Finite Group Databasebeta

← Group #11876957

Character table — Group #11876957

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222444444444444488888888881818181818182424242424242424242424242424242436363636363636363648484848
order12224444334666666121212121212121212121212121244444422444444661212121212122888888886121212
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1111-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-11-1-1-1111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1
χ5111111-1-111-1111111111111-1-1-1-1-1-1-1-111-1-111111-1-11-1-11111-1-1-1-1-11111-1-1-1-111-1-1
χ6111111-1-111-1111111111111-1-1-1-1-1-1-1-111-1-1111-11-1-1-1111111-1-1-1-1-1-1-1-1-11111-1-111
χ7111111-1-111-1111111111111-1-1-1-1-1-1-1-111-1-111-11-1111-1-1-1-1-1-11111-1-1-1-1-1111111-1-1
χ8111111-1-111-1111111111111-1-1-1-1-1-1-1-111-1-111-1-1-111-111-1-1-1-11111-11111-1-1-1-1-1-111
χ91111-1-11111-1111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-11-1-11-111-1-111-1-1-111-1-111-1-11-11-1
χ101111-1-11111-1111111-1-1-1-1-1-11111-1-1-1-1-1-111111-1-11-11-1111-1-111-1-1-1-1-111-1-111-11-11
χ111111-1-11111-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111-111-11-11-1-1-111-1-111-1-1-111-1-1111-11-1
χ121111-1-11111-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11-111-11-1-111-1-111-111-1-111-1-1-11-11
χ131111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11-1-1111-1-1-1-111111-1-1-1-1111-1-11
χ141111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1111-111-1-1-1-1111-1-11111-1-1-111-1
χ151111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1111-1-1-11-1-11111-1-11-1-11111-1-11-1-11
χ161111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-111-1-1-11111-1-1111-1-1-1-111-111-1
χ172222222222222222222222222222222-2-2-2-2-2-20000000000000000-2000000000000
χ18222222-2-222-2222222222222-2-2-2-2-2-2-2-2-2-222-2-200000000000000002000000000000
χ192222-2-22222-2222222-2-2-2-2-2-22222-2-2-2-222-2-2-2-200000000000000002000000000000
χ202222-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-222222222-2-20000000000000000-2000000000000
χ2122-2-22i−2i0022022-2-2-2-22i2i−2i−2i2i−2i000000002i−2i002-20000000000000000000002-22i−2i0000
χ2222-2-22i−2i0022022-2-2-2-22i2i−2i−2i2i−2i000000002i−2i002-2000000000000000000000-22−2i2i0000
χ2322-2-22i−2i0022022-2-2-2-22i2i−2i−2i2i−2i00000000−2i2i00-22000000000000000002-22i−2i00000000
χ2422-2-22i−2i0022022-2-2-2-22i2i−2i−2i2i−2i00000000−2i2i00-2200000000000000000-22−2i2i00000000
χ2522-2-2−2i2i0022022-2-2-2-2−2i−2i2i2i−2i2i000000002i−2i00-22000000000000000002-2−2i2i00000000
χ2622-2-2−2i2i0022022-2-2-2-2−2i−2i2i2i−2i2i000000002i−2i00-2200000000000000000-222i−2i00000000
χ2722-2-2−2i2i0022022-2-2-2-2−2i−2i2i2i−2i2i00000000−2i2i002-20000000000000000000002-2−2i2i0000
χ2822-2-2−2i2i0022022-2-2-2-2−2i−2i2i2i−2i2i00000000−2i2i002-2000000000000000000000-222i−2i0000
χ29444444441-241-211-2-21111-2-211-2-211-2-200000020222000-1-1-1-1-1-1-1-10000000000000
χ30444444441-241-211-2-21111-2-211-2-211-2-2000000-20-2-2-2000111111110000000000000
χ3144444444-214-21-2-211-2-2-2-211-2-211-2-2110000000200022200000000000000000-1-1-1-1
