Finite Group Databasebeta

← Group #11864098

Character table — Group #11864098

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size111122224444444444444444488888888121212121212121218181818181824242424242424242424242424242424242424243672727272
order1222444423366666612121212121212126666121212122222444422444424446666661212121212121212121228888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-11-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111-1-11111111-1-1-1-111-1-1-1-1-111-1-1
χ6111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-111-1-1-111111111-1-1-1-1-1-1-1-1-111
χ7111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1111-1-1111-1-1-1-1-1-1-1-1111111-1-1-111
χ8111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-111-1-1-1-1-1-1-11111-1-11111-111-1-1
χ91111-1-111-111111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-1-111-11-1
χ101111-1-111-111111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-1-111-1-111-1-111-1-1-1-1111111-1-11-11-11
χ111111-1-111-111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1111-11-11
χ121111-1-111-111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-111-1-11111-1-11111-11-1
χ131111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-111111-11-11111-1-1-1-111-1-1-1-111-11-1-11
χ141111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-11-11-1-111-1-111-1-111-1-111-1-111-1
χ151111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111-11-111-1-111-1-111-1-111-1-1-1-111-1
χ161111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-11-11-1-1-1-11111-1-11111-1-1-11-1-11
χ1722222222222222222222222222222222200000000-2-2-2-2-2-200000000000000000000-20000
χ18222222-2-2-2222222222222-2-2-2-2-2-2-2-2-2-22200000000-2-222-2-20000000000000000000020000
χ192222-2-222-222222222-2-2-2-22222-2-2-2-222-2-2000000002222-2-200000000000000000000-20000
χ202222-2-2-2-2222222222-2-2-2-2-2-2-2-22222-2-2-2-20000000022-2-2-2-20000000000000000000020000
χ212-2-222-200022-2-2-2-22222-2-200000000002-200002-22-22-2002-200000000000000002-22-200000
χ222-2-222-200022-2-2-2-22222-2-200000000002-20000-22-222-2002-20000000000000000-22-2200000
χ232-2-222-200022-2-2-2-22222-2-200000000002-22-22-20000-2200-220000002-22-2000000000000000
χ242-2-222-200022-2-2-2-22222-2-200000000002-2-22-220000-2200-22000000-22-22000000000000000
χ252-2-22-2200022-2-2-2-222-2-2220000000000-2200002-2-22-22002-200000000000000002-2-2200000
χ262-2-22-2200022-2-2-2-222-2-2220000000000-220000-222-2-22002-20000000000000000-222-200000
χ272-2-22-2200022-2-2-2-222-2-2220000000000-222-2-2200002-200-220000002-2-22000000000000000
χ282-2-22-2200022-2-2-2-222-2-2220000000000-22-222-200002-200-22000000-222-2000000000000000
χ294444444441-2-2-2111-21111-2-2-2-211-2-211-2-2000000000000002222-1-10000-1-1-1-1-1-1000000000
χ304444444441-2-2-2111-21111-2-2-2-211-2-211-2-200000000000000-2-2-2-2110000111111000000000
χ31444444444-2111-2-2-21-2-2-2-21111-2-211-2-21122222222000000000000-1-1-1-1000000-1-1-1-100000
χ32444444444-2111-2-2-21-2-2-2-21111-2-211-2-211-2-2-2-2-2-2-2-20000000000001111000000111100000
χ33444444-4-4-41-2-2-2111-211112222-1-122-1-1-2-2000000000000002-2-22-1-100001111-1-1000000000
χ34444444-4-4-41-2-2-2111-211112222-1-122-1-1-2-200000000000000-222-2110000-1-1-1-111000000000
χ35444444-4-4-4-2111-2-2-21-2-2-2-2-1-1-1-122-1-122112222-2-2-2-2000000000000-1-1-1-1000000111100000
χ36444444-4-4-4-2111-2-2-21-2-2-2-2-1-1-1-122-1-12211-2-2-2-222220000000000001111000000-1-1-1-100000
