Finite Group Databasebeta

← Group #11886823

Character table — Group #11886823

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11222222222444444444444444888888888888881212121212121212121212121616161616161818242424242424242424242424242436363648487272
order122334466883666668121212122424242422666612122424242424242222444466121266666688666888812121224242424448242444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1111-11111111111-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-11-1-1-11-1-1-1-1111111-1-11-1-1-11111-1-1-1-111-1-1-111-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111
χ511111111111111111111111111-1-1-1-1-1-11111111111-1111-11-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-1111-1-111-1-1-1-1-111
χ611111111111111111111111111-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-111-1-1-1-111111-1-1
χ711111111111111111111111111-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1-1-1111-1-111-1-11-1-11111111-1-1-1-1
χ811111111111111111111111111-1-1-1-1-1-111111111-1-11-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-11-111-1-1-111-1-1-1-1-11111
χ9111111111-1-1111111-11111-1-1-1-11-111-1-111-1-1-1-1-1-11-1111-11111111-111-1-11111-1-1-11-111-1-1-1-1-1-1-111-11-1
χ10111111111-1-1111111-11111-1-1-1-11-111-1-111-1-1-1-1-1-11-11-11-11-111111-111-1-1-1-1-11-1-11-11-11-1-1-11111-1-11-11
χ11111111111-1-1111111-11111-1-1-1-11-111-1-111-1-1-1-1-1-1-11-11-11-11-1-1-1-11-111-1-1-1-11-111-11-11-1111-1-111-11-1-11
χ12111111111-1-1111111-11111-1-1-1-11-111-1-111-1-1-1-1-1-1-11-1-1-11-1-1-1-1-1-11-111-1-111-1-1111-11-1-111111-1-11-111-1
χ13111111111-1-1111111-11111-1-1-1-1-11-1-11111-1-1-1-1-1-11-1-111-1-11-1-1-1-1-11-1-111-1-111-11-1-1111-111-1-111-1-111-1
χ14111111111-1-1111111-11111-1-1-1-1-11-1-11111-1-1-1-1-1-11-1-1-11-1-1-1-1-1-1-1-11-1-11111-11-1111-1-11-11111-1-111-1-11
χ15111111111-1-1111111-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1111-11111111-11-1-111111-11-1-1-111-11-1-1-1-1-1-11-11-11
χ16111111111-1-1111111-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-111-1-111-11111-11-1-111-1-1-1-11-111-1-1-11-1-11111-11-11-1
χ172222-1222-122-12-1-1-1-12-12-1222-1-122-1-1-1-1-1-12-1-1-1-1-122202220-1-1-1-122-1-1-1-1000-1-120000-1-1-1-1000000000
χ182222-1222-122-12-1-1-1-12-12-1222-1-122-1-1-1-1-1-12-1-1-1-1-1-2-2-20-2-2-20111122-1-1-1-100011-200001111000000000
χ192222-1222-122-12-1-1-1-12-12-1222-1-1-2-21111-1-12-1-1-1-1-122-2022-201111-2-21111000-1-1-20000-1-111000000000
χ202222-1222-122-12-1-1-1-12-12-1222-1-1-2-21111-1-12-1-1-1-1-1-2-220-2-220-1-1-1-1-2-21111000112000011-1-1000000000
χ212222-1222-1-2-2-12-1-1-1-1-2-12-12-2-2112-2-1-111-1-1-2111112-2202-220-1-1-1-12-2-1-111000-11-20000-1111000000000
χ222222-1222-1-2-2-12-1-1-1-1-2-12-12-2-2112-2-1-111-1-1-211111-22-20-22-2011112-2-1-1110001-1200001-1-1-1000000000
χ232222-1222-1-2-2-12-1-1-1-1-2-12-12-2-211-2211-1-1-1-1-2111112-2-202-2-201111-2211-1-1000-1120000-11-1-1000000000
χ242222-1222-1-2-2-12-1-1-1-1-2-12-12-2-211-2211-1-1-1-1-211111-2220-2220-1-1-1-1-2211-1-10001-1-200001-111000000000
