Finite Group Databasebeta

← Group #11865825

Character table — Group #11865825

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111222244444444444448888888888999912121212121212121818181824242424242424242424242436363636363636363648484848
order122222443346666661212121266661212121212124444224444444444224466121212121212488888888661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1
χ5111111-1-111-1111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1111-11-11111-1-1-1-1-11111-1-1-1-11-11-1
χ6111111-1-111-1111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-111-11-111111-1-1-1-1-1-1-1-1-11111-11-11
χ7111111-1-111-1111111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1111-11-1-1-1-1-11111-1-1-1-1-111111-11-1
χ8111111-1-111-1111111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-111-11-11-1-1-1-11111-11111-1-1-1-1-11-11
χ91111-1-11111-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111111-1-111-1-111-1-1
χ101111-1-11111-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1111-1-111-1-111-1-111
χ111111-1-11111-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-11-1-111-1-11111-1-1
χ121111-1-11111-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1111-1-111-1-1-1-111
χ131111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111111-1-1111-1-111-1-1-111-1-1-1-1111-1-11
χ141111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-111-111-1-111-1-1-1-1-11111-1-1-111-1
χ151111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111111-1-11-1-111-1-111-1-1-11111-1-11-1-11
χ161111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-111-1-1-111-1-111-111-1-1-1-111-111-1
χ172222222222222222222222222222222-2-2-2-200000000-2-2-2-2000000000000-2000000000000
χ18222222-2-222-2222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-20000000022-2-20000000000002000000000000
χ192222-2-22222-22222222222-2-2-2-222-2-2-2-222220000000022-2-2000000000000-2000000000000
χ202222-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-22222222200000000-2-2-2-20000000000002000000000000
χ2122-2-2002-2220-22-2-22-222-2-200002-200002i2i−2i−2i000000002i−2i0000000000000002−2i2−i22−2i2−i20000
χ2222-2-2002-2220-22-2-22-222-2-200002-200002i2i−2i−2i000000002i−2i000000000000000−22−i2i2−22−i2i20000
χ2322-2-2002-2220-22-2-22-222-2-200002-20000−2i−2i2i2i00000000−2i2i0000000000000002−2−i2i22−2−i2i20000
χ2422-2-2002-2220-22-2-22-222-2-200002-20000−2i−2i2i2i00000000−2i2i000000000000000−22i2−i2−22i2−i20000
χ2522-2-200-22220-22-2-22-2-2-2220000-2200002i2i−2i−2i00000000−2i2i0000000000000002−2i2−i2−22−i2i20000
χ2622-2-200-22220-22-2-22-2-2-2220000-2200002i2i−2i−2i00000000−2i2i000000000000000−22−i2i22−2i2−i20000
χ2722-2-200-22220-22-2-22-2-2-2220000-220000−2i−2i2i2i000000002i−2i0000000000000002−2−i2i2−22i2−i20000
χ2822-2-200-22220-22-2-22-2-2-2220000-220000−2i−2i2i2i000000002i−2i000000000000000−22i2−i22−2−i2i20000
χ292-2-222-200220-2-22-2-2200002-22-20000002-22-2002i−2i2i−2i00002-2000000002i−2i2i−2i0000000000000
χ302-2-222-200220-2-22-2-2200002-22-20000002-22-200−2i2i−2i2i00002-200000000−2i2i−2i2i0000000000000
χ312-2-222-200220-2-22-2-2200002-22-2000000-22-222-200002-200-2200002-22-200000000000000000
χ322-2-222-200220-2-22-2-2200002-22-2000000-22-22-220000-2200-220000-22-2200000000000000000
χ332-2-22-2200220-2-22-2-220000-22-220000002-22-22-20000-2200-2200002-2-2200000000000000000
χ342-2-22-2200220-2-22-2-220000-22-220000002-22-2-2200002-200-220000-222-200000000000000000
χ352-2-22-2200220-2-22-2-220000-22-22000000-22-22002i−2i−2i2i00002-200000000−2i2i2i−2i0000000000000
