Finite Group Databasebeta

← Group #10591465

Character table — Group #10591465

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111222222222244444444666666668888888888812121212121212121818181824242424242472
order122233446666663666121212128888888826666666612122424242424242424224444121212124
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11-111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1111
χ51111111111111111111111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-11-1-111-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-11
χ71111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1
χ9222222-2-22222222222-2-2-2-200000000000000000-2-20000000022-2-20000000
χ10222222-2-22222222222-2-2-2-200000000000000000-2-200000000-2-2220000000
χ1122222-12222-1-1-12-1-1-1-1-12-1222220000222-1-1-1-1-1-1-1-1-1-1-1-10000000020-1-1000
χ1222222-12222-1-1-12-1-1-1-1-12-1222220000-2-2-2111111-1-1-1-1-1-100000000-2011000
χ1322222-12222-1-1-12-1-1-1-1-12-12-2-2-2-20000222-1-1-1-1-1-1-1-1111100000000-2011000
χ1422222-12222-1-1-12-1-1-1-1-12-12-2-2-2-20000-2-2-2111111-1-111110000000020-1-1000
χ152222-1222-1-1222-1-1-1-1-12-12-1000022222-1-122-1-1-1-1-1-10000-1-1-1-100000200-1-10
χ162222-1222-1-1222-1-1-1-1-12-12-100002222-211-2-21111-1-10000-1-1-1-100000-200110
χ172222-1222-1-1222-1-1-1-1-12-12-10000-2-2-2-22-1-122-1-1-1-1-1-10000111100000-200110
χ182222-1222-1-1222-1-1-1-1-12-12-10000-2-2-2-2-211-2-21111-1-10000111100000200-1-10
χ1922-2-222002-2-2-22-222-2-2000022−2−2−i2−i2i2i20000000000022−2−2−i2−i2i2i2002i−2i0000000
χ2022-2-222002-2-2-22-222-2-2000022−2−2i2i2−i2−i20000000000022−2−2i2i2−i2−i200−2i2i0000000
χ2122-2-222002-2-2-22-222-2-20000−2−222−i2−i2i2i200000000000−2−222−i2−i2i2i200−2i2i0000000
χ2222-2-222002-2-2-22-222-2-20000−2−222i2i2−i2−i200000000000−2−222i2i2−i2−i2002i−2i0000000
χ232-22-2222-2-2-2-22-222-2-2222-2-22i−2i2i−2i00000000000002-22i−2i2i−2i000000000000000
χ242-22-2222-2-2-2-22-222-2-2222-2-2−2i2i−2i2i00000000000002-2−2i2i−2i2i000000000000000
χ252-22-222-22-2-2-22-222-2-22-2-22200002-22-2000000000-2200002-22-200000000000
χ262-22-222-22-2-2-22-222-2-22-2-2220000-22-22000000000-220000-22-2200000000000
χ272-22-22-12-2-2-21-112-111-1-121-22i−2i2i−2i0000000−i3i3−i3−i3i3i3-11−ii−ii00000000003−3000
χ282-22-22-12-2-2-21-112-111-1-121-22i−2i2i−2i0000000i3−i3i3i3−i3−i3-11−ii−ii0000000000−33000
χ292-22-22-12-2-2-21-112-111-1-121-2−2i2i−2i2i0000000−i3i3−i3−i3i3i3-11i−ii−i0000000000−33000
χ302-22-22-12-2-2-21-112-111-1-121-2−2i2i−2i2i0000000i3−i3i3i3−i3−i3-11i−ii−i00000000003−3000
χ312-22-2-12-2211-22-2-1-111-1-212-100002-22-20−i3i300−i3i3−i3i31-10000-11-1100000000−i3i30
χ322-22-2-12-2211-22-2-1-111-1-212-100002-22-20i3−i300i3−i3i3−i31-10000-11-1100000000i3−i30
χ332-22-2-12-2211-22-2-1-111-1-212-10000-22-220−i3i300−i3i3−i3i31-100001-11-100000000i3−i30
χ342-22-2-12-2211-22-2-1-111-1-212-10000-22-220i3−i300i3−i3i3−i31-100001-11-100000000−i3i30
χ352-2-222200-222-2-2-22-22-20000−i2i2i2−i2−i2i2i2−i200000000000−i2i2i2−i2−i2i2i2−i22-2000000000
χ362-2-222200-222-2-2-22-22-20000−i2i2i2−i2i2−i2−i2i200000000000−i2i2i2−i2i2−i2−i2i2-22000000000
χ372-2-222200-222-2-2-22-22-20000i2−i2−i2i2−i2i2i2−i200000000000i2−i2−i2i2−i2i2i2−i2-22000000000
χ382-2-222200-222-2-2-22-22-20000i2−i2−i2i2i2−i2−i2i200000000000i2−i2−i2i2i2−i2−i2i22-2000000000
χ3944444-2-4-444-2-2-24-2-2-2-22-42-400000000000000000220000000000000000000
χ404444-24-4-4-2-2444-2-2-2-2-2-42-4200000000000000000220000000000000000000
χ414444-2-244-2-2-2-2-2-21111-2-2-2-2000000004-2-2-2-21111110000000000000000000
χ424444-2-244-2-2-2-2-2-21111-2-2-2-200000000-42222-1-1-1-1110000000000000000000
χ434444-2-2-4-4-2-2-2-2-2-21111222200000000000003-3-33-1-10000000000000000000
χ444444-2-2-4-4-2-2-2-2-2-2111122220000000000000-333-3-1-10000000000000000000
χ4544-4-44-2004-422-2-4-2-22200002222−22−22000000000000000−2−222000000000000000
χ4644-4-44-2004-422-2-4-2-2220000−22−22222200000000000000022−2−2000000000000000
χ4744-4-4-2400-22-4-442-2-22200000000−2i2−2i22i22i2000000000000000i2i2−i2−i200000000000
χ4844-4-4-2400-22-4-442-2-222000000002i22i2−2i2−2i2000000000000000−i2−i2i2i200000000000
χ494-44-44-2-44-4-42-224-222-22-4-24000000000000000002-20000000000000000000
χ504-44-4-244-422-44-4-2-222-24-2-4200000000000000000-220000000000000000000
χ514-44-4-2-24-4222-22-21-1-11-2-22200000000000−2i32i3i3i3−i3−i31-10000000000000000000
χ524-44-4-2-24-4222-22-21-1-11-2-222000000000002i3−2i3−i3−i3i3i31-10000000000000000000
χ534-44-4-2-2-44222-22-21-1-1122-2-2000000000−2i32i300i3−i3i3−i3-110000000000000000000
χ544-44-4-2-2-44222-22-21-1-1122-2-20000000002i3−2i300−i3i3−i3i3-110000000000000000000
χ554-4-444-200-44-222-4-22-220000−2i22i22i2−2i2000000000000000i2−i2−i2i2000000000000000
χ564-4-444-200-44-222-4-22-2200002i2−2i2−2i22i2000000000000000−i2i2i2−i2000000000000000
χ574-4-44-24002-24-4-42-22-2200000000−2i22i22i2−2i2000000000000000i2−i2−i2i200000000000
χ584-4-44-24002-24-4-42-22-22000000002i2−2i2−2i22i2000000000000000−i2i2i2−i200000000000
χ5988-8-8-4-400-4444-4422-2-2000000000000000000000000000000000000000000
χ608-8-88-4-4004-4-44442-22-2000000000000000000000000000000000000000000

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