χ3244444444-214-21-2-211-2-2-2-211-2-211-2-2110000000-2000-2-2-2000000000000000001111
χ33444444-4-41-2-41-211-2-21111-2-2-1-122-1-122000000202-2-2000-1-1-1-111110000000000000
χ34444444-4-41-2-41-211-2-21111-2-2-1-122-1-122000000-20-2220001111-1-1-1-10000000000000
χ35444444-4-4-21-4-21-2-211-2-2-2-21122-1-122-1-1000000020002-2-200000000000000000-1-111
χ36444444-4-4-21-4-21-2-211-2-2-2-21122-1-122-1-10000000-2000-2220000000000000000011-1-1
χ374444-4-4441-2-41-211-2-2-1-1-1-12211-2-2-1-12200000020-22-2000-1-111-1-1110000000000000
χ384444-4-4441-2-41-211-2-2-1-1-1-12211-2-2-1-122000000-202-2200011-1-111-1-10000000000000
χ394444-4-444-21-4-21-2-2112222-1-1-2-21122-1-100000002000-22-200000000000000000-11-11
χ404444-4-444-21-4-21-2-2112222-1-1-2-21122-1-10000000-20002-22000000000000000001-11-1
χ414444-4-4-4-41-241-211-2-2-1-1-1-122-1-12211-2-200000020-2-22000-1-11111-1-10000000000000
χ424444-4-4-4-41-241-211-2-2-1-1-1-122-1-12211-2-2000000-2022-200011-1-1-1-1110000000000000
χ434444-4-4-4-4-214-21-2-2112222-1-122-1-1-2-21100000002000-2-2200000000000000000-111-1
χ444444-4-4-4-4-214-21-2-2112222-1-122-1-1-2-2110000000-200022-2000000000000000001-1-11
χ454-44-4004i−4i1-20-121-12-23-33-300i−i2i−2i3i−3i0000000000000000−i3i3−i3i33−33−30000000000000
χ464-44-4004i−4i1-20-121-12-23-33-300i−i2i−2i3i−3i0000000000000000i3−i3i3−i3−33−330000000000000
χ474-44-4004i−4i1-20-121-12-2-33-3300i−i2i−2i−3i3i0000000000000000−i3i3i3−i33−3−330000000000000
χ484-44-4004i−4i1-20-121-12-2-33-3300i−i2i−2i−3i3i0000000000000000i3−i3−i3i3−333−30000000000000
χ494-44-4004i−4i440-4-44-4-440000004i−4i−4i4i000000000000000000000000000000000000000
χ504-44-400−4i4i1-20-121-12-23-33-300−ii−2i2i−3i3i0000000000000000−i3i3−i3i3−33−330000000000000
χ514-44-400−4i4i1-20-121-12-23-33-300−ii−2i2i−3i3i0000000000000000i3−i3i3−i33−33−30000000000000
χ524-44-400−4i4i1-20-121-12-2-33-3300−ii−2i2i3i−3i0000000000000000−i3i3i3−i3−333−30000000000000
χ534-44-400−4i4i1-20-121-12-2-33-3300−ii−2i2i3i−3i0000000000000000i3−i3−i3i33−3−330000000000000
χ544-44-400−4i4i440-4-44-4-44000000−4i4i4i−4i000000000000000000000000000000000000000
χ554-4-440000440-4-4-444-400000000000000004i−4i0000000000000000000000000000000
χ564-4-440000440-4-4-444-40000000000000000−4i4i0000000000000000000000000000000
χ5788-8-88i−8i002-402-4-2-2442i2i−2i−2i−4i4i0000000000000000000000000000000000000000000
χ5888-8-88i−8i00-420-4244-2-2−4i−4i4i4i2i−2i0000000000000000000000000000000000000000000
χ5988-8-8−8i8i002-402-4-2-244−2i−2i2i2i4i−4i0000000000000000000000000000000000000000000
χ6088-8-8−8i8i00-420-4244-2-24i4i−4i−4i−2i2i0000000000000000000000000000000000000000000
χ618-88-8008i−8i-4204-2-44-22000000−4i4i−2i2i000000000000000000000000000000000000000
χ628-88-800−8i8i-4204-2-44-220000004i−4i2i−2i000000000000000000000000000000000000000
χ638-8-8800002-40-24-22-446i−6i−6i6i000000000000000000000000000000000000000000000
χ648-8-8800002-40-24-22-44−6i6i6i−6i000000000000000000000000000000000000000000000
χ658-8-880000-4204-24-42-20000000000006i−6i00000000000000000000000000000000000
χ668-8-880000-4204-24-42-2000000000000−6i6i00000000000000000000000000000000000

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