Finite Group Databasebeta

← Group #10595209

Character table — Group #10595209

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11112222222244444444444666688888888881212121212121212121212121212181824242424363636
order1222336666662234666666644446666661212121244444412121212121212122212121212444
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-111111111111-11-11-11111-1-1-1-1-1-111-1-1-1-1-1
χ311111111111111111111111-1-1111111111111-11-11-11-1-1-1-11111-1-1-1-111-1-1-1
χ411111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111
χ51111111111111-11-111-1-111111111-111-1-1-1-1-1-11-1-11-1-111-1-11111111-1-1-1-11-1
χ61111111111111-11-111-1-111111-1-11-111-1-1-1-1-1-111-1-1-1111-1-1-1-1-1-1-1-11-1111-11
χ71111111111111-11-111-1-1111-1-1111-111-1-1-1-1-1-1-1-1111-1-1-1111111-1-1-11-1-11-11
χ81111111111111-11-111-1-1111-1-1-1-11-111-1-1-1-1-1-1-111-111-1-111-1-1-1-111-1111-11-1
χ9111111111111-111-1-1-1111111111-11-1-111-1-1-1-1-111-1-1-1111111-1-111-1-11-1-1-11
χ10111111111111-111-1-1-11111111-1-1-11-1-111-1-1-1-1-1-111-111111-1-111-1-1-1-1-1111-1
χ11111111111111-111-1-1-111111-1-111-11-1-111-1-1-1-111-1-11-1-1-1-1-111-1-1-1-1111-111-1
χ12111111111111-111-1-1-111111-1-1-1-1-11-1-111-1-1-1-11-1-1111-1-1-1-1-1-1111111-11-1-11
χ13111111111111-1-111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-11-111-1-1
χ14111111111111-1-111-1-1-1-111111-1-1-1-1-1-1-1-11111-11-111-111-1-1-1-111-1-1-111-1-111
χ15111111111111-1-111-1-1-1-1111-1-111-1-1-1-1-1-111111-11-1-11-1-11111-1-1-1-11-1-11-111
χ16111111111111-1-111-1-1-1-1111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111111-11-11-1-1
χ1722222-122-1-12-122-1222-1-1-1-1-12200-12-1-1-1-12-1-1-1202020-1-1-1-1000000-1-100000
χ1822222-122-1-12-122-1222-1-1-1-1-1-2-200-12-1-1-1-12-1-1-1-20-20-2011110000001100000
χ1922222-122-1-12-12-2-1-22211-1-1-12200-1-2-1-111-211120-20-20-1-111000000-1100000
χ2022222-122-1-12-12-2-1-22211-1-1-1-2-200-1-2-1-111-2111-20202011-1-10000001-100000
χ2122222-122-1-12-1-22-1-2-2-2-1-1-1-1-122001211-1-1-2111-2020-20-1-1-1-10000001100000
χ2222222-122-1-12-1-22-1-2-2-2-1-1-1-1-1-2-2001211-1-1-211120-20201111000000-1-100000
χ2322222-122-1-12-1-2-2-12-2-211-1-1-122001-211112-1-1-1-20-2020-1-1110000001-100000
χ2422222-122-1-12-1-2-2-12-2-211-1-1-1-2-2001-211112-1-1-12020-2011-1-1000000-1100000
χ252222-12-1-122-1222-12-1-122-1-1-100222-1-1-1-1-1-12-1-10202020000-1-1-1-10000-1-1000
χ262222-12-1-122-1222-12-1-122-1-1-100-2-22-1-1-1-1-1-12-1-10-20-20-200001111000011000
χ272222-12-1-122-122-2-1-2-1-1-2-2-1-1-1002221-1-1111-2110-2020-20000-1-1-1-1000011000
χ282222-12-1-122-122-2-1-2-1-1-2-2-1-1-100-2-221-1-1111-211020-202000011110000-1-1000
χ292222-12-1-122-12-22-1-21122-1-1-10022-2-111-1-11-211020-20-20000-1-1110000-11000
χ302222-12-1-122-12-22-1-21122-1-1-100-2-2-2-111-1-11-2110-20202000011-1-100001-1000
χ312222-12-1-122-12-2-2-1211-2-2-1-1-10022-211111-12-1-10-20-2020000-1-11100001-1000
χ322222-12-1-122-12-2-2-1211-2-2-1-1-100-2-2-211111-12-1-102020-2000011-1-10000-11000
χ332-2-22222-22-2-2-2002000002-2-22i−2i2i−2i00000000000000002i−2i002i−2i002-20000000
χ342-2-22222-22-2-2-2002000002-2-22i−2i−2i2i00000000000000002i−2i00−2i2i00-220000000
χ352-2-22222-22-2-2-2002000002-2-2−2i2i2i−2i0000000000000000−2i2i002i−2i00-220000000
χ362-2-22222-22-2-2-2002000002-2-2−2i2i−2i2i0000000000000000−2i2i00−2i2i002-20000000
χ374444-2-2-2-2-2-2-2-24414-2-2-2-21110000-2-21111-2-21100000000000000000000000
χ384444-2-2-2-2-2-2-2-24-41-4-2-2221110000-2211-1-122-1-100000000000000000000000
χ394444-2-2-2-2-2-2-2-2-441-422-2-211100002-2-1-11122-1-100000000000000000000000
χ404444-2-2-2-2-2-2-2-2-4-4142222111000022-1-1-1-1-2-21100000000000000000000000
χ4144-4-444-44-44-4-400400000-44-40000000000000000000000000000000000000
χ4244-4-44-2-442-2-4200-2000002-22000000000000000000000023−230000000000000
χ4344-4-44-2-442-2-4200-2000002-220000000000000000000000−23230000000000000
χ4444-4-4-242-2-442-400-2000002-220000000000000000000000000023−23000000000
χ4544-4-4-242-2-442-400-2000002-2200000000000000000000000000−2323000000000
χ464-44-444-4-4-4-44400400000-4-440000000000000000000000000000000000000
χ474-44-44-2-4-4224-200-2000−2i32i322-200000000−2i32i3000000000000000000000000000
χ484-44-44-2-4-4224-200-20002i3−2i322-2000000002i3−2i3000000000000000000000000000
χ494-44-4-2422-4-4-2400-20−2i32i30022-2000000−2i32i300000000000000000000000000000
χ504-44-4-2422-4-4-2400-202i3−2i30022-20000002i3−2i300000000000000000000000000000
χ514-44-4-2-22222-2-20010−2i32i3−2i32i3-1-11000000i3−i3i3−i3003-300000000000000000000000
χ524-44-4-2-22222-2-20010−2i32i32i3−2i3-1-11000000i3−i3−i3i300-3300000000000000000000000
χ534-44-4-2-22222-2-200102i3−2i3−2i32i3-1-11000000−i3i3i3−i300-3300000000000000000000000
χ544-44-4-2-22222-2-200102i3−2i32i3−2i3-1-11000000−i3i3−i3i3003-300000000000000000000000
χ554-4-444-24-4-22-4200-200000-2224i−4i000000000000000000−2i2i000000000000000
χ564-4-444-24-4-22-4200-200000-222−4i4i0000000000000000002i−2i000000000000000
χ574-4-44-24-224-42-400-200000-222004i−4i00000000000000000000−2i2i00000000000
χ584-4-44-24-224-42-400-200000-22200−4i4i000000000000000000002i−2i00000000000
χ5988-8-8-4-44-44-44400200000-22-20000000000000000000000000000000000000
χ608-8-88-4-4-44-4444002000002-2-20000000000000000000000000000000000000

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