Finite Group Databasebeta

← Group #10594574

Character table — Group #10594574

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11112222222222444444444488888888881212121212121212121212121212121218181818242424243636
order122233446666663446661212121212121212121212121212244444446612121212121222441212121224
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-111-111-1-1-1-111-1-1-1-11-1-11-1-1
χ31111111111111111111111111111111111-1-1111-1-11-1-11111-1-1-1-1-1-1-111-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111-1-11111111-1-1-1-1-1-111-1-11-11-111-1-1111111111111-1-1-1-1-1-1
χ6111111111111111-1-11111111-1-1-1-1-1-111-1-11-1-11-11-1111-1-1-1-111-1-1-1-1-111-111
χ7111111111111111-1-11111111-1-1-1-1-1-111-1-1-111-11-11-1-1-11111-1-1-1-1-1-11-1-1111
χ8111111111111111-1-11111111-1-1-1-1-1-111-1-1-11-11-1-111-1-1-1-1-1-1-1-111111111-1-1
χ9111111-1-111111111-1111-1-1-1-11-11-111-1-1-1-11-11-1-1-11111-1-111-1-111-1-1-11-111-1
χ10111111-1-111111111-1111-1-1-1-11-11-111-1-1-1-11-1-111-11-11111-1-1-1-1-1-111-1-111-11
χ11111111-1-111111111-1111-1-1-1-11-11-111-1-1-1-1-111-1-11-11-1-1-1-11111-1-11111-1-1-11
χ12111111-1-111111111-1111-1-1-1-11-11-111-1-1-1-1-11-1111-1-1-1-111-1-11111-1-11-11-11-1
χ13111111-1-11111111-11111-1-1-1-1-11-11-1-1-1-1111111-1-1-1-111-1-111-1-111-1-11-11-1-11
χ14111111-1-11111111-11111-1-1-1-1-11-11-1-1-1-11111-1-11-1-111111-1-1-1-1-1-11111-1-11-1
χ15111111-1-11111111-11111-1-1-1-1-11-11-1-1-1-111-1-111-111-1-1-1-1-11111-1-111-1-1111-1
χ16111111-1-11111111-11111-1-1-1-1-11-11-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-11-11-11
χ1722222-122-12-122-1-122-1-1-122-1-1-122-1-1-1-1-1-1-122000220-1-10000-1-10000-100-100
χ1822222-122-12-122-1-122-1-1-122-1-1-122-1-1-1-1-1-1-1-2-2000-2-20110000110000100100
χ1922222-122-12-122-1-1-2-2-1-1-122-1-11-2-2111-1-1112-20002-20-1-10000-1-10000100100
χ2022222-122-12-122-1-1-2-2-1-1-122-1-11-2-2111-1-111-22000-220110000110000-100-100
χ2122222-1-2-2-12-122-1-12-2-1-1-1-2-211-1-221-1-111112-2000-220-1-10000110000100-100
χ2222222-1-2-2-12-122-1-12-2-1-1-1-2-211-1-221-1-11111-220002-20110000-1-10000-100100
χ2322222-1-2-2-12-122-1-1-22-1-1-1-2-21112-2-11111-1-122000-2-20-1-10000110000-100100
χ2422222-1-2-2-12-122-1-1-22-1-1-1-2-21112-2-11111-1-1-2-2000220110000-1-10000100-100
χ252222-12222-12-1-12-122-1-1-1-1-1222-1-12-1-1-1-1-1-10022200200-1-1-1-10000000-1-1000
χ262222-12222-12-1-12-122-1-1-1-1-1222-1-12-1-1-1-1-1-100-2-2-200-2001111000000011000
χ272222-12222-12-1-12-1-2-2-1-1-1-1-122-211-211-1-111002-2200-200-1-1-1-1000000011000
χ282222-12222-12-1-12-1-2-2-1-1-1-1-122-211-211-1-11100-22-20020011110000000-1-1000