χ25222-1222-1222-1-12-1-1-122-12-1-1-122222222-1-1-12-1-1-1-1000200020000-1-1-1-1-1-100-1000222-10000-1-1000-1-100
χ26222-1222-1222-1-12-1-1-122-12-1-1-122222222-1-1-12-1-1-1-1000-2000-20000-1-1-1-1-1-1001000-2-2-210000110001100
χ27222-1222-1222-1-12-1-1-122-12-1-1-122-2-2-2-2-2-2-1-1-12-1-1-1-100020002000011111100-10002-2-2-10000-1-10001100
χ28222-1222-1222-1-12-1-1-122-12-1-1-122-2-2-2-2-2-2-1-1-12-1-1-1-1000-2000-20000111111001000-2221000011000-1-100
χ29222-1222-12-2-2-1-12-1-1-1-22-12-111-2-22-222-2-2-1-11-21111000200020000-11-1-11100-1000-22-2-1000011000-1100
χ30222-1222-12-2-2-1-12-1-1-1-22-12-111-2-22-222-2-2-1-11-21111000-2000-20000-11-1-1110010002-2210000-1-10001-100
χ31222-1222-12-2-2-1-12-1-1-1-22-12-111-2-2-22-2-222-1-11-211110002000200001-111-1-100-1000-2-22-10000110001-100
χ32222-1222-12-2-2-1-12-1-1-1-22-12-111-2-2-22-2-222-1-11-21111000-2000-200001-111-1-100100022-210000-1-1000-1100
χ3322-2222-222222-2-2-2-22-2-222-22222000000-22-2-222-2-22200-2-20000000000000002200000-2-200000000000
χ3422-2222-222222-2-2-2-22-2-222-22222000000-22-2-222-2-2-2-20022000000000000000-2-2000002200000000000
χ3522-2222-222-2-22-2-2-2-222-222-2-2-2-2-2000000-2222-2-2222-200-220000000000000002-200000-2200000000000
χ3622-2222-222-2-22-2-2-2-222-222-2-2-2-2-2000000-2222-2-222-22002-2000000000000000-22000002-200000000000
χ3722-222-2222002-2-2-2-2202-2-2200000000002-2000000002200-2-222-2-2000000-2-22000000-20000000020000
χ3822-222-2222002-2-2-2-2202-2-2200000000002-2000000002-200-2222-2-200000022-2000000200000000-20000
χ3922-222-2222002-2-2-2-2202-2-2200000000002-200000000-22002-2-2-222000000222000000-200000000-20000
χ4022-222-2222002-2-2-2-2202-2-2200000000002-200000000-2-20022-2-222000000-2-2-200000020000000020000
χ4122-22-12-22-122-1-2111-1-212-1-222-1-100−i3i3−i3i31-1-21-1-1112200-2-200−i3i3−i3i300−i3i3−i3i3000-1-10000011−i3i3000000000
χ4222-22-12-22-122-1-2111-1-212-1-222-1-100−i3i3−i3i31-1-21-1-111-2-2002200i3−i3i3−i300−i3i3−i3i30001100000-1-1i3−i3000000000
χ4322-22-12-22-122-1-2111-1-212-1-222-1-100i3−i3i3−i31-1-21-1-1112200-2-200i3−i3i3−i300i3−i3i3−i3000-1-10000011i3−i3000000000
χ4422-22-12-22-122-1-2111-1-212-1-222-1-100i3−i3i3−i31-1-21-1-111-2-2002200−i3i3−i3i300i3−i3i3−i30001100000-1-1−i3i3000000000
χ4522-22-12-22-1-2-2-1-2111-1212-1-2-2-21100−i3i3i3−i31-12-111-1-12-200-2200−i3i3−i3i300−i3i3i3−i3000-11000001-1i3−i3000000000
χ4622-22-12-22-1-2-2-1-2111-1212-1-2-2-21100−i3i3i3−i31-12-111-1-1-22002-200i3−i3i3−i300−i3i3i3−i30001-100000-11−i3i3000000000
χ4722-22-12-22-1-2-2-1-2111-1212-1-2-2-21100i3−i3−i3i31-12-111-1-12-200-2200i3−i3i3−i300i3−i3−i3i3000-11000001-1−i3i3000000000
χ4822-22-12-22-1-2-2-1-2111-1212-1-2-2-21100i3−i3−i3i31-12-111-1-1-22002-200−i3i3−i3i300i3−i3−i3i30001-100000-11i3−i3000000000
χ4944444-4-444004444440-4-4-4-40000000000-4-400000000000000000000000000000000000000000000000
χ504444-2-4-44-200-24-2-2-2-202-42-400000000002200000000000000−2i32i32i3−2i300000000000000000000000000000
χ514444-2-4-44-200-24-2-2-2-202-42-4000000000022000000000000002i3−2i3−2i32i300000000000000000000000000000
χ52444-24-4-4-2400-2-24-2-2-20-42-420000000000220000000000000000000000000000000000000023−230000000