χ374444-4-444-41-2-2-2111-2-1-1-1-1-2-2-2-2-1-12211220000000000000022-2-2-1-10000-1-11111000000000
χ384444-4-444-41-2-2-2111-2-1-1-1-1-2-2-2-2-1-122112200000000000000-2-22211000011-1-1-1-1000000000
χ394444-4-444-4-2111-2-2-212222111122-1-1-2-2-1-122-2-222-2-2000000000000-1-111000000-1-11100000
χ404444-4-444-4-2111-2-2-212222111122-1-1-2-2-1-1-2-222-2-22200000000000011-1-100000011-1-100000
χ414444-4-4-4-441-2-2-2111-2-1-1-1-1222211-2-2-1-122000000000000002-22-2-1-1000011-1-111000000000
χ424444-4-4-4-441-2-2-2111-2-1-1-1-1222211-2-2-1-12200000000000000-22-22110000-1-111-1-1000000000
χ434444-4-4-4-44-2111-2-2-212222-1-1-1-1-2-21122-1-122-2-2-2-222000000000000-1-11100000011-1-100000
χ444444-4-4-4-44-2111-2-2-212222-1-1-1-1-2-21122-1-1-2-22222-2-200000000000011-1-1000000-1-11100000
χ4544-4-400000444-44-4-4-4000000000000000000000000004i−4i000000000000000000000000000
χ4644-4-400000444-44-4-4-400000000000000000000000000−4i4i000000000000000000000000000
χ474-44-4004i−4i01-22-2-11-123i−3i3i−3i2i2i−2i−2i3-300i−i00000000000000000000−i3i300003−3−i3i33−3000000000
χ484-44-4004i−4i01-22-2-11-123i−3i3i−3i2i2i−2i−2i3-300i−i00000000000000000000i3−i30000−33i3−i3−33000000000
χ494-44-4004i−4i01-22-2-11-12−3i3i−3i3i2i2i−2i−2i-3300i−i00000000000000000000−i3i300003−3i3−i3−33000000000
χ504-44-4004i−4i01-22-2-11-12−3i3i−3i3i2i2i−2i−2i-3300i−i00000000000000000000i3−i30000−33−i3i33−3000000000
χ514-44-4004i−4i044-44-44-4-40000−4i−4i4i4i00004i−4i00000000000000000000000000000000000000000
χ524-44-400−4i4i01-22-2-11-123i−3i3i−3i−2i−2i2i2i-3300−ii00000000000000000000−i3i30000−33i3−i33−3000000000
χ534-44-400−4i4i01-22-2-11-123i−3i3i−3i−2i−2i2i2i-3300−ii00000000000000000000i3−i300003−3−i3i3−33000000000
χ544-44-400−4i4i01-22-2-11-12−3i3i−3i3i−2i−2i2i2i3-300−ii00000000000000000000−i3i30000−33−i3i3−33000000000
χ554-44-400−4i4i01-22-2-11-12−3i3i−3i3i−2i−2i2i2i3-300−ii00000000000000000000i3−i300003−3i3−i33−3000000000
χ564-44-400−4i4i044-44-44-4-400004i4i−4i−4i0000−4i4i00000000000000000000000000000000000000000
χ574-4-444-4000-21-1-122-21-2-2223-33-3003-3001-12-22-22-22-2000000000000-11-11000000-11-1100000
χ584-4-444-4000-21-1-122-21-2-2223-33-3003-3001-1-22-22-22-220000000000001-11-10000001-11-100000
χ594-4-444-4000-21-1-122-21-2-222-33-3300-33001-12-22-2-22-22000000000000-11-110000001-11-100000
χ604-4-444-4000-21-1-122-21-2-222-33-3300-33001-1-22-222-22-20000000000001-11-1000000-11-1100000
χ614-4-44-44000-21-1-122-2122-2-23-33-300-3300-112-2-222-2-22000000000000-111-1000000-111-100000
χ624-4-44-44000-21-1-122-2122-2-23-33-300-3300-11-222-2-222-20000000000001-1-110000001-1-1100000
χ634-4-44-44000-21-1-122-2122-2-2-33-33003-300-112-2-22-222-2000000000000-111-10000001-1-1100000
χ644-4-44-44000-21-1-122-2122-2-2-33-33003-300-11-222-22-2-220000000000001-1-11000000-111-100000
χ6588-8-8000002-4-442-2-246i−6i−6i6i000000000000000000000000000000000000000000000000000
χ6688-8-8000002-4-442-2-24−6i6i6i−6i000000000000000000000000000000000000000000000000000
χ6788-8-800000-422-2-444-200006i−6i−6i6i00000000000000000000000000000000000000000000000
χ6888-8-800000-422-2-444-20000−6i6i6i−6i00000000000000000000000000000000000000000000000
χ698-88-8008i−8i0-42-224-44-20000−2i−2i2i2i0000−4i4i00000000000000000000000000000000000000000
χ708-88-800−8i8i0-42-224-44-200002i2i−2i−2i00004i−4i00000000000000000000000000000000000000000
χ718-8-888-80002-444-2-22-422-2-20000000000-44000000000000000000000000000000000000000
χ728-8-88-880002-444-2-22-4-2-22200000000004-4000000000000000000000000000000000000000

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