χ292222-12-2-22-12-1-12-12-2-1-1-111-2-221-1-2-1-11111002-2-20020011-1-10000000-11000
χ302222-12-2-22-12-1-12-12-2-1-1-111-2-221-1-2-1-1111100-22200-200-1-11100000001-1000
χ312222-12-2-22-12-1-12-1-22-1-1-111-2-2-2-1121111-1-10022-200-20011-1-100000001-1000
χ322222-12-2-22-12-1-12-1-22-1-1-111-2-2-2-1121111-1-100-2-2200200-1-1110000000-11000
χ3322-2-2222i−2i-2-22-22-2200-22-22i−2i2i−2i0000002i−2i0000000000000000002-22i−2i000000
χ3422-2-2222i−2i-2-22-22-2200-22-22i−2i2i−2i0000002i−2i000000000000000000-22−2i2i000000
χ3522-2-222−2i2i-2-22-22-2200-22-2−2i2i−2i2i000000−2i2i0000000000000000002-2−2i2i000000
χ3622-2-222−2i2i-2-22-22-2200-22-2−2i2i−2i2i000000−2i2i000000000000000000-222i−2i000000
χ374444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-211111100000000000000000000000000
χ384444-2-244-2-2-2-2-2-21-4-4111-2-2-2-22222-1-111-1-100000000000000000000000000
χ394444-2-2-4-4-2-2-2-2-2-214-41112222-22-2211-1-1-1-100000000000000000000000000
χ404444-2-2-4-4-2-2-2-2-2-21-4411122222-22-2-1-1-1-11100000000000000000000000000
χ4144-4-44-24i−4i2-4-2-442-2002-224i−4i−2i2i000000−2i2i0000000000000000000000000000
χ4244-4-44-2−4i4i2-4-2-442-2002-22−4i4i2i−2i0000002i−2i0000000000000000000000000000
χ4344-4-4-244i−4i-4242-2-4-2002-22−2i2i4i−4i000000−2i2i0000000000000000000000000000
χ4444-4-4-24−4i4i-4242-2-4-2002-222i−2i−4i4i0000002i−2i0000000000000000000000000000
χ4544-4-4-2-24i−4i22-22-22100-11-1−2i2i−2i2i00003-3i−i3i−3i00000000000000000000000000
χ4644-4-4-2-24i−4i22-22-22100-11-1−2i2i−2i2i0000-33i−i−3i3i00000000000000000000000000
χ4744-4-4-2-2−4i4i22-22-22100-11-12i−2i2i−2i00003-3−ii−3i3i00000000000000000000000000
χ4844-4-4-2-2−4i4i22-22-22100-11-12i−2i2i−2i0000-33−ii3i−3i00000000000000000000000000
χ494-44-4440044-4-4-4-44004-4-40000000000000000000000000000000000000000
χ504-44-44-200-242-4-42-200-2220000000000000000000000−2i32i30000000000000000
χ514-44-44-200-242-4-42-200-22200000000000000000000002i3−2i30000000000000000
χ524-44-4-24004-2-422-4-200-222000000000000000000000000−2i32i300000000000000
χ534-44-4-24004-2-422-4-200-2220000000000000000000000002i3−2i300000000000000
χ544-4-444400-4-4-44-44400-4-440000000000000000000000000000000000000000
χ554-4-444-2002-424-4-2-20022-20000000000000000000000000000−2i32i30000000000
χ564-4-444-2002-424-4-2-20022-200000000000000000000000000002i3−2i30000000000
χ574-4-44-2400-42-4-224-20022-20000000000000000000000000023−23000000000000
χ584-4-44-2400-42-4-224-20022-200000000000000000000000000−2323000000000000
χ598-88-8-4-400-4-444442002-2-20000000000000000000000000000000000000000
χ608-8-88-4-400444-44-4200-2-220000000000000000000000000000000000000000

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