-3-3-3-2-2-2-2-3-3-2-2000011110000000011000000000000-2-222000000001111-1-1-1-10000
χ596666-6-6-3-3-3-3-2-2-2-233220000111100000000-1-10000000000002-2-2200000000-1-11111-1-10000
χ606666-6-6-3-3-3-3-2-2-2-233220000111100000000-1-1000000000000-222-20000000011-1-1-1-1110000
χ6166-6-6006-66-6-22-220000006-6-22-2200000000000000000000-22000000000000000000000000
χ6266-6-6006-66-6-22-22000000-66-22-22000000000000000000002-2000000000000000000000000
χ636-66-6006-6-662-2-2200006-600-222-2000000000000000000-2200000000000000000000000000
χ646-66-6006-6-662-2-220000-6600-222-20000000000000000002-200000000000000000000000000
χ656-6-666-666-6-622-2-26-6-220000-2-22200000000-22000000000000000000000000000000000000
χ666-6-666-6-3-33322-2-2-33-22000011-1-1000000001-10000000000000000000000003−33−3−33−330000
χ676-6-666-6-3-33322-2-2-33-22000011-1-1000000001-1000000000000000000000000−33−333−33−30000
χ686-6-66-6666-6-622-2-2-662-20000-2-222000000002-2000000000000000000000000000000000000
χ696-6-66-66-3-33322-2-23-32-2000011-1-100000000-110000000000000000000000003−3−33−333−30000
χ706-6-66-66-3-33322-2-23-32-2000011-1-100000000-11000000000000000000000000−333−33−3−330000
χ711212-12-1200-66-66-44-44000000002-22-20000000000000000000000000000000000000000000000
χ7212-1212-1200-666-64-4-44000000002-2-220000000000000000000000000000000000000000000000

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