χ362-2-22-2200220-2-22-2-220000-22-22000000-22-2200−2i2i2i−2i00002-2000000002i−2i−2i2i0000000000000
χ37444444441-24-2-2111-2111111-2-2-2-2-2-21100002222222200000000-1-1-1-1-1-1-1-10000000000000
χ38444444441-24-2-2111-2111111-2-2-2-2-2-2110000-2-2-2-2-2-2-2-200000000111111110000000000000
χ3944444444-21411-2-2-21-2-2-2-2-2-2111111-2-20000000000000000222200000000000000000-1-1-1-1
χ4044444444-21411-2-2-21-2-2-2-2-2-2111111-2-20000000000000000-2-2-2-2000000000000000001111
χ41444444-4-41-2-4-2-2111-2-1-1-1-111-2-22222-1-1000022-2-2-2-22200000000-1-1-1-111110000000000000
χ42444444-4-41-2-4-2-2111-2-1-1-1-111-2-22222-1-10000-2-22222-2-2000000001111-1-1-1-10000000000000
χ43444444-4-4-21-411-2-2-212222-2-211-1-1-1-12200000000000000002-22-200000000000000000-11-11
χ44444444-4-4-21-411-2-2-212222-2-211-1-1-1-1220000000000000000-22-22000000000000000001-11-1
χ454444-4-4441-2-4-2-2111-21111-1-122-2-222-1-100002222-2-2-2-200000000-1-11111-1-10000000000000
χ464444-4-4441-2-4-2-2111-21111-1-122-2-222-1-10000-2-2-2-222220000000011-1-1-1-1110000000000000
χ474444-4-444-21-411-2-2-21-2-2-2-222-1-111-1-122000000000000000022-2-200000000000000000-1-111
χ484444-4-444-21-411-2-2-21-2-2-2-222-1-111-1-1220000000000000000-2-2220000000000000000011-1-1
χ494444-4-4-4-41-24-2-2111-2-1-1-1-1-1-12222-2-211000022-2-222-2-200000000-1-111-1-1110000000000000
χ504444-4-4-4-41-24-2-2111-2-1-1-1-1-1-12222-2-2110000-2-222-2-2220000000011-1-111-1-10000000000000
χ514444-4-4-4-4-21411-2-2-21222222-1-1-1-111-2-200000000000000002-2-2200000000000000000-111-1
χ524444-4-4-4-4-21411-2-2-21222222-1-1-1-111-2-20000000000000000-222-2000000000000000001-1-11
χ534-44-400004404-4-44-4-4000000000000004i−4i−4i4i0000000000000000000000000000000000000
χ544-44-400004404-4-44-4-400000000000000−4i4i4i−4i0000000000000000000000000000000000000
χ554-4-444-4001-20221-1-1-23i−3i3i−3i1-1-2200003i−3i00002-22i−2i2i−2i2-200000000-11-11−ii−ii0000000000000
χ564-4-444-4001-20221-1-1-23i−3i3i−3i1-1-2200003i−3i0000-22−2i2i−2i2i-22000000001-11-1i−ii−i0000000000000
χ574-4-444-4001-20221-1-1-2−3i3i−3i3i1-1-220000−3i3i00002-2−2i2i−2i2i2-200000000-11-11i−ii−i0000000000000
χ584-4-444-4001-20221-1-1-2−3i3i−3i3i1-1-220000−3i3i0000-222i−2i2i−2i-22000000001-11-1−ii−ii0000000000000
χ594-4-44-44001-20221-1-1-23i−3i3i−3i-112-20000−3i3i00002-22i−2i−2i2i-2200000000-111-1i−i−ii0000000000000
χ604-4-44-44001-20221-1-1-23i−3i3i−3i-112-20000−3i3i0000-22−2i2i2i−2i2-2000000001-1-11−iii−i0000000000000
χ614-4-44-44001-20221-1-1-2−3i3i−3i3i-112-200003i−3i00002-2−2i2i2i−2i-2200000000-111-1−iii−i0000000000000
χ624-4-44-44001-20221-1-1-2−3i3i−3i3i-112-200003i−3i0000-222i−2i−2i2i2-2000000001-1-11i−i−ii0000000000000
χ6388-8-8008-82-404-4-2-22422-2-20000-44000000000000000000000000000000000000000000000
χ6488-8-8008-8-420-2244-4-2-4-44400002-2000000000000000000000000000000000000000000000
χ6588-8-800-882-404-4-2-224-2-22200004-4000000000000000000000000000000000000000000000
χ6688-8-800-88-420-2244-4-244-4-40000-22000000000000000000000000000000000000000000000
χ678-88-800002-40-44-22-246i−6i−6i6i000000000000000000000000000000000000000000000000000
χ688-88-800002-40-44-22-24−6i6i6i−6i000000000000000000000000000000000000000000000000000
χ698-88-80000-4202-24-44-200000000006i−6i0000000000000000000000000000000000000000000
χ708-88-80000-4202-24-44-20000000000−6i6i0000000000000000000000000000000000000000000
χ718-8-888-800-420-2-2-44420000-442-200000000000000000000000000000000000000000000000
χ728-8-88-8800-420-2-2-444200004-4-2200000000000000000000000000000000000000000000000

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