χ53444-24-4-4-2400-2-24-2-2-20-42-4200000000002200000000000000000000000000000000000000−23230000000
χ54444-2-244-2-2441-2-21114-2-2-2-2-2-2-2-244-2-2-2-211-2-21111000000000000-2-2111100000000000000000000000
χ55444-2-244-2-2441-2-21114-2-2-2-2-2-2-2-2-4-4222211-2-2111100000000000022-1-1-1-100000000000000000000000
χ56444-2-244-2-2-4-41-2-2111-4-2-2-2-222224-4-2-2221122-1-1-1-1000000000000-2211-1-100000000000000000000000
χ57444-2-244-2-2-4-41-2-2111-4-2-2-2-22222-4422-2-21122-1-1-1-10000000000002-2-1-11100000000000000000000000
χ5844-44-2-444-200-2-4222-20-2-4240000000000-22000000004000-40-2-22200000000000000000000000000000
χ5944-44-2-444-200-2-4222-20-2-4240000000000-2200000000-40004022-2-200000000000000000000000000000
χ6044-4-244-4-2444-22-422-2-4-4-242-2-2440000002-22-4-2-22200000000000000000000000000000000000000000
χ6144-4-244-4-24-4-4-22-422-24-4-24222-4-40000002-2-2422-2-200000000000000000000000000000000000000000
χ6244-4-24-44-2400-22-422-2042-4-20000000000-220000000004000-4000000000000-200000020000000000000
χ6344-4-24-44-2400-22-422-2042-4-20000000000-22000000000-400040000000000002000000-20000000000000
χ6444-4-2-24-4-2-244122-1-11-42-2-22-2-2-2-200−2i32i3−2i32i3-112211-1-100000000000000i3−i3i3−i300000000000000000000000
χ6544-4-2-24-4-2-244122-1-11-42-2-22-2-2-2-2002i3−2i32i3−2i3-112211-1-100000000000000−i3i3−i3i300000000000000000000000
χ6644-4-2-24-4-2-2-4-4122-1-1142-2-22222200−2i32i32i3−2i3-11-2-2-1-11100000000000000i3−i3−i3i300000000000000000000000
χ6744-4-2-24-4-2-2-4-4122-1-1142-2-222222002i3−2i3−2i32i3-11-2-2-1-11100000000000000−i3i3i3−i300000000000000000000000
χ684-404400-4-422−2240000-40000022−2222−22000000000022−2200000000000000000000−2i22i2000000000000002i−2i00000
χ694-404400-4-422−2240000-40000022−2222−22000000000022−22000000000000000000002i2−2i200000000000000−2i2i00000
χ704-404400-4-4−222240000-400000−2222−22220000000000−222200000000000000000000−2i22i200000000000000−2i2i00000
χ714-404400-4-4−222240000-400000−2222−22220000000000−2222000000000000000000002i2−2i2000000000000002i−2i00000
χ72888-4-4-8-8-4-4002-4-4222044440000000000-2-200000000000000000000000000000000000000000000000
χ7388-8-4-4-88-4-400244-2-220-444-400000000002-200000000000000000000000000000000000000000000000
χ748-808-400-8442−42-4000040000042−42−22220000000000−22220000000000000000000000000000000000000000000
χ758-808-400-84−4242-40000400000−424222−22000000000022−220000000000000000000000000000000000000000000
χ768-80-48004-842−42-40000400000−222242−420000000000−22220000000000000000000000000000000000000000000
χ778-80-48004-8−4242-4000040000022−22−4242000000000022−220000000000000000000000000000000000000000000
χ788-80-4-4004442−422006-6-200000−2222−222200000000002−232−3200000000000000000000000000000000000000000
χ798-80-4-4004442−42200-66-200000−2222−222200000000002−2−323200000000000000000000000000000000000000000
χ808-80-4-40044−42422006-6-20000022−2222−220000000000−22−323200000000000000000000000000000000000000000
χ818-80-4-40044−4242200-66-20000022−2222−220000000000−2232−3200000000000000000000000000000000000000000

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